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Gate 2021 : Toppers Weekly Quiz 6 (App update required to attempt this test)

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Question 1

Select the most appropriate meaning of the given idiom.

As clear as mud

Question 2

The value of surface integral

over the surface of the sphere x²+y²+z²=16 is

Question 3

Select the most appropriate option to fill in the blank.

The values or ________ of one group are not obviously superior to that of another group.

Question 4

Kunal walks 20m south, he turns left and walks 30m, then he turns left and walks 35m, then he turns right and walks 15m, then he turns right and walks 15m. he again turns right and walks 15m.

Which direction is kunal facing now?

Question 5

The probability that A speaks truth is 4/5, while this probability for B is 3/4. The probability that they contradict each other when asked to speak on a fact is ______.

Question 6

The value of β such that the given vector field is solenoidal will be:

Question 7

Given below are four jumbled sentences. Pick the option that gives their correct order.

A. He would sit at the edge of her mother's bed and stare into her crib.

B. Arvind bumbled down the interminable corridor, suddenly reminded of his daughter in the days after she was born.

C. As a proportion to the fragment of life his daughter had seen, an hour was a vast sprawling space.

D. Some days he would imagine the world through her eyes and he would feel in his heart how long an hour actually was.

Question 8

An unbiased die is rolled thrice. What will be the probability of exactly one odd number turning up among the three outcomes?

Question 9

All the letters of the word ‘INCEPTION’ are arranged in alphabetical order from left to right. Then all the consonants are replaced with the next alphabet( as per English alphabetical order)

and all the vowels remain the same. Then which of the following will be second letter from the right end?

Question 10

If (3x – 1)³ + (4x – 3)³ + (2x + 1)³ = 3 (3x – 1) (4x – 3) (2x + 1) and

then x = ?

Question 11

If x⁸ – 1442x⁴ + 1 = 0, then a possible value of x – 1/x is :

Question 12

x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?

Question 13

Consider

with y(0) = 0 using Euler’s method with step size of 0.1, the value of y(0.3) is?

Question 14

let

= yz

+ zx

+ xy

, then the value of div

and curl

are respectively

Question 15

The determinant of the given matrix is _________.
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Question 16

The Newton-Raphson method is used to find the roots of the equation
f(x) = x – cos πx, 0 ≤ x ≤ 1
If the initial guess for the root is 0.5, then the value of x after the first iteration is ___.

Question 17

If TIE = 14 and BYE = 12, then how will you code PRO ?

Question 18

The function f(x) = 2x³ – 3x² – 36x + 2 has its maxima at

Question 19

If (8x³ + 27 y³) ÷ (2x + 3y) = (Ax² + Bxy + Cy²), then the value of (5A + 4B + 3C) is:

Question 20

There is a class of 100 students out of which 50 students read Hindi, 20 students read Sanskrit and 10 students read both Hindi and Sanskrit. If one student is selected at random, then the probability that he reads Sanskrit if it is known that he reads Hindi is?

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ESE & GATE CE Engineering Mathematics General Aptitude

Apr 17ESE & GATE CE