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If a is greater than 3/4 of b, is a less than 40?

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Joined: 02 Sep 2009
Posts: 49300
If a is greater than 3/4 of b, is a less than 40?  [#permalink]

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New post 28 Mar 2017, 02:57
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

59% (01:23) correct 41% (01:14) wrong based on 35 sessions

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Joined: 20 Jul 2015
Posts: 15
Re: If a is greater than 3/4 of b, is a less than 40?  [#permalink]

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New post 28 Mar 2017, 03:29
Bunuel wrote:
If a is greater than 3/4 of b, is a less than 40?

(1) b < 50
(2) a is a prime number.



ok
here is my take

given:- 4a>3b.....

(1) let b= 49.9
then 4a> 3*49.9
a> 3*49.9/4
a>37.425

thus if a = 38 then yes a<40 but
if a=41 then no a>40

insuff

(2) if a= 2 then yes a<40
if a =41 then no a>40
insuff

combining we get a is prime number ,which is greater than 37
thus a>40
sufficient

Answer must be C
Re: If a is greater than 3/4 of b, is a less than 40? &nbs [#permalink] 28 Mar 2017, 03:29
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