Sunday, April 15, 2007

"ALGEBRA QUESTION OF THE DAY"

Which one of the following could be the difference between two numbers both of which are divisible
by 2, 3 and 4?
(A) 71
(B) 72
(C) 73
(D) 74
(E) 75
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6 comments:

Anonymous said...

ans : B

April 15, 2007 at 12:24 PM
Madhur said...

explain ..

April 15, 2007 at 2:16 PM
Unknown said...

B
any number divisible by 4 is divisible by 2 as well..
the LCM of 4 and 3 is 12.So the numbers will be a multiple of 12.
let the numbers be 12m and 12n
so 12(m-n) is the possible difference.
m-n has to be an integer as well.
only 72 (option b) satisfies the criteria.
Hence B is the answer

April 16, 2007 at 3:06 AM
Anonymous said...

Right saying Abhishek.
B)

April 16, 2007 at 5:38 AM
Anonymous said...

B

April 16, 2007 at 10:44 PM
Admin said...

CORRECT ANSWER IS
A number divisible by all three numbers 2, 3, and 4 is also divisible by 12. Hence, each number can
be written as a multiple of 12. Let the first number be represented as 12a and the second number as 12b.
Assuming a > b, the difference between the two numbers is 12a – 12b = 12(a – b). Observe that this
number is also a multiple of 12. Hence, the answer must also be divisible by 12. Since 72 is the only
answer-choice divisible by 12, the answer is (B).

April 18, 2007 at 11:44 AM

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