CSS General Abilities Topic 3 MCQ's Test

In circle of radius 5 cm, AB and AC are two equal chords such that AB = AC = 6 cm. What is the length of the chord BC ?

• 9.6 cm A
• 11 cm B
• 12 cm C
• 9 cm D

• 19 + 5 √2 A
• 28 B
• 17 + √185 C
• 32 D

If the angles of a five-sided polygon are in the ratio of 2 : 3 : 3 : 5 : 5, what is the measure of the smallest angle ?

• 20 A
• 40 B
• 60 C
• 80 D
• 90 E

• 18 A
• 27 B
• 36 C
• 45 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

• 7 A
• 17 B
• 9 C
• 14 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

• 50^o A
• 90^o B
• 100^o C
• 120^o D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

• 93^o A
• 103^o B
• 83^o C
• 97^o D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

• 1/2 A
• 1 B
• √2 C
• 2 D
• 2√2 E

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

• 6.9 cm A
• 9.6 cm B
• 3.9 cm C
• 9.3 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

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

• 80^o A
• 90^o B
• 100^o C
• None of these D

• 12 A
• 18 B
• 12π C
• 30π D

• 47 A
• 74 B
• 90 C
• 106 D

• 60 A
• 90 B
• 105 C
• 120 D