#### 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

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