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 Ratio and Proportion, 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. Write the ratio 45 : 60 in its simplest form.
(A) 4 : 3
(B) 6 : 12
(C) 4 : 5
(D) 3 : 4
Q2. Divide ₹100 between Ravi and Sita in the ratio 2 : 3. How much does Sita get?
(A) ₹40
(B) ₹60
(C) ₹50
(D) ₹80
Q3. If 5 : 15 = 8 : x, find x.
(A) 29
(B) 8/3
(C) 18
(D) 24
Q4. The ages of two brothers are in the ratio 5 : 6. If the elder brother is 18 years old, how old is the younger one?
(A) 13 years
(B) 18 years
(C) 15 years
(D) 3 years
Q5. Write the ratio 12 : 18 in its simplest form.
(A) 3 : 2
(B) 4 : 9
(C) 2 : 3
(D) 3 : 4
Q6. Divide ₹500 between Ravi and Sita in the ratio 3 : 7. How much does Sita get?
(A) ₹350
(B) ₹150
(C) ₹250
(D) ₹400
Q7. If 3 : 12 = 5 : x, find x.
(A) 20
(B) 23
(C) 5/4
(D) 14
Q8. The ages of two brothers are in the ratio 3 : 5. If the elder brother is 20 years old, how old is the younger one?
(A) 17 years
(B) 12 years
(C) 16 years
(D) 8 years
Q9. Write the ratio 30 : 45 in its simplest form.
(A) 2 : 3
(B) 3 : 2
(C) 4 : 9
(D) 3 : 4
Q10. Divide ₹600 between Ravi and Sita in the ratio 3 : 7. How much does Sita get?
(A) ₹180
(B) ₹300
(C) ₹420
(D) ₹480
Answer Key with Explanations
(D) 3 : 4 — Divide both terms by their HCF 15: 3 : 4.
(B) ₹60 — Sita gets 3/5 × 100 = ₹60.
(D) 24 — Product of extremes = product of means: 5x = 15×8, so x = 24.
(C) 15 years — Each part = 18/6 = 3; younger = 5×3 = 15 years.
(C) 2 : 3 — Divide both terms by their HCF 6: 2 : 3.
(A) ₹350 — Sita gets 7/10 × 500 = ₹350.
(A) 20 — Product of extremes = product of means: 3x = 12×5, so x = 20.
(B) 12 years — Each part = 20/5 = 4; younger = 3×4 = 12 years.
(A) 2 : 3 — Divide both terms by their HCF 15: 2 : 3.
(C) ₹420 — Sita gets 7/10 × 600 = ₹420.
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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