CSS General Abilities Topic 3 MCQ's Test

The complement of 30^o 20' is

• 69^o 40' A
• 59^o 40' B
• 35^o 80' C
• 159^o 40' D

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

• 18 A
• 12√3 B
• 18√3 C
• 36 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

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

• None A
• I only B
• I and II only C
• I and III only D

• 45^o A
• 60^o B
• 75^o C
• 90^o D

• 24 A
• 32 B
• 40 C
• 48 D
• 60 E

• 3 A
• 2 + 3√2 B
• 3 + 2√2 C
• 5 D
• 8 E

• 35^o A
• 45^o B
• 55^o C
• 65^o 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

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

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

• 75 A
• 90 B
• 100 C
• 105 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

• 50^o A
• 90^o B
• 100^o C
• 120^o 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

• 20^o A
• 30^o B
• 45^o C
• 45^o D

• bc/b² + c² A
• b² + c³/bc B
• √b² + c²/bc C
• bc/√b² + c² 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

• 6 A
• 12 B
• 6π C
• 12π D