X+Y<1
(1) dont know Y
(2) dont know X
combining. x+y can be less than or more than 1.
hence E
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Gmat prep problem
Source: Beat The GMAT — Data Sufficiency |
Note that you can place LT and GT before a number to refer to less than or greater than respectively.
x + y < 1?
1) x < 8/9
LT(8/9) + y < 1 ? Insufficient because y could be any number
2) y < 1/8
x + LT(1/8) < 1 ? Insufficient because x could be any number
3) Combined:
LT(8/9) + LT(1/8) < 1?
LT(64/72) + LT(9/72) < 1?
LT(73/72) < 1? [Note that 73/72 must be a number greater than 1]
1) and 2) Combined is insufficinet to answer because LT(73/72) could be greater than 1 or less than 1.
x + y < 1?
1) x < 8/9
LT(8/9) + y < 1 ? Insufficient because y could be any number
2) y < 1/8
x + LT(1/8) < 1 ? Insufficient because x could be any number
3) Combined:
LT(8/9) + LT(1/8) < 1?
LT(64/72) + LT(9/72) < 1?
LT(73/72) < 1? [Note that 73/72 must be a number greater than 1]
1) and 2) Combined is insufficinet to answer because LT(73/72) could be greater than 1 or less than 1.
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