Question 1/8
Expert Mathematics
Polynomials Representing real numbers on the number line Class 10 Level 51
संख्या रेखा पर \( \frac{\sqrt{225}-6}{9} \) किस बिंदु के बराबर है?
On the number line, \( \frac{\sqrt{225}-6}{9} \) is equal to which point?
#number-line
#exact-expression
#operations
A (1)
B \( \frac{21}{9} \)
C \( \frac{9}{15} \)
D \( \frac{6}{9} \)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{225}=15 \), so \( \frac{15-6}{9}=1 \). Keep the order of operations correct.
Step 2
Why this answer is correct
The correct answer is A. (1). \( \sqrt{225}=15 \), so \( \frac{15-6}{9}=1 \). Keep the order of operations correct.
Step 3
Exam Tip
\( \sqrt{225}=15 \), इसलिए \( \frac{15-6}{9}=1 \)। संचालन का क्रम सही रखें।
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Question 2/8
Expert Mathematics
Polynomials Representing real numbers on the number line Class 10 Level 50
संख्या रेखा पर \( \frac{\sqrt{121}-4}{7} \) किस बिंदु के बराबर है?
On the number line, \( \frac{\sqrt{121}-4}{7} \) is equal to which point?
#number-line
#exact-expression
#operations
A (1)
B \( \frac{15}{7} \)
C \( \frac{7}{11} \)
D \( \frac{4}{7} \)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{121}=11 \), so \( \frac{11-4}{7}=1 \). Keep the order of operations correct.
Step 2
Why this answer is correct
The correct answer is A. (1). \( \sqrt{121}=11 \), so \( \frac{11-4}{7}=1 \). Keep the order of operations correct.
Step 3
Exam Tip
\( \sqrt{121}=11 \), इसलिए \( \frac{11-4}{7}=1 \)। संचालन का क्रम सही रखें।
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Question 3/8
Expert Mathematics
Polynomials Representing real numbers on the number line Class 10 Level 49
संख्या रेखा पर \( \frac{\sqrt{64}-3}{5} \) किस बिंदु के बराबर है?
On the number line, \( \frac{\sqrt{64}-3}{5} \) is equal to which point?
#number-line
#exact-expression
#operations
A (1)
B \( \frac{11}{5} \)
C \( \frac{5}{8} \)
D \( \frac{3}{5} \)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{64}=8 \), so \( \frac{8-3}{5}=1 \). Keep the order of operations correct.
Step 2
Why this answer is correct
The correct answer is A. (1). \( \sqrt{64}=8 \), so \( \frac{8-3}{5}=1 \). Keep the order of operations correct.
Step 3
Exam Tip
\( \sqrt{64}=8 \), इसलिए \( \frac{8-3}{5}=1 \)। संचालन का क्रम सही रखें।
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Question 4/8
Medium Mathematics
Polynomials Representing real numbers on the number line Class 10 Level 49
यदि संख्या रेखा पर (0) से दाईं ओर (2.25) इकाई और फिर बाईं ओर (0.5) इकाई चला जाए तो अंतिम बिंदु क्या होगा?
If we move (2.25) units right from (0) and then (0.5) unit left on the number line, what will be the final point?
#number-line
#movement
#decimals
#operations
A (1.25)
B (1.75)
C (2.75)
D (0.75)
Explanation opens after your attempt
Step 1
Concept
The final point is (0+2.25-0.5=1.75). Add for right movement and subtract for left movement.
Step 2
Why this answer is correct
The correct answer is B. (1.75). The final point is (0+2.25-0.5=1.75). Add for right movement and subtract for left movement.
Step 3
Exam Tip
अंतिम बिंदु (0+2.25-0.5=1.75) है। दाईं ओर जोड़ें और बाईं ओर घटाएं।
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Question 5/8
Hard Mathematics
Polynomials Operations on real numbers and the laws of exponents Class 10 Level 44
(\(2y^3-y+5\)-\(5y^3+4y-8\)) का सरल रूप क्या है?
What is the simplified form of (\(2y^3-y+5\)-\(5y^3+4y-8\))?
#polynomials
#subtraction
#like-terms
#operations
A \(,-3y^3-5y+13,\)
B \(,-3y^3+3y-3,\)
C \(,7y^3+3y-3,\)
D \(,-3y^3-5y-13,\)
Explanation opens after your attempt
Correct Answer
A. \(,-3y^3-5y+13,\)
Step 1
Concept
Changing all signs in the second bracket gives \(2y^3-y+5-5y^3-4y+8\). In exams, change the sign of every term during subtraction.
Step 2
Why this answer is correct
The correct answer is A. \(,-3y^3-5y+13,\). Changing all signs in the second bracket gives \(2y^3-y+5-5y^3-4y+8\). In exams, change the sign of every term during subtraction.
Step 3
Exam Tip
दूसरे bracket के सभी signs बदलने पर \(2y^3-y+5-5y^3-4y+8\) मिलता है। परीक्षा में subtraction में हर पद का sign बदलें।
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Question 6/8
Hard Mathematics
Polynomials Operations on real numbers and the laws of exponents Class 10 Level 44
(\(4x^2-3x+6\)+\(-x^2+7x-9\)) का योग क्या है?
What is the sum of (\(4x^2-3x+6\)+\(-x^2+7x-9\))?
#polynomials
#addition
#like-terms
#operations
A \(,3x^2+4x-3,\)
B \(,5x^2+4x-3,\)
C \(,3x^2-10x+15,\)
D \(,3x^2+10x-3,\)
Explanation opens after your attempt
Correct Answer
A. \(,3x^2+4x-3,\)
Step 1
Concept
Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 2
Why this answer is correct
The correct answer is A. \(,3x^2+4x-3,\). Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 3
Exam Tip
समान पद जोड़ने पर \(4x^2-x^2=3x^2\), (-3x+7x=4x) और (6-9=-3) मिलता है। परीक्षा में like terms को अलग-अलग जोड़ें।
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Question 7/8
Hard Mathematics
Polynomials Operations on real numbers and the laws of exponents Class 10 Level 43
(\(5x^3-2x+7\)-\(2x^3+3x-5\)) का सरल रूप क्या है?
What is the simplified form of (\(5x^3-2x+7\)-\(2x^3+3x-5\))?
#polynomials
#subtraction
#like-terms
#operations
A \(,3x^3-5x+12,\)
B \(,3x^3+x+2,\)
C \(,7x^3+x+2,\)
D \(,3x^3-5x-2,\)
Explanation opens after your attempt
Correct Answer
A. \(,3x^3-5x+12,\)
Step 1
Concept
Changing the signs of the second bracket gives \(5x^3-2x+7-2x^3-3x+5\), so the answer is \(3x^3-5x+12\). In exams, change the sign of every term in the bracket during subtraction.
Step 2
Why this answer is correct
The correct answer is A. \(,3x^3-5x+12,\). Changing the signs of the second bracket gives \(5x^3-2x+7-2x^3-3x+5\), so the answer is \(3x^3-5x+12\). In exams, change the sign of every term in the bracket during subtraction.
Step 3
Exam Tip
दूसरे bracket के signs बदलकर \(5x^3-2x+7-2x^3-3x+5\) मिलता है, इसलिए उत्तर \(3x^3-5x+12\) है। परीक्षा में subtraction में पूरे bracket का sign बदलें।
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Question 8/8
Hard Mathematics
Polynomials Operations on real numbers and the laws of exponents Class 10 Level 43
(\(3x^2-2x+1\)+\(x^2+5x-4\)) का योग क्या है?
What is the sum of (\(3x^2-2x+1\)+\(x^2+5x-4\))?
#polynomials
#addition
#like-terms
#operations
A \(,4x^2+3x-3,\)
B \(,4x^2-7x+5,\)
C \(,2x^2+3x-3,\)
D \(,4x^2+7x-5,\)
Explanation opens after your attempt
Correct Answer
A. \(,4x^2+3x-3,\)
Step 1
Concept
Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 2
Why this answer is correct
The correct answer is A. \(,4x^2+3x-3,\). Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 3
Exam Tip
समान पद जोड़ने पर \(3x^2+x^2=4x^2\), (-2x+5x=3x) और (1-4=-3) होता है। परीक्षा में like terms को columns में जोड़ें।
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