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Averages and AGES Problems Quantitative Aptitude and Reasoning

average problems with solutions pdf

Aptitude Reasoning

AVERAGES QUANTITATIVE APTITUDE 

Quantitative and Aptitude Chapter Wise Explanation, Average Problems with solutions PDF download

AVERAGE = Sum of values  / No. of values

Suppose a man covers a certain distance at X- Kmph and an equal distance at Ykmph
then the average speed during the whole journey is =  2XY/X+Y KMPH

Example Problems:

1.  Four years ago the average of son & father’s age was 27.5. Today the ratio of their age is 5: 16. Find out the son’s present age?

SOLUTION:

Four years ago the age of son + father = 27.5 × 2
= 55 years
Now, their age is = 55+8 = 63 years
Therefore, son present age = 63 × 5/21
= 15 years (answer)

2.  The average of four positive integers is 59. The highest integer is 83 & the lowest integer is 29. The difference between the remaining two integers is 28. What is the higher of the remain two integers?

SOLUTION:

Remaining two integers are X & Y
83 + 29 + X + Y = 59×4 …………. (1)
X – Y = 28 …………….. (2)
From equations 1 & 2
X = 76, Y = 43
X = 76 is the higher value (answer)

3.  The average age of 6 employees in a department is 34 years. If the age of their officer added, the average increased by 1. What is the age of the officer ?

SOLUTION:

Age of officer = 34 + (7 × 1)
= 41 years (answer)

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