CSS General Abilities Topic 3 MCQ's Test

In ΔABC, the measure of the exterior angles at vertices A and B are 145^o and 125^o, respectively. Which of the following statement about ΔABC above must be true.

i. The triangle is a right triangle.

ii. The triangle is an isosceles triangle.

iii. The triangle is a scalene triangle.

• None A
• I only B
• III only C
• I and III only D

• 180^o A
• 90^o B
• 360^o C
• 270^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

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

• π/4 A
• π/2 B
• π C
• 2π 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

• 15.4 A
• 48.6 B
• 71.4 C
• 93.7 D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

• 20^o A
• 30^o B
• 45^o C
• 45^o D

• 21 A
• 38 B
• 42 C
• 69 D

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

• 7 A
• 17 B
• 9 C
• 14 D

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

A, B, C are the three angles of a Δ . If A - B = 15o and B - C = 30o, then ∠ A is equal to

• 65^o A
• 80^o B
• 75^o C
• 85^o D

• 18^o A
• 36^o B
• 45^o C
• 72^o D

• 50^o A
• 90^o B
• 100^o C
• 120^o D

• 18 A
• 24 B
• 12 + 12 √3 C
• 18 + 6 √3 D
• 24√2 E

• 108 A
• 54+72√2 B
• 54+72√3 C
• 198 D

If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the length of the smallest side of the triangle is 10, what is the length of the longest side ?

• 10√2 A
• 10√3 B
• 15 C
• 20 D

• 18 A
• 27 B
• 30 C
• 36 D

• 47 A
• 74 B
• 90 C
• 106 D