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by gmat20092009 » Sun Jul 19, 2009 6:44 am
What is the ratio of the area of a TV screen with a diagonal of 18'' to that of a screen with a diagonal of 15''?

The ratio of width to length is the same for both screens.
The width of the 18''-screen is 20% greater than that of the 15''-screen.
(C) 2008 GMAT Club - [t]m10#5[/t]

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
Statement (1) by itself is sufficient. S1 says that the two rectangles are similar. Thus, the ratio of areas .

Statement (2) by itself is sufficient. From S2 it also follows that the rectangles are similar. Ratio of diagonals ratio of widths.

The correct answer is D.

How cum the ans is D.From A we can find but from B how can we get a similar triangle.some body pl explain
Source: — Data Sufficiency |

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by rahulmehra13 » Fri Jul 24, 2009 8:37 am
Stmnt 2:
The width of the 18''-screen is 20% greater than that of the 15''-screen

suppose width of 15" screen = x
=> width of 18" screen = 1.2x ( x + 20x/100)

also, 18 = 1.2 * 15

Now we have two sides in same ratio and one equal angle, therefore similar :)