FACTS  AND  FORMULAE  FOR  AVERAGE QUESTIONS

 

 

1. Average =Sum of observationsNo. of observations

2. Suppose a man covers a certain distance x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is2xyx+yKmph

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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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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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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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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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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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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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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Q:

 Find the average of first 30 multiples of 7.

 

A) 94.8 B) 99.6
C) 104.4 D) 108.5
 
Answer & Explanation Answer: D) 108.5

Explanation:
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