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The average of 11 results is 60 and that of the first 10 is 59. The 11th result is?
Question

The average of 11 results is 60 and that of the first 10 is 59. The 11th result is?

A.

70

B.

60

C.

69

D.

59

Correct option is A

Given:
Average of 11 results = 60
Average of first 10 results = 59

Formula Used:

Average = Sum of valuesNumber of values\frac{\text{Sum of values}}{\text{Number of values}}​​

Sum of values = Average ×\times ​ Number of values
Solution:
Let the sum of the 11 results be S11.S_{11}.​​
S11=60×11=660S_{11} = 60 \times 11 = 660​​
Let the sum of the first 10 results be S10.S_{10}.​​
S10=59×10=590S_{10} = 59 \times 10 = 590​​
The 11th result is:
11th result = S11S10=660590=70S_{11} - S_{10} = 660 - 590 = 70​​
Thus, the correct option is (a) 70.


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