GATE ME 2021 : Toppers weekly Quiz 9 (App update required to attempt this test) for ESE & GATE ME Exams

Question 1

The missing number of the series is _______.
13 27 53 ____ 213 427 853

Question 2

The volume under the surface z(x, y) = x + y and above the triangle in the x-y plane defined by

is _________.

Question 3

Which of the following is CORRECT with respect to grammar and usage?
Mount Everest is_________.

Question 4

The ratio material cost and labor cost in a small construction project is 3:1. If the labor cost went up by 20% and material cost witnessed an avenge increase of 15%, what will be the new ratio of labor cost and material cost?

Question 5

40% of deaths on city roads may be attributed to drunken driving. The number of degree needed to represent this as a slice of a pie chart is

Question 6

If

Where, C: circle

, then the value of

is

Question 7

In a parking lot, 30 cars, 30 vans and 40 LCV_S are parked. What is the probability that a car leaves after a van or LCV have left?

Question 8

She has a sharp tongue and it can occasionally turn _______.

Question 9

if two numbers selected randomly from the set { 1,2,3,4,5,6,7…….96,97,98,99,100 }. What will be the probability their sum will be divisible by 5.

Question 10

The matrix

satisfies the following polynomials:

A⁵ – 4A⁴ – 7A³ + 11A² – 2A + KI = 0

The value of k is ______

Question 11

Read the following paragraph and choose the correct statement.
Climate change has reduced human security and threatened human wellbeing. An ignored reality of human progress is that human security largely depends upon environmental security. But on the contrary, human progress seems contradictory to environmental security. To keep up both at the required level is a challenge to be addressed by one and all. One of the ways to curb the climate change may be suitable scientific innovations, while the other may be the Gandhian perspective on small scale progress with focus on sustainability.

Question 12

From a circular sheet of paper of radius 30cm, a sector of 10% area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is ________.

Question 13

The line integral of the vector field F= 5xzi +(3x²+2y)j + x²zk along a path from (0,0,0) to (1,1,1) parametrized by (t,t²,t)is _________.

Question 14

If 137 + 276 = 435 how much is 731 + 672?

Question 15

The Laplace transform of

Question 16

The mean and variance of binomial distribution b(x: n, p) are 4 and 4/3 respectively. What is the probability of getting 2 successes?

Question 17

Two alloys A and B contain gold and copper in the ratios of 2 : 3 and 3 : 7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is __________.

Question 18

The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is

Question 19

Choose the pair of words to be placed in the 2 blanks in the given sentence so that the competed sentence becomes meaningful.
After having been close friends for more than a decade, they had a ______ last year and have not ______ each other ever since.

Question 20

P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12
hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?