GMAT Math

nordeend wrote:So you might not be able to read that...If you have a deck of cards (all the cards represent one positive integer), one is picked then multiplied by the next larger integer and the possible products are between 15 and 200, then what are the least and greatest cards?

a) 3 and 15
b) 3 and 20
c) 4 and 13
d) 4 and 14
e) 5 and 14

Let's work with the answer choices.

What's the SMALLEST number?

Try 3:
(3)(3+1) = 12
NO GOOD. The product must be greater than 15

Try 4:
(4)(4+1) = 20
GREAT. The product is greater than 15

So, the SMALLEST value is 4.

ELIMINATE answer choices A, B and E


What's the BIGGEST number?

Try 13:
(13)(13+1) = 182
GOOD. The product is less than 200

Try 14:
(14)(14+1) = 210
NO GOOD. The product is NOT less than 200
ELIMINATE D

Answer: C

Cheers,
Brent


So, the SMALLEST value is 4.

ELIMINATE answer choices A, B and E

Hi nordeend,

Since the answers to this question are numbers, I'm going to TEST THE ANSWERS.

We're told that, after drawing a card, you must multiply the number on the card by the next larger integer and end up with a number between 15 and 200. We're asked for the smallest and largest possible numbers on the cards.

IF the number was 3, then...
3(4) = 12, which is NOT between 15 and 200. Eliminate A and B.

IF the number was 4, then...
4(5) = 20, which IS between 15 and 200. Eliminate E.

Now, on to the biggest number:

IF the number was 13, then...
13(14) = 182
IF the number was 14, then...
14(15) = 210

So, 14 is TOO BIG.

Final Answer: C

GMAT assassins aren't born, they're made,
Rich