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Thursday, June 21, 2007
GRE ALGEBRA QUESTION OF THE DAY
Which of the following CANNOT be a factor of 2^i and 3^j , where i and j are positive integers? (A) 6 (B) 8 (C) 27 (D) 42 (E) 54
it can be either 8 or 27 coz,it was given as both multiple pf 2 "AND" 3
ReplyDeleteit can be 42 because , 42 is not only (purly) multiple of 2^i and 3^j ie
ReplyDelete42=2*3*7 ... 7 is not a multiple of 2^i and 3^j.
27
ReplyDeletei think its 8.
ReplyDelete8 is not a factor of 3
my answer is 8
ReplyDeletebcos 8 is a factor of 2 but not 3
if its 8 bcoz its not factor of 3 then 27 not factor of 2 ? how can u give that xplanation?
ReplyDeleteI think its 42 ,as all others the factors are 2 and 3 and only 42 has a 7 in it .
ReplyDeleteits 42 . cos the possible factors are powers of 2 or powers of 3 or multiples of 6 and 42 doesn km under any of the above.
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ReplyDeleteThe Answer will b 42
ReplyDeleteBcause only in that along with 2 and 3 there is a no. 7 which is not allowed according 2 the statement
42=2*3*7
42 ,because ,
ReplyDelete42= 2*3*7
7 is not in choice
actually the question is wrong...
ReplyDeletei and j are positive integers...
hence for 8 and 27
8=2^3*3^0
27 = 3^3 * 2^0
HENCE THE QUESTION IS WRONG
d . since 2*3*7=42 not possible
ReplyDeleteyah even i think the both 8 and 27 are the ans, cos 3 is not a factor of 8 and 2 is not a factor to 27.
ReplyDeleteThe Q says to find out the no. that isnt a multiple of both 2&3. In other words we have to find the no. that is not a multiple of 6.
Hence the ans are both 8 and 27 according to me.
i think it is 42 bcoz,
ReplyDelete2^3 = 8, 3^3 = 27, 2^1*3^1 = 6,
2^1*3^3 = 54 but, 2^1*3^1*7^1 = 42