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# The variables a and b represent the hundreds digits

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Manager
Joined: 17 Jun 2018
Posts: 52
Schools: IMD '20
GPA: 2.84
WE: Engineering (Real Estate)
The variables a and b represent the hundreds digits  [#permalink]

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22 Feb 2019, 11:27
3
00:00

Difficulty:

75% (hard)

Question Stats:

47% (01:51) correct 53% (01:46) wrong based on 45 sessions

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The variables a and b represent the hundreds digits of the two numbers in the inequality 1a35 < 1b45. What is the value of 1a35 ?

1) a ≤ b < 2

2) 2 – (a + b) > 0
Manager
Joined: 27 Jun 2015
Posts: 54
GRE 1: Q158 V143
Re: The variables a and b represent the hundreds digits  [#permalink]

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22 Feb 2019, 11:53
From statement 1----
a<2,b<2 and a=b or a<b
Now, a and b can have values 0,1.Either both a and b equal to 1 or a and b both equal to zero,Thus statement 1 is insuffecient.

From statement 2 ---
a+b<2 thus combinations whicg satisfy this are
a=0 and b=1
a=0 and b=0
a=1 and b=0 will not be a valid condition as it will violate the equality.
Thus from statement 2 we get a=0 in every condition

Thus statement 2 is suffecient

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Intern
Joined: 19 Jan 2019
Posts: 6
Concentration: Marketing, Entrepreneurship
GMAT 1: 740 Q50 V41
WE: Research (Telecommunications)
The variables a and b represent the hundreds digits  [#permalink]

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24 Feb 2019, 23:45
In the first Statement :
For any value of b other than 1 the equality conditions do not meet. Thus, Ans should have been D.
The variables a and b represent the hundreds digits   [#permalink] 24 Feb 2019, 23:45
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