CSS General Abilities Topic 3 MCQ's Test

• y = 60 - 2x A
• y = 2x B
• x + y = 90 C
• y = 180 - 3x D

• 180^o A
• 90^o B
• 360^o C
• 270^o 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

Two sides of a right triangle are 15 and 17. Which of the following could be the length of the third side ?

i. 8

ii. 19

iii. √514

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

• 45^o A
• 60^o B
• 75^o C
• 90^o D

An angle is equal to one-third of its supplement. Its measure is equal to

• 40^o A
• 50^o B
• 45^o C
• 55^o D

• 15.4 A
• 48.6 B
• 71.4 C
• 93.7 D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

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

• 30^o A
• 20^o B
• 60^o C
• 45^o 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

• 120^o A
• 52^o B
• 78^o C
• 130^o D

• 6 A
• 12 B
• 6π C
• 12π D

• 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

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

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

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

• 18 A
• 12√3 B
• 18√3 C
• 36 D

Two sides of a right triangle are 12 and 13, which of the following could be the length of the third side ?

i. 5

ii. 11

iii. √313

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

• 60^o A
• 65^o B
• 75^o C
• 70^o D

A 5 × 12 rectangle is inscribed in a circle. What is the radius of the circle ?

• 6.5 A
• 7 B
• 8.5 C
• 13 D