Find real questions from previous competitive exam papers with answers and solutions.
Browse complete papersA cylinder is half-filled with liquid. If radius doubles and height halves, what's the new filled depth percentage-wise?
25%
50%
75%
100%
Correct answer
25%
A composite solid is formed by placing a cone, which has a radius of 2 cm and a height of 6 cm, on top of a right circular cylinder. The cylinder's radius is twice that of the cone, and its height is also double that of the cone. What is the ratio of the volume of the cone to that of the cylinder?
1 :24
1 : 12
1 : 18
1 : 26
Correct answer
1 :24
The volume of a right prism is 600 cm3 and its base area is 30 cm2. Find its height.
10 cm
15 cm
20 cm
25 cm
Correct answer
10 cm
A triangular prism has side lengths of 5 cm, 6 cm, and 7 cm. If its height is 8 cm, what is the lateral surface area?
144 cm2
120 cm2
136 cm2
152 cm2
Correct answer
144 cm2
If the orthocenter and centroid coincide, the triangle must be:
Scalene
Right-angled
Equilateral
Isosceles
Correct answer
Scalene
If the radius of a sphere is increased by 30%, by what percentage does its surface area increase?
57%
58%
69%
67%
Correct answer
57%
If \(\rm \tanθ=\frac{3}{4}\), what is sec θ?
\(\frac{5}{4}\)
\(\frac{11}{5}\)
\(\frac{6}{5}\)
\(\frac{7}{4}\)
Correct answer
\(\frac{5}{4}\)
If \(\rm \sin A=\frac{3}{5}\) and \(\rm \cos B=\frac{4}{5}\), and both A, B in first quadrant, then sin(A + B) = ?
\(\frac{12}{25}\)
\(\frac{7}{10}\)
\(\frac{24}{25}\)
\(\frac{4}{25}\)
Correct answer
\(\frac{12}{25}\)
Find the equation of the line passing through (0,0) and (5,10)
y = 5x
y = 3x
y = 4x
y = 2x
Correct answer
y = 5x
If y = mx + c passes through (2, 5) and (4, 9), find m
4
2
3
5
Correct answer
4