joyseychow wrote:

If c + d = 11 and c and d are positive integers, which of the following is a possible value for

5c + 8d?

(A) 55

(B) 61

(C) 69

(D) 83

(E) 88

Is there any shortcut to this?

Answer should be 61 (B)

5c + 8d = 5c+5d+ 3d = 5*11+3d = 55+3d

Here d must any integers from 1 to 10

C --> 55+14 ( 14 is not multiple of 3 ) --> out

D --> 55+28 ( not multiple of 3) out

E --> 55+33 (d must be between 1 and 10 .. here it is 11) -->out

A--> out

B --> 55 +3*2 = 61 (Potential answer)

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