A set of consecutive positive integers beginning with 1 is written on a black board. A student comes along and erases one number. The average of the remaining numbers is 602/17. what was the number erased?
A. 5
B. 7
C. 9
D. 11
Answer: Option B
Solution(By Examveda Team)
the average of n consecutive numbers is (n+1)/2, so the n in the given case is near to 70. And since the new average is (602/17) , the number has got something to do with multiples of 17. So, total numbers before erasing are, 69 ( since all are integers, we can assume so ), and thus, we can write theentire thing as,
Assume erased number is x.
(69*35-x )/68 = 602/17
(2415-x)/68 = 602/17 => 2408/68
that means the x = 2415 - 2408 = 7
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