CSS General Abilities Topic 3 MCQ's Test

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

• 18^o A
• 36^o B
• 45^o C
• 72^o D

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

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

• 25/81 A
• 25/16 B
• 16/25 C
• 16/81 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

• 60 A
• 90 B
• 105 C
• 120 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

• 20 A
• 30 B
• 40 C
• 50 D

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

• 10 A
• 20 B
• 10π C
• 20π D

• 30^o A
• 20^o B
• 60^o C
• 45^o D

What is the area of a circle whose circumference is π/2 ?

• π/16 A
• π/4 B
• π/2 C
• π D

• a = 30^o , b = 40^o A
• a = 73^o , b = 75^o B
• a = 100^o , b = 0^o C
• None of these D

• 50^o A
• 90^o B
• 100^o C
• 120^o D

• 2.25 cm A
• 4.5 cm B
• 1.25 cm C
• 2.5 cm 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

• 100 A
• 110 B
• 120 C
• 130 D

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

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

• 18 A
• 27 B
• 36 C
• 45 D