List of practice Questions

Which of the following numbers cannot be the probability of an event?
What is the probability of not getting an odd number in a throw of a die once?
The length, breadth, and height of a cuboid are 15 m, 6 m, and 5 m respectively. Then the lateral surface area of the cuboid is
How many cubes of side 4 cm can be formed from a cube of side 8 cm?
Three cubes of metal with edges 3 cm, 4 cm, and 5 cm respectively are melted to form a single cube. What is the lateral surface area of the new formed cube?
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is
The mean of the first ten consecutive odd numbers is:
The median of 15, 6, 16, 8, 22, 21, 9, 18, 25 is:
The mode of 0, 6, 5, 1, 6, 4, 3, 0, 2, 6 is:
The median and mode of a frequency distribution are 48:64 and 46:52 respectively. Then its mean is:
If the mean of five observations \(x\), \(x + 2\), \(x + 4\), \(x + 6\), and \(x + 8\) is 11, then the value of \(x\) is:
What is the probability of an impossible event?
If \( P(E) = 0.4 \), then the value of \( P(E') \) is:
In \( \triangle ABC \), \( \angle C = 90^\circ \), then \( \sin(A + B) = \)
sec\(^2 23^\circ\) - tan\(^2 23^\circ\) + 2 =
If \( x \cos \theta = 1 \) and \( \tan \theta = y \), then the value of \( x^2 - y^2 \) is
If \( \tan \theta = \frac{3}{4} \), then \( \sin \theta \) is
If \( \sqrt{\frac{1 + \cos A}{1 - \cos A}} \) is, then the correct option is:
From an external point \( P \), two tangents \( PA \) and \( PB \) are drawn to a circle. If \( PA = 6 \, \text{cm} \), then \( PB = \)
If two tangents drawn on a circle of radius 3 cm are inclined to each other at an angle of \( 60^\circ \), then the length of each tangent is
If \( \sin(20^\circ + \theta) = \cos 30^\circ \), then the value of \( \theta \) is
The ratio of the areas of two circles is \( x^2 : y^2 \). Then the ratio of their radii is
The area of a circle is \(49\pi\) square cm. Then its diameter is
The distance covered by a wheel of radius 14 cm in 5 revolutions is
If the area of a circle is equal to the area of a square, then the ratio of their perimeters is