Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If A, B and C are three distinct prime numbers, then what is the highest common factor of A, B and C?
7
0
5
1
Correct answer
7
What is the value of p in the following equation?
64 - [16 + {23 - (12 + 10)}] = p
47
49
81
3
Correct answer
47
If the mean of two numbers is 12, and the difference between the two numbers is 6, find the two numbers.
2 and 22
14 and 10
15 and 9
3 and 24
Correct answer
2 and 22
The average of T1 and T2 is 15. The average of T3 and T4 is 35. What is the average of T1, T2, T3 and T4?
24
30
28
25
Correct answer
24
Tap A can fill an empty tank in 8 hours if no other tap is open, and tap B can empty the same tank, when filled, in 12 hours, when no other tap is open. Find the time taken to fill the same tank, when empty, if both the taps are opened together.
12 hours
16 hours
24 hours
36 hours
Correct answer
12 hours
Rs. 2,300 is to be divided among P, Q, R and S in such a way that the ratio of P ∶ Q ∶ R ∶ S is 2 ∶ 6 ∶ 9 ∶ 6, respectively.
What is the sum of the shares of P and S?
Rs. 1,100
Rs. 1,200
Rs. 800
Rs. 230
Correct answer
Rs. 1,100
Pia and Ria can complete a project together in 26 days. Pia alone can complete the project in 78 days. They start working together but Pia leaves after 12 days. In how many days can Ria complete the remaining work of the project?
21 days
24 days
25 days
13 days
Correct answer
21 days
The compound interest received on Rs. 18,000 for 2 years is Rs. 7,920, when the interest is compounded annually. What is the rate of interest per annum?
15%
12.5%
20%
25%
Correct answer
15%
A room is in the shape of a cuboid of dimensions 4 m, 2 m and 8 m. If a bag of grain occupies a space of 0.50 m3, then how many such bags can be stored in the room?
128 bags
144 bags
108 bags
118 bags
Correct answer
128 bags
A train completely crosses a bridge of length 80 m in 15 s. Find the length of the train if its speed is 72 km/h.
300 m
220 m
150 m
270 m
Correct answer
300 m
The selling price and the cost price of a cup are Rs. 576 and Rs. 800 respectively. What is the loss percentage?
22%
28%
24%
32%
Correct answer
22%
How many identical solid cubes, each having sides that are 3 cm long, can be formed by melting a solid cuboid, whose length, breadth and height are 9 cm, 12 cm and 15 cm, respectively?
50
120
60
90
Correct answer
50
If 8 : x :: x : 32, find the positive value of x.
20
16
4
12
Correct answer
20
The following pie chart shows the actual number of photographs shared by a person on each of 7 different social media platforms.
What is the difference between the central angles made by sector P5 and sector P1?
18°
10.8°
14.4°
21.6°
Correct answer
18°
The length of each side of a square is 16 cm. What is the area of the square?
112 cm2
176 cm2
128 cm2
256 cm2
Correct answer
112 cm2
A truck is running at a speed of 75 km/h. In 4 hours, how much distance will it cover?
280 km
300 km
240 km
320 km
Correct answer
280 km
The following table shows the total sale of cars of four companies from 2015 to 2018.
| YEAR/CAR | TATA | HYUNDAI | MAHINDRA | TOYOTA |
|---|---|---|---|---|
| 2015 | 465 | 472 | 486 | 482 |
| 2016 | 375 | 427 | 379 | 419 |
| 2017 | 246 | 357 | 236 | 523 |
| 2018 | 456 | 357 | 484 | 475 |
In which year was the total number of cars sold by these four companies taken together the maximum?
2015
2018
2017
2016
Correct answer
2015
The following graph shows the number of cars of different colours in a society.
What is the approximate percentage of white colour cars out of all cars in the society?
66.67%
33.33%
15%
25%
Correct answer
66.67%
An alloy contains 30 per cent aluminium. What quantity of alloy will have 300 gm of aluminium?
0.8 kg
1 kg
1.2 kg
0.6 kg
Correct answer
0.8 kg
The mean of five numbers is 45. If a sixth number is also included, the mean becomes 48. Find the sixth number.
73
63
43
53
Correct answer
73
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.