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DS Question

by Strongt » Mon May 16, 2011 3:33 am
If zt < -3, is z < 4 ?

(1) z < 9
(2) t < -4

St I is insufficient (z could be either -ve or +ve)
St II is insufficient(says that z is +ve but no info on whether its smaller or larger than 4)

Combined I still find many values that satisfy this inequality)

My answer is E...not sure what the OA is?
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Source: — Data Sufficiency |

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by Anurag@Gurome » Mon May 16, 2011 4:26 am
Strongt wrote:If zt < -3, is z < 4 ?

(1) z < 9
(2) t < -4

St I is insufficient (z could be either -ve or +ve)
St II is insufficient(says that z is +ve but no info on whether its smaller or larger than 4)

Combined I still find many values that satisfy this inequality)

My answer is E...not sure what the OA is?
zt < -3

(1) z < 9 implies z can be positive or negative, such that z may or may not be < 4. Examples: zt = (8)(-5) = -40 or zt = (-4)(3) = -12
So, (1) is NOT sufficient.

(2) t < -4 implies t can take only negative values and z can take any positive value. Examples: zt = (1)(-5) = -5 or zt = (5)(-5) = -25
We don't get a unique answer.
So, (2) is NOT sufficient.

Combining (1) and (2), z < 9 and t < -4 implies that z can take only positive values and t can take negative values (as zt < -3). But again , the examples in statement are applicable here.
So, combining also is NOT sufficient.

The correct answer is E.
Anurag Mairal, Ph.D., MBA
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