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12 Aug 2020, 01:57
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (01:25) correct
40%
(01:17)
wrong
based on 104
sessions
History
Date
Time
Result
Not Attempted Yet
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 09 Dec 2024
Posts: 3,116
Given Kudos: 1,510
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Schools: Cranfield (A) Warwick MiM "23 (M)
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12 Aug 2020, 02:03
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ab = 3, is a > b ?
(1) b ≤ 1.5
Case 1: B = 1.5
A = 2 {A>B}
Case 2: B = -1.5
A = -2 {A<B}
(Insufficient)
(2) a ≥ 2
A = 2
B = 1.5
A = 3
B = 1
B will be smaller than A every time.
(Sufficient)
IMO B
Posted from my mobile device
(1) b ≤ 1.5
Case 1: B = 1.5
A = 2 {A>B}
Case 2: B = -1.5
A = -2 {A<B}
(Insufficient)
(2) a ≥ 2
A = 2
B = 1.5
A = 3
B = 1
B will be smaller than A every time.
(Sufficient)
IMO B
Posted from my mobile device
anthien128
Joined: 09 Jan 2011
Last visit: 19 Jun 2021
Posts: 72
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Location: Viet Nam
Concentration: Technology, Entrepreneurship
Schools: Duke '22 Schulich "22 Goizueta '22
12 Aug 2020, 02:32
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Bunuel
If ab = 3, is a > b ?
(1) b ≤ 1.5
(2) a ≥ 2
(1) b ≤ 1.5
(2) a ≥ 2
IMO B is the correct answer.
(1) Since b ≤ 1.5, b may be negative or positive number. We can solve this question by taking example.
If b is positive number then we have a = 3/b. Since 0 < b ≤ 1.5 then a ≥ 2 > 1.5 ≥ b. This is sufficient.
If b is negative number.
- For example, b = -3 then a = -1. In this case, a > b
- For example, b = -1 then a = -3. In this case, a < b
In both cases, we cannot conclude which number is bigger, a or b. Therefore (1) is INSUFFICIENT.
(2) Since b = 3/a and a ≥ 2 > 0 then b ≤ 1.5. Therefore a ≥ 2 > 1.5 ≥ b.
This option is SUFFICIENT.
