GMAT Quantitative Reasoning Practice Test 5

Question : 8 of 100

Marks: +1, -0

Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?

$20; 8$
$30; 9$
$15; 6$
$10; 5$
$22; 10$

Validate

Solution:

First we can eliminate answers where the number of rooms can be divided by the number of people, such as answer D.
We are looking for an answer that if you subtract 1 from the right and add 2 to the left, the left number will be divisible by the right number. The only answer that fits this description is answer

30 ; 9 .(30+2) {/} 8=4

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