CSS General Abilities Topic 3 MCQ's Test

What is the area of an equilateral triangle whose altitude is 6 ?

• 18 A
• 12√3 B
• 18√3 C
• 36 D

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

In quadrilateral WXYZ, the measure of angle Z is 1 more than twice the average of the measures of the three angles. What is the measure of angle Z ?

• 100 A
• 105 B
• 120 C
• 135 D
• 150 E

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

• 35^o A
• 45^o B
• 55^o C
• 65^o D

If the difference between the measures of the two smaller angles of a right triangle is 8^o , what is the measure, in degrees, of the smallest angle ?

• 37 A
• 41 B
• 42 C
• 49 D

• 20^o A
• 30^o B
• 45^o C
• 45^o D

• 12 A
• 24 B
• 36 C
• 48 D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

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

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

• 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

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

• 93^o A
• 103^o B
• 83^o C
• 97^o D

• 6 A
• 12 B
• 6π C
• 12π D

• 1.5 A
• 3 B
• 2 C
• 3.6 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

• 100 A
• 110 B
• 120 C
• 130 D

The angles of triangle are in a ratio of 8 : 3 : 1. The ratio of the longest side of the triangle to the next longest side is

• √6:2 A
• 8 : 3 B
• √3:1 C
• 8 : 5 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