EgmatQuantExpert
Q.
If y > x, is y > 64
(1) x has 7 factors(all even but one) and is divisible by only one prime number.
(2) |y-64| > |x-64|
Answer Choices
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Thanks,
Saquib
Quant Expert
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(1) x has minimum value = 2^6 =64
thus y>x=64
y>64
suff
(2) sq. both side we get
y^2-128y > x^2-128x
or y^2 - x^2 - 128y + 128x >0
y^2 - x^2 - 128(y -x ) >0
taking y-x common out
(y-x)(y+x-128)>0
as y-x > 0 given
then
y+x>128------(a)
and y-x >0------(b)
adding (a) and (b)
2y > 128
or y> 64
suff..
Ans D