CSS General Abilities Topic 3 MCQ's Test

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

• 40^o A
• 50^o B
• 80^o C
• 100^o D

A cyclic quadrilateral whose opposite angles are equal, is a :

• parallelogram but not a rhombus A
• rhombus B
• rectangle C
• square but not a rectangle D

• 20 A
• 30 B
• 40 C
• 50 D

What is the measure of the angle formed by the minute and hour hands of a clock at 1:50?

• 90^o A
• 95^o B
• 105^o C
• 115^o D

If one side of Δ ABC is 5, what is the smallest integer that could be the perimeter of the triangle ?

• 8 A
• 10 B
• 11 C
• 12 D

The complement of 30^o 20' is

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

• 37 A
• 43 B
• 47 C
• 53 D

• 7 A
• 17 B
• 9 C
• 14 D

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

• 10 A
• 20 B
• 10π C
• 20π D

• 20^o A
• 30^o B
• 45^o C
• 45^o D

• 360 A
• 540 B
• 720 C
• 900 D
• 1080 E

• 24 A
• 32 B
• 40 C
• 48 D
• 60 E

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

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

• 95^o A
• 70^o B
• 35^o C
• 85^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

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

• 60 A
• 90 B
• 105 C
• 120 D

• 5√2 A
• 10 B
• 11 C
• 13 D