## Question 1.

**Rs 69 were divided among 115 students so that each girl gets 50 paise than a boy. Thus, each boy gets twice the paise than girl received. Find the number of girls in the class.**

1) 87

2) 99

3) 97

4) 102

5) 92

## Question 2.

**In a class, if the avg. a score of 42 boys in a school is 137 and the avg. the score of 98 girls is of 124 of the same class. Find the combined avg. of class.**

1) 119.5

2) 127.9

3) 132

4) 143

5) 137.6

## Question 3.

**In a two-digit number, the digit in unit place is 3 more than the digit in 10th place. If the ratio between the sum of digits and the difference of digits of that number is 5:1. Find the two digit number.**

1) 47

2) 36

3) 25

4) 69

5) 58

## Question 4.

**The work done by men, woman and child is in the ratio of 3:21. There are 20 men, 30 women and 36 children in a factory. Their hourly wages amount to Rs 780, which is divided among them in the ratio of work done by men, women and children. What will be the wages of 15 men, 21 women and 30 children for 3 hours?**

1) 1170

2) 1755

3) 1430

4) 960

5) 1532

## Question 5.

**A B and c started a new business by investing the capital in ratio 5:6:8. At the end of the business, they will receive the profit in the ratio of 5:3:12. Find the ratio of time which they contribute their capital.**

1) 6:2:1

2) 7:5:3

3) 6:8:3

4) 2:1:3

5) 5:9:1

## Question 6.

**The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate of interest per annum. Find the rate of interest?**

1) 4%

2) 4 ½%

3) 6

^{2}/

_{3}%

4) 7%

5) 1

^{2}/

_{3}%

## Question 7.

**A man purchased some paintings for Rs 19972. He sells 3/8 of them at 5% loss. At what profit % dis he sell the remaining, so that he ears 9% overall profit.**

1) 17.4%

2) 12%

3) 14.3%

4) 18.8%

5) 21%

## Question 8.

**Speed of a swimmer when moving in the direction perpendicular to the direction of the current is 16 km/h, speed of the current is 3 km/h. So the speed of the swimmer against the current will be (in km/h):**

(a) 22

(b) 10

(c) 9.5

(d) 13

(e) 18

## Question 9.

**645 * √ 256* 85.74 = 6**

^{3}* 8^{x}1) 2

2) 4

3) 3

4) 5

5) 1

## Question 10.

**110, ?, 42, 20, 6**

1) 72

2) 85

3) 69

4) 78

5) 92

## Solution

### Ans. 1 (5)

Boy = 2X = 100 paise

Girl = X = 50 paise

Difference = 2X – X = X

X = 50 paise

Convert Rs in to paise = 69 * 100 paise = 6900 paise

Solve it by mixture and allegation method

Girl = X = 50 paise

Difference = 2X – X = X

X = 50 paise

Convert Rs in to paise = 69 * 100 paise = 6900 paise

Solve it by mixture and allegation method

### Ans. 2 (2)

### Ans. 3 (4)

### Ans. 4 (2)

No of women = (30 women × ratio 2) = 60X

No of children = (36 children × ratio1) = 36X

Per head 1 hour =60X + 60X + 36X = 780

156X = 780

X = 5 Rs

Total amount = 3 hour (men × ratio × 1 hour rate + Women × ratio × 1 hour rate + children × ratio × 1 hour rate)

= 3 (15 × 3 × 5 + 21 × 2 ×5 + 30 × 1 × 5)

= 1755

### Ans. 5 (4)

### Ans. 6 (3)

### Ans. 7 (1)

### Ans. 8 (2)

Speed of swimmer against the current

= 13 – 3 = 10 km/h.

### Ans. 9

Answer= 2

### Ans. 10 (1)

n^{2}– n

9 × - 9 = 72