Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A and B together can complete a railway sleeper alignment in 10 days. B alone can do it in 15 days.
In how many days can A alone complete the work?
20
25
30
40
Correct answer
20
A job can be done by 18 women in 10 days. After working for 4 days, 6 women leave.
How many more days will the remaining women take to finish the job?
6
9
8
7
Correct answer
6
A hollow spherical shell is made of a metal with a density of 6 g/cm³. If the internal and external radii of the shell are 8 cm and 9 cm respectively, find the weight of the shell in kilograms.
7.456 kg
5.656 kg
6.456 kg
5.456 kg
Correct answer
7.456 kg
If the length, breadth, and height of a rectangular parallelepiped are 5 cm, 4 cm, and 3 cm, its volume is:
60 cm³
12 cm³
45 cm³
20 cm³
Correct answer
60 cm³
The total number of edges in a rectangular parallelepiped is:
12
8
6
4
Correct answer
12
The area of the base of a rectangular parallelepiped is 30 cm², and its height is 10 cm. Find its volume.
200 cm³
250 cm³
300 cm³
350 cm³
Correct answer
200 cm³
The sum of the lengths of all edges of a cuboid is 64 cm. If its length is 8 cm and breadth is 4 cm, find the height.
4 cm
5 cm
6 cm
8 cm
Correct answer
4 cm
A sphere is inscribed in a cube. If the total surface area of the cube is 600 cm², what is the volume of the sphere?
500л/3cm³
100лcm³
1000л/3 cm³
250лcm³
Correct answer
500л/3cm³
A cone is cut by a plane parallel to its base, dividing it into two parts: an upper, smaller cone and a lower frustum. If the height of the upper, smaller cone is half the height of the original cone, what is the ratio of the volume of the upper cone to the volume of the lower frustum?
7:1
1:7
5:1
6:1
Correct answer
7:1
A right prism has a hexagonal base with an area of 80 cm² and a height of 12 cm. Find the lateral surface area.
480 cm²
500 cm²
520 cm²
400 cm²
Correct answer
480 cm²
The product of 5xy2z and 7xz2 is:
12xyz
35x²z³
32x²y²z³
35x²y²z³
Correct answer
12xyz
If we multiply (-6ab) and (11ab²c), then we get:
66a²b³c
-66a²b³c
-11a²b³c
-66abc
Correct answer
66a²b³c
Simplify: [2.1 + \(3\frac{1}{5}\)] ÷1.1
5
4.5
4.8
6
Correct answer
5
If the exterior angle of a regular polygon is equal to its interior angle, how many sides does the polygon have?
4
5
6
7
Correct answer
4
A cylindrical rod is 1.6 meters long. It is cut into pieces each 3/5 meter long. How many such full pieces can be made, and what length remains?
2 pieces, 2/5m left
2 pieces, 3/m left
3 pieces, 1/5m left
3 pieces, 2/5m left
Correct answer
2 pieces, 2/5m left
A polygon has a total of 35 diagonals. How many sides does the polygon have?
12
13
11
10
Correct answer
12
The number of sides of two regular polygons are in the ratio 4:3. If the difference between their exterior angles is 10°, find the number of sides in each polygon.
7,9
16, 18
12,9
14,8
Correct answer
7,9
A man walks at a speed of \(\sqrt{x}\) km/hr. After 2 hours, he has covered the same number of kilometers as the value of x. What is the value of x?
4
9
16
25
Correct answer
4
What is the area of a triangle with vertices at (1,2), (5,8), and (10,3)?
10 square units
15 square units
20 square units
25 square units
Correct answer
10 square units
An equilateral triangle has a side length of 24 cm. What is the radius of its circumcircle?
11.68 cm
13.28 cm
13.86 cm
14.22 cm
Correct answer
11.68 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.