CSS General Abilities Topic 3 MCQ's Test

An angle is equal to one-third of its supplement. Its measure is equal to

• 40^o A
• 50^o B
• 45^o C
• 55^o 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

• 100 A
• 110 B
• 120 C
• 130 D

• 18 A
• 27 B
• 36 C
• 45 D

• bc/b² + c² A
• b² + c³/bc B
• √b² + c²/bc C
• bc/√b² + c² D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 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

• 8 A
• 20 B
• 8π C
• 40π 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

• 5√2 A
• 10 B
• 11 C
• 13 D

• 18^o A
• 36^o B
• 45^o C
• 72^o 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

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

What is the area of an equilateral triangle whose altitude is 6 ?

• 18 A
• 12√3 B
• 18√3 C
• 36 D

In ΔABC, D and E are the mid-points of AB and AC, respectively. Find the ratio of the areas of Δ ADE and Δ ABC.

• 1/2 A
• 1/4 B
• 3/4 C
• 1/8 D

What is the circumference of a circle whose area is 100π ?

• 10 A
• 20 B
• 10π C
• 20π D

The lengths of the sides of triangle are 3, 5, and x. How many possible values of x are there, if x must be an integer ?

• 1 A
• 5 B
• 7 C
• 8 D

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

• π/4 A
• π/2 B
• π C
• 2π D

• 90^o A
• 75^o B
• 80^o C
• 110^o D

• 9 A
• 18 B
• 27 C
• 36 D