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Which of the following statements(s) is/are correct? I. The average of 24 numbers is 22. If the average of first 9 numbers is 18, then average of r
Question

Which of the following statements(s) is/are correct?
I. The average of 24 numbers is 22. If the average of first 9 numbers is 18, then average of remaining numbers will be 24.4.
II. Average of 149, 223, 520, 287 and 251 is 286.

A.

Only II

B.

Neither I nor II

C.

Both I and II

D.

Only I

Correct option is C

Given:
Average of 24 numbers is 22; Average of first 9 numbers is 18; Remaining numbers: 24.4
Formula Used:
Total Sum = Average × Number of terms; Remaining Average = (Total Sum - Sum of first 9 numbers) / Remaining numbers.
Solution:
Total Sum = 22 × 24 = 528
Sum of first 9 numbers = 18 × 9 = 162
Sum of remaining numbers = 528 - 162 = 366
Average of remaining numbers = 36615\frac{366}{ 15}​ = 24.4
Thus, I is true.
For II:
Sum of numbers = 149 + 223 + 520 + 287 + 251 = 1430
Average = 14305\frac{1430 }{5 }​= 286
Thus, II is true.

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