CSS General Abilities Topic 3 MCQ's Test

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

• 20 A
• 30 B
• 40 C
• 50 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

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

• 8 A
• 20 B
• 8π C
• 20π D

• 5√2 A
• 10 B
• 11 C
• 13 D

• 19 + 5 √2 A
• 28 B
• 17 + √185 C
• 32 D

• 15 A
• 30 B
• 45 C
• 60 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

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 that is inscribed in a square of area ?

• π/4 A
• π/2 B
• π C
• π√2 D

• 18 A
• 27 B
• 36 C
• 45 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

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

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

• 45^o A
• 60^o B
• 75^o C
• 90^o D

• 30 A
• 36 B
• 45 C
• 54 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

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

What is the measure of the angle formed by the minute and hour hands of a clock at 1:50?

• 90^o A
• 95^o B
• 105^o C
• 115^o D