CAT 1995 — QA Question 50
Directions for next 4 questions: Answer the questions based on the following information.
le(x, y) = Least of (x, y)
mo(x) = |x|
me(x, y) = Maximum of (x, y)
Which one of the following cannot be the ratio of angles in a right-angled triangle?
Answer & solution
- A
1 : 2 : 3
- B
1 : 1 : 2
1 : 3 : 6
- D
None of these
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).