CSS General Abilities Topic 3 MCQ's Test

In Δ ABC, ∠ A = 30^o , b = 8, and a = 4√2 . Angle C could equal

• 45^o A
• 135^o B
• 60^o C
• 15^o D

• 3 A
• 4.5 B
• 6 C
• 7.5 D

• 1 + √2 A
• 2 + √2 B
• 4 C
• 2 + 2 √2 D
• 6 E

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

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

• 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

• 3AB² = 2AD² A
• 2AB² = 3AD² B
• 3AB² = 4AD² C
• 4AB² = 3AD² D

If one side of Δ ABC is 5, what is the smallest integer that could be the perimeter of the triangle ?

• 8 A
• 10 B
• 11 C
• 12 D

• 6 A
• 11 B
• 22 C
• 30 D

• 60 A
• 90 B
• 105 C
• 120 D

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

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

The circumference of a circle of aπ units, and the area of the circle is bπ square units. If a = b, what is the radius of the circle ?

• 1 A
• 2 B
• 3 C
• π D

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

• 18 A
• 27 B
• 30 C
• 36 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

• 108 A
• 54+72√2 B
• 54+72√3 C
• 198 D

In ΔABC, the measure of the exterior angles at vertices A and B are 145^o and 125^o, respectively. Which of the following statement about ΔABC above must be true.

i. The triangle is a right triangle.

ii. The triangle is an isosceles triangle.

iii. The triangle is a scalene triangle.

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

• 15.4 A
• 48.6 B
• 71.4 C
• 93.7 D

Two sides of a right triangle are 15 and 17. Which of the following could be the length of the third side ?

i. 8

ii. 19

iii. √514

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