Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A hollow cylinder has outer radius 7 cm, inner radius 5 cm, and height 10 cm. Find volume of material.
776.81 cm³
753.98 cm³
767.25 cm³
721.11 cm³
Correct answer
776.81 cm³
A right prism is built on a triangular base with side lengths measuring 13cm, 14cm, and 15 cm. If the vertical height of the prism is 12 cm, what is the lateral surface area?
504 cm²
5040 cm²
492 cm²
432 cm²
Correct answer
504 cm²
A rectangular garden measures 50 meters in length and 30 meters in width. If fencing costs 200 per meter, what is the total cost to fence the entire perimeter of this garden?
₹10,000
₹32,000
₹16,000
₹18,000
Correct answer
₹10,000
A and B together can do a piece of work in 20 days. A worked for 15 days and left the work, then B finished the remaining work alone in 42 days. In how many days could B finish the whole work alone?
80
90
108
99
Correct answer
80
The chords AB and CD of a circle are equidistant from the center of the circle. If the length of the chord AB = 12 cm. What is the length of the chord CD?
4 cm
6 cm
8 cm
12 cm
Correct answer
4 cm
Given that the curved surface area of a hemisphere is 2772 cm², determine the radius of the hemisphere
21 cm
31 cm
41 cm
20 cm
Correct answer
21 cm
In triangle ABC, if the coordinates of the centroid are (3,4), and two vertices are (1,2) and (5,6), find the third vertex.
(3,4)
(2,3)
(4,5)
(3,5)
Correct answer
(3,4)
A cone is cut parallel to its base such that the upper part is 1/3 of the original height. Find the ratio of volumes of the smaller cone to the original.
1:27
1:9
1:8
1:3
Correct answer
1:27
In isosceles triangle ABC, where sides AB and AC are equal, the exterior angle at vertex B measures 130°. What is the measure of angle A?
50°
65°
80°
130°
Correct answer
50°
In a circle with center O, a chord AB is drawn such that a tangent at A makes an angle of 30" with chord AB. Find ∠AOB.
60°
90°
120°
30°
Correct answer
60°
Which of the following is an indirect tax?
Income Tax
Corporation Tax
Excise Duty
Wealth Tax
Correct answer
Income Tax
If Roshan lent Rs. 6,000 at 9% per annum compound interest, what will be the amount needs to pay after 2 years?
7,528.60
7,428.60
7,128.60
7,228.60
Correct answer
7,528.60
A sum of money amounts to Rs. 800 in 3 years and to Rs. 920 in 4 years at some rate of simple interest. The sum is how much?
400
440
350
380
Correct answer
400
Which of these number sets is NOT a subset of real numbers?
Integers
Natural Numbers
Whole Numbers
Complex Numbers
Correct answer
Integers
A rectangular parallelepiped is made by joining two cubes of side 6 cm along one face. Find its surface area.
432 cm2
360 cm2
576 cm2
648 cm2
Correct answer
432 cm2
If the radii of two spheres have a ratio of 4 ∶ 3, What is the ratio of their surface areas?
2 ∶ 3
8 ∶ 27
16 ∶ 9
4 ∶ 9
Correct answer
2 ∶ 3
A cylinder has a radius R and a height 2R. A hemisphere has a radius R. What is the ratio of their volumes (Cylinder ∶ Hemisphere)?
3 ∶ 1
5 ∶ 1
6 ∶ 1
4 ∶ 1
Correct answer
3 ∶ 1
The dimensions of a rectangular parallelepiped are in the proportion of 3 ∶ 4 ∶ 5. If its volume is 480cm3, what is its largest dimension?
6 cm
8 cm
10 cm
12 cm
Correct answer
6 cm
A box with dimensions 15 cm × 12 cm × 10 cm is completely filled with cubes of side 1 cm. How many cubes are used?
1800
1500
1600
1700
Correct answer
1800
The height of a cone is 30 cm. It is cut by a plane at height 10 cm from the base. What percent of the cone's volume lies above the cut?
11.10%
29.63%
18.50%
22.20%
Correct answer
11.10%
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.