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