If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s

Question

If rs ≠ 0, is t an integer?

(1) t = 3r – 2s
(2) r = s

niks18 · Answer

Statement 1 : if  r  &  s  are integers then  t  is integer, if not then  t  may or may not be an integer. hence  insufficient

Statement 2 : no information about  t . Hence  insufficient

Combining 1 & 2 we get  t=3r-2r=r , if  r  is an integer then  t  is an integer if not then  t  is not an integer. Hence  insufficient

Option  E

Mo2men · Answer

(2) r = s

No info about t

Insufficient

(1) t = 3r – 2s

Let r = s = 1....t = 1.............Answer is Yes

Let r = s = 1/2..t = 1/2.............Answer is No

Insufficient

Combine 1 & 2

I considered r = s in examples above.......No clear answer answer

Insufficient

Answer: E

JeffTargetTestPrep · Answer

Statement One Alone:

t = 3r – 2s

If r = 1 and s = 1, then 3r - 2s = 1 and t is an integer; however, if r = 1/2 and s = 1, then 3r - 2s = -0.5 and t is not an integer. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

r = s

Since statement two does not provide any information regarding t, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the statements together, we have t = 3r - 2r, or t = r. However, since we do not know whether r is an integer, we cannot determine whether t is an integer.

Answer: E

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If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s

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GMAT Data Sufficiency (DS) Questions

If rs ≠ 0, is t an integer? (1) t = 3r – 2s (2) r = s

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