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09 Jun 2021, 02:00
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A
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Difficulty:
25%
(medium)
Question Stats:
72% (01:40) correct
28%
(01:51)
wrong
based on 143
sessions
History
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Is x closer to 30 than to 60 ?
(1) 38 − x > x − 32
(2) |x − 45| < 15
(1) 38 − x > x − 32
(2) |x − 45| < 15
Bunuel
1)\(38 - x > x - 32\)
\(-2x > -70\)
\( 2x < 70\)
\(x < 35\), x is closer to 30 than to 60 - Sufficient!
2)|x - 45| < 15
-15 < x - 45 < 15
Adding +45 throughout:
30 < x < 60
Case1: x = 59, which is closer to 60
Case2: x = 32, which is closer to 30 - Not Sufficient!
IMO, (A)
09 Jun 2021, 03:02
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Solving statement 1;
We get, x < 35
Clearly it’s near to 30, SUFFICIENT
Solving statement 2;
We get two equations
x < 60 AND x > 30
Value of x can be anything between 30 and 60, so we don’t know whether it will be near to 30. INSUFFICIENT
Hence, answer is A
Posted from my mobile device
We get, x < 35
Clearly it’s near to 30, SUFFICIENT
Solving statement 2;
We get two equations
x < 60 AND x > 30
Value of x can be anything between 30 and 60, so we don’t know whether it will be near to 30. INSUFFICIENT
Hence, answer is A
Posted from my mobile device
