Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A sum of Rs. 22,500 is invested at 4% per annum compound interest. What will be the amount after 2 years?
24,500
24,336
26,000
25,000
Correct answer
24,500
A sum of money at simple interest doubles in 6 years. It will become three times in:
14 years
15 years
13 years
12 years
Correct answer
14 years
The surface area of a cuboid is 236 cm² and its dimensions are 6 cm, 7 cm, and h cm. Find h.
5.85 cm
6.80 cm
7.50 cm
8 cm
Correct answer
5.85 cm
A solid sphere of radius 4 cm is carved into 27 smaller identical spheres. What is the radius of each smaller sphere?
4/3 cm
2/3 cm
1/3 cm
1cm
Correct answer
4/3 cm
If the total surface area of a solid hemisphere is 262cm², find its radius.
5.27 cm
6.28 cm
4.75 cm
3.96 cm
Correct answer
5.27 cm
What is the minimum number of cuts required to divide a cuboid into 12 equal cuboids?
3
4
5
6
Correct answer
3
A rectangular water tank measures 100 cm length, 50 cm width, and 30 cm height. If the tank is filled to 50% of its capacity, how much water (in liters) is in the tank?
50 liters
75 liters
100 liters
150 liters
Correct answer
50 liters
What is the smallest number that, when multiplied by 1.5, gives a whole number?
1
2
3
4
Correct answer
1
The slant height of a cone is augmented by 20%, while the base radius remains the same. What is the percentage increase in the curved surface area of the cone?
20%
24%
44%
36%
Correct answer
20%
What will be the value of K for which the system of equations 2x + 2y - 5 = 0 and 6x + ky + 7 = 0 has no solution?
2
3
4
6
Correct answer
2
x : y = 3:4 then (7x + 2y) : (7x - 2y) equal to?
20:11.
21:12
25:13
29:13
Correct answer
20:11.
A right circular cone is inscribed in a cube such that its base coincides with the base of the cube and vertex lies on the top face center. What fraction of the cube's volume does the cone occupy?
π/6
π/8
π/12
π/2
Correct answer
π/6
If 3/4 of a number is 0.6 more than 1/2 of it, find the number.
2.4
2
3
1.8
Correct answer
2.4
A regular right pyramid has a square base of side 8 cm and a height of 3 cm. Find its total surface area.
128 cm²
144 cm²
160 cm²
176 cm²
Correct answer
128 cm²
If the height of a regular right pyramid with a square base is increased by 20% and the side length of its base is decreased by 10%, what is the percentage change in its volume?
2.8% decrease
1.2% increase
2.8% increase
No change
Correct answer
2.8% decrease
1 A car runs 18.4 km using \(2\frac{1}{2}\) liters of petrol. What is the mileage in km per liter (rounded to 2 decimals)?
7.28
7.36
7.44
7.52
Correct answer
7.28
The ratio of an interior angle to its corresponding exterior angle in a regular polygon is 5:1. How many sides does the polygon have?
12
14
15
16
Correct answer
12
A student got \(33\frac{1}{3}\)% marks in an exam and failed by 20 marks. If he had got 50%, he would have passed by 10 marks. Find total marks.
180
150
200
240
Correct answer
180
A circle has a circumference of 44 cm. Find its radius.
6 cm
7 cm
5 cm
8 cm
Correct answer
6 cm
The perimeter of a semicircle with radius 14 cm is:
58 cm
64 cm
54 cm
72 cm
Correct answer
58 cm
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.