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The average of odd numbers up to 100 i...

The average of odd numbers up to 100 is

A

50.5

B

50

C

49.5

D

49

Text Solution

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The correct Answer is:
B
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The average of all odd numbers less than 100 is:

There are 4 consecutive odd numbers (x_1, x_2, x_3 a n d x_4) and three consecutive even numbers (y_1, y_2 a n d y_3) . The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x_1, x_2, x_3 and x_4 ? (a) 30 (b) 38 (c) 32 (d) 34