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number-system-integers-rationals-l2 MCQ — 10 Practice Questions with Answers

number-system-integers-rationals-l2 is a mathematics-science topic in the RAS/RPSC syllabus. This page gathers exam-style number-system-integers-rationals-l2 multiple-choice questions with correct answers and explanations, so aspirants can test recall and revise frequently examined concepts.

Practice 10 number-system-integers-rationals-l2 multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.

10 Questions mathematics-science

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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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Frequently Asked Questions

How many number-system-integers-rationals-l2 MCQ questions are available?
There are 10 number-system-integers-rationals-l2 practice MCQs available on Aspirant Academy, with detailed answers and explanations for each question.
Are answers and explanations provided for number-system-integers-rationals-l2 MCQs?
Yes, every number-system-integers-rationals-l2 question comes with the correct answer and a detailed explanation to help you understand the underlying concept.
How is number-system-integers-rationals-l2 relevant to the RAS/RPSC exam?
number-system-integers-rationals-l2 falls under the mathematics-science section of the RAS/RPSC syllabus. It is a frequently tested area and regular practice with these MCQs will strengthen your preparation.
Can I practice number-system-integers-rationals-l2 questions in Hindi?
Yes, Aspirant Academy offers bilingual support. You can practice number-system-integers-rationals-l2 MCQs in both English and Hindi, including questions, options, and explanations.

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