CSS General Abilities Topic 3 MCQ's Test

• 15 A
• 30 B
• 45 C
• 60 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

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

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

• 6.9 cm A
• 9.6 cm B
• 3.9 cm C
• 9.3 cm D

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

• 10 A
• 20 B
• 10π C
• 20π D

Find the length of the longer diagonal of a parallelogram if the sides are 6 inches and 8 inches and the smaller angle is 60^o.

• 8 A
• 11 B
• 12 C
• 7 D

• x = ∞ + β + γ A
• x + β = ∞ + γ B
• x + γ = β + ∞ C
• x + ∞ = β + γ D

• 35^o A
• 45^o B
• 55^o C
• 65^o 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

• 15 A
• 30 B
• 45 C
• 54 D

• 60^o A
• 65^o B
• 75^o C
• 70^o D

• bc/b² + c² A
• b² + c³/bc B
• √b² + c²/bc C
• bc/√b² + c² D

• 100 A
• 110 B
• 120 C
• 130 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

• ∠ A + 180^o A
• 180^o - ∠ A B
• 1/2 ∠BAC C
• ∠A + 90^o D

• 48 A
• 48 + 12 √2 B
• 48 + 12√3 C
• 60 D

If the difference between the measures of the two acute angles of a right triangle is 20^o , what is the measure, in degrees, of the smaller one ?

• 20^o A
• 35^o B
• 45^o C
• 55^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

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