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

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

• 12 A
• 24 B
• 36 C
• 48 D

• 18 A
• 24 B
• 12 + 12 √3 C
• 18 + 6 √3 D
• 24√2 E

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

• 10 A
• 20 B
• 10π C
• 20π D

• 3 A
• 4.5 B
• 6 C
• 7.5 D

If A is the area and C the circumference of a circle, which of the following is an expression for A in terms of C ?

• C²/4π A
• C²/4π² B
• 2C C
• 2C²√π D

If the measures of the angels of a triangle are in the ratio of 1 : 2 : 3, what is the ratio of the length of the smallest side of the triangle to the length of the longest side of the triangle?

• 1 : 2 A
• 1 : 3 B
• 1 : 5 C
• 2 : 3 D

In a Δ ABC, if 2 ∠ A = 3 ∠ B = 6 ∠ C, then ∠ A is equal to

• 60^o A
• 30^o B
• 90^o C
• 120^o 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

• 6 A
• 12 B
• 6π C
• 12π D

• 8 A
• 20 B
• 8π C
• 40π 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

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

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

• 180 cm2 A
• 240 cm2 B
• 120 cm2 C
• 150 cm2 D

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

• 1.5 A
• 1.75 B
• 3 C
• 2√2 D
• 3√2 E

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

• 4 cm, 7 cm and 3 cm A
• 7 cm, 5 cm and 2 cm B
• 5 cm, 4 cm and 3 cm C
• 4 cm, 5 cm and 2 cm D