KarunMendiratta wrote:
Which amongst the given values CANNOT be the sum of four consecutive integers?
A. 18
B. 24
C. 30
D. 32
E. 36
F. 42
G. 44
OA ExplanationConsecutive integers: (x - 1), x, (x + 1), (x + 2)
So, (x - 1) + x + (x + 1) + (x + 2) = 4x +2
Now, Which amongst the given values CANNOT be the sum of four consecutive integers?
We need to subtract 2 from each option choice and see if it is divisible by 4 or not!
The option choices which are not divisible are our answers choices;
A. \(\frac{(18 - 2)}{4}\): DivisibleB. \(\frac{(24 - 2)}{4}\): Not Divisible C. \(\frac{(30 - 2)}{4}\): DivisibleD. \(\frac{(32 - 2)}{4}\): Not DivisibleE. \(\frac{(36 - 2)}{4}\): Not DivisibleF. \(\frac{(42 - 2)}{4}\): DivisibleG. \(\frac{(44 - 2)}{4}\): Not DivisibleHence, option B, D, E and G