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Averages ( 6 to 10 ):

# APTITUDE QUESTIONS (AVERAGES):

6. If the average marks of three batches of 55, 60 and 45 students respectively are 50, 55 and 60, then the average marks of all the students is:

A) 53.33

B) 54.68

C) 55

D) 60

E) None of these

View Answer

Answer: option (B)

Explanation:

Required Average = [ (55*50+60*55+45*60)/(55+60+45) ]= (2750+3300+2700)/160 = 8750/160 = 54.68

7. Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is:

A) 15

B) 45

C) 48

D) 60.25

E) None of these

View Answer

Answer: option (C)

Explanation:

Le the first number be x.

Then, the sum of the four numbers = x + 4x = 5x.

So, 5x/4 =60 or x = (60*4)/5=48

8. If the arithmetic mean of seventy-five numbers is calculated, it is 35. If every number is increased by 10, then the mean of new numbers is:

A) 45

B) 30

C) 70

D) 90

E) None of these

View Answer

Answer: option (A)

Explanation:

Arithmetic Mean of 75 numbers = 35

The sum of 75 numbers = (75 * 35) = 2625

Total increase = (75 * 10) = 750

Increased sum = (2625 + 750) = 3375

Increased average = 3375/75}=45

9. The average of ten numbers is 7. If each number is multiplied by 12, then the average of the new set of numbers is:

A) 7

B) 19

C) 82

D) 84

E) None of these

View Answer

Answer: option (D)

Explanation:

Average of 10 numbers = 7

The sum of these 10 numbers is = (10 * 7) = 70

∴ x1 + x2 + ……+ x10 = 70

=> 12×1 + 12×2 + ……+ 12×10 = 840

=> (12×1 + 12×2 + … + 12×10)/10}=84

=> Average of new numbers is 84.

10. The average number of 11 numbers is 10.9. The average of the first 8 numbers is 10.5 and that of the last 8 numbers is 11.4, then what is the middle number:

A) 51

B) 41.3

C) 51.4

D) 55.3

E) None of these

View Answer

Answer: option (D)

Explanation:

Middle number = [(10.5 * 8 + 11.4 * 8) – 10.9 * 11] = (175.2 – 119.9) = 55.3