Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The ratio of the present ages of Smithers and Homer is 3 ∶ 5. After 7 years, Homer's age will be 42 years. What will be Smithers' age after 8 years?
23 years
22 years
29 years
31 years
Correct answer
23 years
The volume of a wall whose height is six times its breadth and length is half its height, is 23958 cm3. What is the breadth of the wall?
21 cm
15 cm
11 cm
18 cm
Correct answer
21 cm
The cost price of a wine bottle is Rs. 660. If the wine bottle is sold at a loss of 20%, what is the nominal amount of loss incurred through its sale?
Rs. 112
Rs. 110
Rs. 106
Rs. 132
Correct answer
Rs. 112
The pie-chart below shows, in terms of the central angles of the sectors representing each group, the distribution of number of boys in six classes of a school in a village.
If 40% of the students studying in 3rd class like to play hockey, then the number of students studying in 3rd class who do NOT like to play hockey is:
180
144
216
120
Correct answer
180
At simple interest a certain sum amounts to Rs. 12,000 in 5 years and to Rs. 18,000 in 8 years. What is the rate of simple interest per annum on offer?
62.5%
150%
100%
12.5%
Correct answer
62.5%
What approximate value should come in the place of the question mark '?' in the following equation?
305.03 ÷ 61.09 × 11.47 = ?
57
47
12
63
Correct answer
57
The average weight of 6 girls is increased by 2.5 kg when one of the girls whose weight is 38 kg is replaced by a new girl. Find the weight of the new girl.
58 kg
53 kg
49 kg
46 kg
Correct answer
58 kg
Find the area of a trapezium whose parallel sides are of length 15 cm and 20 cm, respectively, and whose distance between the parallel sides is 12 cm.
280 cm2
210Â cm2
360Â cm2
120Â cm2
Correct answer
280 cm2
What is the largest number that can exactly divide 403 and 496?
62
93
13
31
Correct answer
62
Ravi sold a chair at a loss of 40%. The selling price of the chair is Rs. 900. What is the cost price of the chair?
Rs. 1,260
Rs. 1,500
Rs. 1,800
Rs. 1,660
Correct answer
Rs. 1,260
Two right circular cones of equal volumes have their heights in the ratio 4 ∶ 9. What is the ratio of the radii of their bases, the cones coming in the same order as that in which the ratio of their heights is given?
3 ∶ 2
9 ∶ 4
2 ∶ 3
4 ∶ 9
Correct answer
3 ∶ 2
If 60% of G =Â \(\frac{4}{5}\) of H, then G is approximately what percentage of H?
125%
115%
140%
133.33%
Correct answer
125%
The terms x - 1, x + 2, 3x + 5, and y are in proportion. Find the value of y if x = 5.
45
29
35
24
Correct answer
45
Krish can do a piece of work in 4 days, while Rishi can do the same work in 6 days. Both of them work together and get a total of Rs. 1,600. What is the share of Rishi?
Rs. 800
Rs. 640
Rs. 720
Rs. 580
Correct answer
Rs. 800
The average age of 24 students in a class is 15 years. When the teacher's age is included, the average increases by 1. What is the teacher's age (in years)?
50
45
55
40
Correct answer
50
Find the rate of simple interest per annum at which a sum of Rs. 1,200 will amount to Rs. 1,800 in 4 years.
15%
12.5%
14%
10%
Correct answer
15%
The value of {(0.51)3 + (0.49)3} ÷ {(0.51)2 - 0.2499 + (0.49)2} is:
2.9
1.00
1.57
3.31
Correct answer
2.9
The difference between the length and the breadth of a rectangle is 16 cm. If its perimeter is 188 cm, then what is its area?
2100 cm2
2145Â cm2
2050Â cm2
2375Â cm2
Correct answer
2100 cm2
The following bar graph shows the number of books sold from four different branches, B1, B2, B3 and B4, of a publishing house, in three consecutive years.
Calculate the total number of books sold from branch B3 during these three years.
1432
1378
1322
1783
Correct answer
1432
A survey was conducted among 3000 people to find the chain of cafes that was most popular. The following pie chart shows the distribution of the percentage of people according to the choice of their favourite cafe.
Find the ratio of the number of the people who selected the most popular among the given cafe chains as their favourite to the number of the people who selected the least popular among the given cafe chains as their favourite.
2 ∶ 1
1 ∶ 3
1 ∶ 2
3 ∶ 1
Correct answer
2 ∶ 1
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.