Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The sides of a triangle are in the ratio 5 ∶ 12 ∶ 13 and its perimeter is 90 cm. Find its area (in cm2).
150
270
30
60
Correct answer
150
The largest number of four digits that is exactly divisible by 17 and 36 is:
7956
9180
9792
8568
Correct answer
7956
If a truck moves at a constant speed of 30 km/h for 1 kilometre and 45 km/h for the next 1 kilometre. What is the average speed of the truck?
32 km/h
36 km/h
38 km/h
34 km/h
Correct answer
32 km/h
The value of 11 × 11 + 11 ÷ 11 - 11 × 11 + 11 + 11 × 11 - 11 - 11 × 11 is:
1
11
121
0
Correct answer
1
A tourist van travels the distance of 35 km from Dehradun to Mussoorie at an average speed of 36 km/h and returns at 60 km/h. What is the approximate average speed (in km/h) of the tourist van for the entire journey?
48
42
45
50
Correct answer
48
Find the LCM of 15, 24, 35 and 54.
5670
7560
7650
6570
Correct answer
5670
A man runs for 40 km. The time taken by him in the first 10 km is twice the time taken by him in the second 10 km. The time taken in the third 10 km is half of the time taken in the fourth 10 km, and the time taken in the fourth 10 km is equal to the time taken in the first 10 km. If his speed in the first 10 km is 40 km/h, then what is the average speed for 40 km?
50 Km/h
\(\frac{70}{3}\) Km/h
\(\frac{160}{3}\) Km/h
40 Km/h
Correct answer
50 Km/h
If the height of a cone is 7 cm and the diameter of the circular base is 12 cm, then its volume is (nearest to integer):
254 cm3
284 cm3
264 cm3
274 cm3
Correct answer
254 cm3
Study the given data and answer the question that follows.
The tables shows the number of candidates (in lakh) appearing in an entrance exam from four different cities and the ratio of candidates passing and failing in the same.
| City | A | B | C | Ꭰ |
|---|---|---|---|---|
| Number of candidates | 2.15 | 1.14 | 1.56 | 2.35 |
Ratio of candidates passing and failing within the city.
| City | Passing | Failing |
|---|---|---|
| A | 4 | 2 |
| B | 5 | 3 |
| C | 6 | 4 |
| D | 4 | 6 |
What is the number of failed candidates (in lakh) in city D?
1.70
1.25
1.85
1.41
Correct answer
1.70
If the hypotenuse of a right-angled triangle is 29 cm and the sum of the other two sides is 41 cm, then the difference between the other two sides is:
5 cm
1 cm
2 cm
10 cm
Correct answer
5 cm
The length and the breadth of the floor of a rectangular hall are 126 feet and 90 feet, respectively. What will be the area (in square feet) of each of the largest identical square tiles that can be used to tile this floor in a way that no part of the floor remains uncovered?
484
256
324
196
Correct answer
484
Study the given graph and answer the following question. Number of boys and girls students in each section.
The number of boy students in section B is approximately what percentage of the number of girl students in section E?
25%
55%
45%
15%
Correct answer
25%
If 60 litres of a milk solution has 40% milk in it, then how much milk should be added to make the milk 60% in the solution?
30 litres
25 litres
20 litres
35 litres
Correct answer
30 litres
A speedboat, whose speed in 20 km/h in still water, goes 35 km downstream and comes back in a total of 8 hours. What is the speed of the stream?
20 km/h
10 km/h
15 km/h
5 km/h
Correct answer
20 km/h
The speed of a boat in still water is 20 km/h, while the river is flowing at a speed of 8 km/h and the time taken to cover a certain distance upstream is 6 h more than the time taken to cover the same distance downstream. Find the distance.
120 km
336 km
126 km
125 km
Correct answer
120 km
What is the HCF of 12, 18 and 42?
123
12
6
60
Correct answer
123
Study the given pie-chart and answer the question that follows.
The pie - chart shows the expenditure of a family on different items and their savings throughout the year 2021.
If the total income of the family was ₹1,00,000, how much money (in ₹) was spent on the education of the children?
12,500
12,000
13,500
13,000
Correct answer
12,500
The average weight of 15 people increases by 3.2 kg when a new person comes in place of one of them weighing 52 kg. The weight of the new person is:
48 kg
96 kg
100 kg
52 kg
Correct answer
48 kg
What is the compound interest on a sum of ₹25,000 after three years at a rate of 12 percent per annum interest compounded yearly?
₹9,824.00
₹10,520.00
₹9,956.86
₹10,123.20
Correct answer
₹9,824.00
Find the area of a rhombus if the perimeter of the rhombus is 52 cm, and one of its diagonals is 10 cm long.
120 cm2
164 cm2
160 cm2
144 cm2
Correct answer
120 cm2
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.