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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