CAT 1995 — QA Question 50

The largest angle in a right-angled triangle is 90º, which corresponds to the highest part of the ratio.
Let us evaluate each option.

Option (a): Angles will be x, 2x and 3x
∴ x + 2x + 3x = 180°
⇒ x = 30° and 3x = 90°
Hence, option (a) is correct.

Option (b): Angles will be x, x and 2x
∴ x + x + 2x = 180°
⇒ x = 45° and 2x = 45°
Hence, option (b) is correct.

Option (c): Angles will be x, 3x and 6x
∴ x + 3x + 6x = 180°
⇒ x = 18° and neither 3x nor 6x = 90°
Hence, option (c) is not a right triangle.

Hence, option (c).