CSS General Abilities Topic 3 MCQ's Test

• 30^o A
• 40^o B
• 50^o C
• None of these D

• 45^o , 55^o , 80^o A
• 45^o , 60^o , 75^o B
• 45^o , 65^o , 70^o C
• None of these D

A 5 × 12 rectangle is inscribed in a circle. What is the radius of the circle ?

• 6.5 A
• 7 B
• 8.5 C
• 13 D

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

• 90^o A
• 120^o B
• 60^o C
• 100^o D

• 12 A
• 24 B
• 36 C
• 48 D

• 18 A
• 27 B
• 30 C
• 36 D

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

• 10 A
• 20 B
• 10π C
• 20π D

• a > 4√3 A
• a > 8 B
• a = 4√3 C
• 4√3 < a < 8 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 whose circumference is π/2 ?

• π/16 A
• π/4 B
• π/2 C
• π D

• 15.4 A
• 48.6 B
• 71.4 C
• 93.7 D

• 40^o A
• 50^o B
• 80^o C
• 100^o 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

If the difference between the measures of the two smaller angles of a right triangle is 8^o , what is the measure, in degrees, of the smallest angle ?

• 37 A
• 41 B
• 42 C
• 49 D

A cyclic quadrilateral whose opposite angles are equal, is a :

• parallelogram but not a rhombus A
• rhombus B
• rectangle C
• square but not a rectangle 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

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

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