CSS General Abilities Topic 3 MCQ's Test

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

The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of square. If the area of the square is 45, what is the area of the rectangle ?

• 20 A
• 25 B
• 45 C
• 50 D
• 70 E

• 47 A
• 74 B
• 90 C
• 106 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

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

Given the following data, which can form two triangles ?

i. ∠C = 30o, c = 8, b = 12

ii. ∠B = 45o, a = 12√2, b = 15√2

iii. ∠C = 60^o , b = 12, c = 5√3

• only 1 A
• only 2 B
• only 3 C
• only 1 and 2 D

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

• 90^o A
• 120^o B
• 60^o C
• 100^o 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

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

• 10 A
• 20 B
• 10π C
• 20π D

• 95^o A
• 70^o B
• 35^o C
• 85^o D

If the measures of the angels of a triangle are in the ratio of 1 : 2 : 3, what is the ratio of the length of the smallest side of the triangle to the length of the longest side of the triangle?

• 1 : 2 A
• 1 : 3 B
• 1 : 5 C
• 2 : 3 D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

• 18 A
• 72 B
• 18√3 C
• 36√3 D
• 36√2 E

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

• 3 A
• 4.5 B
• 6 C
• 7.5 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

• 30^o A
• 40^o B
• 50^o C
• None of these D

• 75 A
• 90 B
• 100 C
• 105 D

• 30^o A
• 20^o B
• 60^o C
• 45^o D