CSS General Abilities Topic 3 MCQ's Test

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

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

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

• 18 A
• 24 B
• 12 + 12 √3 C
• 18 + 6 √3 D
• 24√2 E

• 8 A
• 20 B
• 8π C
• 20π 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

• 9 A
• 18 B
• 27 C
• 36 D

If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the length of the smallest side of the triangle is 10, what is the length of the longest side ?

• 10√2 A
• 10√3 B
• 15 C
• 20 D

• 4 cm, 7 cm and 3 cm A
• 7 cm, 5 cm and 2 cm B
• 5 cm, 4 cm and 3 cm C
• 4 cm, 5 cm and 2 cm D

In a Δ ABC, if 2 ∠ A = 3 ∠ B = 6 ∠ C, then ∠ A is equal to

• 60^o A
• 30^o B
• 90^o C
• 120^o D

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

• 120^o A
• 52^o B
• 78^o C
• 130^o D

• 108 A
• 54+72√2 B
• 54+72√3 C
• 198 D

• 20 A
• 30 B
• 40 C
• 50 D

• 100^o A
• 80^o B
• 60^o C
• 70^o D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

What is the area of a circle whose circumference is π/2 ?

• π/16 A
• π/4 B
• π/2 C
• π D

• 18 A
• 27 B
• 36 C
• 45 D

A, B, C are the three angles of a Δ . If A - B = 15o and B - C = 30o, then ∠ A is equal to

• 65^o A
• 80^o B
• 75^o C
• 85^o D

If the length of a rectangle is 4 times its width, and if its area is 144, what is the perimeter ?

• 6 A
• 24 B
• 30 C
• 60 D
• 96 E