Instructions

For the following questions answer them individually

Question 51

Two vessels A and B contain acid and water in the ratio 3 : 2 and 7 : 3, respectively. The contents of A and B are mixed in the ratio 4 : 3. What is the ratio of acid and water in the resulting solution?

Question 52

Let $$x$$ be the greatest number of 4-digits which when divided by 12, 15, 16 and 20, the remainders are 9, 12, 13 and 17, respectively. The sum of the digits of $$x$$ is:

Question 53

A certain sum amounts to â‚¹9,648 in 4 years and to â‚¹11,484 in 7 years at the same rate per cent per annum at simple interest. The sum is:

Question 54

The average of 23 numbers is 45. The average of the first 12 numbers is 40.5 and the average of the last 6 numbers is 48.5. What is the average of the remaining numbers?

Question 55

A certain sum borrowed at 7.5% p.a. at simple interest amounts to â‚¹16,950 in $$5\frac{1}{2}$$ years. What will be the simple interest (in â‚¹) on the same sum at the same rate in $$8\frac{1}{4}$$ years?

Question 56

A shopkeeper marked his goods at a 25% higher price than their cost price. Finally, he sold the goods at 30% discount on the marked price. His profit/loss percentage is:

Question 57

The cost price of 62 books is equal to the selling price of 50 books. The profit per cent is:

Question 58

An article is sold at a profit of 25%. If its cost price is reduced by 20% and it is sold at the same selling price, then what will be the profit per cent?

Question 59

When the number 25 is included in a list of natural numbers, their average is increased by 4. When the number 7 is included in this new list, the average of the numbers in the new list is decreased by $$\frac{1}{3}$$. How many numbers were there in the original list?

Question 60

The greatest number which divides 52, 68 and 116 to leave the same remainder in each case is:

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