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GATE 2021: Topper's Weekly Quiz-3 (App update required to attempt this test)
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Question 1
It is _______ to read this year’s textbook _____ the last year’s.
Question 2
Statement: You can always give me a ring whenever you need.
Which one of the following is the best inference from the above statement?
Which one of the following is the best inference from the above statement?
Question 3
The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is
Question 4
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 5
Find the odd one in the following group
Q, W, Z, B B, H, K, M W, C, G, J M, S, V, X
Q, W, Z, B B, H, K, M W, C, G, J M, S, V, X
Question 6
The following differential equation has
Question 7
A vector function given by xy2 i + 2x2yz j – 3yz2 k. The vector function under consideration is
Question 8
The recursion relation to solve x = e-x using Newton Raphson method is
Question 9
find the inverse Laplace Transforms L-1{}
Question 10
If , where a and b are real, the value of is
Question 11
Choose the most appropriate word from the options given below to complete the following sentence:
It was her view that the country's problems had been ______ by foreign technocrats, so that to invite them to come back would be counter-productive.
It was her view that the country's problems had been ______ by foreign technocrats, so that to invite them to come back would be counter-productive.
Question 12
Which of the following options is the closest in meaning to the world below:
Circuitous
Circuitous
Question 13
Trucks (10m long) and cars (5 m long) go on a single lane bridge. There must be a gap of atleast 20 m after each truck and a gap of atleast 15m after each car. Trucks and cars travel at a speed of 36 km/h. If cars and trucks go alternatively, what is the maximum number of vehicles that can use the bridge in one hour?
Question 14
Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1 /4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?
Question 15
A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. If the company registered a profit of Rs. 10 lakhs in 2012, at what price (in Rs.) was each air purifier sold?
Question 16
Find the Solution of the differential equation y``+4y`+13y=0, y (0) = 0; y`(0) =1
Question 17
Which one of the following graphs describes the function
Question 18
Two machines, A and B, manufacture a particular component. Here is the chart showing each machine's effectiveness:
If a component is chosen randomly from all of them, what is the probability it is faulty?
If a component is chosen randomly from all of them, what is the probability it is faulty?
Question 19
Let C be the triangular path connecting the points (0, 0), (2, 2) and (0, 2) in the counter clock wise direction then is equal to______.
Question 20
For the residue of the pole at z = 0 is _____.
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