Question 143

The average of five numbers is 56.4. The average of the first and the second number is 53. The average of the fourth and the fifth number is 56. What is the third number ?

Solution

Average of 5 numbers is given as 56.4

Total of 5 numbers = Average x Number of Elements

Total of 5 numbers = 56.4 x 5 = 282

Average of 1st and 2nd number is 53

Total of 1st and 2nd number = 53 x 2 = 106

Average of 4th and 5th number is 56

total of 4th and 5th number = 56 x 2 = 112

1st + 2nd + 3rd +4th +5th = 282

106 + 3rd + 112 = 282

3rd = 64

hence option E is correct

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