CSS General Abilities Topic 3 MCQ's Test

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

If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the length of the smallest side of the triangle is 10, what is the length of the longest side ?

• 10√2 A
• 10√3 B
• 15 C
• 20 D

• 60 A
• 90 B
• 105 C
• 120 D

• 30 A
• 36 B
• 45 C
• 54 D

• a > 4√3 A
• a > 8 B
• a = 4√3 C
• 4√3 < a < 8 D

• 93^o A
• 103^o B
• 83^o C
• 97^o D

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

• 10 A
• 20 B
• 10π C
• 20π 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

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

• 4√6 cm A
• √24 cm B
• 8√3 cm C
• 4√3 cm 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

• 18 A
• 27 B
• 36 C
• 45 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

• 360 A
• 540 B
• 720 C
• 900 D
• 1080 E

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

• 15 A
• 30 B
• 45 C
• 54 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

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

• 1 + √2 A
• 2 + √2 B
• 4 C
• 2 + 2 √2 D
• 6 E