CSS General Abilities Topic 3 MCQ's Test

In quadrilateral WXYZ, the measure of angle Z is 1 more than twice the average of the measures of the three angles. What is the measure of angle Z ?

• 100 A
• 105 B
• 120 C
• 135 D
• 150 E

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

How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each exterior angle ?

• 8 A
• 9 B
• 10 C
• 12 D
• 18 E

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

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

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

Find the measure of an angle, if six times its complement is 12^o less than twice its supplement.

• 48^o A
• 96^o B
• 24^o C
• 58^o 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

• 30^o A
• 20^o B
• 60^o C
• 45^o D

• Supplementary A
• Complementary B
• Equal C
• Unequal 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

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

• 100^o A
• 80^o B
• 60^o C
• 70^o D

• a > 4√3 A
• a > 8 B
• a = 4√3 C
• 4√3 < a < 8 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^o A
• 90^o B
• 360^o C
• 270^o D

• 20^o A
• 30^o B
• 45^o C
• 45^o 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

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