CAMANISHPARMAR wrote:

A department of motor vehicles asks visitors to draw numbered tickets from a dispenser so that they can be served in order by number. Six friends have graduated from truck-driving school and go to the department to get commercial driving licenses. They draw tickets and find that their numbers are a set of evenly spaced integers with a range of 10. Which of the following could NOT be the sum of their numbers?

A) 1,254

B) 1,428

C) 3,972

D) 4,316

E) 8,010

Ans: D

Given 6 numbers that too evenly spaced with Range 10 so

lets say least is x and bcz range is 10 so largest is x+10. This way we know these number will be

x, x+2, x+4, x+6, x+8 and x+10

Sum of all = 6x+30 or 6(x+5)

; the sum of these 6 number is multiple of 6. so from the given sum any sum which is not divisible by 6, can not be the sum of the those six numbers.

Ans: D

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