Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The following pie chart shows the amounts of money spent under different heads by a household as percentages of the total money spent by the household on these 7 heads taken together.
If the total money spent on these 7 heads is ₹2,300, then what is the amount spent on E5 ?
₹483
₹253
₹391
₹299
Correct answer
₹483
A leaves station P at 8:00 a.m. and reaches station Q at 11:00 a.m. B leaves station Q at 9:00 a.m. and reaches station P at 11:00 a.m. At what time will they cross each other ?
10:00 a.m.
10:05 a.m.
9:48 a.m.
9:52 a.m.
Correct answer
10:00 a.m.
The following table shows the number of students of class 6, class 7, class 8, class 9 and class 10, in schools A, B and C.
| School | Class | ||||
|---|---|---|---|---|---|
| Class 6 | Class 7 | Class 8 | Class 9 | Class 10 | |
| School A | 25 | 45 | 35 | 55 | 80 |
| School B | 65 | 45 | 55 | 45 | 20 |
| School C | 35 | 65 | 40 | 25 | 30 |
What is the total number of students in class 9 and class 10, taken together, in school B ?
55
100
135
65
Correct answer
55
Two numbers are, respectively, 25% and 30% less than a third number. What is the ratio of the first two numbers, in the order mentioned in the previous statement ?
6 ∶ 5
5 ∶ 6
14 ∶ 15
15 ∶ 14
Correct answer
6 ∶ 5
The area of a square is 144 cm2. What is the length of each of its diagonals ?
\(14\sqrt 2 \) cm
\(6\sqrt 2 \) cm
\(12\sqrt 2 \) cm
12 cm
Correct answer
\(14\sqrt 2 \) cm
What is the simple interest on ₹4,840 at 6% per annum for 10 years?
₹6,840
₹8,462
₹2,904
₹3,540
Correct answer
₹6,840
What is the ratio of 84 pens to 108 pens?
6 ∶ 11
7 ∶ 12
5 ∶ 7
7 ∶ 9
Correct answer
6 ∶ 11
In the first 20 overs of a cricket game, the run rate was only 2.4 per over. What should the run rate in the remaining 30 overs be to reach a target of 308 runs? [Give your answer correct to one decimal place.]
5.8
7.2
6.4
8.7
Correct answer
5.8
Find the average of 12, 25, 15, 25 and 45.
12.4
22.4
25.4
24.4
Correct answer
12.4
On selling 15 balls for ₹450, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
₹23
₹54
₹45
₹32
Correct answer
₹23
The curved surface area of a right circular cone is 44 cm2. If the slant height of the cone is 7 cm, then find the radius of its base.[Use π = \(\frac {22}{7}\)]
2 cm
4 cm
3 cm
5 cm
Correct answer
2 cm
The average of nine numbers is 20. If two of these numbers are removed, then the average becomes 18. What is the sum of the two numbers that are removed?
56
58
54
52
Correct answer
56
The surface area of a sphere is 2464 cm2. Find the radius of the sphere. [Use π = \(\frac{22}{7}\)]
14 cm
28 cm
42 cm
40 cm
Correct answer
14 cm
There is 10% water in a 40-liter solution of milk and water. If 10 litres of water are added to this solution, then what percentage of the new solution will be water?
25%
20%
35%
28%
Correct answer
25%
If p ∶ q is 5 ∶ 6 and q ∶ r is 2 ∶ 5, than what is p ∶ q ∶ r?
15 ∶ 6 ∶ 5
5 ∶ 6 ∶ 5
5 ∶ 6 ∶ 15
5 ∶ 2 ∶ 6
Correct answer
15 ∶ 6 ∶ 5
A 200 m long train is running at a speed of 100 km/h. In how much time will it pass a man standing near the railway line?
10.4 sec
9.2 sec
7.2 sec
6.4 sec
Correct answer
10.4 sec
Find the second smallest number which, when divided by 81 or 63, leaves a remainder of 7 in each case.
1246
1141
1362
1137
Correct answer
1246
The ratio of the cost price and the selling price is 5 ∶ 3. What is the loss percentage?
35%
40%
25%
30%
Correct answer
35%
When we subtract a number from 11, we get 10% of that number. Find the number.
3.5
10
4.5
5.4
Correct answer
3.5
The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will by the length of the cuboid?
36 cm
56 cm
48 cm
42 cm
Correct answer
36 cm
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.