CSS General Abilities Topic 3 MCQ's Test

In Δ ABC, ∠ A = 30^o , a = 6, and c = 8. Which of the following must be true ?

• 0^o < ∠C < 90^o A
• 90^o < ∠C < 180^o B
• 45^o < ∠C < 135^o C
• 0^o < ∠C < 45^o or 130^o < ∠C < 180^o D

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

• 90^o A
• 75^o B
• 80^o C
• 110^o D

• 2/3 A
• 1/1 B
• 3/2 C
• 2/1 D

• 5√2 A
• 10 B
• 11 C
• 13 D

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

• 10 A
• 20 B
• 10π C
• 20π 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

• 50^o A
• 90^o B
• 100^o C
• 120^o 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

The circumference of a circle of aπ units, and the area of the circle is bπ square units. If a = b, what is the radius of the circle ?

• 1 A
• 2 B
• 3 C
• π D

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

• 1.5 A
• 3 B
• 2 C
• 3.6 D

The angles of triangle are in a ratio of 8 : 3 : 1. The ratio of the longest side of the triangle to the next longest side is

• √6:2 A
• 8 : 3 B
• √3:1 C
• 8 : 5 D

• 6 A
• 12 B
• 6π C
• 12π D

• 120^o A
• 52^o B
• 78^o C
• 130^o D

The area of Δ ABC, = 24√3 , side a = 6, and side b = 16. The value of ∠ C is

• 30^o A
• 30^o or 150^o B
• 60^o C
• 60^o or 120^o D

• 5√2 A
• 10 B
• 11 C
• 13 D

• 100 A
• 110 B
• 120 C
• 130 D

• 37 A
• 43 B
• 47 C
• 53 D

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