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by Ashujain » Sun Jun 10, 2012 4:32 am
If * and # represent digits, is the 3-digit number 7*# divisible by 15?

(1) The sum of * and # is 11.

(2) The number 342*#/5 is an integer.
Source: — Data Sufficiency |

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by mathbyvemuri » Sun Jun 10, 2012 4:53 am
To be divisible by 15, a number shall be divisible by both 3 and 5.
stmt(1)=> sum of all digits = 7+11 = 18 => it's divisible by 3 but not sure about 5. Hence stmt(1) alone is not suff
stmt(2)=> # must be 0 or 5 => the number 7*# is divisible by 5 and no hint about 3. Hence stmt(2) alone is not suff
If both statements are considered, the number must be 765 and is divisible by 15.
Answer "C"