169+ Problems on Average With Explanation

Q:

What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58 ?

A) Rs. 3748	B) Rs. 3847
C) Rs. 3944	D) Rs. 3154

Answer & Explanation Answer: C) Rs. 3944

Explanation:

Let the side of the square plot be 'a' ft.
Given area of the plot (a x a) = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 ft.
Cost of building the fence = 68 x 58 = Rs. 3944.

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Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

16 15268

Q:

Consider the following grouped frequency distribution:

x f

0-10 8

10-20 12

20-30 10

30-40 p

40-50 9

If the mean of the above data is 25.2, then what is the value of p?

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: C) 11

Explanation:

Mean = (sum of fixi/ (sum of f) = (8*5 + 12*15 + 10*25 + P*35 +9*45) / (8+12+10+P+9) = 25.2

(875 + 35P)/(39+P) = 25.2

P = 11

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0 14725

Q:

The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is :

A) 15	B) 20
C) 21	D) data inadequate

Answer & Explanation Answer: D) data inadequate

Explanation:

Clearly, to find the average, we ought to know the number of boys, girls or students in the class, neither of which has been given.

So, the data provided is inadequate.

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18 14539

Q:

What is the average of four tenths and five thousandths

A) 25002	B) 2502
C) 0.2025	D) none

Answer & Explanation Answer: C) 0.2025

Explanation:

Four tenths = 0.4

Five thousandths = 0.005

The average is (0.4 + 0.005)/2 = 0.2025

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Exam Prep: GRE

12 14488

Q:

123 typists typeed 984 papers in 1/15 hour. The number of papers typed for minute by a average typist is:

A) 1	B) 2
C) 3	D) 5

Answer & Explanation Answer: B) 2

Explanation:

Use unitary method:

In $\inline \frac{1}{15}$ hours, 123 typists can type 984 paper

In 1 minute, 123 typists can type $\inline \frac{984}{4}$ = 246 papers

In 1 minute, 1 typist can type $\inline \frac{246}{123}$ =2 papers [ Hint $\inline \frac{1}{15}$ hours = 4 minutes]

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20 13782

Q:

The runs scored by two batsmen over 7 matches are given below. Which batsman average was better ?

A) Batsman 1 - 39.3	B) Batsman 1 - 45.9
C) Batsman 1 - 43.2	D) Batsman 2 - 45.9

Answer & Explanation Answer: D) Batsman 2 - 45.9

Explanation:

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1 13555

Q:

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then :

A) x = y + z	B) 2x = y + z
C) 3x = 2y - 2z	D) none of these

Answer & Explanation Answer: B) 2x = y + z

Explanation:

Clearly, we have : x = (3y + 3z ) / 6 or 2x = y + z.

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13 13399

Q:

Find the average of first 30 multiples of 7.

A) 94.8	B) 99.6
C) 104.4	D) 108.5

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