EAPCET - Mathematics Mock Tests

The domain of f(x) = √(x − 3) is:

Maximize Z = 3x + 4y subject to x + y ≤ 8, 2x + y ≤ 12, x ≥ 0, y ≥ 0. The maximum value of Z is:

A committee of 5 members is to be formed from 6 men and 4 women. In how many ways can this be done if the committee must include at least 3 men and at least 1 woman?

The volume of a right circular cone with radius 7 cm and height 24 cm is (use π = 22/7):

The number of solutions of sin(x) + cos(x) = 1 in the interval [0, 2π] is:

The mean and variance of a binomial distribution are 4 and 2 respectively. Then p equals

The standard deviation of the data 2, 4, 6, 8, 10 is:

Rolle's theorem applies to f(x) = x² − 4x + 3 on the interval [1, 3]. The value of c guaranteed by the theorem is: