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Bunuel
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Bunuel,
Should not the answer be 'A'?
155 does not divide equally into 6.
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Another Vote for A
120 is not divisible by 9... but by 6 and 5.
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Bunuel
Danny can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Danny has in his herd?

A. 120
B. 155.
C. 180
D. 336.
E. 456

I am also with A.

Only 120 is the number which is divisible by 5 and 6 but not by 9.
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abhimahna
Bunuel
Danny can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Danny has in his herd?

A. 120
B. 155.
C. 180
D. 336.
E. 456

I am also with A.

Only 120 is the number which is divisible by 5 and 6 but not by 9.

Edited The OA. Thank you.
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Bunuel
Danny can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Danny has in his herd?

A. 120
B. 155.
C. 180
D. 336.
E. 456


First, take the LCM of 5 and 6 since the total number of cows need to be divisible by both 5 & 6.

This will give us: 5*6=30

Now, we are looking for an answer which is a multiple of 30. Therefore, (B), (D), & (E) can be eliminated.

In between (A) & (B),
120 is not divisible by 90
180 is divisible by 90

Hence, choice (A) is our answer.
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