Find real questions from previous competitive exam papers with answers and solutions.
Browse complete papersA triangle has sides 6 cm, 8 cm, and 10 cm. What type of triangle is this?
Acute
Obtuse
Right-angled
Equilateral
Correct answer
Acute
From a point P, a tangent is drawn to a circle with center O. The radius is 9 cm, and the distance from O to P is 15 cm. What is the length of the tangent?
44 cm
12 cm
40 cm
46 cm
Correct answer
44 cm
A solid cone is melted and recast into smaller cones of the same height but half the radius. How many smaller cones can be made?
2
4
6
8
Correct answer
2
A hemisphere and a cylinder have the same radius and height. The ratio of their volumes is:
2 : 7
2 : 3
8 : 5
1 : 2
Correct answer
2 : 7
If the volume of a rectangular parallelepiped is 240 cm3 and its base area is 30 cm2, what is its height?
6 cm
8 cm
10 cm
12 cm
Correct answer
6 cm
Simplify the following expression and identify its nature:
\( (5\sqrt{3} \times \sqrt{12}) / \sqrt{2} \)
\( 15\sqrt{2} \), irrational number
30, rational number
\( 10\sqrt{6} \), irrational number
18, rational number
Correct answer
\( 15\sqrt{2} \), irrational number
Rational numbers are a subset of:
Natural numbers
Integers
Real numbers
Whole numbers
Correct answer
Natural numbers
Riya drank 0.75 liters of water in the morning and \( 3\frac{1}{2} \) liter in the evening.
How much water did she drink in total?
4.00 liters
4.15 liters
4.25 liters
4.50 liters
Correct answer
4.00 liters
A runner completes 5(1/3) laps of a 400-meter track. Each lap takes 1.6 minutes. How many kilometres does the runner cover, and what is the total time taken?
2.13 km, 3.13 minutes
2.10 km, 8.5 minutes
2.14 km, 8.53 minutes
2.13 km, 8.5 minutes
Correct answer
2.13 km, 3.13 minutes
The square root of 169 is:
12
13
14
15
Correct answer
12