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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If a,b and x are integers greater than zero  Question banks Downloads My Bookmarks Reviews Important topics
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Intern Joined: 15 Sep 2017
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If a,b and x are integers greater than zero [#permalink] 00:00

Question Stats: 66% (01:16) correct 33% (01:09) wrong based on 3 sessions
If a, b and x are integers greater than zero, then which of the following must be greater than $$\frac{a}{a+b}$$?

A)$$\frac{a+x}{a+b+x}$$

B)$$\frac{a-x}{a+b+x}$$

C)$$\frac{2a}{2a+2b+x}$$

D)$$(\frac{a}{a+b})^{2}$$

E)$$\frac{a-1}{a+b-1}$$
[Reveal] Spoiler: OA Director Joined: 20 Apr 2016
Posts: 864
WE: Engineering (Energy and Utilities)
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Kudos [?]: 645  , given: 141

Re: If a,b and x are integers greater than zero [#permalink]
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AchyuthReddy wrote:
If a, b and x are integers greater than zero, then which of the following must be greater than $$\frac{a}{a+b}$$?

A)$$\frac{a+x}{a+b+x}$$

B)$$\frac{a-x}{a+b+x}$$

C)$$\frac{2a}{2a+2b+x}$$

D)$$(\frac{a}{a+b})^{2}$$

E)$$\frac{a-1}{a+b-1}$$

As it is mentioned
a, b and x are integers greater than zero

so a,b,x can be equal, consecutive numbers or any other possible value matching the criteria.

Now we can glance down straight to the answer choice we can eliminate option B, D and E. Option A is the possible contender.

Option B : if x is subtracted from numerator than the value will be < $$\frac{a}{a+b}$$
Option D : we are squaring the value but remember we are also squaring the denominator so the value will be < $$\frac{a}{a+b}$$
Option E: Again if 1` is subtracted it will only reduce the value so it will always be < $$\frac{a}{a+b}$$

Now for option C:: Let dig some value such as all numbers are considered equal, after solving it < $$\frac{a}{a+b}$$

So only option left is A, we can put some value such as a = b =c = x =1, or any integer value greater than 1, it will always be > $$\frac{a}{a+b}$$
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Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html Re: If a,b and x are integers greater than zero   [#permalink] 12 Sep 2018, 19:09
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