Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
In an election, A received 27% of the votes and B received 125,982 votes. 19% did not cast their votes. Find the number of votes received by A.
1,88,973
62,991
57,827
44,327
Correct answer
1,88,973
Two similar triangles of ΔXYZ and ΔLMN. If area of (ΔXYZ) = 16 cm2, area of (ΔLMN) = 25 cm2 and YZ = 2.4 cm, then the measure of MN is:
3 cm
1 cm
4 cm
2 cm
Correct answer
3 cm
The value of (42)2 + 4 × 4 ÷ 4 - 4 is:
40
42
43
44
Correct answer
40
A train covers a distance of 56 km in 35 minutes. Travelling at the same speed, in how many seconds will the train cover a distance of 720 metres?
32
27
30
24
Correct answer
32
Find the maximum value of (19 sin θ + 6 cot θ sin θ).
√(197)
√(397)
√(497)
√(297)
Correct answer
√(197)
Study the given table and answer the question that follows.
The table shows the number of students in various courses in various cities A, B, C, D and E in India during the academic year 2022-2023.
| City | MBA | Science | Engineering | Medicine | MCA | Total |
|---|---|---|---|---|---|---|
| A | 1200 | 2560 | 4520 | 1100 | 960 | 10340 |
| B | 1350 | 2650 | 5100 | 1050 | 850 | 11000 |
| C | 1250 | 2640 | 4580 | 1120 | 750 | 10340 |
| D | 1960 | 1250 | 3500 | 1850 | 1600 | 10160 |
| E | 1200 | 2100 | 3500 | 1960 | 1540 | 10300 |
| Total | 6960 | 11200 | 21200 | 7080 | 5700 |
What was the average number of students in Science course in the all the cities altogether during the academic year 2022-2023?
2220
2200
2250
2240
Correct answer
2220
In a ∆ABC, angle BAC = 30º and angle BCA = 60º. If AC = 13 cm and AB = 12 cm, then BC is equal to:
7 cm
5 cm
4 cm
6 cm
Correct answer
7 cm
The following bar graph shows the recruitment of employees in different years of a particular department.
The percentage increase in the recruitment of employees from 2017 to 2018 is:
150%
130%
100%
120%
Correct answer
150%
A man's speed in still water is 4 km/h more than the speed of the current. If the man takes a total of 10 h to cover 45 km downstream and 35 km upstream, then the speed of the man in still water is:
15 km/h
22 km/h
18 km/h
20 km/h
Correct answer
15 km/h
Find the surface area (in cm2) of a sphere of diameter 28 cm. (Use π = 22/7 )
1731
2856
1724
2464
Correct answer
1731
If tan θ = 7/24, then find the value of (cos2 θ - sin2 θ).
1
\(\frac{520}{625}\)
\(\frac{576}{550}\)
\(\frac{527}{625}\)
Correct answer
1
If \(\tan \theta=\frac{3}{10}\), then find the value of \(\frac{(1+\sin \theta)(1-\sin \theta)}{(1+\cos \theta)(1-\cos \theta)}\).
\(\frac{50}{3}\)
\(\frac{100}{7}\)
\(\frac{100}{9}\)
\(\frac{100}{3}\)
Correct answer
\(\frac{50}{3}\)
In a store, an item with marked price of Rs. 82,500 is available at a discounted price of Rs. 79,200. What is the percentage of discount given on that item?
1%
4%
2%
3%
Correct answer
1%
In alloys A and B, the ratio of lead to tin is 5 : 3 and 3 : 1, respectively. 80 kg of alloy A and 100 kg of alloy B are mixed together to form a new alloy. What is the amount of tin (in kg) in the new alloy?
90
55
81.3
68
Correct answer
90
Triangle DEF is an equilateral triangle with a side length of 12 cm. If point G is the mid point of side DE, what is the length (in cm) of side FG?
12
6√3
6
3√6
Correct answer
12
R reaches office from home in 30 minutes and comes back in 20 minutes. The distance to his office from home is 12.5 km. What is his average speed (in km/h) from home to office and then back home?
30
60
25
20
Correct answer
30
A dishonest dealer sells his goods at 20% loss on the cost price but uses a faulty weight that weighs 25% less. His profit or loss percentage (rounded off to 2 decimal places) is:
6.67%, profit
3.33%, profit
3.33%, loss
6.67%, loss
Correct answer
6.67%, profit
The following table shows the number of delivery partners (in thousands) who joined five different companies during six different years.
| Year | Companies | ||||
|---|---|---|---|---|---|
| Emazon | Clipkart | Twiggy | Tomato | Pyntra | |
| 2016 | 2.4 | 4.5 | 1.2 | 0.9 | 4.2 |
| 2017 | 1.8 | 5.4 | 1.5 | 1.2 | 5.6 |
| 2018 | 3.2 | 7.2 | 2.4 | 2.1 | 6.3 |
| 2019 | 3.9 | 5.6 | 2.8 | 2.7 | 6.5 |
| 2020 | 4.2 | 6.4 | 3.2 | 3.3 | 7.0 |
| 2021 | 5.0 | 7.2 | 3.6 | 3.6 | 7.2 |
If Emazon decides to give an average salary of a Rs. 21,000 to the delivery partners and allocates Rs. 13.44 crore for the same in 2022, find the percentage increase in the number of delivery partners from 2021 to 2022 .
20%
25%
28%
22.5%
Correct answer
20%
The population of a town increases 8% annually. If its present population is 1,42,560, what was the population one year ago?
1,33,000
1,34,000
1,31,000
1,32,000
Correct answer
1,33,000
The value of 5 + [6 + (3 + 5) ÷ 2] ÷ 2 is equal to:
8
12
10
14
Correct answer
8
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.