CSS General Abilities Topic 3 MCQ's Test

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

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

• 18 A
• 27 B
• 36 C
• 45 D

• x = ∞ + β + γ A
• x + β = ∞ + γ B
• x + γ = β + ∞ C
• x + ∞ = β + γ D

• 60^o A
• 65^o B
• 75^o C
• 70^o D

• 40^o A
• 60^o B
• 30^o C
• 20^o 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

• 98 A
• 100 B
• 102 C
• 104 D
• 106 E

• 30^o A
• 20^o B
• 60^o C
• 45^o D

• 47 A
• 74 B
• 90 C
• 106 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 whose circumference is π ?

• π/4 A
• π/2 B
• π C
• 2π D

• 80^o A
• 90^o B
• 100^o C
• None of these D

• 6 A
• 12 B
• 6π C
• 12π D

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

• 180 cm2 A
• 240 cm2 B
• 120 cm2 C
• 150 cm2 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

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

• 20^o A
• 30^o B
• 45^o C
• 45^o 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