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 Unitary Method, 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. If 8 pens cost ₹120, how much will 10 pens cost?
(A) ₹165
(B) ₹1200
(C) ₹135
(D) ₹150
Q2. 10 workers can build a wall in 9 days. How many days will 6 workers take to build the same wall?
(A) 11 days
(B) 15 days
(C) 90 days
(D) 17 days
Q3. If 12 pens cost ₹288, how much will 10 pens cost?
(A) ₹240
(B) ₹264
(C) ₹2880
(D) ₹216
Q4. A car travels 240 km on 12 litres of petrol. How many litres will it need for 300 km?
(A) 17 litres
(B) 15 litres
(C) 15/2 litres
(D) 20 litres
Q5. If 6 pens cost ₹360, how much will 10 pens cost?
(A) ₹660
(B) ₹3600
(C) ₹540
(D) ₹600
Q6. A car travels 150 km on 10 litres of petrol. How many litres will it need for 600 km?
(A) 40 litres
(B) 42 litres
(C) 20 litres
(D) 15 litres
Q7. If 4 pens cost ₹60, how much will 10 pens cost?
(A) ₹165
(B) ₹150
(C) ₹600
(D) ₹135
Q8. 12 workers can build a wall in 5 days. How many days will 20 workers take to build the same wall?
(A) 7 days
(B) 60 days
(C) 5 days
(D) 3 days
Q9. A car travels 150 km on 10 litres of petrol. How many litres will it need for 300 km?
(A) 22 litres
(B) 10 litres
(C) 20 litres
(D) 15 litres
Q10. If 6 pens cost ₹144, how much will 3 pens cost?
(A) ₹96
(B) ₹432
(C) ₹72
(D) ₹48
Answer Key with Explanations
(D) ₹150 — Cost of 1 pen = ₹15; so 10 pens cost ₹150.
(B) 15 days — Total work = 10×9 = 90 worker-days; 90/6 = 15 days.
(A) ₹240 — Cost of 1 pen = ₹24; so 10 pens cost ₹240.
(B) 15 litres — Mileage = 20 km/litre; 300 ÷ 20 = 15 litres.
(D) ₹600 — Cost of 1 pen = ₹60; so 10 pens cost ₹600.
(A) 40 litres — Mileage = 15 km/litre; 600 ÷ 15 = 40 litres.
(B) ₹150 — Cost of 1 pen = ₹15; so 10 pens cost ₹150.
(D) 3 days — Total work = 12×5 = 60 worker-days; 60/20 = 3 days.
(C) 20 litres — Mileage = 15 km/litre; 300 ÷ 15 = 20 litres.
(C) ₹72 — Cost of 1 pen = ₹24; so 3 pens cost ₹72.
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.
Free AISSEE / RMS Mock Test
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