Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Arun bought an old computer and spent Rs. 110 on its repairs. He then sold it to Bhola at a profit of 20%. Bhola sold it to Chandan at a loss of 10%. Chandan finally sold it for Rs. 1,188 at a profit of 10%. How much did Arun buy the computer for?
Rs. 640
Rs. 1,050
Rs. 890
Rs. 750
Correct answer
Rs. 640
Two successive discounts of 20% and 30% are given while selling an article. What is the ratio of the marked price of the article to its selling price?
25 ∶ 14
21 ∶ 10
24 ∶ 13
27 ∶ 16
Correct answer
25 ∶ 14
The average of 21 consecutive natural numbers is 53. What is the value of the smallest of these 21 numbers?
43
44
41
42
Correct answer
43
A boat takes 16 minutes and 24 minutes to cover a certain distance downstream and upstream, respectively. If the speed of the boat in still water is 15 km/h, find the speed of the stream.
5 km/h
2 km/h
3 km/h
2.5 km/h
Correct answer
5 km/h
The ratio of the number of hens to the number of goats on farm A is 5 ∶ 3 and that on farm B is 5 ∶ 7. If the total number of pets in both farms is equal. What could be the ratio of the total number of hens to the total number of goats in farms A and B taken together?
3 ∶ 2
1 ∶ 2
25 ∶ 23
7 ∶ 11
Correct answer
3 ∶ 2
If A = 1300 and B = 1450, then B is approximately what percentage more than A?
7.14%
9.86%
11.54%
13.46%
Correct answer
7.14%
The following bar graph shows the number of students who like four different colours.
Find the difference between the number of students who like yellow and those who liked blue.
100
125
50
60
Correct answer
100
A goat is tied with a 10.5 m long-long rope to one corner of a plot which is in the shape of a equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on.
62.25 m2
53.5 m2
57.75 m2
51.75 m2
Correct answer
62.25 m2
Simplify the following expression.
25 - (4 ÷ 2) + 11.5 + 9.5
46
44
45
47
Correct answer
46
The population of a city in the year 2020 was 2,00,000. The rate of growth of population is 8% per annum. Find the population of that city in the year 2022.
2,33,280
2,29,484
2,21,785
2,12,890
Correct answer
2,33,280
A train running at the speed of \(\frac{140}{9}\) m/sec, crosses a pole in 27 sec. Find the length of the train.
320 m
120 m
420m
220 m
Correct answer
320 m
If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes of its previous volume.
4 times
3 times
6 times
8 times
Correct answer
4 times
A man bought a chair for Rs. 580. At what price should he sell the chair so as to gain 25%
Rs. 725
Rs. 1,080
Rs. 590
Rs. 820
Correct answer
Rs. 725
Select the number that will come in place of the question mark (?) in the following mathematical statement.
\(\frac{5}{9}\) of \(\frac{11}{14}\) of 42% of 540 = ?2 - 45
17
13
9
12
Correct answer
17
What is the compound interest on Rs. 24,000 for 2 years at the rate of 10% per annum, if interest is compounded annually?
Rs. 4,820
Rs. 5,280
Rs. 5, 040
Rs. 6,080
Correct answer
Rs. 4,820
A cube has sides that are 4 cm each, and the dimensions of a cuboid are 2 cm × 3 cm × 4 cm. Find the positive difference between the volume of the cube and that of the cuboid.
120 cm3
40 cm3
20 cm3
60 cm3
Correct answer
120 cm3
Find the LCM of the fractions \(\frac{2}{5} \), \( \frac{3}{7}\) and \( \frac{4}{9}\).
\( \frac{2}{315}\)
\( \frac{1}{315}\)
24
12
Correct answer
\( \frac{2}{315}\)
The average of 5 numbers, arranged in a row, is 309. The average of the first two of these numbers is 431 and the average of the last two of these numbers is 231.5. What is the value of the number at the center of the row?
52
321
108
220
Correct answer
52
P can do 1/2 of a work in 10 days and Q can do 1/5 of the same work in 4 days. In how many days can both finish the work, working together?
15 days
14 days
10 days
5 days
Correct answer
15 days
If the cost of 10 books is Rs. 250, then find cost of 15 books.
Rs. 215
Rs.115
Rs. 375
Rs. 125
Correct answer
Rs. 215
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.