CSS General Abilities Topic 3 MCQ's Test

• 100^o A
• 80^o B
• 60^o C
• 70^o D

In ΔABC, D and E are the mid-points of AB and AC, respectively. Find the ratio of the areas of Δ ADE and Δ ABC.

• 1/2 A
• 1/4 B
• 3/4 C
• 1/8 D

• 6 A
• 11 B
• 22 C
• 30 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

• 290^o A
• 300^o B
• 280^o C
• 285^o D

If the bisector of an angle of Δ bisects the opposite side, then the Δ is

• Scalene A
• Isosceles B
• Right triangle C
• None of these D

• 18 A
• 27 B
• 30 C
• 36 D

• 60^o A
• 65^o B
• 75^o C
• 70^o D

• 75 A
• 90 B
• 100 C
• 105 D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

• 4 cm, 7 cm and 3 cm A
• 7 cm, 5 cm and 2 cm B
• 5 cm, 4 cm and 3 cm C
• 4 cm, 5 cm and 2 cm 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

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

The area of Δ ABC, = 24√3 , side a = 6, and side b = 16. The value of ∠ C is

• 30^o A
• 30^o or 150^o B
• 60^o C
• 60^o or 120^o D

• 4√6 cm A
• √24 cm B
• 8√3 cm C
• 4√3 cm D

The complement of an angle exceeds the angle by 60^o. Then the angle is equal to

• 25^o A
• 30^o B
• 15^o C
• 35^o D

• 5√2 A
• 10 B
• 11 C
• 13 D

• 18^o A
• 36^o B
• 45^o C
• 72^o D

Given the following data, which can form two triangles ?

i. ∠C = 30o, c = 8, b = 12

ii. ∠B = 45o, a = 12√2, b = 15√2

iii. ∠C = 60^o , b = 12, c = 5√3

• only 1 A
• only 2 B
• only 3 C
• only 1 and 2 D

The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of square. If the area of the square is 45, what is the area of the rectangle ?

• 20 A
• 25 B
• 45 C
• 50 D
• 70 E