2 in 1

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2 in 1

by treker » Mon Sep 14, 2009 8:28 am
1. Four dollar amounts, w, x, y, and z, were invested in a business. Which amount was greatest'?

(1) y < z < x
(2) x was 25 percent of the total of the four investments.


2. If n is a positive integer, is n divisible by at least six positive integers?
(1) n is the product of three different prime numbers.
(2) n = 30
Source: — Data Sufficiency |

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by grockit_jake » Mon Sep 14, 2009 6:03 pm
1. Four dollar amounts, w, x, y, and z, were invested in a business. Which amount was greatest'?

(1) y < z < x
(2) x was 25 percent of the total of the four investments.

From (1) the remaining question we have to ask ourselves is if w>x.

From (2), we know that x = 25% and z and y are both BELOW 25%. Since the 4 have to add up to 100%, that means that the remaining variable (w) has to be more than 25%.

BOTH TOGETHER (C).
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by grockit_jake » Mon Sep 14, 2009 6:08 pm
2. If n is a positive integer, is n divisible by at least six positive integers?
(1) n is the product of three different prime numbers.
(2) n = 30

For (1): Take an example. Say n = 3*5*7. This means n is divisible by 3, 5, 7, 15, 21, 35.... It may help to plug in for this question. Sufficient.

For (2): You can break this into 2*3*5, which is the exact situation as (1), so your answer must the same.

D. Each.
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