GMAT Quantitative Reasoning Practice Test 1

Question : 83 of 100

Marks: +1, -0

The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the number of airplanes in a row is no less than 4 and no more than 30, how many
different combinations of rectangular shapes are possible?

4 .
5 .
6 .
8 .
10 .

Validate

Solution:

Use the factors of 120 are:

1 × 120,2 × 60,3 × 40,10 × 12,4 × 30,5 × 24,6 × 20

and

8 × 15

.
We are looking for combinations of (row

\times

column) that are all between 8 and 30 .
The possibilities are:

8 × 15,15 × 8,4 × 30,30 × 4,5 × 24,24 × 5,6 × 20,20 × 6,10 × 12

and

12 × 10

.
That is 10 possibilities total.

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