Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A trader buys a bag for Rs. 200 and sells it for Rs. 250. What is the profit percentage?
20%
22%
24%
25%
Correct answer
20%
Aman bought goods for Rs. 1200 and sold them at a 15% loss. What was the selling price?
Rs. 990
Rs. 1000
Rs. 1015
Rs. 1020
Correct answer
Rs. 990
In a class, boys and girls are in the ratio 10 : 15. If there are 50 students in total, how many are girls?
25
30
35
40
Correct answer
25
A deposit grows so that the simple interest earned equals three times the principal at 15% per annum. After how many years does this happen?
12
15
14
20
Correct answer
12
A boat goes downstream at 20 km/h and upstream at 10 km/h. What is the speed of the boat in still water?
12 km/h
13 km/h
14 km/h
15 km/h
Correct answer
12 km/h
Length of each side of a rhombus is 25 cm and one of the diagonals is 48 cm. What is the area of the rhombus?
331 cm2
330 cm2
333 cm2
336 cm2
Correct answer
331 cm2
What is the square root of 1444?
38
42
39
41
Correct answer
38
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.
486 cm2
476 cm2
576 cm2
496 cm2
Correct answer
486 cm2
A right circular cone is such that its slant height (I) is VS times its radius (r). If the slant height is 5√5 cm, what is its height (h)?
10 cm
12 cm
16 cm
14 cm
Correct answer
10 cm
A rectangular water tank is 6 m long, 4 m wide, and 2 m deep. It is filled halfway with water. The water is then pumped into cylindrical drums, each with a radius of 0.6 Mm and a height of 1 m. How many cylindrical drums are needed to store the water? Round your answer to the nearest whole number. (Use π = 3.14).
24
22
26
20
Correct answer
24
The average of 7 numbers is 21. If one of the numbers is increased by 14, by how much does the average increase?
1
2
3
4
Correct answer
1
A student has an average of 60 marks across 5 subjects. What are the total marks obtained by the student in all subjects?
250
280
300
320
Correct answer
250
A clerk buys a dictionary marked at Rs. 300. The shopkeeper gives him a 10% discount. What is the selling price?
Rs. 260
Rs. 270
Rs. 280
Rs. 290
Correct answer
Rs. 260
An item is marked at Rs. 1200 but sold for Rs. 960. What is the discount percentage?
15%
18%
20%
25%
Correct answer
15%
The sum of the diameters of two circles is 40 cm. The ratio of their radii is 3 : 2. Find the difference between their radii.
2 cm
4 cm
6 cm
8 cm
Correct answer
2 cm
A circular park has a radius of 21 m. A path 3 m wide is constructed inside the park along the boundary. Find the area of the path. (π = 22/7)
= 132 m2
= 368 m2
= 462 m2
= 330 m2
Correct answer
= 132 m2
A sector of a circle encloses an area of 154 cm3. The radius is 14 cm. What is the length of the arc? (π = 22/7)
44 cm
22 cm
66 cm
54 cm
Correct answer
44 cm
Aman walks 10 km in 2 hours.
How long will he take to walk 25 km at the same pace?
5 hours
4.5 hours
4 hours
5.5 hours
Correct answer
5 hours
Two trains, 120 m and 180 m long, travel in opposite directions at 54 km/h and 36 km/h. How long will it take for them to cross each other completely?
12 s
15 s
18 s
20 s
Correct answer
12 s
An article costing Rs. 500 is sold with a Rs. 50 discount. What is the discount percentage?
8%
9%
12%
10%
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.