Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A sum was put at simple interest at a certain rate for 4 years. Had it been put at 5% higher rate, it would have fetched ₹520 more. Find the sum.
₹2,200
₹2,600
₹2,400
₹2,000
Correct answer
₹2,200
What must be the total percentage change in the volume of a cuboid if its length and breadth are decreased by 10% and 20%, respectively, while its height is increased by 40%?
0.8% increase
0.8% decrease
1.8% increase
1.8% decrease
Correct answer
0.8% increase
Which of the following is a condition of divisibility of a number by six?
Sum of digits is divisible by 6
Last digit is 3 or 6
Sum of digits is divisible by 3 and last digit is even
Sum of digits is divisible by 3 and first digit is even
Correct answer
Sum of digits is divisible by 6
There is a large cone with a diameter of 14m and height of 12m. It is being filled with water at a rate of 2 m3 in every 20 seconds. How long will it take to fill the cone?
313 sec
6160 sec
616 sec
12320 sec
Correct answer
313 sec
A truck driver drove for 4 hours at 40 km/h. He drove for another 3 hours at 50 km/h after taking rest for 1 h. What was the driver's average speed, in km/h, during the whole journey?
40
38.75
39.25
36.50
Correct answer
40
The average of runs of a cricket player in 12 innings was 42. How many runs must he make in his next innings to increase his average of runs by 2?
64
68
72
78
Correct answer
64
₹4,800 is divided among Ram, Shyam and Mohan in the ratio of 3 : 4 : 5. Who gained most of the money and how much?
Shyam ₹2,500
Shyam ₹2,000
Mohan ₹2,000
Ram ₹2,200
Correct answer
Shyam ₹2,500
The marked price of an electronic weighing machine in a store is ₹1,220 and it is available at a discount of 15%. What is the price (in ₹) at which a customer can buy it from the store?
1,037
1,041
1,039
1,035
Correct answer
1,037
The profit earned after selling a bucket for ₹680 is the same as the loss incurred after selling the bucket for ₹532. The cost price (in ₹) of the bucket is:
606
612
618
610
Correct answer
606
In a 300 m race, A beats B by 22.5 m or 6 seconds. Which of the following options is equal to B's time over the course?
30 sec
300 sec
82 sec
80 sec
Correct answer
30 sec
A shopkeeper purchased an article for ₹7,200 and spent 9% of its cost on repairs. He sold it to Rajan for ₹8,100. What was the profit percentage on selling the article? (Rounded off to 2 decimal places)
2.91%
3.12%
3.21%
12.5%
Correct answer
2.91%
Prakash and Avinash can complete a work in 24 days. If Prakash alone can complete it in 48 days, then in how many days can Avinash alone complete the work?
36
48
40
24
Correct answer
36
The largest 4-digit number that is exactly divisible by 88 is:
9848
9988
8888
9768
Correct answer
9848
The volume of a cuboid is twice the volume of a cube. If the dimensions of the cuboid are 12 cm, 16 cm and 18 cm, then the total surface area of the cube is:
625 cm2
864 cm2
484 cm2
764 cm2
Correct answer
625 cm2
A boat covers a distance of 72 km downstream in 6 hours, while it takes 12 hours to cover the same distance upstream. What is the speed of the boat?
8 km/h
6 km/h
10 km/h
9 km/h
Correct answer
8 km/h
Rashid sells a book at a gain of 20%. If he had sold it at ₹34.51 more, he would have gained 37%. The cost price (in ₹) of the book is:
210
207
203
220
Correct answer
210
Find a single discount equivalent to the successive discount of 12%, 20%, 24%, and 32%. (Correct to two places of decimals).
43.41%
73.71%
63.71%
53.51%
Correct answer
43.41%
Which of the following numbers is divisible by 11?
908781
969331
701611
611571
Correct answer
908781
A chemistry laboratory requests for a 25% solution of ferrous sulphate. A supplier has 40 millilitres of 20% solution. How many millilitres of 40% solution should be added to make it a 25% solution (correct to two decimal places)?
16.40
15.20
13.33
14.30
Correct answer
16.40
A car covers the distance from Delhi to Gurugram at 60 km/h and returns at a uniform speed of 40 km/h. The average speed of the car during the whole journey is:
40 km/h
60 km/h
50 km/h
48 km/h
Correct answer
40 km/h
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.