Pre scholarship Mock Test

A man can do a work in 10 days. With the help of a boy he can do the same work in 6 days. If they get Rs 50 for the work, what is the share of the boy?

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

The area of an equilateral triangle that has an altitude of length 48 units is

A water tank has the dimensions of A pipe of radius is connected to it. If water is flowing through the pipe at the rate of , then the tank will be completely filled by the pipe in _____.

Calculate the amount received on Rs. 8200 for 2 years at 10% Per annum, compounded yearly.

Given ‘A’ and ‘B’ are 2 distinct number such that A² = 2002 + B and B² = 2002 + A . the value of AB is -

The number of different 4 × 4 symmetric matrices with each element being either 0 or 1 is ________.

Given a function f( x ,y) = 5x² – 4xy + 2y² + 4x – 4y + 10 ,the optimum value of f(x, y) is

Consider matrix , then determinant of Adj (Adj A) is _________.

Sand is pouring from a pipe at the rate of 12 cm³/sec. The falling sand from a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4cm?