Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Ishita can read a newspaper in 'n' minutes. What part of the newspaper can she read in 7 minutes? (n > 7)
\(\rm \frac{n}{7}\)
7n2
7n
\(\rm \frac{7}{n}\)
Correct answer
\(\rm \frac{n}{7}\)
There are two numbers such that the first number is four times of the second number. If their average is 65, then what is the second number?
26
14
24
28
Correct answer
26
Find the value of p, when p = (5 ÷ 6) of 54 - 40 ÷ 10 - 41 - 22
-11
-22
-18
-23
Correct answer
-11
The base of a triangle is 16 cm and its area is 144 cm2. Find its corresponding height, with respect to the given base.
18 cm
9 cm
24 cm
12 cm
Correct answer
18 cm
A train moves at a speed of 35 km/h for the first 2 hours and at a speed of 50 km/h for the next 4 hours. Find the average speed of the train during the entire journey.
47 km/h
50 km/h
45 km/h
35 km/h
Correct answer
47 km/h
The bar chart given below shows the exports (in Rs. 000) and imports (in rs. 000) of a country for 5 consecutive years.
What is the positive difference in the total export figures of all the five years taken together and the total import figures of all the five years taken together?
Rs. 6,20,000
Rs. 5,40,000
Rs. 5,80,000
Rs. 6,60,000
Correct answer
Rs. 6,20,000
The following pie chart shows the sectors representing the shares of the number of electric buses manufactured in each of 7 different colours in a given year in terms of the central angles (in degrees) with respect to the total number of buses manufactured during that year of all the 7 colours taken together.
What is the difference in the percentage shares of buses of C4 and C6? [Give your answer correct to 2 decimal places.]
11.11%
8.33%
9.09%
12.5%
Correct answer
11.11%
The selling price of two articles are equal. If the first article is sold at a profit of 20% and the second article is sold at a loss of 20%, what will be the overall loss percentage?
4%
3.5%
2.5%
2%
Correct answer
4%
The table below gives the ranks secured by five different students in three different subjects in a qualifying examination:
| Students | Subject | ||
|---|---|---|---|
| Maths | Physics | Chemistry | |
| A | 12 | 22 | 14 |
| B | 15 | 21 | 15 |
| C | 3 | 15 | 22 |
| D | 14 | 24 | 1 |
| E | 18 | 13 | 2 |
Find the positive difference between the ranks secured by A in Physics and in Maths.
25
10
15
20
Correct answer
25
Rachit invests Rs. 12,000 for a 2-year period at a certain rate of simple interest per annum. Prasad invests Rs. 12,000 for a 2-year period at the same rate of interest per annum as Rachit, but in Prasad's case the interest is compounded annually. Find the rate of interest per annum if Prasad receives Rs. 172.80 more as interest than Rachit at the end of the 2-year period.
10%
8%
12%
5%
Correct answer
10%
What is the value of \(\rm \frac{5}{{12}} \times \frac{7}{{12}} \div \left( {\frac{1}{{75}} + \frac{5}{{12}}\ of\ \frac{{36}}{{25}}} \right) + \frac{4}{5} \times \frac{{75}}{{16}}\)?
\(\frac{{8305}}{{1104}}\)
\(\frac{{4675}}{{1104}}\)
\(\frac{{2565}}{{2208}}\)
\(\frac{{9155}}{{2208}}\)
Correct answer
\(\frac{{8305}}{{1104}}\)
If the population of a town is 12,000 and the population increases at the rate of 10% per annum, then find the population after 3 years.
15,972
12,200
11,200
10,200
Correct answer
15,972
If 16 ∶ X ∶∶ X ∶ 196, find the positive value of x?
60
62
56
64
Correct answer
60
80 liters of a mixture of alcohol and water contains 60% alcohol. If 'X' liters of water is added to this mixture, then the percentage of alcohol in the new mixture becomes 40%. What is the value of 'X'?
20
80
40
60
Correct answer
20
The length, the breadth, and the height of a cuboid are 40 cm, 20 cm and 10 cm, respectively. What is the volume of this cuboid?
16000 cm3
8000 cm3
2000 cm3
4000 cm3
Correct answer
16000 cm3
Akshay has 30 articles, each having the same cost price. He marked the price of each article at 30% above its cost price. He sold 15 of the articles at a discount of 20% each, and the remaining 15 articles at a discount of 10% each, thereby gaining a total profit of Rs. 630. What was the cost price of each article?
Rs. 240
Rs. 180
Rs. 280
Rs. 200
Correct answer
Rs. 240
Bobby and Billy can complete a job in 28 days and 20 days, respectively. They work together for 5 days, after which Billy leaves the job. In how many days did Bobby alone complete the rest of the job?
15 days
20 days
12 days
16 days
Correct answer
15 days
What is the value of [7 ÷ 14 × 8 + (5 ÷ 15 × 6 - 4 × 3)]?
-4
-2
-6
-5
Correct answer
-4
The volume of a cone is 27720 cm3. If the height of the cone is 20 cm, then what will be the area of the base?
4158 cm2
4272 cm2
4626 cm2
4836 cm2
Correct answer
4158 cm2
In an office of 900 employees, on a particular day, except for 10% of the female employees, all employees were present. On the next day, except for 8% of the male employees, all employees were present. The number of employees present on each of these two days was the same. Find the total number of male employees on the payrolls of this office.
550
450
800
500
Correct answer
550
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.