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# GATE 2024 Aptitude Quiz 2

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Question 1

Eight years ago, the ratio of the ages of A and B was 9 : 10. The ratio of their ages 4 years from now will be 12 : 13. If the age of C is 4 years less than the present age of A, then what is the present age (in years) of C?

Question 2

A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water was added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?

Question 3

A, B and C can do a work in 8, 10 and 12 days, respectively. After completing the work together, they received Rs. 5,550. What is the share of B (in Rs.) in the amount received?

Question 4

A motorboat whose speed is 20 km/h in still water takes 30 minutes more to go 24 km upstream than to cover the same distance downstream. If the speed of the boat in still water is increased by 2 km/h, then how much time will it take to go 39km downstream and 30 km upstream?

Question 5

Three taps A, B and C together can fill an empty cistern in 10 min. The tap A alone can fill it in 30 min and the tap B alone can fill it in 40 min. How long will the tap C alone take to fill it?

Question 6

One root of the equation ax2 + bx + c = 0 (Where a, b and c are rational numbers) is 7 + 4√3. Then find the value of :
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