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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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.

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.....

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

(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

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 ?

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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ok thanks Bunuel for letting me know. I wasn't aware of the mechanism to allocate the difficulty level to a question.

A and B both share the same sign, i.e. both can be positive or both can be negative.

So both possibilities are there A>B OR B>A

Hence 1 is not sufficient

2 is not sufficient, obviously

Hence E