CSS General Abilities Topic 3 MCQ's Test

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

• 2/3 A
• 1/1 B
• 3/2 C
• 2/1 D

• 120^o A
• 52^o B
• 78^o C
• 130^o D

• 3 A
• 4.5 B
• 6 C
• 7.5 D

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

The sides of a triangle are in a ratio of 4 : 5 : 6. The smallest angle is

• 82^o A
• 69^o B
• 56^o C
• 41^o D

• 30^o A
• 20^o B
• 60^o C
• 45^o 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

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 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

• 18 A
• 27 B
• 36 C
• 45 D

Find the measure of an angle, if six times its complement is 12^o less than twice its supplement.

• 48^o A
• 96^o B
• 24^o C
• 58^o D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

• 60 A
• 90 B
• 105 C
• 120 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

• 12 A
• 24 B
• 36 C
• 48 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

What is the area of a circle whose radius is the diagonal of a square whose area is 4 ?

• 2π A
• 2π√2 B
• 4π C
• 8π D

• BC < CA < CD A
• BC > CA > CA B
• BC < CA, CA > CD C
• BC > CA, CA < CD D

• 47 A
• 74 B
• 90 C
• 106 D