Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The ratio of the length to the width of a rectangle is 3 ∶ 2. If the length of this rectangle is increased by 25% and its width is kept constant, then the area of the rectangle increases by 24 m2. What is the width of this rectangle?
12 m
10 m
8 m
15 m
Correct answer
12 m
Simplify the following expression.
12 + 11 - 13 + (4 + 3)
17
16
18
15
Correct answer
17
If Δ ABC is similar to Δ DEF such that BC = 3 cm, EF = 4 cm and the area of Δ ABC = 54 cm2, then the area of Δ DEF is:
78 cm2
96 cm2
66 cm2
44 cm2
Correct answer
78 cm2
At a certain rate of interest per annum, compounded annually, a certain sum of money amounts to two times of itself in 11 years. In how many years will the sum of money amount to four times of itself at the previous rate of interest per annum, also compounded annually?
20 years
5.5 years
22 years
33 years
Correct answer
20 years
The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
| Colour | Total toys | Percentage of cars |
|---|---|---|
| C1 | 500 | 12 |
| C2 | 600 | 15 |
| C3 | 400 | 12.5 |
| C4 | 550 | 10 |
| C5 | 650 | 20 |
| C6 | 450 | 10 |
What is the total number of car toys of C2 and C3 taken together?
150
160
140
130
Correct answer
150
The speed of a superfast train, T1 is 20% more than the speed of another superfast train T2. Both the trains start from point N at the same time and reach point M at the same time. N and M are 500 km apart. T1 stops for 10 minutes on the way to M, but T2 covers the distance without any stops entire route. What is the speed of T1?
600 km/h
500 km/h
650 km/h
550 km/h
Correct answer
600 km/h
A and B together can finish a work in 20 days. If they worked together for 8 days, then what was the share of work that was yet to be completed?
\(\frac{3}{5}\)
\( \frac{4}{5}\)
\(\frac{2}{5}\)
\(\frac{1}{5}\)
Correct answer
\(\frac{3}{5}\)
The difference between 73% of a number and 45% of the same number is 112. Find the number.
450
400
500
550
Correct answer
450
By selling an article for ₹600, a person made a profit of 50%. What was the cost price of this article?
₹300
₹450
₹400
₹350
Correct answer
₹300
A certain sum of money amounts to \(\frac{3}{2}\) of itself in 2 years applying simple interest. Find the rate of simple interest per annum.
25%
15%
16%
26%
Correct answer
25%
The marked price of a cap is ₹2,000. Two successive discounts of 15% and x% are given. If the selling price is ₹1,275 , then what is the value of x?
20%
22.5%
27.5%
25%
Correct answer
20%
The average age of 9 girls is 16 years. The average age of 11 boys is 26 years. What is the average age of all these boys and girls taken together?
22 years
23 years
22.5 years
21.5 years
Correct answer
22 years
The ratio of the number of boys to the number of girls in a class is 2 ∶ 5. If 10 boys leave the class and 20 new girls join the class, then the new ratio of boys and girls in the class becomes 4 ∶ 25. What is the number of boys in the class now?
12
8
9
22
Correct answer
12
The given pie chart represents the distribution of the percentage of sales of a particular brand of a bike from five showrooms, A, B, C, D and E during 2021.
What is the central angle of the sector corresponding to the sales from showroom B?
56.7 °
52.8 °
79.2 °
72 .6 °
Correct answer
56.7 °
The difference between the compound interest and the simple interest on an amount of ₹1,500 for 2 years, at a given rate of interest per annum, is ₹60. What is the rate of interest per annum, if in the case of compound interest, the interest is compounded annually?
20%
15%
25%
12.5%
Correct answer
20%
Anand wanted to sell a watch at a 10% profit, but he actually sold at a 10% loss for ₹360. At what price did he want to sell it to earn the profit?
₹360
₹400
₹340
₹440
Correct answer
₹360
Shreya hikes up a hill at 5 mph and comes down at 7 mph. If the total time taken for the two-way journey is 3 hours, what is the distance between the hilltop and the foothill?
8.75 miles
8 miles
9 miles
6.75 miles
Correct answer
8.75 miles
In what ratio must a supplier mix two varieties of pulses costing ₹10 per kg and ₹30 per kg, respectively, so as to get a mixture worth ₹15 per kg?
3 ∶ 1
4 ∶ 5
2 ∶ 3
1 ∶ 2
Correct answer
3 ∶ 1
The average age of 30 employees in an organisation is 25 years. If 2 new employees with an average age of 41 year join the organisation, then find the new average age of all the employees in the organisation.
26 years
25 years
23 years
24 years
Correct answer
26 years
The highest common factor and the least common multiple of two numbers are 12 and 120, respectively. If one of the numbers is 60, then what will be the other number?
12
18
20
24
Correct answer
12
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.