CSS General Abilities Topic 3 MCQ's Test

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

• 90^o A
• 120^o B
• 60^o C
• 100^o D

• 18 A
• 72 B
• 18√3 C
• 36√3 D
• 36√2 E

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

The lengths of the sides of triangle are 3, 5, and x. How many possible values of x are there, if x must be an integer ?

• 1 A
• 5 B
• 7 C
• 8 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

• a > 4√3 A
• a > 8 B
• a = 4√3 C
• 4√3 < a < 8 D

• 20 A
• 30 B
• 40 C
• 50 D

• 14.00 A
• 14.09 B
• 14.21 C
• 15.62 D

• 6 A
• 12 B
• 6π C
• 12π D

• 270^o A
• 300^o B
• 360^o C
• 330^o D

• 12 A
• 18 B
• 12π C
• 30π D

• 90^o A
• 75^o B
• 80^o C
• 110^o D

• 50^o A
• 90^o B
• 100^o C
• 120^o D

• 3 A
• 4.5 B
• 6 C
• 7.5 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
• 27 B
• 36 C
• 45 D

In a Δ ABC, if 2 ∠ A = 3 ∠ B = 6 ∠ C, then ∠ A is equal to

• 60^o A
• 30^o B
• 90^o C
• 120^o 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

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