CSS General Abilities Topic 3 MCQ's Test

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

If A is the area and C is the circumference of a circle, which of the following is an expression for C in terms of A ?

• 2√/A A
• 2π/√A B
• 2√A/π C
• 2√πA D

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

• π/16 A
• π/4 B
• π/2 C
• π D

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

• 3 A
• 2 + 3√2 B
• 3 + 2√2 C
• 5 D
• 8 E

• 2/3 A
• 1/1 B
• 3/2 C
• 2/1 D

The complement of 30^o 20' is

• 69^o 40' A
• 59^o 40' B
• 35^o 80' C
• 159^o 40' D

• 180^o A
• 90^o B
• 360^o C
• 270^o D

• 15 A
• 30 B
• 45 C
• 54 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

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

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

• 100 A
• 110 B
• 120 C
• 130 D

A 5 × 12 rectangle is inscribed in a circle. What is the radius of the circle ?

• 6.5 A
• 7 B
• 8.5 C
• 13 D

• 18 A
• 27 B
• 36 C
• 45 D

• 19 + 5 √2 A
• 28 B
• 17 + √185 C
• 32 D

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

• π/4 A
• π/2 B
• π C
• 2π 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

• 48 A
• 48 + 12 √2 B
• 48 + 12√3 C
• 60 D

• 5 cm A
• 4 cm B
• 3 cm C
• 2 cm D