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Quant Quiz - Arithmetic - 14 September 2022

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Question 1

A and B started a business by investing 35000 and 21000 respectively. The number of months for which B invested into the business was 4 less than the number of months for which A invested. If the ratio of the profit of A to B was 5:2 then find the ratio of the months for which A and B invested in the business.

Question 2

The average marks obtained by 100 students is 68. If the mark obtained by one of the students was incorrectly calculated as 75, whereas the actual marks obtained by him were 65, what is the correct average of the marks obtained by all students?

Question 3

A train running at 45 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the opposite direction. Find the length of the platform.(in m)

Question 4

Two pipes can fill a cistern in 14 hr and 16 hr respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 32 mins extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it?

Question 5

There are two containers A and B containing mixture of milk and water. The concentration of milk in container A and B is (x − 5)% and (x + 10)% respectively. If both mixtures are mixed together in a certain ratio to get 85 litres of mixture in which the concentration of milk is (x + 4)%, find the amount of mixture used from container B.
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Apr 14PO, Clerk, SO, Insurance