Practice 10 number-system-integers-rationals-l2 multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.
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.
Sign up free to practice all questions with detailed explanations and track your progress.
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.
Q7. A teacher gives Devika table-top number cards instead of floor-walking cards because she uses a wheelchair. What is the best interpretation?
Q8. Match the property with the example: 1. Additive identity 2. Additive inverse 3. Multiplicative identity
Q9. For MCQ preparation, which teacher question best diagnoses whether Karan understands denominator 0?
Q10. Which pair is ordered from smaller to greater?
5 more questions available with a free account
Continue your mathematics-science-reet preparation with these related topics.
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
10 questions
Create a free account to access all number-system-integers-rationals-l2 MCQs, get detailed explanations, and track your progress across every subject.
