100 results found for "coefficient-fraction" in Class 10.
बहुपद \(2x^4+3x^2-5x+7\) में \(x^3\) के गुणांक और (x) के गुणांक का योग क्या है?
In \(2x^4+3x^2-5x+7\), what is the sum of the coefficient of \(x^3\) and the coefficient of (x)?
#coefficients
#missing-term
#sum
A (-5)
B (0)
C (5)
D (3)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).
Step 2
Why this answer is correct
The correct answer is A. (-5). The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).
Step 3
Exam Tip
\(x^3\) का गुणांक (0) और (x) का गुणांक (-5) है। योग (-5) है।
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समीकरण \(x^2+12x+36=0\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(x^2+12x+36=0\)?
#quadratic equations
#implicit coefficient
#coefficient
A (0)
B (1)
C (12)
D (36)
Explanation opens after your attempt
Step 1
Concept
When no number is written before \(x^2\), its coefficient is (1). This is often asked.
Step 2
Why this answer is correct
The correct answer is B. (1). When no number is written before \(x^2\), its coefficient is (1). This is often asked.
Step 3
Exam Tip
जब \(x^2\) के आगे कोई संख्या नहीं लिखी होती तब गुणांक (1) होता है। यह अक्सर पूछी जाने वाली बात है।
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एक भिन्न में हर अंश से (5) अधिक है। यदि अंश में (3) और हर में (1) जोड़ने पर भिन्न \(\frac{2}{3}\) हो जाती है, तो मूल भिन्न क्या है?
In a fraction, the denominator is (5) more than the numerator. If (3) is added to the numerator and (1) to the denominator, the fraction becomes \(\frac{2}{3}\). What is the original fraction?
#word-problem-fraction-substitution
A \(\frac{7}{12}\)
B \(\frac{8}{13}\)
C \(\frac{9}{14}\)
D \(\frac{10}{15}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{7}{12}\)
Step 1
Concept
Let the numerator be (x) and denominator be (x+5). From \(\frac{x+3}{x+6}=\frac{2}{3}\), solve carefully and verify the original fraction.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{7}{12}\). Let the numerator be (x) and denominator be (x+5). From \(\frac{x+3}{x+6}=\frac{2}{3}\), solve carefully and verify the original fraction.
Step 3
Exam Tip
अंश (x) और हर (x+5) लें। \(\frac{x+3}{x+6}=\frac{2}{3}\) से (x=3), इसलिए मूल भिन्न \(\frac{3}{8}\) नहीं; विकल्प जांचें।
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एक भिन्न में अंश हर से (3) कम है। यदि अंश और हर दोनों में (2) जोड़ने पर भिन्न \(\frac{4}{5}\) हो जाती है, तो मूल भिन्न क्या है?
In a fraction, the numerator is (3) less than the denominator. If (2) is added to both numerator and denominator, the fraction becomes \(\frac{4}{5}\). What is the original fraction?
#word-problem
#fraction
#substitution
A \(\frac{9}{12}\)
B \(\frac{10}{13}\)
C \(\frac{11}{14}\)
D \(\frac{12}{15}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{10}{13}\)
Step 1
Concept
Let the denominator be (y), so the numerator is (y-3). From \(\frac{y-1}{y+2}=\frac{4}{5}\), (y=13), so the fraction is \(\frac{10}{13}\).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{10}{13}\). Let the denominator be (y), so the numerator is (y-3). From \(\frac{y-1}{y+2}=\frac{4}{5}\), (y=13), so the fraction is \(\frac{10}{13}\).
Step 3
Exam Tip
मान लें हर (y) है तो अंश (y-3)। \(\frac{y-1}{y+2}=\frac{4}{5}\) से (y=13), इसलिए भिन्न \(\frac{10}{13}\) है।
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एक भिन्न में अंश हर से (3) कम है। यदि अंश में (2) और हर में (1) जोड़ने पर भिन्न \(\frac{3}{4}\) हो जाती है, तो मूल भिन्न क्या है?
In a fraction, the numerator is (3) less than the denominator. If (2) is added to the numerator and (1) to the denominator, the fraction becomes \(\frac{3}{4}\). What is the original fraction?
#linear equations
#fraction
#substitution
#class 10
A \(\frac{5}{8}\)
B \(\frac{6}{9}\)
C \(\frac{7}{10}\)
D \(\frac{8}{11}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{7}{10}\)
Step 1
Concept
Let the numerator be (x) and denominator be (y), giving (y-x=3) and \(\frac{x+2}{y+1}=\frac{3}{4}\). In exams, solve the simple linear equations after cross multiplication.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{7}{10}\). Let the numerator be (x) and denominator be (y), giving (y-x=3) and \(\frac{x+2}{y+1}=\frac{3}{4}\). In exams, solve the simple linear equations after cross multiplication.
Step 3
Exam Tip
अंश (x) और हर (y) मानकर (y-x=3) और \(\frac{x+2}{y+1}=\frac{3}{4}\) बनता है। परीक्षा में क्रॉस गुणा के बाद सरल रैखिक समीकरण हल करें।
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एक भिन्न में हर अंश से (5) अधिक है। यदि अंश और हर दोनों में (1) जोड़ने पर भिन्न \(\frac{2}{3}\) हो जाती है, तो मूल भिन्न क्या है?
In a fraction, the denominator is (5) more than the numerator. If (1) is added to both numerator and denominator, the fraction becomes \(\frac{2}{3}\). What is the original fraction?
#linear equations
#fraction
#substitution
#class 10
A \(\frac{9}{14}\)
B \(\frac{8}{13}\)
C \(\frac{7}{12}\)
D \(\frac{6}{11}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{9}{14}\)
Step 1
Concept
Let the numerator be (x) and denominator be (y), so (y=x+5) and \(\frac{x+1}{y+1}=\frac{2}{3}\). In exams, cross multiply when converting a fraction into an equation.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{9}{14}\). Let the numerator be (x) and denominator be (y), so (y=x+5) and \(\frac{x+1}{y+1}=\frac{2}{3}\). In exams, cross multiply when converting a fraction into an equation.
Step 3
Exam Tip
अंश (x) और हर (y) मानकर (y=x+5) और \(\frac{x+1}{y+1}=\frac{2}{3}\) बनता है। परीक्षा में भिन्न को समीकरण में बदलते समय क्रॉस गुणा करें।
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एक भिन्न का हर अंश से (3) अधिक है। यदि भिन्न और उसके व्युत्क्रम का योग \(\frac{29}{10}\) है तो अंश क्या है?
The denominator of a fraction is (3) more than its numerator. If the sum of the fraction and its reciprocal is \(\frac{29}{10}\), what is the numerator?
#quadratic equations
#fraction
#reciprocal
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The fraction is \(\frac{x}{x+3}\). From \(\frac{x}{x+3}+\frac{x+3}{x}=\frac{29}{10}\), (x=2) or (x=15), and among the options (2) is correct.
Step 2
Why this answer is correct
The correct answer is A. (2). The fraction is \(\frac{x}{x+3}\). From \(\frac{x}{x+3}+\frac{x+3}{x}=\frac{29}{10}\), (x=2) or (x=15), and among the options (2) is correct.
Step 3
Exam Tip
भिन्न \(\frac{x}{x+3}\) है। \(\frac{x}{x+3}+\frac{x+3}{x}=\frac{29}{10}\) से (x=2) या (x=15) आता है और विकल्पों में (2) सही है।
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एक धनात्मक भिन्न का हर अंश से (4) अधिक है। भिन्न और उसके व्युत्क्रम का योग \(\frac{41}{20}\) है। भिन्न क्या है?
In a positive fraction, the denominator is (4) more than the numerator. The sum of the fraction and its reciprocal is \(\frac{41}{20}\). What is the fraction?
#quadratic equations
#fraction
#reciprocal
A \(\frac{4}{8}\)
B \(\frac{5}{9}\)
C \(\frac{6}{10}\)
D \(\frac{8}{12}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{5}{9}\)
Step 1
Concept
Let the fraction be \(\frac{x}{x+4}\), then \(\frac{x}{x+4}+\frac{x+4}{x}=\frac{41}{20}\). This gives (x=5), so the fraction is \(\frac{5}{9}\).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{5}{9}\). Let the fraction be \(\frac{x}{x+4}\), then \(\frac{x}{x+4}+\frac{x+4}{x}=\frac{41}{20}\). This gives (x=5), so the fraction is \(\frac{5}{9}\).
Step 3
Exam Tip
भिन्न \(\frac{x}{x+4}\) हो, तो \(\frac{x}{x+4}+\frac{x+4}{x}=\frac{41}{20}\)। इससे (x=5), इसलिए भिन्न \(\frac{5}{9}\) है।
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एक भिन्न का हर अंश से (4) अधिक है। यदि अंश और हर दोनों में (2) जोड़ने पर भिन्न \(\frac{3}{5}\) हो जाती है तो मूल अंश क्या है?
The denominator of a fraction is (4) more than its numerator. If (2) is added to both numerator and denominator, the fraction becomes \(\frac{3}{5}\). What is the original numerator?
#quadratic equations
#fraction word problem
#linear reduction
A (4)
B (5)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
The numerator is (x) and denominator is (x+4). From \(\frac{x+2}{x+6}=\frac{3}{5}\), (x=4).
Step 2
Why this answer is correct
The correct answer is A. (4). The numerator is (x) and denominator is (x+4). From \(\frac{x+2}{x+6}=\frac{3}{5}\), (x=4).
Step 3
Exam Tip
अंश (x) और हर (x+4) है। \(\frac{x+2}{x+6}=\frac{3}{5}\) से (x=4) मिलता है।
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(p(x)=4x-6 -5x-4 +2x-2 -11) में \(x^5\) का गुणांक क्या है?
What is the coefficient of \(x^5\) in (p(x)=4x-6 -5x-4 +2x-2 -11)?
#missing term
#coefficient
#polynomial
A (0)
B (2)
C (4)
D (-5)
Explanation opens after your attempt
Step 1
Concept
The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).
Step 3
Exam Tip
\(x^5\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^5\) मानें।
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((3x-2)\(2x^2+x-5\)) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in ((3x-2)\(2x^2+x-5\))?
#multiplication
#coefficient
#expansion
A (-1)
B (1)
C (3)
D (7)
Explanation opens after your attempt
Step 1
Concept
((3x-2)\(2x^2+x-5\)=6x-3 -x-2 -17x+10), so the coefficient of \(x^2\) is (-1). Combine like terms after expansion.
Step 2
Why this answer is correct
The correct answer is A. (-1). ((3x-2)\(2x^2+x-5\)=6x-3 -x-2 -17x+10), so the coefficient of \(x^2\) is (-1). Combine like terms after expansion.
Step 3
Exam Tip
((3x-2)\(2x^2+x-5\)=6x-3 -x-2 -17x+10), इसलिए \(x^2\) का गुणांक (-1) है। विस्तार के बाद समान पद मिलाएं।
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(p(x)=5x-4 -3x-3 +2x-2 -x+8) और (q(x)=-2x-4 +7x-3 -5x-2 +4x-6) के योग में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in the sum of (p(x)=5x-4 -3x-3 +2x-2 -x+8) and (q(x)=-2x-4 +7x-3 -5x-2 +4x-6)?
#addition
#coefficient
#like terms
A (3)
B (4)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (4). The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^3\) के गुणांक (-3) और (7) हैं, इसलिए योग (4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=3x-5 -2x-4 +7x-6) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in (p(x)=3x-5 -2x-4 +7x-6)?
#missing term
#coefficient
#polynomial
A (0)
B (3)
C (-2)
D (7)
Explanation opens after your attempt
Step 1
Concept
The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 3
Exam Tip
\(x^3\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) मानें।
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((2x-1)\(x^2-3x+4\)) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in ((2x-1)\(x^2-3x+4\))?
#multiplication
#coefficient
#expansion
A (-7)
B (-6)
C (-5)
D (8)
Explanation opens after your attempt
Step 1
Concept
((2x-1)\(x^2-3x+4\)=2x-3 -7x-2 +11x-4), so the coefficient is (-7). Combine like terms after expansion.
Step 2
Why this answer is correct
The correct answer is A. (-7). ((2x-1)\(x^2-3x+4\)=2x-3 -7x-2 +11x-4), so the coefficient is (-7). Combine like terms after expansion.
Step 3
Exam Tip
((2x-1)\(x^2-3x+4\)=2x-3 -7x-2 +11x-4), इसलिए गुणांक (-7) है। विस्तार के बाद समान पद मिलाएं।
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(p(x)=4x-3 -7x-2 +2x-5) और (q(x)=-x-3 +3x-2 -6x+9) के योग में (x) का गुणांक क्या है?
What is the coefficient of (x) in the sum of (p(x)=4x-3 -7x-2 +2x-5) and (q(x)=-x-3 +3x-2 -6x+9)?
#addition
#coefficient
#like terms
A (-8)
B (-4)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 2
Why this answer is correct
The correct answer is B. (-4). The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 3
Exam Tip
(x) के गुणांक (2) और (-6) हैं, इसलिए योग (-4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=2x-4 -3x-3 +5x-9) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=2x-4 -3x-3 +5x-9)?
#missing term
#coefficient
#polynomial
A (0)
B (2)
C (-3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).
Step 3
Exam Tip
\(x^2\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^2\) मानें।
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((x-2)\(3x^2+4x-5\)) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in ((x-2)\(3x^2+4x-5\))?
#multiplication
#coefficient
#expansion
A (-4)
B (-2)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
((x-2)\(3x^2+4x-5\)=3x-3 -2x-2 -13x+10), so the coefficient of \(x^2\) is (-2). Combine like terms after expansion.
Step 2
Why this answer is correct
The correct answer is B. (-2). ((x-2)\(3x^2+4x-5\)=3x-3 -2x-2 -13x+10), so the coefficient of \(x^2\) is (-2). Combine like terms after expansion.
Step 3
Exam Tip
((x-2)\(3x^2+4x-5\)=3x-3 -2x-2 -13x+10), इसलिए \(x^2\) का गुणांक (-2) है। विस्तार में समान पद मिलाएं।
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(p(x)=3x-3 -2x-2 +5x-1) और (q(x)=-x-3 +7x-2 -4x+6) के योग में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in the sum of (p(x)=3x-3 -2x-2 +5x-1) and (q(x)=-x-3 +7x-2 -4x+6)?
#addition
#coefficient
#like terms
A (3)
B (5)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (5). The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^2\) के गुणांक (-2) और (7) हैं, जिनका योग (5) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=3x-3 -7x-2 +2x-11) में \(x^2\) के गुणांक और अचर पद का योग क्या है?
In (p(x)=3x-3 -7x-2 +2x-11), what is the sum of the coefficient of \(x^2\) and the constant term?
#coefficient
#constant term
#signs
A (-18)
B (-11)
C (-7)
D (4)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(x^2\) is (-7) and the constant term is (-11), so the sum is (-18). Do not forget to add with signs.
Step 2
Why this answer is correct
The correct answer is A. (-18). The coefficient of \(x^2\) is (-7) and the constant term is (-11), so the sum is (-18). Do not forget to add with signs.
Step 3
Exam Tip
\(x^2\) का गुणांक (-7) और अचर पद (-11) है, इसलिए योग (-18) है। संकेत सहित जोड़ना न भूलें।
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(p(x)=7x-4 -2x-2 +9) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in (p(x)=7x-4 -2x-2 +9)?
#coefficient
#missing term
#quartic
A (7)
B (-2)
C (0)
D (9)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).
Step 3
Exam Tip
\(x^3\) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) समझें।
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बहुपद (p(x)=5x-3 +0x-2 -4x+12) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=5x-3 +0x-2 -4x+12)?
#coefficient
#missing term
#polynomial
A (0)
B (5)
C (-4)
D (12)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).
Step 2
Why this answer is correct
The correct answer is A. (0). The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).
Step 3
Exam Tip
\(x^2\) वाला पद \(0x^2\) है इसलिए गुणांक (0) है। अनुपस्थित या शून्य पद का गुणांक (0) माना जाता है।
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(p(x)=8x-4 -5x-3 +2x-6) में \(x^4\) के पद का गुणांक क्या है?
What is the coefficient of the \(x^4\)-term in (p(x)=8x-4 -5x-3 +2x-6)?
#coefficient
#quartic term
#polynomial
A (8)
B (-5)
C (2)
D (-6)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the \(x^4\)-term \(8x^4\) is (8). Identify the power and coefficient separately.
Step 2
Why this answer is correct
The correct answer is A. (8). The coefficient of the \(x^4\)-term \(8x^4\) is (8). Identify the power and coefficient separately.
Step 3
Exam Tip
\(x^4\) वाले पद \(8x^4\) का गुणांक (8) है। घात और गुणांक को अलग पहचानें।
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बहुपद (p(z)=-6z-5 +4z-4 -z+8) का अग्र गुणांक क्या है?
What is the leading coefficient of (p(z)=-6z-5 +4z-4 -z+8)?
#leading coefficient
#degree
#polynomial
A (-6)
B (4)
C (-1)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the highest power term \(z^5\) is (-6). The leading coefficient is written with its sign.
Step 2
Why this answer is correct
The correct answer is A. (-6). The coefficient of the highest power term \(z^5\) is (-6). The leading coefficient is written with its sign.
Step 3
Exam Tip
सबसे बड़ी घात \(z^5\) के पद का गुणांक (-6) है। अग्र गुणांक संकेत सहित लिखा जाता है।
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यदि (p(x)=9x-2 +cx-5) में (x) का गुणांक (-4) है, तो (c) क्या है?
If the coefficient of (x) in (p(x)=9x-2 +cx-5) is (-4), what is (c)?
#coefficient
#parameter
#polynomial
A (-9)
B (-5)
C (-4)
D (4)
Explanation opens after your attempt
Step 1
Concept
In (cx), the coefficient of (x) is (c). It is given that (c=-4).
Step 2
Why this answer is correct
The correct answer is C. (-4). In (cx), the coefficient of (x) is (c). It is given that (c=-4).
Step 3
Exam Tip
(cx) में (x) का गुणांक (c) है। दिया है कि (c=-4)।
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(p(x)=5x-3 -8x-2 +13x-21) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=5x-3 -8x-2 +13x-21)?
#coefficient
#sign
#polynomial
A (5)
B (-8)
C (13)
D (-21)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the \(x^2\)-term \(-8x^2\) is (-8). Write the coefficient with its sign.
Step 2
Why this answer is correct
The correct answer is B. (-8). The coefficient of the \(x^2\)-term \(-8x^2\) is (-8). Write the coefficient with its sign.
Step 3
Exam Tip
\(x^2\) वाले पद \(-8x^2\) का गुणांक (-8) है। संकेत सहित गुणांक लिखना जरूरी है।
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निम्न में से किस बहुपद में प्रमुख गुणांक (1) नहीं है?
Which of the following polynomials does not have leading coefficient (1)?
#leading-coefficient
#monic-polynomial
#classification
A \(x^3+2x+5\)
B \(x^2-4\)
C \(3x^2+x+1\)
D \(x^5-x\)
Explanation opens after your attempt
Correct Answer
C. \(3x^2+x+1\)
Step 1
Concept
The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).
Step 2
Why this answer is correct
The correct answer is C. \(3x^2+x+1\). The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).
Step 3
Exam Tip
\(3x^2+x+1\) का प्रमुख पद \(3x^2\) है। इसका प्रमुख गुणांक (3) है, (1) नहीं।
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यदि \(x^3+2x^2+cx+5\) में (x) का गुणांक (6) है, तो (c+5) क्या होगा?
If the coefficient of (x) in \(x^3+2x^2+cx+5\) is (6), what will be (c+5)?
#coefficient
#parameter
#evaluation
A (6)
B (9)
C (11)
D (15)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (x) is (c=6). Therefore (c+5=11).
Step 2
Why this answer is correct
The correct answer is C. (11). The coefficient of (x) is (c=6). Therefore (c+5=11).
Step 3
Exam Tip
(x) का गुणांक (c=6) है। इसलिए (c+5=11) होगा।
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बहुपद \(3x^4-5x^2+2x-8\) का प्रमुख गुणांक क्या है?
What is the leading coefficient of \(3x^4-5x^2+2x-8\)?
#leading-coefficient
#degree-four
#polynomial
A (3)
B (-5)
C (2)
D (-8)
Explanation opens after your attempt
Step 1
Concept
The leading term is \(3x^4\). Therefore the leading coefficient is (3).
Step 2
Why this answer is correct
The correct answer is A. (3). The leading term is \(3x^4\). Therefore the leading coefficient is (3).
Step 3
Exam Tip
प्रमुख पद \(3x^4\) है। इसलिए प्रमुख गुणांक (3) है।
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निम्न में से किस बहुपद में (x) का गुणांक (0) है?
In which of the following polynomials is the coefficient of (x) equal to (0)?
#coefficient
#missing-x-term
#polynomial
A \(x^2+5x+6\)
B \(3x^2-4\)
C \(2x^3+x-1\)
D (7x-9)
Explanation opens after your attempt
Correct Answer
B. \(3x^2-4\)
Step 1
Concept
In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).
Step 2
Why this answer is correct
The correct answer is B. \(3x^2-4\). In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).
Step 3
Exam Tip
\(3x^2-4\) में (x) का पद नहीं है। इसलिए (x) का गुणांक (0) है।
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बहुपद \(7x^5-3x^4+x^2-11\) में अनुपस्थित \(x^3\) पद का गुणांक क्या है?
What is the coefficient of the missing \(x^3\) term in \(7x^5-3x^4+x^2-11\)?
#missing-term
#coefficient
#degree
A (7)
B (-3)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जाता है।
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यदि (p(x)=2x-3 +mx-2 -x+4) में \(x^2\) का गुणांक (-5) है, तो (m) क्या है?
If the coefficient of \(x^2\) in (p(x)=2x-3 +mx-2 -x+4) is (-5), what is (m)?
#coefficient
#parameter
#polynomial
A (5)
B (-5)
C (2)
D (-1)
Explanation opens after your attempt
Step 1
Concept
The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).
Step 2
Why this answer is correct
The correct answer is B. (-5). The multiplier of \(x^2\) is (m). Given (m=-5), so the answer is (-5).
Step 3
Exam Tip
\(x^2\) के साथ लगा गुणक (m) है। दिया है (m=-5), इसलिए उत्तर (-5) है।
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बहुपद \(4x^3-2x^2+7x-9\) में \(x^2\) के गुणांक और नियत पद का योग क्या है?
In the polynomial \(4x^3-2x^2+7x-9\), what is the sum of the coefficient of \(x^2\) and the constant term?
#coefficient
#constant-term
#polynomial
A (-11)
B (-7)
C (7)
D (11)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).
Step 2
Why this answer is correct
The correct answer is A. (-11). The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).
Step 3
Exam Tip
\(x^2\) का गुणांक (-2) और नियत पद (-9) है। उनका योग (-11) है।
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निम्न में से किस बहुपद का प्रमुख गुणांक (-2) है?
Which polynomial has leading coefficient (-2)?
#leading-coefficient
#cubic-polynomial
#easy
A \(5x^2-2x+1\)
B \(-2x^3+4x+7\)
C \(x^2-2\)
D (3x-2)
Explanation opens after your attempt
Correct Answer
B. \(-2x^3+4x+7\)
Step 1
Concept
The leading term of \(-2x^3+4x+7\) is \(-2x^3\). So the leading coefficient is (-2).
Step 2
Why this answer is correct
The correct answer is B. \(-2x^3+4x+7\). The leading term of \(-2x^3+4x+7\) is \(-2x^3\). So the leading coefficient is (-2).
Step 3
Exam Tip
\(-2x^3+4x+7\) का प्रमुख पद \(-2x^3\) है। इसलिए प्रमुख गुणांक (-2) है।
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\(5x^3+2x^2-x+8\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(5x^3+2x^2-x+8\)?
#coefficient
#cubic-term
#polynomial
A (5)
B (2)
C (-1)
D (8)
Explanation opens after your attempt
Step 1
Concept
The multiplier of \(x^3\) is (5). A coefficient is identified from its related term.
Step 2
Why this answer is correct
The correct answer is A. (5). The multiplier of \(x^3\) is (5). A coefficient is identified from its related term.
Step 3
Exam Tip
\(x^3\) के साथ लगा गुणक (5) है। गुणांक हमेशा संबंधित पद से पहचाना जाता है।
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(p(x)=2x-3 +3x-2 -5) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (p(x)=2x-3 +3x-2 -5)?
#coefficient
#missing term
#cubic
A (2)
B (3)
C (0)
D (-5)
Explanation opens after your attempt
Step 1
Concept
There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).
Step 3
Exam Tip
इसमें (x) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को (0x) समझें।
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बहुपद (p(x)=2x-2 +0x+3) में (x) का गुणांक क्या है?
What is the coefficient of (x) in (p(x)=2x-2 +0x+3)?
#coefficient
#missing term
#polynomial
A (0)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).
Step 2
Why this answer is correct
The correct answer is A. (0). The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).
Step 3
Exam Tip
(x) वाला पद (0x) है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद का गुणांक (0) मानें।
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(p(x)=4x-3 -2x-2 +7x-1) में \(x^3\) के पद का गुणांक क्या है?
What is the coefficient of the \(x^3\) term in (p(x)=4x-3 -2x-2 +7x-1)?
#coefficient
#cubic term
#polynomial
A (4)
B (-2)
C (7)
D (-1)
Explanation opens after your attempt
Step 1
Concept
The coefficient attached to \(x^3\) is (4). Identify the exponent and coefficient separately.
Step 2
Why this answer is correct
The correct answer is A. (4). The coefficient attached to \(x^3\) is (4). Identify the exponent and coefficient separately.
Step 3
Exam Tip
\(x^3\) के साथ गुणांक (4) जुड़ा है। घात और गुणांक को अलग अलग पहचानें।
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बहुपद (p(y)=9y-4 -y-2 +5y-6) का अग्र गुणांक क्या है?
What is the leading coefficient of (p(y)=9y-4 -y-2 +5y-6)?
#leading coefficient
#degree
#polynomial
A (9)
B (-1)
C (5)
D (-6)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the highest power term \(y^4\) is (9). That is the leading coefficient.
Step 2
Why this answer is correct
The correct answer is A. (9). The coefficient of the highest power term \(y^4\) is (9). That is the leading coefficient.
Step 3
Exam Tip
सबसे बड़ी घात \(y^4\) के पद का गुणांक (9) है। अग्र गुणांक वही होता है।
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(p(x)=2x-2 +kx+8) में (x) का गुणांक (5) हो तो (k) क्या है?
If the coefficient of (x) in (p(x)=2x-2 +kx+8) is (5), what is (k)?
#coefficient
#parameter
#polynomial
A (2)
B (5)
C (8)
D (10)
Explanation opens after your attempt
Step 1
Concept
In (kx), the coefficient of (x) is (k). It is given that (k=5).
Step 2
Why this answer is correct
The correct answer is B. (5). In (kx), the coefficient of (x) is (k). It is given that (k=5).
Step 3
Exam Tip
(kx) में (x) का गुणांक (k) है। दिया है (k=5)।
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व्यंजक \(7x^3+2x^2-x+6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(7x^3+2x^2-x+6\)?
#coefficient
#term
#polynomial
A (7)
B (2)
C (-1)
D (6)
Explanation opens after your attempt
Step 1
Concept
The numerical factor attached to \(x^2\) is (2). When coefficient is asked, identify the exact term.
Step 2
Why this answer is correct
The correct answer is B. (2). The numerical factor attached to \(x^2\) is (2). When coefficient is asked, identify the exact term.
Step 3
Exam Tip
\(x^2\) के साथ लगा संख्या गुणक (2) है। गुणांक पूछने पर उसी पद को पहचानें।
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बहुपद \(6x^2-x+13\) में (x) के गुणांक का सही मान कौन सा है?
Which is the correct coefficient of (x) in \(6x^2-x+13\)?
#coefficient
#negative-one
A (6)
B (-1)
C (1)
D (13)
Explanation opens after your attempt
Step 1
Concept
(-x) means (-1x), so the coefficient is (-1). Identify the hidden (1) with its sign.
Step 2
Why this answer is correct
The correct answer is B. (-1). (-x) means (-1x), so the coefficient is (-1). Identify the hidden (1) with its sign.
Step 3
Exam Tip
(-x) का अर्थ (-1x) है इसलिए गुणांक (-1) है। छिपे हुए (1) को चिह्न सहित पहचानें।
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बहुपद \(x^3+4x^2-5\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(x^3+4x^2-5\)?
#coefficient
#missing-term
A (1)
B (4)
C (0)
D (-5)
Explanation opens after your attempt
Step 1
Concept
It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.
Step 2
Why this answer is correct
The correct answer is C. (0). It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.
Step 3
Exam Tip
इसमें (x) का पद नहीं है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद को तुरंत पहचानना जरूरी है।
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बहुपद \(10x^3-6x^2+2x-1\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(10x^3-6x^2+2x-1\)?
#coefficient
#x-term
A (10)
B (-6)
C (2)
D (-1)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the (x)-term (2x) is (2). Look only at the term containing \(x^1\).
Step 2
Why this answer is correct
The correct answer is C. (2). The coefficient of the (x)-term (2x) is (2). Look only at the term containing \(x^1\).
Step 3
Exam Tip
(x) वाले पद (2x) का गुणांक (2) है। केवल उसी पद को देखें जिसमें \(x^1\) हो।
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\(2x^3-7\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(2x^3-7\)?
#coefficient
#missing-power
A (2)
B (0)
C (-7)
D (3)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\) term, so the coefficient is (0). A missing power can be treated as a term with zero coefficient.
Step 2
Why this answer is correct
The correct answer is B. (0). There is no \(x^2\) term, so the coefficient is (0). A missing power can be treated as a term with zero coefficient.
Step 3
Exam Tip
\(x^2\) का कोई पद नहीं है इसलिए गुणांक (0) है। अनुपस्थित घात को शून्य गुणांक वाला पद माना जा सकता है।
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\(4x^2+0x+9\) में कितने शून्य गुणांक वाले पद को स्पष्ट लिखा गया है?
How many terms with zero coefficient are explicitly written in \(4x^2+0x+9\)?
#zero-coefficient
#terms
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.
Step 2
Why this answer is correct
The correct answer is B. (1). (0x) is one term whose coefficient is (0). A zero-coefficient term does not change the value.
Step 3
Exam Tip
(0x) एक ऐसा पद है जिसका गुणांक (0) है। शून्य गुणांक वाला पद लिखने पर भी मान नहीं बदलता।
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\(3x^2-5x+7\) में प्रमुख गुणांक क्या है?
What is the leading coefficient of \(3x^2-5x+7\)?
#leading-coefficient
#polynomial
A (3)
B (-5)
C (7)
D (2)
Explanation opens after your attempt
Step 1
Concept
The leading term is \(3x^2\), so the leading coefficient is (3). The coefficient of the highest degree term is the leading coefficient.
Step 2
Why this answer is correct
The correct answer is A. (3). The leading term is \(3x^2\), so the leading coefficient is (3). The coefficient of the highest degree term is the leading coefficient.
Step 3
Exam Tip
प्रमुख पद \(3x^2\) है इसलिए प्रमुख गुणांक (3) है। सबसे बड़ी घात वाले पद का गुणांक प्रमुख गुणांक कहलाता है।
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बहुपद \(8x^5-3x^2+4\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(8x^5-3x^2+4\)?
#missing-term
#coefficient
A (8)
B (-3)
C (0)
D (4)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^3\) का पद नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक (0) माना जाता है।
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\(x^2-7x\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(x^2-7x\)?
#coefficient
#sign-error
A (1)
B (-7)
C (7)
D (0)
Explanation opens after your attempt
Step 1
Concept
The multiplier of (x) is (-7). Treat the negative sign as part of the coefficient.
Step 2
Why this answer is correct
The correct answer is B. (-7). The multiplier of (x) is (-7). Treat the negative sign as part of the coefficient.
Step 3
Exam Tip
(x) के साथ लगा गुणक (-7) है। ऋण चिह्न को गुणांक का भाग मानें।
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बहुपद \(5x^2-8x+6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^2-8x+6\)?
#coefficient
#polynomial-terms
#easy
A (5)
B (-8)
C (6)
D (2)
Explanation opens after your attempt
Step 1
Concept
The multiplier of \(x^2\) is (5). Identify the coefficient separately from the variable part.
Step 2
Why this answer is correct
The correct answer is A. (5). The multiplier of \(x^2\) is (5). Identify the coefficient separately from the variable part.
Step 3
Exam Tip
\(x^2\) के साथ लगा गुणक (5) है। पद के गुणांक को उसके चर भाग से अलग पहचानें।
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यदि (p(x)=2x-3 -5x+9) है, तो इसमें \(x^2\) का गुणांक क्या है?
If (p(x)=2x-3 -5x+9), what is the coefficient of \(x^2\)?
#polynomials
#one-variable
#coefficient
#missing-term
A (2)
B (-5)
C (9)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक हमेशा (0) माना जाता है।
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बहुपद \(2x^2+3x+4\) में (x) का गुणांक और नियत पद क्रमशः क्या हैं?
In \(2x^2+3x+4\), what are the coefficient of (x) and the constant term respectively?
#polynomials
#coefficient
#constant-term
#easy
A (3,4)
B (2,3)
C (4,3)
D (2,4)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (x) is (3), and the constant term is (4). Keep the asked order in mind.
Step 2
Why this answer is correct
The correct answer is A. (3,4). The coefficient of (x) is (3), and the constant term is (4). Keep the asked order in mind.
Step 3
Exam Tip
(x) का गुणांक (3) और नियत पद (4) है। क्रमशः पूछे गए क्रम का ध्यान रखें।
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\(4x^3+x+2\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(4x^3+x+2\)?
#polynomials
#missing-term
#easy
#coefficient
A (4)
B (1)
C (2)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक शून्य माना जाता है।
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बहुपद \(2x^2-7x+1\) में अग्र गुणांक क्या है?
What is the leading coefficient of \(2x^2-7x+1\)?
#polynomials
#leading-coefficient
#easy
A (2)
B (-7)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the highest-degree term \(2x^2\) is (2). This is called the leading coefficient.
Step 2
Why this answer is correct
The correct answer is A. (2). The coefficient of the highest-degree term \(2x^2\) is (2). This is called the leading coefficient.
Step 3
Exam Tip
सबसे बड़ी घात वाले पद \(2x^2\) का गुणांक (2) है। इसी को अग्र गुणांक कहते हैं।
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\(8x^3-5x^2+4\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(8x^3-5x^2+4\)?
#polynomials
#coefficient
#easy
#sign
A (8)
B (-5)
C (4)
D (2)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.
Step 2
Why this answer is correct
The correct answer is B. (-5). The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.
Step 3
Exam Tip
\(x^2\) वाला पद \(-5x^2\) है, इसलिए गुणांक (-5) है। चिह्न को गुणांक के साथ लिखें।
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बहुपद \(4x^2+0x+6\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(4x^2+0x+6\)?
#polynomials
#coefficient
#easy
#level48
A (4)
B (0)
C (6)
D (1)
Explanation opens after your attempt
Step 1
Concept
The (x)-term is (0x), so its coefficient is (0). Notice hidden zero terms.
Step 2
Why this answer is correct
The correct answer is B. (0). The (x)-term is (0x), so its coefficient is (0). Notice hidden zero terms.
Step 3
Exam Tip
(x) वाला पद (0x) है इसलिए गुणांक (0) है। छिपे हुए शून्य पदों पर ध्यान दें।
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बहुपद (p(x)=2x-4 -5x-3 +x-8) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=2x-4 -5x-3 +x-8)?
#coefficient
#missing_term
#degree_four
A (2)
B \(-5\)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\) term in this polynomial. Therefore the coefficient of \(x^2\) is (0).
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\) term in this polynomial. Therefore the coefficient of \(x^2\) is (0).
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है। इसलिए \(x^2\) का गुणांक (0) है।
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यदि (p(x)=2x-2 +kx+3) में (x) का गुणांक (5) है, तो (k) का मान क्या है?
If the coefficient of (x) in (p(x)=2x-2 +kx+3) is (5), what is the value of (k)?
#coefficient
#parameter
#polynomials
A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
Step 1
Concept
In (kx), the coefficient of (x) is (k). Therefore (k=5).
Step 2
Why this answer is correct
The correct answer is C. (5). In (kx), the coefficient of (x) is (k). Therefore (k=5).
Step 3
Exam Tip
(kx) में (x) का गुणांक (k) है। इसलिए (k=5) होगा।
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बहुपद \(2x^2-9\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(2x^2-9\)?
#coefficient
#missing_term
#polynomials
A (2)
B \(-9\)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
There is no (x)-term, so its coefficient is (0). In exams, treat the coefficient of a missing term as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no (x)-term, so its coefficient is (0). In exams, treat the coefficient of a missing term as (0).
Step 3
Exam Tip
इसमें (x) वाला पद लिखा नहीं है इसलिए उसका गुणांक (0) है। परीक्षा में लुप्त पद का गुणांक (0) मानें।
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बहुपद \(x^5-4x^2+10\) में लुप्त \(x^4\) पद का गुणांक क्या है?
What is the coefficient of the missing \(x^4\) term in \(x^5-4x^2+10\)?
#missing_term
#coefficient
#polynomials
A (1)
B \(-4\)
C (0)
D (10)
Explanation opens after your attempt
Step 1
Concept
A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
Step 2
Why this answer is correct
The correct answer is C. (0). A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
Step 3
Exam Tip
जो पद लिखा नहीं है उसका गुणांक (0) माना जाता है। इसलिए \(x^4\) का गुणांक (0) है।
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बहुपद \(9x^4-2x^3+7\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(9x^4-2x^3+7\)?
#coefficient
#terms
#polynomials
A (9)
B \(-2\)
C (7)
D (3)
Explanation opens after your attempt
Step 1
Concept
The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
Step 2
Why this answer is correct
The correct answer is B. \(-2\). The number attached to \(x^3\) is (-2). So the coefficient of \(x^3\) is (-2).
Step 3
Exam Tip
\(x^3\) के साथ (-2) लगा है। इसलिए \(x^3\) का गुणांक (-2) है।
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बहुपद \(5x^4-3x^2+x-6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^4-3x^2+x-6\)?
#coefficient
#polynomials
#terms
A (5)
B \(-3\)
C (1)
D \(-6\)
Explanation opens after your attempt
Step 1
Concept
The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 2
Why this answer is correct
The correct answer is B. \(-3\). The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 3
Exam Tip
\(x^2\) के साथ लगा संख्या गुणांक (-3) है। परीक्षा में पद का चिह्न भी गुणांक में शामिल करें।
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यदि किसी द्विघात समीकरण की जड़ें (3) और (-2) हैं और \(x^2\) का गुणांक (2) है, तो समीकरण कौन-सा है?
If the roots of a quadratic equation are (3) and (-2), and the coefficient of \(x^2\) is (2), which is the equation?
#quadratic-roots
#forming-equation
#leading-coefficient
A \(2x^2-2x-12=0\)
B \(2x^2+2x-12=0\)
C \(2x^2-2x+12=0\)
D \(x^2-x-6=0\)
Explanation opens after your attempt
Correct Answer
A. \(2x^2-2x-12=0\)
Step 1
Concept
The monic equation is \(x^2-x-6=0\). Since the coefficient of \(x^2\) must be (2), multiply the whole equation by (2).
Step 2
Why this answer is correct
The correct answer is A. \(2x^2-2x-12=0\). The monic equation is \(x^2-x-6=0\). Since the coefficient of \(x^2\) must be (2), multiply the whole equation by (2).
Step 3
Exam Tip
मॉनिक समीकरण \(x^2-x-6=0\) है। \(x^2\) का गुणांक (2) चाहिए, इसलिए पूरे समीकरण को (2) से गुणा करें।
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मानक रूप \(ax^2+bx+c=0\) में \(x^2\) का गुणांक किससे दर्शाया जाता है?
In the standard form \(ax^2+bx+c=0\), which symbol denotes the coefficient of \(x^2\)?
#quadratic-equations
#standard-form
#coefficient-a
A (b)
B (a)
C (c)
D (x)
Explanation opens after your attempt
Step 1
Concept
In standard form, the coefficient of \(x^2\) is (a). This coefficient must not be (0).
Step 2
Why this answer is correct
The correct answer is B. (a). In standard form, the coefficient of \(x^2\) is (a). This coefficient must not be (0).
Step 3
Exam Tip
मानक रूप में \(x^2\) का गुणांक (a) होता है। यही गुणांक (0) नहीं होना चाहिए।
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समीकरण \(2x^2-x+8=0\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(2x^2-x+8=0\)?
#quadratic-equations
#coefficient-b
#signs
A (-1)
B (1)
C (2)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficient of (-x) is (-1). It is necessary to write the coefficient with its sign.
Step 2
Why this answer is correct
The correct answer is A. (-1). The coefficient of (-x) is (-1). It is necessary to write the coefficient with its sign.
Step 3
Exam Tip
(-x) का गुणांक (-1) होता है। चिन्ह सहित गुणांक लिखना जरूरी है।
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समीकरण \(5x^2-2x+1=0\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^2-2x+1=0\)?
#quadratic-equations
#coefficient-a
#easy
A (5)
B (2)
C (1)
D (-2)
Explanation opens after your attempt
Step 1
Concept
The coefficient attached to \(x^2\) is (5). While writing a coefficient, take the numerical part attached to the term.
Step 2
Why this answer is correct
The correct answer is A. (5). The coefficient attached to \(x^2\) is (5). While writing a coefficient, take the numerical part attached to the term.
Step 3
Exam Tip
\(x^2\) के साथ लगा गुणांक (5) है। गुणांक लिखते समय केवल पद के साथ लगा संख्यात्मक भाग लें।
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यदि \(x^2+kx+12=0\) एक द्विघात समीकरण है तो (k) किस पद का गुणांक है?
If \(x^2+kx+12=0\) is a quadratic equation, then (k) is the coefficient of which term?
#quadratic equations
#coefficient
#standard form
A \(x^2\) पद / \(x^2\) term
B (x) पद / (x) term
C स्थिर पद (12) / Constant term (12)
D शून्य पद (0) / Zero term (0)
Explanation opens after your attempt
Correct Answer
B. (x) पद / (x) term
Step 1
Concept
In \(ax^2+bx+c=0\), (b) is the coefficient of (x). Here in (kx), (k) is the coefficient of (x).
Step 2
Why this answer is correct
The correct answer is B. (x) पद / (x) term. In \(ax^2+bx+c=0\), (b) is the coefficient of (x). Here in (kx), (k) is the coefficient of (x).
Step 3
Exam Tip
मानक रूप \(ax^2+bx+c=0\) में (x) का गुणांक (b) होता है। यहां (kx) में (k) (x) का गुणांक है।
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समीकरण \(x^2+8x+16=0\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(x^2+8x+16=0\)?
#quadratic equations
#coefficient
#implicit one
A (0)
B (1)
C (8)
D (16)
Explanation opens after your attempt
Step 1
Concept
When no number is written before \(x^2\), its coefficient is (1). This is a common exam mistake.
Step 2
Why this answer is correct
The correct answer is B. (1). When no number is written before \(x^2\), its coefficient is (1). This is a common exam mistake.
Step 3
Exam Tip
जब \(x^2\) के आगे कोई संख्या नहीं लिखी होती तब गुणांक (1) होता है। यह सामान्य परीक्षा गलती है।
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मैग्नीशियम के जलने की अभिक्रिया में ऑक्सीजन अणु के आगे गुणांक एक है। संतुलित समीकरण में मैग्नीशियम के आगे कौन सा गुणांक होगा?
In the burning reaction of magnesium the coefficient before oxygen molecule is one. What coefficient will be before magnesium in the balanced equation?
#science
#class10
#hard
#magnesium-oxide
#balancing
A एक / One
B दो / Two
C तीन / Three
D चार / Four
Explanation opens after your attempt
Step 1
Concept
One oxygen molecule has two oxygen atoms.
Step 2
Why this answer is correct
In magnesium oxide one magnesium combines with one oxygen.
Step 3
Exam Tip
Therefore two magnesium atoms are required. चरण 1: एक ऑक्सीजन अणु में दो ऑक्सीजन परमाणु होते हैं। चरण 2: मैग्नीशियम ऑक्साइड में एक मैग्नीशियम के साथ एक ऑक्सीजन जुड़ती है। चरण 3: इसलिए दो मैग्नीशियम परमाणुओं की जरूरत होगी।
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यदि ग्राफ में प्रतिच्छेद बिंदु (\left\(3.75,-2.5\right\)) पढ़ा गया है, तो भिन्न रूप क्या होगा?
If the intersection point is read as (\left\(3.75,-2.5\right\)) on a graph, what is its fraction form?
#decimal coordinates
#fraction form
#graph reading
A (\left\(\frac{15}{4},-\frac{5}{2}\right\))
B (\left\(\frac{5}{2},-\frac{15}{4}\right\))
C (\left\(\frac{375}{10},-\frac{25}{10}\right\))
D (\left\(-\frac{15}{4},\frac{5}{2}\right\))
Explanation opens after your attempt
Correct Answer
A. (\left\(\frac{15}{4},-\frac{5}{2}\right\))
Step 1
Concept
\(3.75=\frac{15}{4}\) and \(-2.5=-\frac{5}{2}\). It is better to convert decimal coordinates into simplified fractions.
Step 2
Why this answer is correct
The correct answer is A. (\left\(\frac{15}{4},-\frac{5}{2}\right\)). \(3.75=\frac{15}{4}\) and \(-2.5=-\frac{5}{2}\). It is better to convert decimal coordinates into simplified fractions.
Step 3
Exam Tip
\(3.75=\frac{15}{4}\) और \(-2.5=-\frac{5}{2}\)। दशमलव निर्देशांक को सरल भिन्न में बदलना बेहतर रहता है।
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यदि ग्राफ में प्रतिच्छेद बिंदु (\left\(2.25,-1.5\right\)) पढ़ा गया है, तो भिन्न रूप क्या होगा?
If the intersection point is read as (\left\(2.25,-1.5\right\)) on a graph, what is its fraction form?
#decimal coordinates
#fraction form
#graph reading
A (\left\(\frac{9}{4},-\frac{3}{2}\right\))
B (\left\(\frac{3}{2},-\frac{9}{4}\right\))
C (\left\(\frac{225}{10},-\frac{15}{10}\right\))
D (\left\(-\frac{9}{4},\frac{3}{2}\right\))
Explanation opens after your attempt
Correct Answer
A. (\left\(\frac{9}{4},-\frac{3}{2}\right\))
Step 1
Concept
\(2.25=\frac{9}{4}\) and \(-1.5=-\frac{3}{2}\). It is better to convert decimal coordinates into simplified fractions.
Step 2
Why this answer is correct
The correct answer is A. (\left\(\frac{9}{4},-\frac{3}{2}\right\)). \(2.25=\frac{9}{4}\) and \(-1.5=-\frac{3}{2}\). It is better to convert decimal coordinates into simplified fractions.
Step 3
Exam Tip
\(2.25=\frac{9}{4}\) और \(-1.5=-\frac{3}{2}\)। दशमलव निर्देशांक को सरल भिन्न में बदलना बेहतर रहता है।
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संख्या रेखा पर (-1.25) के समान बिंदु कौन सा भिन्न दिखाता है?
Which fraction shows the same point as (-1.25) on the number line?
#number-line
#decimal-to-fraction
#negative-rational
#equivalent
A \(-\frac{3}{4}\)
B \(-\frac{5}{4}\)
C \(\frac{5}{4}\)
D \(-\frac{7}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(-\frac{5}{4}\)
Step 1
Concept
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 2
Why this answer is correct
The correct answer is B. \(-\frac{5}{4}\). \(-1.25=-\frac{125}{100}=-\frac{5}{4}\). Convert the decimal into a simplified fraction.
Step 3
Exam Tip
\(-1.25=-\frac{125}{100}=-\frac{5}{4}\) है। दशमलव को सरल भिन्न में बदलें।
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संख्या रेखा पर (2.125) के समान बिंदु को कौन सा भिन्न दिखाता है?
Which fraction represents the same point as (2.125) on the number line?
#number-line
#decimal-to-fraction
#rational-numbers
#equivalent
A \(\frac{15}{8}\)
B \(\frac{16}{8}\)
C \(\frac{17}{8}\)
D \(\frac{19}{8}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{17}{8}\)
Step 1
Concept
\(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\). Convert decimals to fractions to identify the same point.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{17}{8}\). \(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\). Convert decimals to fractions to identify the same point.
Step 3
Exam Tip
\(2.125=2+0.125=2+\frac{1}{8}=\frac{17}{8}\) है। दशमलव को भिन्न में बदलकर समान बिंदु पहचानें।
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संख्या रेखा पर (-1.125) किस भिन्न के बराबर है?
Which fraction is equal to (-1.125) on the number line?
#polynomials
#number-line
#negative-decimal-fraction
#medium
A \(-\frac{9}{8}\)
B \(-\frac{8}{9}\)
C \(\frac{9}{8}\)
D \(-\frac{11}{25}\)
Explanation opens after your attempt
Correct Answer
A. \(-\frac{9}{8}\)
Step 1
Concept
\(-1.125=-\frac{1125}{1000}=-\frac{9}{8}\). In exams, keep the negative sign while simplifying.
Step 2
Why this answer is correct
The correct answer is A. \(-\frac{9}{8}\). \(-1.125=-\frac{1125}{1000}=-\frac{9}{8}\). In exams, keep the negative sign while simplifying.
Step 3
Exam Tip
\(-1.125=-\frac{1125}{1000}=-\frac{9}{8}\) है। परीक्षा में ऋण चिह्न को सरल करते समय साथ रखें।
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संख्या रेखा पर (0.375) को किस भिन्न से सही दर्शाया जाएगा?
Which fraction correctly represents (0.375) on the number line?
#polynomials
#number-line
#decimal-fraction
#medium
A \(\frac{3}{8}\)
B \(\frac{37}{5}\)
C \(\frac{5}{8}\)
D \(\frac{8}{3}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{8}\)
Step 1
Concept
\(0.375=\frac{375}{1000}=\frac{3}{8}\). In exams, convert the decimal into a fraction and simplify.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{8}\). \(0.375=\frac{375}{1000}=\frac{3}{8}\). In exams, convert the decimal into a fraction and simplify.
Step 3
Exam Tip
\(0.375=\frac{375}{1000}=\frac{3}{8}\) है। परीक्षा में दशमलव को भिन्न में बदलकर सरल करें।
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संख्या रेखा पर \(0.333\ldots\) किस भिन्न के बराबर है?
On the number line, \(0.333\ldots\) is equal to which fraction?
#number-line
#recurring-decimal
#fraction
#rational-numbers
A \(\frac{1}{2}\)
B \(\frac{1}{3}\)
C \(\frac{3}{10}\)
D \(\frac{2}{3}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{3}\)
Step 1
Concept
\(0.333\ldots=\frac{1}{3}\), so both are at the same point. Connect recurring decimals with fractions.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{3}\). \(0.333\ldots=\frac{1}{3}\), so both are at the same point. Connect recurring decimals with fractions.
Step 3
Exam Tip
\(0.333\ldots=\frac{1}{3}\), इसलिए दोनों एक ही बिंदु पर होंगे। आवर्ती दशमलव को भिन्न से जोड़कर याद रखें।
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संख्या रेखा पर (0.6) को किस भिन्न से दिखाया जा सकता है?
Which fraction can show (0.6) on the number line?
#polynomials
#number-line
#decimal-to-fraction
#class-10
A \(\frac{3}{5}\)
B \(\frac{5}{3}\)
C \(\frac{6}{1}\)
D \(\frac{1}{6}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{5}\)
Step 1
Concept
\(0.6=\frac{6}{10}=\frac{3}{5}\). In exams, use place value to form the fraction.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{5}\). \(0.6=\frac{6}{10}=\frac{3}{5}\). In exams, use place value to form the fraction.
Step 3
Exam Tip
\(0.6=\frac{6}{10}=\frac{3}{5}\) है। परीक्षा में दशमलव के स्थान मान से भिन्न बनाएं।
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संख्या रेखा पर (3.75) को भिन्न रूप में किस संख्या से दर्शाया जा सकता है?
Which fraction can represent (3.75) on the number line?
#polynomials
#number-line
#decimal-to-fraction
#class-10
A \(\frac{15}{4}\)
B \(\frac{7}{4}\)
C \(\frac{3}{4}\)
D \(\frac{75}{3}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{15}{4}\)
Step 1
Concept
\(3.75=\frac{375}{100}=\frac{15}{4}\). In exams, converting a decimal into a simple fraction is useful.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{15}{4}\). \(3.75=\frac{375}{100}=\frac{15}{4}\). In exams, converting a decimal into a simple fraction is useful.
Step 3
Exam Tip
\(3.75=\frac{375}{100}=\frac{15}{4}\) है। परीक्षा में दशमलव को सरल भिन्न में बदलना उपयोगी है।
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संख्या रेखा पर (2.25) किस भिन्न के बराबर है?
Which fraction is equal to (2.25) on the number line?
#decimal
#fraction
#number-line
A \(\frac{9}{4}\)
B \(\frac{4}{9}\)
C \(\frac{5}{4}\)
D \(\frac{11}{4}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{9}{4}\)
Step 1
Concept
\(2.25=\frac{225}{100}=\frac{9}{4}\). Converting a decimal to simplest fraction gives the correct point.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{9}{4}\). \(2.25=\frac{225}{100}=\frac{9}{4}\). Converting a decimal to simplest fraction gives the correct point.
Step 3
Exam Tip
\(2.25=\frac{225}{100}=\frac{9}{4}\)। दशमलव को सरल भिन्न में बदलना सही बिंदु देता है।
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संख्या रेखा पर (3.5) किस भिन्न के बराबर है?
Which fraction is equal to (3.5) on the number line?
#decimal
#fraction
#number-line
A \(\frac{7}{2}\)
B \(\frac{5}{3}\)
C \(\frac{3}{5}\)
D \(\frac{2}{7}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{7}{2}\)
Step 1
Concept
\(3.5=\frac{35}{10}=\frac{7}{2}\). Convert the decimal to a simplest fraction to fix its position.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{7}{2}\). \(3.5=\frac{35}{10}=\frac{7}{2}\). Convert the decimal to a simplest fraction to fix its position.
Step 3
Exam Tip
\(3.5=\frac{35}{10}=\frac{7}{2}\)। दशमलव को सरल भिन्न में बदलकर सही स्थान तय करें।
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संख्या रेखा पर (0.2) किस भिन्न के बराबर है?
Which fraction is equal to (0.2) on the number line?
#decimal
#fraction
#number-line
A \(\frac{1}{5}\)
B \(\frac{1}{2}\)
C \(\frac{2}{5}\)
D \(\frac{5}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{5}\)
Step 1
Concept
\(0.2=\frac{2}{10}=\frac{1}{5}\). Use decimal place value to form the simplest fraction.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{5}\). \(0.2=\frac{2}{10}=\frac{1}{5}\). Use decimal place value to form the simplest fraction.
Step 3
Exam Tip
\(0.2=\frac{2}{10}=\frac{1}{5}\)। दशमलव स्थान देखकर सरल भिन्न बनाइए।
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संख्या रेखा पर (1.25) किस भिन्न के बराबर है?
Which fraction is equal to (1.25) on the number line?
#decimal
#fraction
#number-line
A \(\frac{5}{4}\)
B \(\frac{4}{5}\)
C \(\frac{3}{4}\)
D \(\frac{7}{4}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5}{4}\)
Step 1
Concept
\(1.25=\frac{125}{100}=\frac{5}{4}\). Convert a decimal to a fraction to locate the point correctly.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5}{4}\). \(1.25=\frac{125}{100}=\frac{5}{4}\). Convert a decimal to a fraction to locate the point correctly.
Step 3
Exam Tip
\(1.25=\frac{125}{100}=\frac{5}{4}\)। दशमलव को भिन्न में बदलकर सही बिंदु पहचानें।
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(0.015625) को सरलतम भिन्न में लिखने पर हर क्या होगा?
What is the denominator when (0.015625) is written in lowest fraction form?
#decimal-to-fraction
#lowest-denominator
#terminating-decimal
#class-10
A (32)
B (64)
C (128)
D (256)
Explanation opens after your attempt
Step 1
Concept
\(0.015625=\frac{15625}{1000000}=\frac{1}{64}\). Convert a terminating decimal to a fraction and reduce the denominator.
Step 2
Why this answer is correct
The correct answer is B. (64). \(0.015625=\frac{15625}{1000000}=\frac{1}{64}\). Convert a terminating decimal to a fraction and reduce the denominator.
Step 3
Exam Tip
\(0.015625=\frac{15625}{1000000}=\frac{1}{64}\) है। सांत दशमलव को भिन्न में बदलकर हर को सरलतम रूप में देखें।
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(0.046875) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of (0.046875)?
#lowest-fraction
#decimal-conversion
#terminating-decimal
#real-numbers
A \(\frac{3}{64}\)
B \(\frac{15}{320}\)
C \(\frac{75}{1600}\)
D \(\frac{1}{64}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{64}\)
Step 1
Concept
\(0.046875=\frac{46875}{1000000}\), and reducing gives \(\frac{3}{64}\). Convert the decimal to a fraction and reduce fully.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{64}\). \(0.046875=\frac{46875}{1000000}\), and reducing gives \(\frac{3}{64}\). Convert the decimal to a fraction and reduce fully.
Step 3
Exam Tip
\(0.046875=\frac{46875}{1000000}\) है और सरल करने पर \(\frac{3}{64}\) मिलता है। दशमलव से भिन्न बनाकर अंतिम रूप तक सरल करें।
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\(0.00\overline{54}\) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of \(0.00\overline{54}\)?
#recurring-decimal
#fraction-form
#lowest-form
#expert
A \(\frac{3}{550}\)
B \(\frac{54}{990}\)
C \(\frac{6}{1100}\)
D \(\frac{1}{550}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{550}\)
Step 1
Concept
Two non-repeating zeros and two repeating digits give \(\frac{54}{9900}\). Reducing it gives \(\frac{3}{550}\).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{550}\). Two non-repeating zeros and two repeating digits give \(\frac{54}{9900}\). Reducing it gives \(\frac{3}{550}\).
Step 3
Exam Tip
दो अनावर्ती शून्य और दो आवर्ती अंकों से \(\frac{54}{9900}\) बनता है। इसे सरल करने पर \(\frac{3}{550}\) मिलता है।
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(0.00084) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of (0.00084)?
#decimal-to-fraction
#lowest-form
#terminating-decimal
#expert
A \(\frac{21}{25000}\)
B \(\frac{84}{10000}\)
C \(\frac{42}{50000}\)
D \(\frac{7}{2500}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{21}{25000}\)
Step 1
Concept
\(0.00084=\frac{84}{100000}\), and reducing by (4) gives \(\frac{21}{25000}\). Even for small decimals, check the greatest common factor carefully.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{21}{25000}\). \(0.00084=\frac{84}{100000}\), and reducing by (4) gives \(\frac{21}{25000}\). Even for small decimals, check the greatest common factor carefully.
Step 3
Exam Tip
\(0.00084=\frac{84}{100000}\) है और (4) से सरल करने पर \(\frac{21}{25000}\) मिलता है। छोटे दशमलव में भी महत्तम सामान्य गुणनखंड ध्यान से देखें।
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(0.03125) को सरलतम भिन्न में लिखने पर हर क्या होगा?
What is the denominator when (0.03125) is written in lowest fraction form?
#decimal-to-fraction
#lowest-denominator
#terminating-decimal
#class-10
A (16)
B (32)
C (64)
D (128)
Explanation opens after your attempt
Step 1
Concept
\(0.03125=\frac{3125}{100000}=\frac{1}{32}\). Convert a terminating decimal to a fraction and reduce the denominator.
Step 2
Why this answer is correct
The correct answer is B. (32). \(0.03125=\frac{3125}{100000}=\frac{1}{32}\). Convert a terminating decimal to a fraction and reduce the denominator.
Step 3
Exam Tip
\(0.03125=\frac{3125}{100000}=\frac{1}{32}\) है। सांत दशमलव को भिन्न में बदलकर हर को सरलतम रूप में देखें।
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(0.01875) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of (0.01875)?
#lowest-fraction
#decimal-conversion
#terminating-decimal
#real-numbers
A \(\frac{3}{160}\)
B \(\frac{15}{800}\)
C \(\frac{1875}{10000}\)
D \(\frac{1}{160}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{160}\)
Step 1
Concept
\(0.01875=\frac{1875}{100000}\), and dividing by (625) gives \(\frac{3}{160}\). Convert the decimal to a fraction and reduce fully.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{160}\). \(0.01875=\frac{1875}{100000}\), and dividing by (625) gives \(\frac{3}{160}\). Convert the decimal to a fraction and reduce fully.
Step 3
Exam Tip
\(0.01875=\frac{1875}{100000}\) है और (625) से भाग देने पर \(\frac{3}{160}\) मिलता है। दशमलव से भिन्न बनाकर अंतिम रूप तक सरल करें।
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(0.01875) को सरलतम भिन्न में लिखने पर हर का अभाज्य गुणनखंडन क्या होगा?
When (0.01875) is written in lowest fraction form, what is the prime factorisation of the denominator?
#decimal-to-fraction
#prime-factorisation
#option-audit
#real-numbers
A \(2^4\cdot 5\)
B \(2^5\cdot 5\)
C \(2^4\cdot 5^2\)
D \(2^6\cdot 5\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\cdot 5\)
Step 1
Concept
\(0.01875=\frac{1875}{100000}=\frac{3}{160}\), and \(160=2^5\cdot 5\). The correct prime factorisation is \(2^5\cdot 5\), so complete the calculation before choosing.
Step 2
Why this answer is correct
The correct answer is A. \(2^4\cdot 5\). \(0.01875=\frac{1875}{100000}=\frac{3}{160}\), and \(160=2^5\cdot 5\). The correct prime factorisation is \(2^5\cdot 5\), so complete the calculation before choosing.
Step 3
Exam Tip
\(0.01875=\frac{1875}{100000}=\frac{3}{160}\) और \(160=2^5\cdot 5\) है। सही अभाज्य रूप \(2^5\cdot 5\) है इसलिए गणना पूरी करके विकल्प चुनें।
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\(0.\overline{045}\) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of \(0.\overline{045}\)?
#recurring-decimal
#lowest-form
#fraction-conversion
#expert
A \(\frac{5}{111}\)
B \(\frac{15}{333}\)
C \(\frac{45}{99}\)
D \(\frac{1}{37}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5}{111}\)
Step 1
Concept
\(0.\overline{045}=\frac{45}{999}\), and reducing by (9) gives \(\frac{5}{111}\). First form the denominator with (9)'s according to the repeating digits.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5}{111}\). \(0.\overline{045}=\frac{45}{999}\), and reducing by (9) gives \(\frac{5}{111}\). First form the denominator with (9)'s according to the repeating digits.
Step 3
Exam Tip
\(0.\overline{045}=\frac{45}{999}\) और (9) से सरल करने पर \(\frac{5}{111}\) मिलता है। आवर्ती अंकों की संख्या के अनुसार पहले (9) वाला हर बनाएं।
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\(0.00\overline{63}\) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of \(0.00\overline{63}\)?
#recurring-decimal
#fraction-form
#lowest-form
#expert
A \(\frac{7}{1100}\)
B \(\frac{63}{990}\)
C \(\frac{9}{1100}\)
D \(\frac{21}{3300}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{7}{1100}\)
Step 1
Concept
Two non-repeating zeros and two repeating digits give \(\frac{63}{9900}\). Reducing it gives \(\frac{7}{1100}\).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{7}{1100}\). Two non-repeating zeros and two repeating digits give \(\frac{63}{9900}\). Reducing it gives \(\frac{7}{1100}\).
Step 3
Exam Tip
दो अनावर्ती शून्य और दो आवर्ती अंकों से \(\frac{63}{9900}\) बनता है। इसे सरल करने पर \(\frac{7}{1100}\) मिलता है।
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(0.00096) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of (0.00096)?
#decimal-to-fraction
#lowest-form
#terminating-decimal
#expert
A \(\frac{3}{3125}\)
B \(\frac{6}{6250}\)
C \(\frac{12}{12500}\)
D \(\frac{96}{100000}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{3125}\)
Step 1
Concept
\(0.00096=\frac{96}{100000}\), and reducing by (32) gives \(\frac{3}{3125}\). Even for small decimals, check the greatest common factor carefully.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{3125}\). \(0.00096=\frac{96}{100000}\), and reducing by (32) gives \(\frac{3}{3125}\). Even for small decimals, check the greatest common factor carefully.
Step 3
Exam Tip
\(0.00096=\frac{96}{100000}\) है और (32) से सरल करने पर \(\frac{3}{3125}\) मिलता है। छोटे दशमलव में भी महत्तम सामान्य गुणनखंड ध्यान से देखें।
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\(0.2\overline{54}\) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of \(0.2\overline{54}\)?
#recurring-decimal
#lowest-fraction
#decimal-conversion
#real-numbers
A \(\frac{14}{55}\)
B \(\frac{28}{110}\)
C \(\frac{252}{990}\)
D \(\frac{254}{999}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{14}{55}\)
Step 1
Concept
The non-repeating part (2) and repeating part (54) give \(\frac{252}{990}\), which reduces to \(\frac{14}{55}\). In exams, identify repeating and non-repeating digits separately.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{14}{55}\). The non-repeating part (2) and repeating part (54) give \(\frac{252}{990}\), which reduces to \(\frac{14}{55}\). In exams, identify repeating and non-repeating digits separately.
Step 3
Exam Tip
सांत भाग (2) और आवर्ती भाग (54) से भिन्न \(\frac{252}{990}\) बनती है जो \(\frac{14}{55}\) तक सरल होती है। परीक्षा में आवर्ती और अनावर्ती अंकों को अलग पहचानें।
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(0.0625) को सरलतम भिन्न में लिखने पर हर क्या होगा?
What is the denominator when (0.0625) is written in lowest fraction form?
#decimal-to-fraction
#lowest-denominator
#terminating-decimal
#class-10
A (8)
B (16)
C (32)
D (64)
Explanation opens after your attempt
Step 1
Concept
\(0.0625=\frac{625}{10000}=\frac{1}{16}\). Convert a terminating decimal to a fraction and always reduce the denominator.
Step 2
Why this answer is correct
The correct answer is B. (16). \(0.0625=\frac{625}{10000}=\frac{1}{16}\). Convert a terminating decimal to a fraction and always reduce the denominator.
Step 3
Exam Tip
\(0.0625=\frac{625}{10000}=\frac{1}{16}\)। सांत दशमलव को भिन्न में बदलकर हर को सरलतम रूप में अवश्य देखें।
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(0.0375) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of (0.0375)?
#lowest-fraction
#decimal-conversion
#terminating-decimal
#real-numbers
A \(\frac{3}{80}\)
B \(\frac{15}{400}\)
C \(\frac{375}{1000}\)
D \(\frac{1}{80}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{80}\)
Step 1
Concept
\(0.0375=\frac{375}{10000}\), and dividing by (125) gives \(\frac{3}{80}\). Convert the decimal to a fraction and reduce fully.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{80}\). \(0.0375=\frac{375}{10000}\), and dividing by (125) gives \(\frac{3}{80}\). Convert the decimal to a fraction and reduce fully.
Step 3
Exam Tip
\(0.0375=\frac{375}{10000}\) और (125) से भाग देने पर \(\frac{3}{80}\) मिलता है। दशमलव से भिन्न बनाकर अंतिम रूप तक सरल करें।
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(0.0375) को सरलतम भिन्न में लिखने पर हर का अभाज्य गुणनखंडन क्या होगा?
When (0.0375) is written in lowest fraction form, what is the prime factorisation of the denominator?
#decimal-to-fraction
#prime-factorisation
#option-audit
#real-numbers
A \(2^3\cdot 5\)
B \(2^4\cdot 5\)
C \(2^3\cdot 5^2\)
D \(2^4\cdot 5^2\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\cdot 5\)
Step 1
Concept
\(0.0375=\frac{375}{10000}=\frac{3}{80}\), and \(80=2^4\cdot 5\). The correct prime factorisation is \(2^4\cdot 5\).
Step 2
Why this answer is correct
The correct answer is A. \(2^3\cdot 5\). \(0.0375=\frac{375}{10000}=\frac{3}{80}\), and \(80=2^4\cdot 5\). The correct prime factorisation is \(2^4\cdot 5\).
Step 3
Exam Tip
\(0.0375=\frac{375}{10000}=\frac{3}{80}\) और \(80=2^4\cdot 5\)। सही अभाज्य रूप \(2^4\cdot 5\) है।
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\(0.00\overline{72}\) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of \(0.00\overline{72}\)?
#recurring-decimal
#fraction-form
#lowest-form
#expert
A \(\frac{2}{275}\)
B \(\frac{72}{990}\)
C \(\frac{8}{1100}\)
D \(\frac{1}{275}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{2}{275}\)
Step 1
Concept
Two non-repeating zeros and two repeating digits give \(\frac{72}{9900}\). Reducing it gives \(\frac{2}{275}\).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{2}{275}\). Two non-repeating zeros and two repeating digits give \(\frac{72}{9900}\). Reducing it gives \(\frac{2}{275}\).
Step 3
Exam Tip
दो अनावर्ती शून्य और दो आवर्ती अंकों से \(\frac{72}{9900}\) बनता है। इसे सरल करने पर \(\frac{2}{275}\) मिलता है।
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(0.00072) का सरलतम भिन्न रूप कौन-सा है?
Which is the lowest fraction form of (0.00072)?
#decimal-conversion
#lowest-fraction
#real-numbers
#hard
A \(\frac{9}{12500}\)
B \(\frac{72}{10000}\)
C \(\frac{18}{2500}\)
D \(\frac{36}{50000}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{9}{12500}\)
Step 1
Concept
\(0.00072=\frac{72}{100000}\), and reducing by (8) gives \(\frac{9}{12500}\). First write the denominator as a power of (10), then reduce.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{9}{12500}\). \(0.00072=\frac{72}{100000}\), and reducing by (8) gives \(\frac{9}{12500}\). First write the denominator as a power of (10), then reduce.
Step 3
Exam Tip
\(0.00072=\frac{72}{100000}\), जिसे (8) से सरल करने पर \(\frac{9}{12500}\) मिलता है। पहले (10) की घात वाला हर बनाकर फिर भिन्न को सरल करें।
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(0.00072) को सरलतम भिन्न में लिखने पर हर क्या होगा?
What is the denominator when (0.00072) is written as a fraction in lowest form?
#decimal-to-fraction
#lowest-form
#option-audit
#terminating-decimal
A (1250)
B (2500)
C (12500)
D (25000)
Explanation opens after your attempt
Step 1
Concept
\(0.00072=\frac{72}{100000}\), and reducing by (8) gives \(\frac{9}{12500}\). So the correct denominator is (12500); check the common factor carefully in small decimals.
Step 2
Why this answer is correct
The correct answer is A. (1250). \(0.00072=\frac{72}{100000}\), and reducing by (8) gives \(\frac{9}{12500}\). So the correct denominator is (12500); check the common factor carefully in small decimals.
Step 3
Exam Tip
\(0.00072=\frac{72}{100000}\) और (72) से सरल करने पर \(\frac{9}{12500}\) मिलता है। इसलिए सही हर (12500) है, छोटे दशमलवों में महत्तम सामान्य गुणनखंड ध्यान से देखें।
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कौन-सा विकल्प (0.0008) का सरलतम भिन्न रूप है?
Which option is the lowest fraction form of (0.0008)?
#decimal-to-fraction
#lowest-form
#terminating-decimal
#class-10
A \(\frac{1}{125}\)
B \(\frac{1}{1250}\)
C \(\frac{8}{1000}\)
D \(\frac{1}{800}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{1250}\)
Step 1
Concept
\(0.0008=\frac{8}{10000}\).
Step 2
Why this answer is correct
Dividing by (8) gives \(\frac{1}{1250}\).
Step 3
Exam Tip
First form the denominator as a power of (10), then reduce. चरण 1: \(0.0008=\frac{8}{10000}\) है। चरण 2: (8) से भाग देने पर \(\frac{1}{1250}\) मिलता है। चरण 3: दशमलव के स्थानों के अनुसार पहले (10) की घात वाला हर बनाइए, फिर सरल कीजिए।
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\(2.4\overline{6}\) को सरलतम भिन्न में लिखने पर हर क्या होगा?
What is the denominator when \(2.4\overline{6}\) is written as a fraction in lowest form?
#mixed-recurring-decimal
#fraction-conversion
#lowest-form
#real-numbers
A (15)
B (30)
C (45)
D (90)
Explanation opens after your attempt
Step 1
Concept
Let \(x=2.4666\ldots\).
Step 2
Why this answer is correct
\(10x=24.666\ldots\) and \(100x=246.666\ldots\), so (90x=222) and \(x=\frac{222}{90}=\frac{37}{15}\).
Step 3
Exam Tip
Align the recurring parts before subtracting. चरण 1: मान लें \(x=2.4666\ldots\)। चरण 2: \(10x=24.666\ldots\) और \(100x=246.666\ldots\), इसलिए (90x=222) और \(x=\frac{222}{90}=\frac{37}{15}\)। चरण 3: घटाने से पहले आवर्ती भाग को एक जैसी स्थिति में लाएँ।
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