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number-system-integers-rationals-l2 MCQ — 10 अभ्यास प्रश्न उत्तर सहित

10 number-system-integers-rationals-l2 बहुविकल्पीय प्रश्नों का अभ्यास करें, विस्तृत उत्तर और व्याख्या सहित। RAS/RPSC परीक्षा की तैयारी के लिए आदर्श।

10 प्रश्न mathematics-science-reet

Practice Questions

Q1. A child writes 7 as 7/1. What does this show?

A 7 is a rational number. Correct
B 7 is not an integer.
C 7 has become a fraction less than 1.
D 7/1 is invalid because the denominator is 1.

Explanation

Writing 7 as 7/1 proves it fits the rational-number form p/q. Imran should notice that the denominator is 1, not 0, so the expression is valid and keeps the same value.

Q2. Assertion: -5 is less than -2. Reason: -5 lies to the left of -2 on the number line.

A Both are true but the reason does not explain the assertion.
B Both are true and the reason explains the assertion. Correct
C The assertion is true but the reason is false.
D The assertion is false but the reason is true.

Explanation

The assertion and reason are both correct. Zoya should compare negative numbers by their positions: the point farther left is smaller, so -5 is less than -2.

Q3. Which statement is false?

A Every integer is a rational number.
B Every rational number is an integer. Correct
C 0 is an integer.
D -4 can be written as -4/1.

Explanation

A single counterexample is enough. The number 2/3 is rational because it has integer numerator and non-zero integer denominator, but it is not an integer. That makes option B false.

Q4. Which example shows that integers are not closed under ordinary division?

A 1 divided by 2 = 1/2 Correct
B 6 + (-2) = 4
C 6 x (-2) = -12
D 6 - (-2) = 8

Explanation

Closure fails when even one valid operation on members of the set gives a result outside the set. Devika can use 1 divided by 2 because both inputs are integers but the result is not an integer.

Q5. Which statement correctly relates whole numbers and integers?

A Every whole number is an integer. Correct
B Every integer is a whole number.
C No whole number is an integer.
D Only negative numbers are integers.

Explanation

Whole numbers are 0 and the counting numbers. Integers extend that group by adding negative numbers. So Asha should see the integer set as larger, with every whole number already included inside it.

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Q6. Statement 1: Rational numbers are closed under division by a non-zero rational number. Statement 2: 4 divided by 0 is a rational number.

A Both statements are correct.
B Only Statement 2 is correct.
C Only Statement 1 is correct.
D Neither statement is correct.
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Q7. A teacher gives Devika table-top number cards instead of floor-walking cards because she uses a wheelchair. What is the best interpretation?

A The teacher has reduced the mathematics goal.
B The teacher should remove number-line work for everyone.
C The teacher is giving an accessible route to the same number-line concept.
D The activity is no longer useful for rational numbers.
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Q8. Match the property with the example: 1. Additive identity 2. Additive inverse 3. Multiplicative identity

A 1-a x 1 = a; 2-a + 0 = a; 3-a + (-a) = 0
B 1-a + 0 = a; 2-a + (-a) = 0; 3-a x 1 = a
C 1-a + (-a) = 0; 2-a x 1 = a; 3-a + 0 = a
D 1-a/a = 1; 2-a - a = 0; 3-a + 1 = a
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Q9. For MCQ preparation, which teacher question best diagnoses whether Karan understands denominator 0?

A Can you write the definition of rational number five times?
B Is 9/0 a fraction because it has a numerator and denominator?
C Should every denominator be a positive number?
D What number multiplied by 0 would give 9?
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Q10. Which pair is ordered from smaller to greater?

A -2, -7
B 1/2, -1/2
C 3/2, 1
D -7, -2

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Frequently Asked Questions

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Aspirant Academy पर 10 number-system-integers-rationals-l2 अभ्यास MCQ उपलब्ध हैं, प्रत्येक प्रश्न के लिए विस्तृत उत्तर और व्याख्या सहित।
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हाँ, number-system-integers-rationals-l2 के प्रत्येक प्रश्न के साथ सही उत्तर और विस्तृत व्याख्या दी गई है ताकि आप मूल अवधारणा को समझ सकें।
number-system-integers-rationals-l2 RAS/RPSC परीक्षा के लिए कैसे प्रासंगिक है?
number-system-integers-rationals-l2 RAS/RPSC पाठ्यक्रम के mathematics-science-reet अनुभाग के अंतर्गत आता है। यह एक नियमित रूप से परीक्षा में पूछा जाने वाला क्षेत्र है और इन MCQ के नियमित अभ्यास से आपकी तैयारी मजबूत होगी।
क्या मैं number-system-integers-rationals-l2 के प्रश्नों का हिंदी में अभ्यास कर सकता हूँ?
हाँ, Aspirant Academy द्विभाषी समर्थन प्रदान करता है। आप number-system-integers-rationals-l2 MCQ का अंग्रेजी और हिंदी दोनों में अभ्यास कर सकते हैं, जिसमें प्रश्न, विकल्प और व्याख्या शामिल हैं।

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