It is currently 14 Nov 2018, 22:18

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# a and b are both > 0 and < 1

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 4876
Followers: 74

Kudos [?]: 971 [0], given: 4479

a and b are both > 0 and < 1 [#permalink]  22 Aug 2018, 08:39
Expert's post
00:00

Question Stats:

100% (00:37) correct 0% (00:00) wrong based on 10 sessions
a and b are both > 0 and < 1

 Quantity A Quantity B $$a^2 + b^2$$ $$a + b$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

_________________
Director
Joined: 20 Apr 2016
Posts: 743
Followers: 6

Kudos [?]: 496 [1] , given: 86

Re: a and b are both > 0 and < 1 [#permalink]  29 Aug 2018, 04:08
1
KUDOS
Carcass wrote:
a and b are both > 0 and < 1

 Quantity A Quantity B $$a^2 + b^2$$ $$a + b$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

Since,
0 < a,b < 1

i.e they are positive fraction.

without calculation we can see that QTY A is addition to the square of each fraction , whereas QTY B is addition to each number

we know if the fraction is squared their value decreases the original value

i.e for example $$(\frac{1}{2})^2 < \frac{1}{2}$$

So QTY A < QTY B
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Re: a and b are both > 0 and < 1   [#permalink] 29 Aug 2018, 04:08
Display posts from previous: Sort by