Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The given bar graph shows the strength of employees (in lakhs) of a company during four different years.
What was the percentage increase in employees in 2020 over 2019?
\( 6 \frac{1}{4} % \)
\( 6 \frac{3}{4} % \)
\( 5 \frac{1}{4} % \)
\(4 \frac{3}{4} %\)
Correct answer
\( 6 \frac{1}{4} % \)
Study the given table and answer the question that follows.
Percentage of marks obtained by 5 students in different subjects
| Subjects → | History 250 | Maths 200 | Economics 250 | Hindi 150 | English 150 |
|---|---|---|---|---|---|
| Students ↓ | |||||
| Vikas | 60 | 80 | 90 | 60 | 95 |
| Shyam | 90 | 70 | 80 | 70 | 40 |
| Sohan | 70 | 90 | 95 | 80 | 75 |
| Mohan | 80 | 60 | 70 | 95 | 80 |
| Mohit | 90 | 50 | 85 | 85 | 80 |
The marks obtained by Sohan in maths are _______ than that obtained by Shyam in maths.
40 more
30 less
40 less
30 more
Correct answer
40 more
A 320 m long train completely crosses a 240 m long train, coming from the opposite direction, in y seconds. If the first train is travelling at the speed of 44 km/h and the second train is travelling at 56.8 km/h, then what is the value of y?
18
22
21
20
Correct answer
18
A is 25% more than B and B is 30% less than C. If C is 20% more than D, then by what percentage is A more than D?
5%
3%
6%
2%
Correct answer
5%
Simplify:
\(\left[\left(7 \frac{1}{4}\right)^2-\left(5 \frac{4}{5}\right)^2\right] \div 5 \frac{4}{5} \times \frac{16}{9}\)
9.3
7.4
5.8
3.1
Correct answer
9.3
Akash and Vikash can complete a work in 40 days and 60 days, respectively. In how many days will the entire work be completed if they work on alternate days, starting with Akash?
52
50
48
42
Correct answer
52
The following table shows the marks of a student in 5 tests in the subjects Maths, Physics, and Chemistry (out of 100 for each subject). Study the table and answer the question that follows.
| Tests | Maths | Physics | Chemistry |
|---|---|---|---|
| 1 | 80 | 69 | 91 |
| 2 | 94 | 79 | 85 |
| 3 | 88 | 81 | 95 |
| 4 | 92 | 76 | 90 |
| 5 | 96 | 90 | 84 |
The ratio of the average marks obtained by the student in test 2 to the average marks he got in Maths in all tests, is:
21 ∶ 25
4 ∶ 7
4 ∶ 3
43 ∶ 45
Correct answer
21 ∶ 25
The distance between the centres of the two circles, with radii 3 cm and 2 cm, respectively, is 13 cm. The length (in cm) of a transverse common tangent is:
18 cm
9 cm
16 cm
12 cm
Correct answer
18 cm
Sita takes a loan of Rs. 35,000 at an interest rate of 10% compound interest, compounded annually. She agrees to pay two equal instalments in 2 years, one instalment at the end of each year. Find the value of each instalment.(Round off to the nearest integer)
Rs. 10,167
Rs. 30,167
Rs. 20,167
Rs. 40,167
Correct answer
Rs. 10,167
A cone of slant height 4.2 units has a lateral surface area 13.2 units2. The radius of the base is:
2 units
1.5 units
2.5 units
1 unit
Correct answer
2 units
If m × 7 + 4 - 6 ÷ 3 - 7 + 45 ÷ 5 × 4 + 49 = 87, then the value of m is:
0
14
1
7
Correct answer
0
The value of \(\left(2 \frac{1}{2}+1 \frac{3}{4}-\frac{1}{6}\right) \times 16 \div 49\) is:
\( \frac{4}{7}\)
\(\frac{3}{9} \)
\( 1 \frac{1}{3} \)
\(2 \frac{3}{4}\)
Correct answer
\( \frac{4}{7}\)
Find the value of the following expression. 2 × 8 ÷ 4 - 5 of 3 + 6 ÷ 3 × 2 - 6 of 3 + 5
-20
20
-15
15
Correct answer
-20
Two trains, 140 m and 120 m in length, are running in the same direction at the speed of 60 km/h and 78 km/h, respectively. In how much time will they completely cross each other?
58 seconds
65 seconds
48 seconds
52 seconds
Correct answer
58 seconds
Determine the value of the product (4a + 3b) (16a2 - 12ab + 9b2) for a = 2 and b = 3.
1141
1231
1241
1131
Correct answer
1141
In triangle ABC, AB = AC and ∠A = 70º. Find the value of ∠C.
75º
65º
45º
55º
Correct answer
75º
In the following table, the achievement of 10 boys and 10 girls in Math has been given. Study the table and select the correct statement.
| Boys | Girls |
|---|---|
| 56 | 35 |
| 75 | 88 |
| 34 | 95 |
| 49 | 99 |
| 89 | 67 |
| 99 | 82 |
| 94 | 97 |
| 59 | 63 |
| 82 | 79 |
| 79 | 81 |
The average achievement of the boys and girls is same.
The given data is insufficient to draw any meaningful conclusion.
The average achievement of the girls is more than that of the boys.
The average achievement of the boys is more than that of the girls.
Correct answer
The average achievement of the boys and girls is same.
A woman working in a company was supplied a rectangular solid (cuboid shape) of wax with dimensions 70 cm , 44 cm and 20 cm to prepare cylindrical candles, each 14 cm in diameter and 20 cm of height. Find the number of candles.
20
15
10
30
Correct answer
20
The breadth of a room is twice its height and half its length. The volume of the room is 1728 m3. The length of the room is:
28 m
20 m
34 m
24 m
Correct answer
28 m
The cost price of two articles is equal. One article is sold at a profit of 12% and the other article for Rs. 3,600 more than the first. If the net profit is \(15 \frac{27} {51} \) %, then what is the cost price of each article?
Rs. 50,990
Rs. 50,000
Rs. 51,000
Rs. 52,150
Correct answer
Rs. 50,990
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.