CSS General Abilities Topic 3 MCQ's Test

The sides of a triangle are in a ratio of 4 : 5 : 6. The smallest angle is

• 82^o A
• 69^o B
• 56^o C
• 41^o D

• 15 A
• 30 B
• 45 C
• 60 D

• y = 60 - 2x A
• y = 2x B
• x + y = 90 C
• y = 180 - 3x D

If the bisector of an angle of Δ bisects the opposite side, then the Δ is

• Scalene A
• Isosceles B
• Right triangle C
• None of these D

• 15 A
• 30 B
• 45 C
• 54 D

Two sides of a right triangle are 15 and 17. Which of the following could be the length of the third side ?

i. 8

ii. 19

iii. √514

• 1 only A
• 2 only B
• 1 and 2 C
• 1 and 3 D

If the angles of a five-sided polygon are in the ratio of 2 : 3 : 3 : 5 : 5, what is the measure of the smallest angle ?

• 20 A
• 40 B
• 60 C
• 80 D
• 90 E

• 3 A
• 4.5 B
• 6 C
• 7.5 D

• 18 A
• 72 B
• 18√3 C
• 36√3 D
• 36√2 E

• (a + b + c) = 180^o A
• 2a = 2b = c B
• a + b = 180^o - c C
• a + b = c D

• 37 A
• 43 B
• 47 C
• 53 D

The area of Δ ABC, = 24√3 , side a = 6, and side b = 16. The value of ∠ C is

• 30^o A
• 30^o or 150^o B
• 60^o C
• 60^o or 120^o D

What is the area of a circle that is inscribed in a square of area ?

• π/4 A
• π/2 B
• π C
• π√2 D

If the difference between the measures of the two acute angles of a right triangle is 20^o , what is the measure, in degrees, of the smaller one ?

• 20^o A
• 35^o B
• 45^o C
• 55^o D

• 18^o A
• 36^o B
• 45^o C
• 72^o D

• 2.25 cm A
• 4.5 cm B
• 1.25 cm C
• 2.5 cm D

• 45^o A
• 60^o B
• 75^o C
• 90^o D

The angles of triangle are in a ratio of 8 : 3 : 1. The ratio of the longest side of the triangle to the next longest side is

• √6:2 A
• 8 : 3 B
• √3:1 C
• 8 : 5 D

Find the length of the longer diagonal of a parallelogram if the sides are 6 inches and 8 inches and the smaller angle is 60^o.

• 8 A
• 11 B
• 12 C
• 7 D

• 1.5 A
• 1.75 B
• 3 C
• 2√2 D
• 3√2 E