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GATE 2020: Toppers Weekly Quiz 1 (App update required to attempt this test)

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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 LCVS 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

The sum of eight consecutive odd numbers is 656. The average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number?

Question 10

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 11

A man can row at 8 km per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in km per hour.

Question 12

The matrix satisfies the following polynomials:

A5 – 4A4 – 7A3 + 11A2 – 2A + KI = 0

The value of k is ______

Question 13

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 14

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 15

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 ­_________.

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