CSS General Abilities Topic 3 MCQ's Test

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

• (a + b + c) = 180^o A
• 2a = 2b = c B
• a + b = 180^o - c C
• a + b = c 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

• 2/3 A
• 1/1 B
• 3/2 C
• 2/1 D

• 180^o A
• 90^o B
• 360^o C
• 270^o 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

• 8 A
• 20 B
• 8π C
• 40π D

• ∠ A + 180^o A
• 180^o - ∠ A B
• 1/2 ∠BAC C
• ∠A + 90^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

• 12 A
• 18 B
• 12π C
• 30π 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

What is the area of a circle whose radius is the diagonal of a square whose area is 4 ?

• 2π A
• 2π√2 B
• 4π C
• 8π D

• 108 A
• 54+72√2 B
• 54+72√3 C
• 198 D

What is the area of an equilateral triangle whose altitude is 6 ?

• 18 A
• 12√3 B
• 18√3 C
• 36 D

• BC < CA < CD A
• BC > CA > CA B
• BC < CA, CA > CD C
• BC > CA, CA < CD D

• 60^o A
• 65^o B
• 75^o C
• 70^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

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

An angle is equal to one-third of its supplement. Its measure is equal to

• 40^o A
• 50^o B
• 45^o C
• 55^o D

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