CAT Exam Numerical Ability Ratio and Proportion

Ajay went to the market to buy a total of 90 apples , oranges and bananas . HE bought an equal number of apples and bananas .

The ratio of the number of apples and oranges he bought is 5:2

If the price of each was equal to that of each apple ,he could hav skipped the purchase of bananas and instead purchased the same number of apples and oranges as he actually bought for the same total amount .

If the prices r all integers , find the minimum possible total expenditure he could hav incurred in RS.

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CAT Other Question

26 friends, A to Z, are running a 10 km race to raise awareness about cancer. The race is being run along the 100 m perimeter of a basketball court.
All 26 start from the same point at the same time and run in the same direction. Their speeds are in an Arithmetic progression, with A being the fastest and Z being the slowest.
A overtakes Z for the first time, 20 seconds after the start of the race. M takes 52 minutes 5 seconds to complete the race.
How many seconds after the start of the race, will all 26 be at the starting point together?
A bag contain 5 blue ball, 5 red ball and ‘x’ green ball. The probability of getting 3 green ball is 5/143. Find the number of green ball in the basket?