CSS General Abilities Topic 3 MCQ's Test

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

• 100 A
• 110 B
• 120 C
• 130 D

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

In Δ ABC, ∠ A = 30^o , a = 6, and c = 8. Which of the following must be true ?

• 0^o < ∠C < 90^o A
• 90^o < ∠C < 180^o B
• 45^o < ∠C < 135^o C
• 0^o < ∠C < 45^o or 130^o < ∠C < 180^o D

• 24 A
• 32 B
• 40 C
• 48 D
• 60 E

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

• 120^o A
• 52^o B
• 78^o C
• 130^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

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

• 100 A
• 110 B
• 120 C
• 130 D

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

• Supplementary A
• Complementary B
• Equal C
• Unequal D

• 5√2 A
• 10 B
• 11 C
• 13 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

• 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

• 8 A
• 20 B
• 8π C
• 20π D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

In circle of radius 5 cm, AB and AC are two equal chords such that AB = AC = 6 cm. What is the length of the chord BC ?

• 9.6 cm A
• 11 cm B
• 12 cm C
• 9 cm D

• 30 A
• 36 B
• 45 C
• 54 D

• 75 A
• 90 B
• 100 C
• 105 D