Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A product was bought for ₹ 500 and sold at a 15% loss.
What is the selling price?
₹415
₹420
₹430
₹425
Correct answer
₹415
A student buys 5 pencils for ₹25. How much will 8 pencils cost?
₹35
₹38
₹40
₹45
Correct answer
₹35
A creditor earns ₹ 264 as simple interest in 4 years at 11% per annum.
What amount did he lend?
₹500
₹550
₹600
₹650
Correct answer
₹500
A boat takes 2 hours to go 16 km downstream and 4 hours to return the same 16 km upstream.
What is the speed of the stream?
2 km/h
3 km/h
4 km/h
5 km/h
Correct answer
2 km/h
A can do a work in 12 days, B in 18 days, C in 36 days. If they work together for 3 days, then A leaves, how many more days will B and C take?
6 days
7 days
8 days
9 days
Correct answer
6 days
A large solid cone with a radius of 12 cm and a height of 10 cm is melted and recast into several smaller, identical cones, each with a radius of 3 cm and a height of 5 cm. How many small cones can be formed? (use π = 3.14)
34
32
56
48
Correct answer
34
A triangular roof has sides 9 m, 12 m, and 15 m . Find the altitude corresponding to the side of length 15 m .
9, 1 m
4.5 m
13.5 m
7.2 m
Correct answer
9, 1 m
The base of a right prism is a triangle with sides 12 cm, 16 cm, and 20 cm. If the height of the prism is 8 cm , find the volume of the prism.
348 cm3
988 cm3
678 cm3
768 cm3
Correct answer
348 cm3
The speed of a bus is 150% of the speed of a car. The car covers a distance of 600 km in 10 hours. How much distance will the bus cover in 4 hours?
360 km
780 km
165 km
245 km
Correct answer
360 km
A ring is formed between two concentric circles with outer radius R = 14 cm and inner radius r = 9 cm. Using π = 22/7, find the area of the ring.
139.2 cm2
451.5 cm2
361.42 cm2
341.5 cm2
Correct answer
139.2 cm2
The average of five consecutive odd numbers is 35.
What is the smallest of these numbers?
31
29
27
33
Correct answer
31
A wheel of radius 21 cm is rolled one complete round.
What distance does it cover?
(π = 22/7)
44 cm
21 cm
154 cm
132 cm
Correct answer
44 cm
What is the area of a circle with a diameter of 20 cm?
(π = 3.14)
100 cm2
78.5 cm2
314 cm2
125.6 cm2
Correct answer
100 cm2
An article is marked at Rs. 400. If sold at a 10% discount, what is the selling price ?
Rs. 350
Rs. 360
Rs. 365
Rs. 370
Correct answer
Rs. 350
The length of a circular race track is 440m. A runner takes 100 steps in one round.
What is the length of one step?
1.44 m
2.2 m
44 m
4.4 m
Correct answer
1.44 m
A cyclist travels 30 km in 2 hours.
How long will it take him to cover 75 km at the same speed?
4 hrs
4.5 hrs
5 hrs
5.5 hrs
Correct answer
4 hrs
A student scores 140 marks out of 200.
What percentage of marks did he score?
65%
68%
70%
72%
Correct answer
65%
A trader purchased goods for Rs. 1200 and sold them for Rs. 1440.
What is the profit percentage?
15%
18%
25%
20%
Correct answer
15%
An article was sold for Rs. 990 at a 10% loss.
What was its cost price?
Rs. 1050
Rs. 1080
Rs. 1100
Rs. 1120
Correct answer
Rs. 1050
A deposit grows to Rs. 650 in 2 years and to Rs. 700 in 3 years under simple interest.
What was the original principal?
Rs. 550
Rs. 560
Rs. 570
Rs. 580
Correct answer
Rs. 550
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.