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# Is a > b ?

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Intern
Joined: 16 Jun 2010
Posts: 2
Is a > b ?  [#permalink]

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Updated on: 03 Sep 2015, 01:11
14
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:25) correct 40% (01:11) wrong based on 429 sessions

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Is a > b ?

(1) a/b = 7/10

(2) a = 70/100*b

Originally posted by Maude on 25 Aug 2010, 01:11.
Last edited by Bunuel on 03 Sep 2015, 01:11, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Joined: 02 Apr 2010
Posts: 92
Re: Is a > b ?  [#permalink]

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25 Aug 2010, 02:41
1
This type of problem is probably solved fastest by picking numbers. The key is to think about positive and negative numbers.

Statement 1:

Cross-multiply to obtain 10*a = 7*b

This will hold true e.g. if a = 7 and b = 10 => a < b, but also if a= -7 and b = -10 => a > b. Hence, statement A is not sufficient.

Statement 2:

I assume the statement reads a = (70 / 100)*b, otherwise it would contradict the first statement. Again cross-multiple and simplify the fraction to obtain 10*a = 7*b.

The second statement doesn't provide you with any additional information. Thus, E is the solution to this problem.
Manager
Joined: 15 Apr 2010
Posts: 156
Re: Is a > b ?  [#permalink]

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25 Aug 2010, 02:42
1
both statements essentially say the same thing.. ratio: a:b=7:10 => 10a=7b;

now just plug in some values to see if you can get any definitive answers:

assume a=7, b=10 or a=14, b=20 and so on.... (a< b)

but there are negative answers as well.... a=-7, b=-10 => a > b

I would go with E.....
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Joined: 02 Sep 2009
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Re: Is a > b ?  [#permalink]

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03 Sep 2015, 01:15
1
3
Maude wrote:
Is a > b ?

(1) a/b = 7/10

(2) a = 70/100*b

Notice that both statements give us the same info:

(1) a/b = 7/10
(2) a = 70/100*b --> a/b = 70/100 = 7/10.

Thus the answer is either D or E. It's not D because from a/b = 7/10 it could be that (a = 7) < (b = 10) as well as (a = -7) > (b = -10).

Answer: E.
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Is a > b ?  [#permalink]

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04 Sep 2015, 03:45
Forget conventional ways of solving math questions. In DS, Variable approach is

the easiest and quickest way to find the answer without actually solving the

problem. Remember equal number of variables and equations ensures a solution.

Is a > b ?

(1) a/b = 7/10

(2) a = 70/100*b
==> transforming the original condition and the question using variable approach method, we have 2 variables (a,b) and in order to match the number of variables and equations we need 2 equations. Since there is 1 each in 1) and 2), C is likely the answer.

Using both 1) & 2) together, the answer is yes if a=-7, b=10, while the answer is no if a=7, b=10. Since the conditions and not suffiicent. the answer is E
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Director
Joined: 02 Oct 2017
Posts: 686
Re: Is a > b ?  [#permalink]

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10 Jul 2018, 09:29
(1) a/b = 7/10

Given only ratio
If multiplied term is negative then a>b
but if multiplied term is positive then b>a

Multiple cases so insufficient

(2) a = 70/100*b

rearranging gives statement 1 only
so insufficient

E is answer

Give kudos if it helps
Manager
Joined: 18 Jun 2018
Posts: 248
Re: Is a > b ?  [#permalink]

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10 Sep 2018, 00:47
Maude wrote:
Is a > b ?

(1) a/b = 7/10

(2) a = 70/100*b

Is $$a>b \quad?$$

(1) $$\frac{a}{b} = \frac{7}{10}$$

Taking $$a = 7$$ and $$b = 10,\quad \frac{a}{b}=\frac{7}{10}$$

Is $$a>b ? : No$$ ; as $$7<10$$.

Taking $$a = - 7$$ and $$b = -10,\quad \frac{a}{b} = \frac{-7}{-10}=\frac{7}{10}$$

Is $$a>b ? : Yes$$ ; as $$-7>-10$$.

Statement $$1$$ alone is not sufficient.

(2) $$a = \frac{70}{100}*b$$

$$a = \frac{70}{100}*b$$ can be reduced to $$a = \frac{7}{10} *b$$

Taking $$a = 7$$ and $$b = 10,\quad a=\frac{7}{10}*b$$

Is $$a>b ? : No$$ ; as $$7<10$$.

Taking $$a = - 7$$ and $$b = -10,\quad a = \frac{7}{10}b$$

Is $$a>b ? : Yes$$ ; as $$-7>-10$$

Statement $$2$$ alone is not sufficient.

As Statement (1) and statement (2) are the same with only exception that in statement 1, b cannot be zero while statement 2, b can be 0.
Combining both will also be insufficient to answer: Is a > b ?
Intern
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Re: Is a > b ?  [#permalink]

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25 Feb 2020, 23:34
This does not look like a 700 level question to me at all.
Math Expert
Joined: 02 Sep 2009
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Re: Is a > b ?  [#permalink]

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25 Feb 2020, 23:49
OjhaShishir wrote:
This does not look like a 700 level question to me at all.

The difficulty level of a question is calculated automatically based on the timer stats from the users which attempted the question. Based on 371 sessions it IS a 700 question.
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Intern
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Re: Is a > b ?  [#permalink]

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26 Feb 2020, 02:18
ok thanks Bunuel for letting me know. I wasn't aware of the mechanism to allocate the difficulty level to a question.
Re: Is a > b ?   [#permalink] 26 Feb 2020, 02:18
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