GATE 2021 : Toppers Weekly Quiz 7 (App update required to attempt this test)

If , Then the values of a and b are?

The order and degree of the given below differential equation are

Find the coefficient of cos2x in the expansion of Fourier series of the function, f(x) = x, – π < x < π.

The matrix is an orthogonal matrix. The value of the product P = a²b²c²________.

The absolute maxima value of function f(x) = 2 + 2x + 2y – x² – y²____________.

This book, including all its chapters, ________ interesting. The students as well as the instructor _______ in agreement about it.

Choose the word which is exact opposite of QUIESCENT.

If P = 3, R = 27, T = 243, then Q + S = ______

If she _______________ how to calibrate the instrument, she _______________ done the experiment.

Let C is unit circle having  where , then if e, f, g are positive real constants. Then choose the correct option(s):

The probability that a man can hit a target is . He tries five times. The probability that the will hit the target at least three times is

Consider the Initial value Problem

, y(1) = , y′( 1) = 6

If y(x) → 0 as x→ 0⁺, Then is equal to

The particular solutions of the equations y′ sin x = y log y satisfying the initial condition

Four positive integers are at random and are multiplied together. The probability that the product ends in an odd digit other than 5 is

It is given that out of 26 letters, 11 alphabets are called symmetric letters ( as they have same mirror image) which are as follows A, H, I, M, O, T, U, W, X and Z, then how many four letter passwords can be forms using only symmetric letters (with no repetition)?

When a person aged 39 is added to a group of n people, the average age increases by When a person aged 15 is added instead, the average age decreases by 1. The value of n is_____

A group of boys and girls know either French or Spanish. The number of boys and girls are in the ratio 1 : 4. 30% of the girls know Spanish and the rest of them know French. On the other hand, 50% of the boys know Spanish and the rest of them know French. A student is chosen at random from the group of students who knows Spanish. What is the probability that the chosen student is a girl?