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Is the three-digit number n less than 550? 1) The product of

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Is the three-digit number n less than 550? 1) The product of [#permalink] New post 27 Sep 2007, 15:34
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C
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Is the three-digit number n less than 550?

1) The product of the digits in n is 30
2) The sum of the digits in n is 10
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 [#permalink] New post 27 Sep 2007, 15:44
A is sufficient

We know that 30 can be divided into 5.2.3 523 is the largest number we can make of this, sufficient

sum of the three numbers is 10 721 is the largest number we can make
insufficient

A
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Re: MGMAT DS Challenge Question [#permalink] New post 27 Sep 2007, 16:04
done_gre_now_gmat wrote:
Is the three-digit number n less than 550?

1) The product of the digits in n is 30
2) The sum of the digits in n is 10


A

(1) 30 = 2*3*5
The largest n can be is 532
SUFFICIENT

(2) 8+1+1 = 10
n can be 811
n can be 118
INSUFFICIENT
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 [#permalink] New post 27 Sep 2007, 18:59
I made the same mistake. :(

The largest number that also satisfies Statement I is :

651 ==> 6x5x1 = 30 ( 1 is also a factor of 30, so is 6 )

So, we end up with YES and NO for Statement I - INSUFF

It's not A.
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 [#permalink] New post 27 Sep 2007, 19:09
Statement I:
Insufficient
3*2*5=30
6*5*1=30

Statement II:
Insufficient
3+2+5=10
6+3+1=10

combined, C.
Digits have to 3,2,and 5 which is < 550.
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Re: MGMAT DS Challenge Question [#permalink] New post 27 Sep 2007, 19:31
done_gre_now_gmat wrote:
Is the three-digit number n less than 550?

1) The product of the digits in n is 30
2) The sum of the digits in n is 10


1 - 5*6*1 or 5*2*3
560 or 650 - INSUFF
2. 811 or 118 INSUFF

C - 5+6 11 is out so must be 2,3, and 5 in any order < 550.

C
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Re: MGMAT DS Challenge Question [#permalink] New post 27 Sep 2007, 20:57
Fistail wrote:
done_gre_now_gmat wrote:
Is the three-digit number n less than 550?

1) The product of the digits in n is 30
2) The sum of the digits in n is 10


A is suff.


hmmmmm. wat a trap?


C tooooooooooooooooooooo.
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Re: MGMAT DS Challenge Question [#permalink] New post 27 Sep 2007, 21:59
done_gre_now_gmat wrote:
Is the three-digit number n less than 550?

1) The product of the digits in n is 30
2) The sum of the digits in n is 10


S1:

Insuff.

Could be 523 325 or 561...


S2:

Could be 631 or 541 Insuff.


Together Only 523 holds

Answer is C
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Re: MGMAT DS Challenge Question [#permalink] New post 27 Sep 2007, 23:51
done_gre_now_gmat wrote:
Is the three-digit number n less than 550?

1) The product of the digits in n is 30
2) The sum of the digits in n is 10


I'm getting C.

Stat 1:

Number could be 516; prod. = 5*1*6 =30
Number could be 615; prod = 6*1*5 = 30

Insuff.

Stat 2:

Number could be 901 or 109; insuff.

Stat 1 & 2:

Number could be 523 or 253. Point being the number has to be less than 550. We cannot have a number greater than 550 which satisfies 1 & 2.
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 [#permalink] New post 28 Sep 2007, 10:18
Confirming that OA is C.
  [#permalink] 28 Sep 2007, 10:18
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