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Source: — Data Sufficiency |
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by pm.mba11 » Sun Dec 05, 2010 9:29 am
Answer should be (C).

1. If a number is factor of square of other number then same number will also be factor of other number.

In simple words, if A is factor of square of B then A is also factor of B.

ex. B = 60
square of B = 3600
A = 30

So 30 is factor of both 60 and 3600.

2. If a number is factor of twice of other number then same number will also be factor of other number.

In simple words, if A is factor of twice of B then A is also factor of B.

ex. B = 60
twice of B = 120
A = 30

So 30 is factor of both 60 and 120.

Hence choose (C)
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by goyalsau » Sun Dec 05, 2010 9:34 am
crackthegmat2011 wrote:If x is integer, whether 30 is a factor of x ?

1. 30 is a factor of square of x.
2. 30 is a factor of 2x.

30 = 2 * 3 * 5 Rephrase The question Whether 2,3 and 5 all factors of x.


1. 30 is a factor of square of x.
For the square of a Number to have 30 as a factor, It must have at least one 2 , 3 and 5 in it,

So sufficient.

2. 30 is a factor of 2x

As 30 is a factor of 2x, We are are sure about 3 and 5 But May not about 2, So 2 can be factor of x or not be a factor of x.

So insufficient.

Answer should BE A
Last edited by goyalsau on Sun Dec 05, 2010 9:45 am, edited 1 time in total.
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by pm.mba11 » Sun Dec 05, 2010 9:40 am
goyalsau wrote:
2. 30 is a factor of 2x

As 2x is a factor of 30,
Check the words...

30 is factor of 2x. Not 2x is factor of 30. So 2nd statement is also sufficient.
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by goyalsau » Sun Dec 05, 2010 9:46 am
pm.mba11 wrote:
goyalsau wrote:
2. 30 is a factor of 2x

As 2x is a factor of 30,
Check the words...

30 is factor of 2x. Not 2x is factor of 30. So 2nd statement is also sufficient.
Thanks for checking But I still think answer should be A,
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by beat_gmat_09 » Sun Dec 05, 2010 9:54 am
pm.mba11 wrote:
goyalsau wrote:
2. 30 is a factor of 2x

As 2x is a factor of 30,
Check the words...

30 is factor of 2x. Not 2x is factor of 30. So 2nd statement is also sufficient.
x can be 15, 30 is factor of 30 but 30 is not a factor of 15.
Statement B is not sufficient.
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by pm.mba11 » Sun Dec 05, 2010 9:58 am
beat_gmat_09 wrote:
pm.mba11 wrote:
goyalsau wrote:
2. 30 is a factor of 2x

As 2x is a factor of 30,
Check the words...

30 is factor of 2x. Not 2x is factor of 30. So 2nd statement is also sufficient.
x can be 15, 30 is factor of 30 but 30 is not a factor of 15.
Statement B is not sufficient.
Hmm.. correct. Answer should be (A).
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by neilcao » Mon Dec 06, 2010 3:17 am
Sorry this way do you mean each individual will be sufficient, then it is not C?

pm.mba11 wrote:Answer should be (C).

1. If a number is factor of square of other number then same number will also be factor of other number.

In simple words, if A is factor of square of B then A is also factor of B.

ex. B = 60
square of B = 3600
A = 30

So 30 is factor of both 60 and 3600.

2. If a number is factor of twice of other number then same number will also be factor of other number.

In simple words, if A is factor of twice of B then A is also factor of B.

ex. B = 60
twice of B = 120
A = 30

So 30 is factor of both 60 and 120.

Hence choose (C)
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by diebeatsthegmat » Mon Dec 06, 2010 10:36 am
crackthegmat2011 wrote:If x is integer, whether 30 is a factor of x ?

1. 30 is a factor of square of x.
2. 30 is a factor of 2x.
]

statement 1 is sufficient clearly
statement 2 is not sufficient; 2x:30 =x:15 so x could be 15,30, 45 blah blah blah
the answer should be A
whats the answer?
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