यदि (x=3) हो तो (2x+5) का मान क्या होगा?
If (x=3), what is the value of (2x+5)?
#algebra
#evaluation
#variables
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A (8)
B (11)
C (13)
D (15)
Explanation opens after your attempt
Step 1
Concept
Substituting (3) for (x) gives \(2\times3+5=11\). Exam tip: substitute first and then calculate.
Step 2
Why this answer is correct
The correct answer is B. (11). Substituting (3) for (x) gives \(2\times3+5=11\). Exam tip: substitute first and then calculate.
Step 3
Exam Tip
(x) के स्थान पर (3) रखने पर \(2\times3+5=11\) मिलता है। परीक्षा में पहले प्रतिस्थापन करें फिर गणना करें।
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कौन सी संख्या परिमेय संख्या कहलाती है?
Which number is called a rational number?
#rational numbers
#class 9
#definition
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A जिसे \( \frac{p}{q} \) के रूप में लिखा जा सके जहाँ \(q \neq 0\) / Can be written as \( \frac{p}{q} \) where \(q \neq 0\)
B केवल पूर्ण वर्ग संख्या / Only a perfect square number
C केवल अभाज्य संख्या / Only a prime number
D जिसे दशमलव में न लिखा जा सके / Cannot be written in decimal form
Explanation opens after your attempt
Correct Answer
A. जिसे \( \frac{p}{q} \) के रूप में लिखा जा सके जहाँ \(q \neq 0\) / Can be written as \( \frac{p}{q} \) where \(q \neq 0\)
Step 1
Concept
A rational number can be written as \( \frac{p}{q} \) where the denominator is not zero. Always check the denominator in exams.
Step 2
Why this answer is correct
The correct answer is A. जिसे \( \frac{p}{q} \) के रूप में लिखा जा सके जहाँ \(q \neq 0\) / Can be written as \( \frac{p}{q} \) where \(q \neq 0\). A rational number can be written as \( \frac{p}{q} \) where the denominator is not zero. Always check the denominator in exams.
Step 3
Exam Tip
परिमेय संख्या \( \frac{p}{q} \) के रूप में लिखी जाती है जहाँ हर शून्य नहीं होता। परीक्षा में हर को हमेशा जाँचें।
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\( \frac{3}{5} \) किस प्रकार की संख्या है?
What type of number is \( \frac{3}{5} \)?
#rational numbers
#class 9
#fraction
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A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C केवल प्राकृतिक संख्या / Only natural number
D केवल पूर्ण संख्या / Only whole number
Explanation opens after your attempt
Correct Answer
B. परिमेय संख्या / Rational number
Step 1
Concept
In \( \frac{3}{5} \), numerator and denominator are integers and the denominator is not zero. So it is rational.
Step 2
Why this answer is correct
The correct answer is B. परिमेय संख्या / Rational number. In \( \frac{3}{5} \), numerator and denominator are integers and the denominator is not zero. So it is rational.
Step 3
Exam Tip
\( \frac{3}{5} \) में अंश और हर पूर्णांक हैं तथा हर शून्य नहीं है। इसलिए यह परिमेय संख्या है।
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इनमें से कौन सी संख्या परिमेय है?
Which of the following numbers is rational?
#rational numbers
#class 9
#identification
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A \( \sqrt{2} \)
B \( \sqrt{3} \)
C \( \frac{-7}{4} \)
D \( \sqrt{5} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{-7}{4} \)
Step 1
Concept
\( \frac{-7}{4} \) is a ratio of two integers with non-zero denominator. The given square-root numbers are not in simple rational form.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{-7}{4} \). \( \frac{-7}{4} \) is a ratio of two integers with non-zero denominator. The given square-root numbers are not in simple rational form.
Step 3
Exam Tip
\( \frac{-7}{4} \) दो पूर्णांकों का अनुपात है और हर शून्य नहीं है। वर्गमूल वाली दी गई संख्याएँ सरल परिमेय रूप में नहीं हैं।
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किस विकल्प में (0) को परिमेय संख्या के रूप में सही लिखा गया है?
Which option correctly writes (0) as a rational number?
#rational numbers
#class 9
#zero
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A \( \frac{0}{5} \)
B \( \frac{5}{0} \)
C \( \frac{0}{0} \)
D \( \frac{7}{0} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{0}{5} \)
Step 1
Concept
(0) can be written as \( \frac{0}{q} \) where \(q \neq 0\). Never put zero in the denominator.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{0}{5} \). (0) can be written as \( \frac{0}{q} \) where \(q \neq 0\). Never put zero in the denominator.
Step 3
Exam Tip
(0) को \( \frac{0}{q} \) लिखा जा सकता है जहाँ \(q \neq 0\)। हर में शून्य कभी न रखें।
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\( \frac{6}{8} \) का सरलतम रूप क्या है?
What is the simplest form of \( \frac{6}{8} \)?
#rational numbers
#class 9
#simplification
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A \( \frac{2}{3} \)
B \( \frac{3}{4} \)
C \( \frac{4}{3} \)
D \( \frac{1}{4} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{3}{4} \)
Step 1
Concept
Dividing both (6) and (8) by (2) gives \( \frac{3}{4} \). Remove common factors for simplest form.
Step 2
Why this answer is correct
The correct answer is B. \( \frac{3}{4} \). Dividing both (6) and (8) by (2) gives \( \frac{3}{4} \). Remove common factors for simplest form.
Step 3
Exam Tip
(6) और (8) दोनों को (2) से भाग देने पर \( \frac{3}{4} \) मिलता है। सरलतम रूप में समान गुणनखंड हटाएँ।
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\( \frac{-9}{12} \) का मानक रूप क्या है?
What is the standard form of \( \frac{-9}{12} \)?
#rational numbers
#class 9
#standard form
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A \( \frac{-3}{4} \)
B \( \frac{3}{-4} \)
C \( \frac{-9}{4} \)
D \( \frac{9}{12} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{-3}{4} \)
Step 1
Concept
In standard form the denominator is positive and numerator and denominator are coprime. \( \frac{-9}{12}=\frac{-3}{4} \) is correct.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{-3}{4} \). In standard form the denominator is positive and numerator and denominator are coprime. \( \frac{-9}{12}=\frac{-3}{4} \) is correct.
Step 3
Exam Tip
मानक रूप में हर धनात्मक और अंश-हर सहाभाज्य होते हैं। \( \frac{-9}{12}=\frac{-3}{4} \) सही है।
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\( \frac{2}{3} \) के तुल्य कौन सा भिन्न है?
Which fraction is equivalent to \( \frac{2}{3} \)?
#rational numbers
#class 9
#equivalent fractions
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A \( \frac{4}{9} \)
B \( \frac{6}{8} \)
C \( \frac{8}{12} \)
D \( \frac{5}{6} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{8}{12} \)
Step 1
Concept
Multiplying \( \frac{2}{3} \) by (4) gives \( \frac{8}{12} \). For equivalent fractions multiply numerator and denominator by the same number.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{8}{12} \). Multiplying \( \frac{2}{3} \) by (4) gives \( \frac{8}{12} \). For equivalent fractions multiply numerator and denominator by the same number.
Step 3
Exam Tip
\( \frac{2}{3} \) को (4) से गुणा करने पर \( \frac{8}{12} \) मिलता है। तुल्य भिन्न में अंश और हर को समान संख्या से गुणा करें।
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\( \frac{5}{7} \) का योज्य प्रतिलोम क्या है?
What is the additive inverse of \( \frac{5}{7} \)?
#rational numbers
#class 9
#additive inverse
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A \( \frac{7}{5} \)
B \( \frac{-5}{7} \)
C \( \frac{5}{-5} \)
D \( \frac{1}{7} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{-5}{7} \)
Step 1
Concept
The additive inverse has the same value with the opposite sign. Their sum is (0).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{-5}{7} \). The additive inverse has the same value with the opposite sign. Their sum is (0).
Step 3
Exam Tip
किसी संख्या का योज्य प्रतिलोम वही संख्या विपरीत चिह्न के साथ होता है। दोनों का योग (0) होता है।
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\( \frac{-4}{9} \) का गुणात्मक प्रतिलोम क्या है?
What is the multiplicative inverse of \( \frac{-4}{9} \)?
#rational numbers
#class 9
#reciprocal
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A \( \frac{9}{4} \)
B \( \frac{-9}{4} \)
C \( \frac{4}{9} \)
D \( \frac{-4}{-9} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{-9}{4} \)
Step 1
Concept
In the multiplicative inverse numerator and denominator are interchanged and the sign remains. The product should be (1).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{-9}{4} \). In the multiplicative inverse numerator and denominator are interchanged and the sign remains. The product should be (1).
Step 3
Exam Tip
गुणात्मक प्रतिलोम में अंश और हर बदल जाते हैं और चिह्न वही रहता है। गुणनफल (1) होना चाहिए।
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\( \frac{1}{2}+\frac{1}{3} \) का मान क्या है?
What is the value of \( \frac{1}{2}+\frac{1}{3} \)?
#rational numbers
#class 9
#addition
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A \( \frac{2}{5} \)
B \( \frac{1}{6} \)
C \( \frac{5}{6} \)
D \( \frac{3}{6} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{5}{6} \)
Step 1
Concept
Taking common denominator (6), \( \frac{3}{6}+\frac{2}{6}=\frac{5}{6} \). Use LCM while adding fractions.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{5}{6} \). Taking common denominator (6), \( \frac{3}{6}+\frac{2}{6}=\frac{5}{6} \). Use LCM while adding fractions.
Step 3
Exam Tip
समान हर (6) लेने पर \( \frac{3}{6}+\frac{2}{6}=\frac{5}{6} \) मिलता है। भिन्न जोड़ते समय लघुत्तम समापवर्त्य लें।
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\( \frac{7}{10}-\frac{2}{10} \) का मान क्या है?
What is the value of \( \frac{7}{10}-\frac{2}{10} \)?
#rational numbers
#class 9
#subtraction
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A \( \frac{5}{10} \)
B \( \frac{9}{10} \)
C \( \frac{5}{20} \)
D \( \frac{1}{10} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{5}{10} \)
Step 1
Concept
The denominators are same, so subtract the numerators. \( \frac{7}{10}-\frac{2}{10}=\frac{5}{10}=\frac{1}{2} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{5}{10} \). The denominators are same, so subtract the numerators. \( \frac{7}{10}-\frac{2}{10}=\frac{5}{10}=\frac{1}{2} \).
Step 3
Exam Tip
हर समान है इसलिए अंश घटाएँ। \( \frac{7}{10}-\frac{2}{10}=\frac{5}{10}=\frac{1}{2} \)।
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\( \frac{3}{4}\times\frac{2}{5} \) का मान क्या है?
What is the value of \( \frac{3}{4}\times\frac{2}{5} \)?
#rational numbers
#class 9
#multiplication
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A \( \frac{5}{9} \)
B \( \frac{3}{10} \)
C \( \frac{6}{9} \)
D \( \frac{1}{20} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{3}{10} \)
Step 1
Concept
Multiply numerators and denominators separately. \( \frac{3\times2}{4\times5}=\frac{6}{20}=\frac{3}{10} \).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{3}{10} \). Multiply numerators and denominators separately. \( \frac{3\times2}{4\times5}=\frac{6}{20}=\frac{3}{10} \).
Step 3
Exam Tip
अंशों और हरों को अलग-अलग गुणा करें। \( \frac{3\times2}{4\times5}=\frac{6}{20}=\frac{3}{10} \)।
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\( \frac{5}{6}\div\frac{10}{3} \) का मान क्या है?
What is the value of \( \frac{5}{6}\div\frac{10}{3} \)?
#rational numbers
#class 9
#division
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A \( \frac{1}{4} \)
B \( \frac{5}{18} \)
C \( \frac{25}{18} \)
D \( \frac{3}{4} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{1}{4} \)
Step 1
Concept
Change division into multiplication by the reciprocal of the second fraction. \( \frac{5}{6}\times\frac{3}{10}=\frac{1}{4} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{1}{4} \). Change division into multiplication by the reciprocal of the second fraction. \( \frac{5}{6}\times\frac{3}{10}=\frac{1}{4} \).
Step 3
Exam Tip
भाग को दूसरे भिन्न के प्रतिलोम से गुणा में बदलें। \( \frac{5}{6}\times\frac{3}{10}=\frac{1}{4} \)।
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\( \frac{4}{9} \) और \( \frac{5}{9} \) में कौन बड़ी संख्या है?
Which is greater between \( \frac{4}{9} \) and \( \frac{5}{9} \)?
#rational numbers
#class 9
#comparison
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A \( \frac{4}{9} \)
B दोनों बराबर / Both are equal
C \( \frac{5}{9} \)
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Correct Answer
C. \( \frac{5}{9} \)
Step 1
Concept
The denominators are same, so the fraction with greater numerator is greater. Here (5) is greater.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{5}{9} \). The denominators are same, so the fraction with greater numerator is greater. Here (5) is greater.
Step 3
Exam Tip
हर समान है इसलिए बड़े अंश वाला भिन्न बड़ा होगा। यहाँ (5) बड़ा है।
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\( \frac{3}{8} \) और \( \frac{1}{2} \) में कौन छोटी संख्या है?
Which is smaller between \( \frac{3}{8} \) and \( \frac{1}{2} \)?
#rational numbers
#class 9
#comparison
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A \( \frac{3}{8} \)
B \( \frac{1}{2} \)
C दोनों बराबर / Both are equal
D दोनों अपरिमेय / Both are irrational
Explanation opens after your attempt
Correct Answer
A. \( \frac{3}{8} \)
Step 1
Concept
\( \frac{1}{2}=\frac{4}{8} \), so \( \frac{3}{8} \) is smaller. Making common denominators helps in comparison.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{3}{8} \). \( \frac{1}{2}=\frac{4}{8} \), so \( \frac{3}{8} \) is smaller. Making common denominators helps in comparison.
Step 3
Exam Tip
\( \frac{1}{2}=\frac{4}{8} \) है इसलिए \( \frac{3}{8} \) छोटी है। तुलना के लिए समान हर बनाना उपयोगी है।
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\( \frac{-2}{5} \) और \( \frac{1}{5} \) के बीच कौन सी संख्या आती है?
Which number lies between \( \frac{-2}{5} \) and \( \frac{1}{5} \)?
#rational numbers
#class 9
#between numbers
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A \( \frac{3}{5} \)
B \( \frac{2}{5} \)
C \( \frac{-1}{5} \)
D \( \frac{-4}{5} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{-1}{5} \)
Step 1
Concept
\( \frac{-1}{5} \) lies between \( \frac{-2}{5} \) and \( \frac{1}{5} \) on the number line. Be careful with the direction of negative numbers.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{-1}{5} \). \( \frac{-1}{5} \) lies between \( \frac{-2}{5} \) and \( \frac{1}{5} \) on the number line. Be careful with the direction of negative numbers.
Step 3
Exam Tip
\( \frac{-1}{5} \) संख्या रेखा पर \( \frac{-2}{5} \) और \( \frac{1}{5} \) के बीच है। ऋणात्मक संख्याओं की दिशा ध्यान रखें।
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\( \frac{1}{4} \) और \( \frac{3}{4} \) के बीच एक परिमेय संख्या कौन सी है?
Which is a rational number between \( \frac{1}{4} \) and \( \frac{3}{4} \)?
#rational numbers
#class 9
#between numbers
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A \( \frac{1}{8} \)
B \( \frac{1}{2} \)
C \( \frac{5}{4} \)
D \( \frac{7}{4} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{1}{2} \)
Step 1
Concept
\( \frac{1}{2}=\frac{2}{4} \), which lies between \( \frac{1}{4} \) and \( \frac{3}{4} \). Use common denominators to find a middle number.
Step 2
Why this answer is correct
The correct answer is B. \( \frac{1}{2} \). \( \frac{1}{2}=\frac{2}{4} \), which lies between \( \frac{1}{4} \) and \( \frac{3}{4} \). Use common denominators to find a middle number.
Step 3
Exam Tip
\( \frac{1}{2}=\frac{2}{4} \) है जो \( \frac{1}{4} \) और \( \frac{3}{4} \) के बीच है। बीच की संख्या के लिए समान हर बनाइए।
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किस विकल्प में हर शून्य होने के कारण संख्या परिभाषित नहीं है?
Which option is undefined because the denominator is zero?
#rational numbers
#class 9
#denominator
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A \( \frac{8}{2} \)
B \( \frac{0}{6} \)
C \( \frac{-3}{7} \)
D \( \frac{4}{0} \)
Explanation opens after your attempt
Correct Answer
D. \( \frac{4}{0} \)
Step 1
Concept
A fraction is undefined when the denominator is zero. In a rational number the denominator must always be non-zero.
Step 2
Why this answer is correct
The correct answer is D. \( \frac{4}{0} \). A fraction is undefined when the denominator is zero. In a rational number the denominator must always be non-zero.
Step 3
Exam Tip
हर शून्य होने पर भिन्न परिभाषित नहीं होती। परिमेय संख्या में हर हमेशा शून्य से अलग होना चाहिए।
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( -6 ) को परिमेय संख्या के रूप में कैसे लिखा जा सकता है?
How can ( -6 ) be written as a rational number?
#rational numbers
#class 9
#integers
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A \( \frac{-6}{1} \)
B \( \frac{1}{-6} \)
C \( \frac{6}{0} \)
D \( \frac{0}{-6} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{-6}{1} \)
Step 1
Concept
Any integer can be written as a rational number by taking denominator (1). Therefore \( -6=\frac{-6}{1} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{-6}{1} \). Any integer can be written as a rational number by taking denominator (1). Therefore \( -6=\frac{-6}{1} \).
Step 3
Exam Tip
हर (1) लेकर किसी भी पूर्णांक को परिमेय संख्या लिखा जा सकता है। इसलिए \( -6=\frac{-6}{1} \)।
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निम्न में से कौन सा कथन सही है?
Which of the following statements is correct?
#rational numbers
#class 9
#properties
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A हर पूर्णांक परिमेय संख्या है / Every integer is a rational number
B हर परिमेय संख्या प्राकृतिक संख्या है / Every rational number is a natural number
C हर भिन्न अपरिमेय संख्या है / Every fraction is irrational
D हर शून्य हर वाला भिन्न परिमेय है / Every fraction with zero denominator is rational
Explanation opens after your attempt
Correct Answer
A. हर पूर्णांक परिमेय संख्या है / Every integer is a rational number
Step 1
Concept
Every integer can be written as \( \frac{p}{1} \). Hence every integer is rational.
Step 2
Why this answer is correct
The correct answer is A. हर पूर्णांक परिमेय संख्या है / Every integer is a rational number. Every integer can be written as \( \frac{p}{1} \). Hence every integer is rational.
Step 3
Exam Tip
हर पूर्णांक \( \frac{p}{1} \) के रूप में लिखा जा सकता है। इसलिए हर पूर्णांक परिमेय है।
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(0.75) को भिन्न रूप में क्या लिखा जाएगा?
What is (0.75) in fraction form?
#rational numbers
#class 9
#decimal
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A \( \frac{3}{4} \)
B \( \frac{7}{5} \)
C \( \frac{75}{10} \)
D \( \frac{4}{3} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{3}{4} \)
Step 1
Concept
\(0.75=\frac{75}{100}=\frac{3}{4} \). Terminating decimals are always rational.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{3}{4} \). \(0.75=\frac{75}{100}=\frac{3}{4} \). Terminating decimals are always rational.
Step 3
Exam Tip
\(0.75=\frac{75}{100}=\frac{3}{4} \) है। समाप्त दशमलव हमेशा परिमेय होते हैं।
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(0.2) का परिमेय रूप क्या है?
What is the rational form of (0.2)?
#rational numbers
#class 9
#decimal
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A \( \frac{1}{2} \)
B \( \frac{1}{5} \)
C \( \frac{2}{5} \)
D \( \frac{5}{2} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{1}{5} \)
Step 1
Concept
\(0.2=\frac{2}{10}=\frac{1}{5} \). Convert decimals using denominators that are powers of (10).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{1}{5} \). \(0.2=\frac{2}{10}=\frac{1}{5} \). Convert decimals using denominators that are powers of (10).
Step 3
Exam Tip
\(0.2=\frac{2}{10}=\frac{1}{5} \) है। दशमलव को (10) की घात वाले हर में बदलें।
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कौन सा दशमलव परिमेय संख्या को दर्शाता है?
Which decimal represents a rational number?
#rational numbers
#class 9
#terminating decimal
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A केवल असमाप्त और अनावर्ती दशमलव / Only non-terminating non-repeating decimal
B समाप्त दशमलव / Terminating decimal
C बिना नियम वाला दशमलव / Decimal without pattern
D जिसमें कोई अंक न हो / Decimal with no digit
Explanation opens after your attempt
Correct Answer
B. समाप्त दशमलव / Terminating decimal
Step 1
Concept
A terminating decimal can be converted into a fraction. Therefore it is a rational number.
Step 2
Why this answer is correct
The correct answer is B. समाप्त दशमलव / Terminating decimal. A terminating decimal can be converted into a fraction. Therefore it is a rational number.
Step 3
Exam Tip
समाप्त दशमलव को भिन्न में बदला जा सकता है। इसलिए वह परिमेय संख्या है।
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\(0.\overline{3}\) का भिन्न रूप क्या है?
What is the fraction form of \(0.\overline{3}\)?
#rational numbers
#class 9
#repeating decimal
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A \( \frac{3}{10} \)
B \( \frac{1}{3} \)
C \( \frac{3}{100} \)
D \( \frac{10}{3} \)
Explanation opens after your attempt
Correct Answer
B. \( \frac{1}{3} \)
Step 1
Concept
\(0.\overline{3}\) is a repeating decimal and equals \( \frac{1}{3} \). Repeating decimals are rational.
Step 2
Why this answer is correct
The correct answer is B. \( \frac{1}{3} \). \(0.\overline{3}\) is a repeating decimal and equals \( \frac{1}{3} \). Repeating decimals are rational.
Step 3
Exam Tip
\(0.\overline{3}\) आवर्ती दशमलव है और इसका मान \( \frac{1}{3} \) है। आवर्ती दशमलव परिमेय होते हैं।
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किस प्रकार का दशमलव परिमेय संख्या नहीं होता?
Which type of decimal is not a rational number?
#rational numbers
#class 9
#decimal types
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A समाप्त दशमलव / Terminating decimal
B आवर्ती दशमलव / Repeating decimal
C असमाप्त और अनावर्ती दशमलव / Non-terminating non-repeating decimal
D शून्य दशमलव / Zero decimal
Explanation opens after your attempt
Correct Answer
C. असमाप्त और अनावर्ती दशमलव / Non-terminating non-repeating decimal
Step 1
Concept
A non-terminating non-repeating decimal is not rational. Identify the decimal pattern in exams.
Step 2
Why this answer is correct
The correct answer is C. असमाप्त और अनावर्ती दशमलव / Non-terminating non-repeating decimal. A non-terminating non-repeating decimal is not rational. Identify the decimal pattern in exams.
Step 3
Exam Tip
असमाप्त और अनावर्ती दशमलव परिमेय संख्या नहीं होता। परीक्षा में दशमलव का पैटर्न पहचानें।
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\( \frac{2}{5} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{2}{5} \)?
#rational numbers
#class 9
#decimal form
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A (0.4)
B (0.25)
C (0.5)
D (2.5)
Explanation opens after your attempt
Step 1
Concept
\( \frac{2}{5}=\frac{4}{10}=0.4 \). Changing denominator to (10) or (100) is an easy method.
Step 2
Why this answer is correct
The correct answer is A. (0.4). \( \frac{2}{5}=\frac{4}{10}=0.4 \). Changing denominator to (10) or (100) is an easy method.
Step 3
Exam Tip
\( \frac{2}{5}=\frac{4}{10}=0.4 \) है। हर को (10) या (100) में बदलना आसान तरीका है।
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\( \frac{7}{2} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{7}{2} \)?
#rational numbers
#class 9
#decimal conversion
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A (2.7)
B (3.5)
C (7.2)
D (1.4)
Explanation opens after your attempt
Step 1
Concept
Dividing (7) by (2) gives (3.5). Use division to find decimal form.
Step 2
Why this answer is correct
The correct answer is B. (3.5). Dividing (7) by (2) gives (3.5). Use division to find decimal form.
Step 3
Exam Tip
(7) को (2) से भाग देने पर (3.5) मिलता है। भाग करके दशमलव रूप निकालें।
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\( \frac{-1}{4} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{-1}{4} \)?
#rational numbers
#class 9
#negative decimal
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A (0.25)
B (-0.25)
C (-0.4)
D (0.4)
Explanation opens after your attempt
Correct Answer
B. (-0.25)
Step 1
Concept
\( \frac{1}{4}=0.25 \), so \( \frac{-1}{4}=-0.25 \). Keep the sign throughout the calculation.
Step 2
Why this answer is correct
The correct answer is B. (-0.25). \( \frac{1}{4}=0.25 \), so \( \frac{-1}{4}=-0.25 \). Keep the sign throughout the calculation.
Step 3
Exam Tip
\( \frac{1}{4}=0.25 \) है इसलिए \( \frac{-1}{4}=-0.25 \) होगा। चिह्न को अंत तक बनाए रखें।
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\( \frac{11}{100} \) का दशमलव रूप क्या है?
What is the decimal form of \( \frac{11}{100} \)?
#rational numbers
#class 9
#decimal place
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A (1.1)
B (0.011)
C (0.11)
D (11.00)
Explanation opens after your attempt
Step 1
Concept
The denominator is (100), so there will be two decimal places. \( \frac{11}{100}=0.11 \).
Step 2
Why this answer is correct
The correct answer is C. (0.11). The denominator is (100), so there will be two decimal places. \( \frac{11}{100}=0.11 \).
Step 3
Exam Tip
हर (100) है इसलिए दशमलव में दो स्थान होंगे। \( \frac{11}{100}=0.11 \)।
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\( \frac{9}{10} \) को संख्या रेखा पर कहाँ रखा जाएगा?
Where will \( \frac{9}{10} \) be placed on the number line?
#rational numbers
#class 9
#number line
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A (0) और (1) के बीच / Between (0) and (1)
B (1) और (2) के बीच / Between (1) and (2)
C (-1) और (0) के बीच / Between (-1) and (0)
D (2) के दाईं ओर / Right of (2)
Explanation opens after your attempt
Correct Answer
A. (0) और (1) के बीच / Between (0) and (1)
Step 1
Concept
\( \frac{9}{10} \) is less than (1) and greater than (0). So it lies between (0) and (1).
Step 2
Why this answer is correct
The correct answer is A. (0) और (1) के बीच / Between (0) and (1). \( \frac{9}{10} \) is less than (1) and greater than (0). So it lies between (0) and (1).
Step 3
Exam Tip
\( \frac{9}{10} \) का मान (1) से कम और (0) से अधिक है। इसलिए यह (0) और (1) के बीच है।
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\( \frac{-3}{2} \) संख्या रेखा पर किन दो पूर्णांकों के बीच है?
Between which two integers does \( \frac{-3}{2} \) lie on the number line?
#rational numbers
#class 9
#number line
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A (0) और (1) / (0) and (1)
B (1) और (2) / (1) and (2)
C (-2) और (-1) / (-2) and (-1)
D (-3) और (-2) / (-3) and (-2)
Explanation opens after your attempt
Correct Answer
C. (-2) और (-1) / (-2) and (-1)
Step 1
Concept
\( \frac{-3}{2}=-1.5 \), which lies between (-2) and (-1). Place negative decimals carefully on the number line.
Step 2
Why this answer is correct
The correct answer is C. (-2) और (-1) / (-2) and (-1). \( \frac{-3}{2}=-1.5 \), which lies between (-2) and (-1). Place negative decimals carefully on the number line.
Step 3
Exam Tip
\( \frac{-3}{2}=-1.5 \) है जो (-2) और (-1) के बीच आता है। ऋणात्मक दशमलव को संख्या रेखा पर सावधानी से रखें।
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दो परिमेय संख्याओं का योग हमेशा क्या होता है?
The sum of two rational numbers is always what?
#rational numbers
#class 9
#closure addition
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A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C केवल प्राकृतिक संख्या / Only natural number
D केवल शून्य / Only zero
Explanation opens after your attempt
Correct Answer
B. परिमेय संख्या / Rational number
Step 1
Concept
Rational numbers are closed under addition. The sum of two rational numbers is also rational.
Step 2
Why this answer is correct
The correct answer is B. परिमेय संख्या / Rational number. Rational numbers are closed under addition. The sum of two rational numbers is also rational.
Step 3
Exam Tip
परिमेय संख्याएँ योग के लिए संवृत होती हैं। दो परिमेय संख्याओं का योग भी परिमेय होता है।
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दो परिमेय संख्याओं का गुणनफल हमेशा क्या होता है?
The product of two rational numbers is always what?
#rational numbers
#class 9
#closure multiplication
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A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C केवल ऋणात्मक संख्या / Only negative number
D केवल पूर्णांक / Only integer
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
Rational numbers are closed under multiplication. So their product will be rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. Rational numbers are closed under multiplication. So their product will be rational.
Step 3
Exam Tip
परिमेय संख्याएँ गुणन के लिए संवृत होती हैं। इसलिए गुणनफल परिमेय संख्या ही होगा।
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परिमेय संख्याओं में योग का तत्समक अवयव कौन सा है?
What is the additive identity in rational numbers?
#rational numbers
#class 9
#additive identity
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A (1)
B (0)
C (-1)
D (2)
Explanation opens after your attempt
Step 1
Concept
Adding (0) to any rational number gives the same number. Hence (0) is the additive identity.
Step 2
Why this answer is correct
The correct answer is B. (0). Adding (0) to any rational number gives the same number. Hence (0) is the additive identity.
Step 3
Exam Tip
किसी भी परिमेय संख्या में (0) जोड़ने पर वही संख्या मिलती है। इसलिए (0) योग का तत्समक अवयव है।
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परिमेय संख्याओं में गुणन का तत्समक अवयव कौन सा है?
What is the multiplicative identity in rational numbers?
#rational numbers
#class 9
#multiplicative identity
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A (0)
B (-1)
C (1)
D (10)
Explanation opens after your attempt
Step 1
Concept
Multiplying any rational number by (1) gives the same number. Hence (1) is the multiplicative identity.
Step 2
Why this answer is correct
The correct answer is C. (1). Multiplying any rational number by (1) gives the same number. Hence (1) is the multiplicative identity.
Step 3
Exam Tip
किसी भी परिमेय संख्या को (1) से गुणा करने पर वही संख्या मिलती है। इसलिए (1) गुणन का तत्समक अवयव है।
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\( \frac{8}{-12} \) का मानक रूप क्या है?
What is the standard form of \( \frac{8}{-12} \)?
#rational numbers
#class 9
#standard form
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A \( \frac{-2}{3} \)
B \( \frac{2}{-3} \)
C \( \frac{-8}{12} \)
D \( \frac{8}{12} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{-2}{3} \)
Step 1
Concept
To keep the denominator positive, put the negative sign in the numerator. \( \frac{8}{-12}=\frac{-2}{3} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{-2}{3} \). To keep the denominator positive, put the negative sign in the numerator. \( \frac{8}{-12}=\frac{-2}{3} \).
Step 3
Exam Tip
हर को धनात्मक रखने के लिए ऋण चिह्न अंश में रखते हैं। \( \frac{8}{-12}=\frac{-2}{3} \)।
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\( \frac{-5}{-6} \) किसके बराबर है?
What is \( \frac{-5}{-6} \) equal to?
#rational numbers
#class 9
#sign rules
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A \( \frac{-5}{6} \)
B \( \frac{5}{-6} \)
C \( \frac{5}{6} \)
D \( \frac{-6}{5} \)
Explanation opens after your attempt
Correct Answer
C. \( \frac{5}{6} \)
Step 1
Concept
Two negative signs make a positive sign. Therefore \( \frac{-5}{-6}=\frac{5}{6} \).
Step 2
Why this answer is correct
The correct answer is C. \( \frac{5}{6} \). Two negative signs make a positive sign. Therefore \( \frac{-5}{-6}=\frac{5}{6} \).
Step 3
Exam Tip
दो ऋण चिह्न मिलकर धनात्मक बनाते हैं। इसलिए \( \frac{-5}{-6}=\frac{5}{6} \)।
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\( \frac{4}{5} \) में अंश कौन सा है?
What is the numerator in \( \frac{4}{5} \)?
#rational numbers
#class 9
#numerator
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A (4)
B (5)
C (9)
D (1)
Explanation opens after your attempt
Step 1
Concept
The number written on top in a fraction is the numerator. In \( \frac{4}{5} \), the numerator is (4).
Step 2
Why this answer is correct
The correct answer is A. (4). The number written on top in a fraction is the numerator. In \( \frac{4}{5} \), the numerator is (4).
Step 3
Exam Tip
भिन्न में ऊपर लिखी संख्या अंश होती है। \( \frac{4}{5} \) में अंश (4) है।
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\( \frac{13}{17} \) में हर कौन सा है?
What is the denominator in \( \frac{13}{17} \)?
#rational numbers
#class 9
#denominator
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A (13)
B (30)
C (17)
D (4)
Explanation opens after your attempt
Step 1
Concept
The number written below in a fraction is the denominator. In \( \frac{13}{17} \), the denominator is (17).
Step 2
Why this answer is correct
The correct answer is C. (17). The number written below in a fraction is the denominator. In \( \frac{13}{17} \), the denominator is (17).
Step 3
Exam Tip
भिन्न में नीचे लिखी संख्या हर होती है। \( \frac{13}{17} \) में हर (17) है।
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\( \frac{0}{-9} \) का मान क्या है?
What is the value of \( \frac{0}{-9} \)?
#rational numbers
#class 9
#zero numerator
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A (9)
B (0)
C (-9)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
Zero divided by any non-zero number is (0). Here the denominator (-9) is not zero.
Step 2
Why this answer is correct
The correct answer is B. (0). Zero divided by any non-zero number is (0). Here the denominator (-9) is not zero.
Step 3
Exam Tip
शून्य को किसी भी शून्य से अलग संख्या से भाग देने पर मान (0) होता है। यहाँ हर (-9) है जो शून्य नहीं है।
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(1) का परिमेय रूप कौन सा है?
Which is a rational form of (1)?
#rational numbers
#class 9
#rational form
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A \( \frac{2}{2} \)
B \( \frac{1}{0} \)
C \( \frac{0}{1} \)
D \( \frac{3}{2} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{2}{2} \)
Step 1
Concept
\( \frac{2}{2}=1 \) and the denominator is non-zero. So it is a rational form of (1).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{2}{2} \). \( \frac{2}{2}=1 \) and the denominator is non-zero. So it is a rational form of (1).
Step 3
Exam Tip
\( \frac{2}{2}=1 \) और हर शून्य नहीं है। इसलिए यह (1) का परिमेय रूप है।
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\( \frac{3}{7} \) और \( \frac{6}{14} \) के बारे में सही कथन क्या है?
What is the correct statement about \( \frac{3}{7} \) and \( \frac{6}{14} \)?
#rational numbers
#class 9
#equivalent fractions
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? Hint Small clue
A पहली बड़ी है / The first is greater
B दूसरी बड़ी है / The second is greater
C दोनों तुल्य हैं / Both are equivalent
D दोनों अपरिमेय हैं / Both are irrational
Explanation opens after your attempt
Correct Answer
C. दोनों तुल्य हैं / Both are equivalent
Step 1
Concept
Dividing \( \frac{6}{14} \) by (2) gives \( \frac{3}{7} \). So both are equivalent.
Step 2
Why this answer is correct
The correct answer is C. दोनों तुल्य हैं / Both are equivalent. Dividing \( \frac{6}{14} \) by (2) gives \( \frac{3}{7} \). So both are equivalent.
Step 3
Exam Tip
\( \frac{6}{14} \) को (2) से भाग देने पर \( \frac{3}{7} \) मिलता है। इसलिए दोनों तुल्य हैं।
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\( \frac{12}{15} \) को सरल करने के लिए अंश और हर को किससे भाग देंगे?
To simplify \( \frac{12}{15} \), by what should numerator and denominator be divided?
#rational numbers
#class 9
#hcf simplification
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? Hint Small clue
A (2)
B (3)
C (5)
D (12)
Explanation opens after your attempt
Step 1
Concept
The HCF of (12) and (15) is (3). So divide both by (3).
Step 2
Why this answer is correct
The correct answer is B. (3). The HCF of (12) and (15) is (3). So divide both by (3).
Step 3
Exam Tip
(12) और (15) का महत्तम समापवर्तक (3) है। इसलिए दोनों को (3) से भाग दें।
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\( \frac{2}{9} \) में \( \frac{1}{9} \) जोड़ने पर क्या मिलेगा?
What will be obtained by adding \( \frac{1}{9} \) to \( \frac{2}{9} \)?
#rational numbers
#class 9
#addition same denominator
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? Hint Small clue
A \( \frac{1}{9} \)
B \( \frac{2}{18} \)
C \( \frac{3}{18} \)
D \( \frac{3}{9} \)
Explanation opens after your attempt
Correct Answer
D. \( \frac{3}{9} \)
Step 1
Concept
The denominators are same, so add the numerators. \( \frac{2}{9}+\frac{1}{9}=\frac{3}{9} \).
Step 2
Why this answer is correct
The correct answer is D. \( \frac{3}{9} \). The denominators are same, so add the numerators. \( \frac{2}{9}+\frac{1}{9}=\frac{3}{9} \).
Step 3
Exam Tip
हर समान है इसलिए अंश जोड़ें। \( \frac{2}{9}+\frac{1}{9}=\frac{3}{9} \)।
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\( \frac{-7}{3} \) का विपरीत चिह्न वाला रूप कौन सा है?
Which is the form of \( \frac{-7}{3} \) with opposite sign?
#rational numbers
#class 9
#opposite sign
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A \( \frac{7}{3} \)
B \( \frac{-3}{7} \)
C \( \frac{3}{7} \)
D \( \frac{-7}{-3} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{7}{3} \)
Step 1
Concept
The form with opposite sign is \( \frac{7}{3} \). It is also the additive inverse of \( \frac{-7}{3} \).
Step 2
Why this answer is correct
The correct answer is A. \( \frac{7}{3} \). The form with opposite sign is \( \frac{7}{3} \). It is also the additive inverse of \( \frac{-7}{3} \).
Step 3
Exam Tip
विपरीत चिह्न वाला रूप \( \frac{7}{3} \) है। यह \( \frac{-7}{3} \) का योज्य प्रतिलोम भी है।
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\( \frac{3}{4} \) और \( \frac{3}{5} \) में कौन बड़ी संख्या है?
Which is greater between \( \frac{3}{4} \) and \( \frac{3}{5} \)?
#rational numbers
#class 9
#comparison same numerator
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? Hint Small clue
A \( \frac{3}{5} \)
B \( \frac{3}{4} \)
C दोनों बराबर / Both are equal
D दोनों ऋणात्मक / Both are negative
Explanation opens after your attempt
Correct Answer
B. \( \frac{3}{4} \)
Step 1
Concept
With the same numerator, the fraction with the smaller denominator is greater. Hence \( \frac{3}{4}>\frac{3}{5} \).
Step 2
Why this answer is correct
The correct answer is B. \( \frac{3}{4} \). With the same numerator, the fraction with the smaller denominator is greater. Hence \( \frac{3}{4}>\frac{3}{5} \).
Step 3
Exam Tip
समान अंश में छोटा हर वाला भिन्न बड़ा होता है। इसलिए \( \frac{3}{4}>\frac{3}{5} \)।
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\( \frac{-1}{3} \) और \( \frac{-1}{6} \) में कौन बड़ी संख्या है?
Which is greater between \( \frac{-1}{3} \) and \( \frac{-1}{6} \)?
#rational numbers
#class 9
#negative comparison
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? Hint Small clue
A \( \frac{-1}{3} \)
B दोनों बराबर / Both are equal
C \( \frac{-1}{6} \)
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Correct Answer
C. \( \frac{-1}{6} \)
Step 1
Concept
Among negative numbers, the one closer to zero is greater. \( \frac{-1}{6} \) is closer to zero.
Step 2
Why this answer is correct
The correct answer is C. \( \frac{-1}{6} \). Among negative numbers, the one closer to zero is greater. \( \frac{-1}{6} \) is closer to zero.
Step 3
Exam Tip
ऋणात्मक संख्याओं में जो शून्य के अधिक निकट हो वह बड़ी होती है। \( \frac{-1}{6} \) शून्य के अधिक निकट है।
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\( \frac{5}{8} \) को (16) हर वाले तुल्य भिन्न में बदलने पर अंश क्या होगा?
When \( \frac{5}{8} \) is changed to an equivalent fraction with denominator (16), what will be the numerator?
#rational numbers
#class 9
#equivalent denominator
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? Hint Small clue
A (5)
B (8)
C (10)
D (16)
Explanation opens after your attempt
Step 1
Concept
To change denominator (8) to (16), multiply by (2). So the numerator will be \(5\times2=10\).
Step 2
Why this answer is correct
The correct answer is C. (10). To change denominator (8) to (16), multiply by (2). So the numerator will be \(5\times2=10\).
Step 3
Exam Tip
हर (8) से (16) करने के लिए (2) से गुणा करें। इसलिए अंश \(5\times2=10\) होगा।
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\( \frac{2}{3} \) और \( \frac{4}{5} \) का अंतराल में मध्य मान कौन सा है?
Which is the middle value between \( \frac{2}{3} \) and \( \frac{4}{5} \)?
#rational numbers
#class 9
#average between numbers
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? Hint Small clue
A \( \frac{11}{15} \)
B \( \frac{1}{15} \)
C \( \frac{6}{15} \)
D \( \frac{14}{15} \)
Explanation opens after your attempt
Correct Answer
A. \( \frac{11}{15} \)
Step 1
Concept
The middle value is \( \frac{\frac{2}{3}+\frac{4}{5}}{2}=\frac{11}{15} \). You can take the average to find a number between two numbers.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{11}{15} \). The middle value is \( \frac{\frac{2}{3}+\frac{4}{5}}{2}=\frac{11}{15} \). You can take the average to find a number between two numbers.
Step 3
Exam Tip
मध्य मान \( \frac{\frac{2}{3}+\frac{4}{5}}{2}=\frac{11}{15} \) है। दो संख्याओं के बीच संख्या के लिए औसत ले सकते हैं।
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