MHT CET Mathematics 2025 Most Expected Questions

Serial Number

Questions

1.

The equation x³ + x – 1 = 0 has

2.

If x, y, z are in A.P. and tan^-1 x, tan^-1 y and tan^-1 z are also in A.P., then

3.

The value of ¹⁰C_r/ ¹¹C_r, when both the numerator and denominator are at their greatest values, is

4.

If in a regular polygon, the number of diagonals are 54, then the number of sides of the polygon are

5.

Two dice are rolled. If both dice have six faces numbered 1, 2, 3, 5, 7, 11, then the probability that the sum of the numbers on uppermost face is prime, is

6.

There are 6 positive and 8 negative numbers. From these four numbers are chosen at random and multiplied. Then the probability, that the product is a negative number, is

7.

The angle between the lines, whose direction cosines l, m, n satisfy the equations l + m + n = 0 and 2l² + 2 m² – n² = 0, is

8.

If both mean and variance of 50 observations x₁, x₂, ..., x₅₀ are equal to 16 and 256 respectively, then the mean of (x₁ - 5)², (x₂ - 5)², ......, (x₅₀ - 5)² is

9.

Variance of first 2n natural numbers is

10.

If the sum of the mean and the variance of a binomial distribution for 5 trials is 1.8, then the value of p is

11.

The discrete random variable X can take all possible integer values from 1 to k, each with a probability of 1/k, then its variance is

12.

If x = 5/1 – 2i, i = √–1, then the value of x³ + x² − x + 22 is

13.

If a cos 2θ + b sin 2θ = c has α and ß as its roots, then the value of tan α + tan ß is

14.

The value of cos (18° - A) . cos (18° + A) - cos (72° – A) cos (72° + A) is

15.

The value of tan (π/8) is _______.