Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The rice sold by a grocer contained 20% of low-quality rice. What quantity of goodquality rice should be added to 175 kg of mixed rice so that the percentage of lowquality rice remains 10%?
175 kg
150 kg
100 kg
125 kg
Correct answer
175 kg
The radius of a cylinder is 7 feet. Find the total surface area of the cylinder if the height of the cylinder is 14 feet. (Use π = 22/7)
922 ft2
926 ft2
928 ft2
924 ft2
Correct answer
922 ft2
Ram, standing on a railway platform, noticed that a train took 36 seconds to completely pass through the platform, which was 108 m long, and it took 12 seconds in passing him. Find the speed of the train.
25.2 km/h
18.2 km/h
16.2 km/h
20.2 km/h
Correct answer
25.2 km/h
In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9,261 votes, which were 75% of the total valid votes. Find the total number of votes.
17,000
17,200
17,400
16,800
Correct answer
17,000
A man has to discharge a debt of ₹15,600 which is due in 3 years at 4% simple interest per annum. If he pays this amount in equal instalments of annual payment, find the amount for annual payment.
₹5,200
₹5,100
₹5,400
₹5,000
Correct answer
₹5,200
A chair is bought for ₹600 and sold for ₹750. Find the profit percentage.
20%
30%
25%
35%
Correct answer
20%
If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X + Y is:
3
8
9
5
Correct answer
3
Akshara scores 85% in five subjects together. The subjects are Hindi, Science, Mathematics, English and Computers, where the maximum marks of each subject are 100. Akshara scores 75 marks in Hindi, 92 marks in Computers, 89 marks in Mathematics, and 81 marks in English. How many marks did Akshara score in Science?
73
67
92
88
Correct answer
73
The average cost of a pencil is ₹8 and the average cost of an eraser is ₹4. The cost of 8 erasers, 4 pencils and 12 sharpeners are ₹148. The average cost of a sharpener is ₹____.
6.5
6
7
6.66
Correct answer
6.5
There are two types of rice. Type 1 rice costs ₹20 per kg and type 2 rice costs ₹25 per kg. Both the rice are mixed in the ratio 2 : 3. Find the cost (in ₹) of the mixed rice per kg.
23
23.50
22
22.50
Correct answer
23
The marked price of an item was ₹12,500. Two successive discounts of 12% each was offered on its sale. What was the selling price (in ₹) of the item?
9680
9500
9720
9620
Correct answer
9680
A packet has to consist of three types of jellies – orange, mango and strawberry. The price per unit of orange, mango and strawberry jelly is ₹2.00, ₹3.00 and ₹3.50, respectively. In a packet, there are 80 orange jellies, 50 mango jellies and 120 strawberry jellies. What is the average cost (in ₹) of a jelly in a mixed packet?
2.80
2.96
2.92
3.02
Correct answer
2.80
The difference between the cost price and the selling price of a table lamp is ₹540. If the profit is 30%, then the selling price (in ₹) is:
2,800
2,340
2,280
2,150
Correct answer
2,800
Shyam bought a chair for ₹1,563 and spent ₹350 on its repairing. He sold it for ₹2,398. Find his profit percentage (correct to two places of decimals).
42.35%
52.55%
25.35%
35.55%
Correct answer
42.35%
A policeman chases a thief. The speed of the policeman and thief are 18 km/h and 6 km/h, respectively. If the policeman started 10 minutes late, at what distance will he catch the thief?
1.0 km
1.5 km
2.0 km
2.5 km
Correct answer
1.0 km
The annual instalment (in ₹) to discharge a debt of ₹8,432 due in 4 years at 16% simple interest per annum is:
1,700
1,527
2,108
2,204
Correct answer
1,700
The marked price of a commodity was given as ₹425 per kg. After two successive discounts of 5% and y%, respectively, the retailer purchased it for ₹323 per kg. What was the value of y?
19
20
24
18
Correct answer
19
A policeman spots a thief from a distance of 100 metres. When he starts running after the thief, the thief starts running as well. How far will the thief have to run before being overtaken if his speed is 8 km/h and the policeman's speed is 10 km/h?
415 metres
400 metres
380 metres
430 metres
Correct answer
415 metres
Find the third proportional to 6 and 24.
12
96
24
15
Correct answer
12
If the volume of spheres are 27 : 8, then their ratio of surface areas is:
3 : 2
4 : 9
2 : 3
9 : 4
Correct answer
3 : 2
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.