List of top Questions asked in GATE ST- 2026

A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube. The minimum number of such cuts required is

Let \( X \) be a random variable taking only two values, 1 and 2. Let \( M_X(t) \) be the moment generating function of \( X \). If the expectation of \( X \) is \( \frac{10}{7} \), then the fourth derivative of \( M_X(t) \) evaluated at 0 equals

Two fair dice, one having red and another having blue color, are tossed independently once. Let \( A \) be the event that the die having red colour will show 5 or 6. Let \( B \) be the event that the sum of the outcomes will be 7 and let \( C \) be the event that the sum of the outcomes will be 8. Then which one of the following statements is true?

Let \( \{W(t)\}_{t \geq 0} \) be a standard Brownian motion. Which one of the following statements is NOT true?

In a testing of hypothesis problem, which one of the following statements is true?

Let \( X \) be a random variable having discrete uniform distribution on \( \{1, 3, 5, 7, \dots, 99\} \). Then \( E(X \mid X \text{ is not a multiple of 15}) \) equals

Let \( A \) be a \( 3 \times 3 \) real matrix and let \( I_3 \) be the \( 3 \times 3 \) identity matrix. Which one of the following statements is NOT true?