Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Rational Numbers, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. Which rational number lies exactly midway between 1/3 and 1/2?
(A) 5/12
(B) 5/6
(C) 31/60
(D) 2/5
Q2. What is the multiplicative inverse (reciprocal) of −1/6?
(A) 6
(B) −6
(C) 1/6
(D) −1/6
Q3. What is the additive inverse of 7/8?
(A) 8/7
(B) −7/8
(C) 7/8
(D) −8/7
Q4. Which of these has no reciprocal?
(A) 1
(B) −1
(C) 0
(D) 1/2
Q5. What is the multiplicative inverse (reciprocal) of −2/3?
(A) 3/2
(B) 2/3
(C) −2/3
(D) −3/2
Q6. What is the additive inverse of −2/3?
(A) −3/2
(B) −2/3
(C) 2/3
(D) 3/2
Q7. Zero (0) is ________.
(A) not a rational number
(B) an irrational number
(C) a rational number
(D) a natural number
Q8. What is the additive inverse of −3/7?
(A) −7/3
(B) −3/7
(C) 7/3
(D) 3/7
Q9. Which rational number lies exactly midway between 2/5 and 3/5?
(A) 1
(B) 3/5
(C) 7/10
(D) 1/2
Q10. Which rational number lies exactly midway between 1/5 and 1/4?
(A) 9/40
(B) 9/20
(C) 13/40
(D) 2/9
Answer Key with Explanations
(A) 5/12 — Midpoint = (a + b)/2 = 5/12.
(B) −6 — The product of a number and its reciprocal is 1: −1/6 × −6 = 1.
(B) −7/8 — A number plus its additive inverse is 0: 7/8 + (−7/8) = 0.
(C) 0 — 1/0 is not defined, so 0 has no reciprocal.
(D) −3/2 — The product of a number and its reciprocal is 1: −2/3 × −3/2 = 1.
(C) 2/3 — A number plus its additive inverse is 0: −2/3 + 2/3 = 0.
(C) a rational number — 0 = 0/1, so it is rational.
(D) 3/7 — A number plus its additive inverse is 0: −3/7 + 3/7 = 0.
(D) 1/2 — Midpoint = (a + b)/2 = 1/2.
(A) 9/40 — Midpoint = (a + b)/2 = 9/40.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
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