## Ques 1.

A number consists of two digits whose sum is one fourth of the number. If the digits are reversed , the number becomes 27 more than the original .Find put the two-digit number.

(a) 45

(b) 56

(c) 36

(d) 81

**Ans 1.**Let the ten digit's and the unit's digit of the number be x and y respectively .

1/4 ( 10x + y) = x + y and

10y + x = 10x + y + 27

solving the two equation we get x =3 and y = 6.

Hence, the number is 36.

## Ques 2.

Ten years hence a man will be twice as old as his son be, but two years ago e was four times as old as his son then was .find the sum of their present ages.

(a) 36 years

(b) 34 years

(c) 44 years

(d) 52 years

**Ans 2.**let the man's present age be x and his son's present age be y.

. . x + 10 = 2 ( y + 10) and

x -2 = 4 ( y - 2)

From the above equation we get x + y= 34.

## Ques 3.

An army of 12000 consists of Europeans and Indians. The average height of a European is 5 ft 10 inches and that of an Indian 5 ft 9 inches and that of the whole army is 5 ft 9 3/4 inches.

Find the numbers of Indians in the army .

(a) 2000

(b) 3000

(c)4000

(d) 5000

**Ans 3.**

## Ques 4.

Two hours riders travel 150 km and 65 km in 12 hours and 5 hours respectively .Find the ratio if average speeds of the riders.

(a) 5 :6

(b) 15 : 16

(c) 25 : 26

(d) None of these

**Ans 4.**

## Ques 5.

An alloy contains copper and zinc in the ratio 5 : 3 and another alloy contains copper and tin in ratio 8 ;5 . If equal amounts of both the alloys are melted together ,find the weight of tin per kg in the resulting alloy.

(a) 90 g

(b) 192 g

(c) 149 g

(d) None of these

**Ans 5.**

## Ques 6.

A candidates got 20% of the total marks and failed y 18 marks .Another candidate got 32% of the total marks and got 42 marks more than the necessary pass marks. Find the total number of marks.

(a) 400

(b) 450

(c) 500

(d) 600

Ans 6.

. . In selling 130 kg he gains cost price of 130 x 0.065 kg of sugar.

## Ques 7.

What is 10%of 15% of 20% of Rs 500 ?

(a) Rs 1.30

(b) Rs 1.50

(c) Rs 15

(d) Rs 130

**Ans 8.**## Ques 8.

A person sold his watch for Rs 75 and got a percentage of profit equal to the cost price .find the cost price of the watch .

(a) Rs 100

(b) rs 150

(c) Rs 75

(d) Rs 50

**Ans 8.**## Ques 9.

A grocer who professes to sell sugar at cost price used a light weight of 935 g instead of a kg in selling 130 kg sugar .How much does he gain in the transaction is 2 1/2 kg for ten rupees ?

(a) Rs 3.80

(b) Rs 35

(c) 37.18

(d) None of these

**Ans 9.**In selling 1 kg of sugar the grocer gains the cost price of 0.065 kg of sugar.. . In selling 130 kg he gains cost price of 130 x 0.065 kg of sugar.

## Ques 10.

The cost price of a certain book to a bookseller is Rs 37.50 .Find the price he should quote for the book if he wants to secure a profit of 20% after allowing 6 1/4% commission to the customers.

(a) Rs 48

(b) Rs 50

(c) Rs 75

(d) None of these

**Ans 10.**