gmatophobia
A rectangular array consists of 1105 cans with no can placed on top of another. If each row in the array consists of the same number of cans, which of the following could NOT be the number of rows in the array?
A. 5
B. 13
C. 17
D. 25
E. 85
The question aims to test the concept of divisibility
1105 = 5 * 221 = 8 * 17 * 13
As the number of cans in each row is the same, 1105 should be completely divisible by all except the correct option.
Answer Choice Elimination A. 5 ⇒ \(\frac{1105}{5}\) = Integer. Hence we can eliminate A.
B. 13 ⇒ \(\frac{1105}{13}\) = Integer. Hence we can eliminate B.
C. 17 ⇒ \(\frac{1105}{17}\) = Integer. Hence we can eliminate C.
D. 25 ⇒ \(\frac{1105}{25} \neq\) Integer. Correct option.
E. 85 ⇒ \(\frac{1105}{85}\) = Integer. Hence we can eliminate E.
Option D
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