Averages – Section2

Question #1: The average age of a class of 32 students is 16 yrs. If the teacher's age is also included, the average increases by one year. Find the age of the teacher.
A) 49
B) 67
C) 54
D) 57

Option 'A' : 49
Hint:
Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs

Question #2: Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
A) 39
B) 40
C) 41
D) 42

Option 'A' : 39

Question #3: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
A) 58.85kg
B) 58.54kg
C) 58.45kg
D) 58.29kg

Option 'A' : 58.85kg
Hint:
Actual total weight is (20X 58.4 - 56 + 65) = 1177 Kgs
Actual average weight is 1177/20 = 58.85kgs

Question #4: The average of 5 consecutive numbers is n. If the next two number are also included, what will the average be?
A) Decrease by 1
B) Increase by 1
C) Increase by 2
D) Decrease by 2

Option 'B' : Increase by 1

Question #5: The average age of six numbers is 30. If one is excluded, the average become 25. The excluded number is:
A) 34
B) 77
C) 55
D) 57

Option 'C' : 55

Question #6: The average age of father and his two sons is 27 Years. Five years ago, the average age of the two sons was 12 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
A) 45
B) 47
C) 62
D) 51

Option 'B' : 47
Hint:
The total present age of father and two sons is 3S27 = 81 yrs
The total present age of sons is (12+5) X 2 = 34Years)
So, present age of father is 81 - 34 = 47 yrs

Question #7: Of three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the smallest of the three numbers is:
A) 20
B) 21
C) 18
D) 13

Option 'C' : 18
Hint:
Let first number be x.
So,2nd no. = 4x & 3rd no.=8x
So,x+4x+8x=78 × 3 = 234.
13x = 234
x = 234/13
Hence,smallest Number x=18.

Question #8: Out of 12 employees of a bank, one employ retires and his place, a new employ of age 24 years joins as a result average age of employs reduces by 4 years. The age of the retired employ is:
A) 35
B) 72
C) 23
D) 95

Option 'B' : 72

Question #9: The average of first five odd numbers is:
A) 4
B) 7
C) 6
D) 5

Option 'D' : 5

Question #10: The average temperature for Monday, Tuesday and Wednesday was 41°c. The average temperature for Tuesday, Wednesday and Thursday was 42°c. If the temperature on Thursday be 43°c, what was the temperature on Monday?
A) 40°c
B) 39°c
C) 41°c
D) 44°c

Option 'A' : 40°c

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