CSS General Abilities Topic 3 MCQ's Test

In Δ ABC, ∠ A = 30^o , b = 8, and a = 4√2 . Angle C could equal

• 45^o A
• 135^o B
• 60^o C
• 15^o D

• 24 A
• 32 B
• 40 C
• 48 D
• 60 E

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

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

• 18 A
• 27 B
• 36 C
• 45 D

A square of area 2 is inscribed in a circle. What is the area of the circle ?

• π/4 A
• π/2 B
• π C
• π√2 D

Find the measure of an angle, if six times its complement is 12^o less than twice its supplement.

• 48^o A
• 96^o B
• 24^o C
• 58^o D

• 20^o A
• 30^o B
• 45^o C
• 45^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

• a = 30^o , b = 40^o A
• a = 73^o , b = 75^o B
• a = 100^o , b = 0^o C
• None of these D

• 6 A
• 12 B
• 6π C
• 12π D

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

• BC < CA < CD A
• BC > CA > CA B
• BC < CA, CA > CD C
• BC > CA, CA < CD D

• 1/2 A
• 1 B
• √2 C
• 2 D
• 2√2 E

• 25/81 A
• 25/16 B
• 16/25 C
• 16/81 D

• 90^o A
• 120^o B
• 60^o C
• 100^o D

• 6 A
• 11 B
• 22 C
• 30 D

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

The circumference of a circle of aπ units, and the area of the circle is bπ square units. If a = b, what is the radius of the circle ?

• 1 A
• 2 B
• 3 C
• π D

• a > 4√3 A
• a > 8 B
• a = 4√3 C
• 4√3 < a < 8 D