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Gate CE 2021: General Aptitude 1

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Question 1

If a + b + c = 7 and ab + bc + ca = -6, then the value of a3 + b3 + c3 – 3abc is:

Question 2

Two equal containers are filled with a mixture of water and alcohol. One of them contains three times as much alcohol is in the other. The mixtures in the two containers are then mixed and it is found that the ratio of alcohol to water is 2 : 3. Find the ratio of alcohol to water in each of the original containers.

Question 3

A man can do a work in 10 days. With the help of a boy he can do the same work in 6 days. If they get Rs 50 for the work, what is the share of the boy?

Question 4

The average age of A and B, 2 years ago was 32. If the age of A, 5 years hence is 38 years, and B is 5 years younger to C, then find the difference between the age of A and C?

Question 5

The ratio of amount of work done by (y + 1) workers in (y + 2) days and that done by (y + 2) workers in (y + 3) days is 7 : 8, then the value of y is :

Question 6

A is thrice as fast runner as B, B is twice as fast runner as C and D is thrice as fast runner as C. If D travelled a distance in 1 hour 42 minutes, then the time taken by A to cover the same distance is:
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Dec 2ESE & GATE CE