CSS General Abilities Topic 3 MCQ's Test

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

• 8 A
• 20 B
• 8π C
• 40π D

• 60 A
• 90 B
• 105 C
• 120 D

• BC < CA < CD A
• BC > CA > CA B
• BC < CA, CA > CD C
• BC > CA, CA < CD D

• 135^o A
• 125^o B
• 115^o C
• 110^o D

In Δ ABC, ∠ A = 30^o , b = 8, and a = 4√2 . Angle C could equal

• 45^o A
• 135^o B
• 60^o C
• 15^o D

• 270^o A
• 300^o B
• 360^o C
• 330^o D

How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle ?

• 8 A
• 9 B
• 10 C
• 12 D
• 18 E

• 45^o A
• 60^o B
• 75^o C
• 90^o D

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

If the length of a rectangle is 4 times its width, and if its area is 144, what is the perimeter ?

• 6 A
• 24 B
• 30 C
• 60 D
• 96 E

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 an equilateral triangle whose altitude is 6 ?

• 18 A
• 12√3 B
• 18√3 C
• 36 D

The complement of an angle exceeds the angle by 60^o. Then the angle is equal to

• 25^o A
• 30^o B
• 15^o C
• 35^o D

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

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

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

• 6 A
• 11 B
• 22 C
• 30 D

• 18 A
• 27 B
• 36 C
• 45 D