Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A and B can complete a piece of work in 25 days and 55 days, respectively. The total number of days (in whole number) to complete the work, if A and B both work together, is:
21
22
18
20
Correct answer
21
The percentage profit earned by selling an article for ₹1,910 is equal to the percentage loss incurred by selling the same article for ₹1,690. At what price (in ₹) should the article be sold to make a 12% profit?
2,016
2,106
2,610
2,160
Correct answer
2,016
What equal instalment of annual payment (in ₹) will discharge a debt that is due as ₹624 at the end of 5 years at 2% per annum simple interest?
150
120
180
240
Correct answer
150
Shweta spends 21% of her monthly salary on house rent, 14% on education, and 13% on entertainment, and still saves ₹5,408. What is her monthly salary (in ₹)?
9,150
12,400
10,400
14,000
Correct answer
9,150
In an election, the total number of valid votes cast was 3,75,000. Candidate A secured 48% of the valid votes, with the rest of the valid votes going to the winner, Candidate B. By how many valid votes did Candidate B win over Candidate A?
14,750
15,000
13,500
15,250
Correct answer
14,750
Three partners decided to start a business. They decided to donate 10% of the profit to a charity organisation and then the remaining profit would be shared among first, second and third partner in the ratio 1 : 2 : 2. The total profit received was ₹1,80,000. Find the share of the first partner.
₹32,400
₹31,800
₹33,200
₹29,600
Correct answer
₹32,400
From a container having pure milk, 40% is replaced by water and the process is repeated thrice. At the end of the third operation, the purity of milk is:
18.6%
23.4%
22.7%
21.6%
Correct answer
18.6%
Which of the following numbers is divisible by 4.
(i) 67920598
(ii) 618703592
(iii) 618703594
(iv) 67920590
(i)
(iii)
(iv)
(ii)
Correct answer
(i)
A shopkeeper offers 25% discount on all the toys. He offers a further discount of 5% on the reduced price to those customers who pay in cash. How much does a customer have to pay (in ₹) in cash for a toy of ₹510? (Correct to two decimal places)
360.38
250.65
363.38
146.25
Correct answer
360.38
Sandeep spends 32% of his annual income on food, 20% of the remaining income on travelling, and 35% of the remaining income on clothes, and still saves ₹70,720 per year. What is the annual income (in ₹) of Sandeep?
4,50,000
5,44,000
2,00,000
3,75,000
Correct answer
4,50,000
A goods train 350 m long passes through a tunnel of 1250 m in 80 seconds. What is the speed of the train?
64 km/h
78 km/h
56 km/h
72 km/h
Correct answer
64 km/h
How many cubes of length 50 cm can be accommodated in a container of 5 m in length, 2 m in width and 5 m in height?
400
500
450
250
Correct answer
400
An annual instalment of ₹3,500 will discharge a debt of ₹16,310 due in 4 years at y% simple interest per annum. What is the value of y? [
Note:
Instalments will be paid at the end of Year 1, Year 2, Year 3 and Year 4.
11.5
10.5
16.5
11
Correct answer
11.5
If the weight of A is 40 kg, weight of B is 54 kg and weight of C is 62 kg, then what is the average weight (in kg) of the three persons?
78
52
58
156
Correct answer
78
In an examination, there were two papers, A and B, and the maximum mark in each of the two papers was 10. However, the weights assigned to papers A and B were in the ratio 2 : 1, respectively. Riddhi scored 8 out of 10 in Paper B, and an overall 70% in the examination. How much did she score in Paper A out of 10?
5
6.5
6
5.5
Correct answer
5
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 13. What is the value of the divisor?
35
37
25
30
Correct answer
35
A store is running a scheme for offering a discount of 12% if the customer pays instantly, and a discount of 6% if purchased through credit card. The benefit of the scheme may be split on the amount of payment, however only one discount shall be given on one item. There is no discount on any other type of transaction. Ankur purchased a shirt from the store, whose marked price was ₹2,200, through credit card and paid instantly for the purchase of a coat marked at ₹7,500. What was the total amount (in ₹) billed?
8668
8814
8778
8568
Correct answer
8668
Two workers - Sagar and Manish - are working on a heavy machine to melt waste metal. Sagar can complete the work in 15 days while both workers on alternate basis can complete the work in 12 days. In how many days can Manish alone complete the work?
10
30
9
18
Correct answer
10
Two trains start at the same time from stations P and Q and travel towards each other at the speeds of 75 km/h and 100 km/h, respectively. When they meet, it is found that one train has travelled 50 km more than the other. The distance (in km) between two stations is:
300
350
375
325
Correct answer
300
The initial ratio of water and milk in a mixture of 84 litres is 2 : 5. What quantity of water (in litres) should be added to the mixture so that the resulting mixture has 50% of water?
16
32
36
18
Correct answer
16
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.