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by B166418 » Wed Nov 07, 2012 7:59 pm
X and Y are possitive integers,what is value of XY

(1) Greatest common factor of X and Y is 10
(2) Least common multiple of X and y is 180


A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.
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Source: — Data Sufficiency |

by Anurag@Gurome » Wed Nov 07, 2012 8:02 pm
B166418 wrote:X and Y are possitive integers,what is value of XY

(1) Greatest common factor of X and Y is 10
(2) Least common multiple of X and y is 180


A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.
Product of two positive integers = (LCM of the integers)*(GCF of the integers)
Hence, we need both the statements to answer the question.

The correct answer is C.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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by Anurag@Gurome » Wed Nov 07, 2012 8:03 pm
B166418 wrote:X and Y are possitive integers,what is value of XY

(1) Greatest common factor of X and Y is 10
(2) Least common multiple of X and y is 180


A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient.
Picking Numbers Approach:

Statement 1: Consider the following two cases,
x = 10 and y = 20 ---> xy = 200
x = 10 and y = 30 ---> xy = 300

Not sufficient

Statement 2: Consider the following two cases,
x = 4 and y = 45 ---> xy = 180
x = 90 and y = 180 ---> xy = 90*1800

Not sufficient

1 & 2 Together: xy = 10*180 = 1800
Sufficient

The correct answer is C.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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