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GATE 2020: General Aptitude Rapid Mini Mock

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Question 1

If (a + b) : (b + c) : (c + a) = 7 : 6 : 5 and a + b + c = 27, then what will be the value of  ?

Question 2

If  , then the value of  will be closest to :

Question 3

Travelling at 60 km/h, a person reaches his destination in a certain time. He covers 60% of his journey in  of the time. At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time?

Question 4

When an article is sold for Rs 355, there is a loss of 29%. To gain 21% it should be sold for how much.

Question 5

The ratio of the income of A to that of B is 5 : 7. A and B save Rs 4,000 and Rs 5,000 respectively. If the expenditure of A is equal to  of the expenditure of B, then the total income of A and B is :

Question 6

A circle is inscribed in ∆ABC, touching AB, BC and AC at the points P, Q and R respectively. If AB – BC = 4 cm, AB – AC = 2 cm and the perimeter of ∆ABC = 32 cm, then PB + AR is equal to :

Question 7

A sum of Rs. 18,000 is lent at 10% p. a. compound interest, compounded annually. What is the difference between the compound interest for 3rd year and 4th year?

Question 8

A person marks his goods x% above the cost price and allows a discount of 30% on the marked price. If his profit is 5%, then the value of x will be :

Question 9

If a nine-digit number 389x6378y is divisible by 72, then the value of  will be :

Question 10

A and B started their journeys from X and Y and Y to X, respectively. After crossing each other, A and B completed the remaining parts of their journeys in  h and 8 h respectively. If the speed of B is 28 km/h, then the speed (in km/h) of A is :

Question 11

Abhi rows upstream a distance of 28 km in 4 h and rows downstream a distance of 50 km in 2 h. To row a distance of 44. 8 km in still water, he will take :

Question 12

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. Find the ratio of milk and water in the final mixture obtained?
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Feb 5ESE & GATE EC