Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The average weight of 4 persons is increased by 14 kg when one of them whose weight is 55 kg, is replaced by another person. What is the weight (in kg) of the new person?
111
85
56
98
Correct answer
111
Dixit covers a certain distance by car, driving at the speed of 28 km/h and he returns to the starting point riding on a scooter at the speed of 36 km/h. Find the average speed (in km/h) for the whole journey.
31.5
32.0
64.0
48.5
Correct answer
31.5
A person can paint a 2.5 ft2 of a wall in 5 minutes. How much ft2 of the wall will he paint in 6 hours?
120
160
140
180
Correct answer
120
The ratio of the cost price of an article to its selling price is 432 ∶ 612. The profit percentage (rounded off to 2 decimal places) on it is:
41.66%
40.25%
42.33%
38.26%
Correct answer
41.66%
Find the least value digit which is assigned to * so that the number 1972*471 is divisible by 9.
3
5
4
2
Correct answer
3
45% of Samita’s monthly income is equal to 63% of Anil’s monthly income. If Samita’s monthly income is ₹84,000, what is Anil’s monthly income (in ₹)?
59,400
61,500
58,500
60,000
Correct answer
59,400
A loan of ₹2,550 is to be paid back in two equal half-yearly instalments. How much is each instalment if the interest is compounded half-yearly at 8% p.a.?
₹1,258
₹1,352
₹1,745
₹1,457
Correct answer
₹1,258
Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 3 : 7 and in the second it is 7 : 9. Now both the mixtures are mixed in a bigger container. What is the resulting ratio of milk to water?
59 : 101
57 : 107
61 : 97
58 : 103
Correct answer
59 : 101
If a certain sum of money at 5% per annum simple interest amounts to Rs. 810 in \(2\frac{1}{2}\) years, then the certain sum is:
₹740
₹750
₹720
₹730
Correct answer
₹740
The lateral surface area of a cylinder is 3862.2 cm2 and its height is 15 cm. Find its volume (take π = 3.14)correct to one decimal place.
79175.1 cm3
88275.2 cm3
78275.2 cm3
89175.1 cm3
Correct answer
79175.1 cm3
A car covers a distance of 45.6 km in 2.4 litres of petrol. How much distance will it cover in 1 litre of petrol?
19 km
20 km
19.4 km
109.44 km
Correct answer
19 km
A man can row 9 km/h in still water. If the river is running at 4 km/h, it takes 8 hours more in upstream than to go downstream for the same distance. How far is the place?
65 km
60 km
75 km
55 km
Correct answer
65 km
An amusement park gives an offer to its customers that one person will be given free entry with four other people. What is the effective percentage discount given by the amusement park?
14%
18%
20%
16%
Correct answer
14%
S varies directly as (R + 7), and S = 42 when R = 17. What is the value of S when R = 29?
51
63
58
66
Correct answer
51
Sachin purchases a watch from a dealer at some price and sells it at 20% profit. The next day he purchases the same watch and marks up the price by 75% and offers a discount of 30%. What is the profit percentage that Sachin receives on day 2?
20%
22.5%
17%
12.5%
Correct answer
20%
The diagonal of a cubical block of wood is 192 cm. Find its volume.
786432√3 cm3
766432√3 cm3
776432√3 cm3
796432√3 cm3
Correct answer
786432√3 cm3
A train covers 40 km between two stations in 45 minutes. It covers another 30 km in 30 minutes and the remaining 20 km in 15 minutes. Find the average speed of the train in the whole journey.
40 km/h
60 km/h
50 km/h
45 km/h
Correct answer
40 km/h
A shopkeeper charges his customer 23% more than the cost price. If a customer paid ₹30,135 for a dining table, then find its original price (in ₹).
24,000
24,500
28,200
23,300
Correct answer
24,000
A and B invested money in a business in the ratio of 2 : 3. If 10% of the total profit goes to charity and A’s share in the profit is ₹4,500, then what is the total profit?
₹13,000
₹12,500
₹12,000
₹13,500
Correct answer
₹13,000
The length of cold storage of cuboidal shape is double its breadth and its height is half of its breadth. If its volume is 216 m3 , then what are the dimensions of the cold storage?
12 m × 6 m × 3 m
12 m × 9 m × 5 m
14 m × 7 m × 5 m
8 m × 4 m × 2 m
Correct answer
12 m × 6 m × 3 m
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.