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# If there are x students in a class and x>90, what is x?

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Math Expert
Joined: 02 Aug 2009
Posts: 7213
If there are x students in a class and x>90, what is x?  [#permalink]

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16 Nov 2017, 08:32
1
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:21) correct 30% (01:41) wrong based on 57 sessions

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If there are x students in a class and x>90, what is x?

(1) Sum of digits of x is divisible by 9
(2) x+4 is a three-digit number.

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Joined: 10 Oct 2017
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Concentration: Entrepreneurship, Economics
GMAT 1: 700 Q47 V39
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Re: If there are x students in a class and x>90, what is x?  [#permalink]

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16 Nov 2017, 09:01
(1): x could be 90, 99, or any # greater than 90 divisible by 9. Therefore, we don't know the specific value for x... INSUFFICIENT.

(2): The lowest possible positive three digit number is 100. 100-4=96. However, x could be any number above 96 and below 1000-4=996. No specific value for x... INSUFFICIENT.

(1) and (2): Find a # between 96 and 996 whose digits are divisible by 9. Ex. 99, 108, etc. Therefore, we don't know the specific value for x... INSUFFICIENT.

Math Expert
Joined: 02 Aug 2009
Posts: 7213
Re: If there are x students in a class and x>90, what is x?  [#permalink]

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27 Nov 2017, 17:50
chetan2u wrote:
If there are x students in a class and x>90, what is x?

(1) Sum of digits of x is divisible by 9
(2) x+4 is a three-digit number.

(1) Sum of digits of x is divisible by 9
x>90 and multiple of 9..
x can be 99 or 108 or 9999
insuff

(2) x+4 is a three-digit number.
this means least value of x is ..
x+4=100....x=96
max value .... x+4=999...x=995
various possiblities
Insuff

combined

x can be 99,108..till 990
insuff

E
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Re: If there are x students in a class and x>90, what is x? &nbs [#permalink] 27 Nov 2017, 17:50
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