CSS General Abilities Topic 3 MCQ's Test

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

• 3 A
• 4.5 B
• 6 C
• 7.5 D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

• 100^o A
• 80^o B
• 60^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

• 15 A
• 30 B
• 45 C
• 60 D

• 90^o A
• 120^o B
• 60^o C
• 100^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

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

• 18 A
• 24 B
• 12 + 12 √3 C
• 18 + 6 √3 D
• 24√2 E

• 20^o A
• 30^o B
• 45^o C
• 45^o D

What is the area of a circle that is inscribed in a square of area ?

• π/4 A
• π/2 B
• π C
• π√2 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

If the measures of the angels of a triangle are in the ratio of 1 : 2 : 3, what is the ratio of the length of the smallest side of the triangle to the length of the longest side of the triangle?

• 1 : 2 A
• 1 : 3 B
• 1 : 5 C
• 2 : 3 D

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

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

• 9 A
• 18 B
• 27 C
• 36 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

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