**Problem 1 :**

Divide 7 by 1/5

(A) 85 (B) 38 (C) 35

**Solution :**

= 7 by 1/5

= 7/(1/5)

= 7⋅5

= 35

**Problem 2:**

Simplify 5/6 ÷ (15/18 ⋅ 6/9)

(A) 1/2 (B) 3/2 (C) 1/5

**Solution :**

**5/6 ÷ (15/18 ⋅ 6/9)**

** = 5/6 **** ÷ (5/9)**

** = (5/6) **⋅ (9/5)

= 3/2

So, the answer is 3/2.

**Problem 3 :**

1/3 of the population of a village are the farmers. If the number of others is 1120, find the total population of the village.

(A) 1530 (B) 1680 (C) 1245

**Solution :**

Let x be the total population

1/3 of x = Number of farmers

Number of farmer + other = Total population

1/3 of x + 1120 = x

x/3 + 1120 = x

x-x/3 = 1120

2x/3 = 1120

x = 1120(3/2)

x = 1680

So, the total population is 1680.

**Problem 4 :**

Convert 40% into decimal fraction.

(A) 0.25 (B) 0.04 (C) 0.1

**Solution :**

40% = 40/100

= 0.04

**Problem 5 :**

12% of the books in a public library are mathematics books. If there are 92,000 books in the library, determine the number of mathematics books.

(A) 11040 (B) 12000 (C) 15400

**Solution :**

Number of English books in the library is

= 12% of the total books

= 0.12 ⋅ 92000

= 11040

So,the number of English books in the library is 11040.

**Problem 6 :**

The present age of a father is 42 and the age of his son is 6. What is the ratio of the father's age to the son's age?

(A) 7:5 (B) 7:1 (C) 2:1

**Solution :**

Age of father = 42

Age of his son = 6

Required ratio is 42 : 6

= 7 : 1

So, the required ratio is 7 : 1

**Problem 7 :**

10 boys are in the school cub group. Their ages are

8, 9, 8, 10, 9, 10, 9, 9, 8, 10.

What is the average age of the group ?

(A) 9 (B) 2 (C) 13

**Solution :**

8 is repeating 3 times.

9 is repeating 4 times.

10 is repeating 3 times.

Average = Sum of numbers / Total number of items

= [3(8) + 4(9) + 3(10)] / 10

= (24+36+30)/10

= 90/10

= 9

**Problem 8 :**

A train covers 20 km in 6 hours. How much time will it take to cover 360 km ?

(A) 1064 km (B) 1056 km (C) 1836 km

**Solution :**

Distance covered = 399 km, Time taken = 6 hours

Time = Distance / Speed

Speed = 399/6

Distance covered in 16 hours = Time ⋅ Speed

= 16 ⋅ (399/6)

= 1064

**Problem 9 :**

Find the number of days from August 15 to October 2 of the same year.

(A) 48 (B) 32 (C) 18

**Solution :**

August = 15 days

September = 31

October = 2

Total number of days = 15 + 31 + 2

= 48 days

So, the total number is days is 48 days.

**Problem 10 :**

Change 3 weeks 3 days and 12 hours into hours.

(A) 125 hours (B) 588 hours (C) 250 hours

**Solution :**

1 week = 7 days

1 day = 24 hours

3 week = 21 days

Total number of days = 21 + 3

= 24 days

Number of hours = 24 (24) ==> 576

576 + 12 = 588 hours

So, the required number of hours is 588.

1. 35

2. 3/2

3. 1680

4. 0.4

5. 11040

6. 7:1

7. 9

8. 3 hours

9. 48

10. 588 hours

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