Average Aptitude Test Paper 1
1) What is the average of first five multiples of 12?
- 36
- 38
- 40
- 42
The correct answer is A
Explanation:
Average = 12∗(1+2+3+4+5) ∗
= 12 ∗ 15∗
= 12 ∗ 3= 36
2) Average of five numbers is 20. If each number is multiplied by 2, what will be the new average?
- 30
- 40
- 50
- 60
The correct answer is B
Explanation:
The new average = Initial average ∗ 2
= 20 ∗ 2 = 40
3) If the average of three consecutive even numbers is 34, find the largest of these numbers.
- 30
- 32
- 34
- 36
The correct answer is D
Explanation:
Let the first number is X, then the next two even numbers would be X+2, X+4
As per question;
= 34
= 34
3X + 6 = 102
3X = 96
X = 32
Largest number would be = 32 + 4 = 36
4) 10 typists can type 600 pages in 8 hours.Find the average number of pages typed by each typist in an hour.
- 7 pages
- 7.5 pages
- 8 pages
- 8.5 pages
The correct answer is B
Explanation:
Total pages typed by 10 typists in 8 hours = 600
Pages typed by one typist in 8 hours = = 60 pages
Pages typed by one typist in one hour = = 7.5 pages
5) The average of Sohan’s marks in 6 subjects is 74. If his average in five subjects excluding science is 70, how many marks he obtained in science?
- 94
- 92
- 90
- 88
The correct answer is A
Explanation:
Total marks obtained in 6 subjects = 6 ∗ 74 = 444
Total marks in 5 subjects excluding science = 5 ∗ 70 = 350
Therefore, marks obtained in science would be = 444 – 350 = 94
6) Average age of a group of 30 boys is 16 years. A boy of age 19 leaves the group and a new boy joins the group. If the new average age of the group is 15.8 years, find the age of the new boy.
- 12 years
- 13 years
- 14 years
- 15 years
The correct answer is B
Explanation:
Let the age of new boy = X years
Total age of 30 boys = 30*16 = 480 years
As per question, if we minus age of boy who leaves the group and then add the age of boy who joins the group the new average becomes = 15.8 years.
∴ = 15.8
480 – 19 + X = 474
X = 474 – 480 +19
X = – 6 +19
= 13 years
7) The average weight of 10 men is decreased by 2 kg when one of them whose weight is 60 kg is replaced by a new man. What is the weight of the new man?
- 35 kg
- 40 kg
- 45 kg
- 50 kg
The correct answer is B
Explanation:
Average decrease in weight per person = 2kg
There are 10 men so total decrease in weight on replacing a man with a new man = 10 ∗ 2= 20 kg
Weight of the man who is replaced = 60 kg
∴The weight of the new man would be = Weight of man replaced – total decrease in weight of the group of 10 men.
= 60 – 20 = 40 kg
8) The average age of 30 boys in a class is 15 years. If we include the age of two teachers the average age increases by 1. Find the sum of ages of the two teachers.
- 55 years
- 58 years
- 62 years
- 64 years
The correct answer is C
Explanation:
Total age of 30 boys would be = 30∗15 = 450 years
Total age of 30 boys and 2 teachers would be = 32∗16= 512 years
∴ Sum of ages of two teachers would be = 512 – 450 = 62 years
9) The average age of the committee of 10 members is 40 years. A member of age 52 retires and a new member of age 38 takes his place. What is the average age of the present committee?
- 38.6 years
- 33.5 years
- 35.5 years
- 37.5 years
The correct answer is A
Explanation:
Total age of the committee = 10 ∗ 40 = 400 years
Age of retired member = 52 years
Age of new member = 38 years
As per question, we will minus 52 years and add 38 years in the total age then divide by 10 to find the new average age of the committee.
∴
= = = = 38.6 years
10) Four years ago, the average age of A and B was 20 years. If today average age of A, B and C is 25 years, what will be age of C after 7 years?
- 32 years
- 34 years
- 36 years
- 38 years
The correct answer is B
Explanation:
Total age of A and B four years ago = 20 ∗ 2 = 40 years
Present total age of A and B would be = 40 + 4∗2 = 48 years
Present total age of A, B and C is = 25 ∗ 3 = 75 years
∴ Present age of C would be = 75 – 48 = 27 years
Age of C after 7 years = 27 + 7 = 34 years
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