List of practice Questions

The arithmetic mean of some numbers is 18 and their median is 16. Then what is the mode?
The Standard Deviation of 2, 4, 6, 8, 10 is
The mean deviation of 3, 4, 5, 6, 7 is
What is the Geometric Mean of 12, 30, and 75?
\[ \lim_{x \to \infty} 5 \left( 1 + \frac{4}{x} \right)^x = \]
If each exterior angle of a regular polygon is \( 36^\circ \), then the number of sides of the polygon is
If \( y = x(x - 1)(x - 2) \), then the derivative \( \frac{dy}{dx} \) is
What is the area, in square units, of the triangle formed by the points \( (3, 2), (3, -6) \) and \( (5, 2) \)?
The arithmetic mean of 7.6, 6.8, 5.4, 6.4, 7.2, (4)8, 6.6, and 5.8 is
The equation of the straight line passing through the points \( (1, -5) \) and \( (-2, 4) \) is
\[ \tan \left( -\frac{23}{3} \pi \right) = \]
If the angle of elevation of the top of a tower of height 100 meters from a point to its foot is \( \tan^{-1} \left( \frac{4}{5} \right) \), then what is the distance from the point to its foot in meters?
If \( A \) is a non-singular 3x3 matrix, then \( \left| 5A \right| \) is
A, B and C start a business with investments of Rs.6,000, Rs.7,000, and Rs.8,000 respectively. The profit at the end of the year is Rs.3,150. Then share of B in the profit is
The father is 7 times older than his son. After 5 years the sum of their ages would be 50 years. The son’s age at present is
\[ (1 + \sqrt{2})^4 + (1 - \sqrt{2})^4 \]
If \( x^4 - x^3 + 2x^2 + ax + b \) is exactly divisible by \( x^2 - 3x + 2 \), then \( (a, b) \) is
If \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), then
The solution set of \( x^2 + 6x < 91 \) is
The volumes of two cones of equal height are in the ratio \( 1849 : 961 \). What is the ratio of their radii?
If \( 8^{2x - 4} = 16^{x - 2} \), then \( x = \)
A sum becomes double in 8 years at simple interest. What is the rate percent per annum?
The distance between the lines \( 3x + 4y + 1 = 0 \) and \( 6x + 8y - 1 = 0 \) is
Three numbers in the ratio 2:3:4 have their sum 270. Then the L.C.M. is
If the area of a square field is 7200 sq. m, then the length of its diagonal in meters is