If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the pole is 60°. The height of the pole (in metres) is equal to

If sin \(\theta \) = cos \(\theta \), then 2 tan² \(\theta \) + sin² \(\theta \) -1 is equal to 

The value of (1³ + 2³ + 3³ +...+15³) - (1 + 2 + 3 +...+ 15)is 

If 6 times of 6^th term of an A.P. is equal to 7 times the 7^th term, then the 13^th term of the A.P. is

The sum of the exponents of the prime factors in the prime factorization of 1729 is

(2, 1) is the point of intersection of two lines.

A straight line has equation 8y = 4x + 21. Which of the following is true

The slope of the line which is perpendicular to a line joining the points (0, 0) and (– 8, 8) is

The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

In the adjacent figure \(\angle BAC\) = 90^o and AD\(\bot \)BC then 

The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is

In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is

If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is

If g = {(1,1), (2,3), (3,5), (4,7)} is a function given by g(x) = αx + β then the values of α and β are

If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

If A = \(\left( \begin{matrix} 1 & 2 & 3 \\ 3 & 2 & 1 \end{matrix} \right) \), B = \(\left( \begin{matrix} 1 & 0 \\ 2 & -1 \\ 0 & 2 \end{matrix} \right) \) and C = \(\left( \begin{matrix} 0 & 1 \\ -2 & 5 \end{matrix} \right) \), Which of the following statements are correct?
(i) AB + C =  \(\left( \begin{matrix} 5 & 5 \\ 5 & 5 \end{matrix} \right) \)
(ii) BC = \(\left( \begin{matrix} 0 & 1 \\ 2 & -3 \\ -4 & 10 \end{matrix} \right) \)
(iii) BA + C = \(\left( \begin{matrix} 2 & 5 \\ 3 & 0 \end{matrix} \right) \)
(iv) (AB)C = \(\left( \begin{matrix} -8 & 20 \\ -8 & 13 \end{matrix} \right) \) 

The number of points of intersection of the quadratic polynomial x² + 4x + 4 with the X axis is

The solution of (2x - 1)² = 9 is equal to

\(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is