CSS General Abilities Topic 3 Geometry

• 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

• 18^o A
• 36^o B
• 45^o C
• 72^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

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

• 8 A
• 20 B
• 8π C
• 40π D

• 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

• 6 A
• 11 B
• 22 C
• 30 D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

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

• 2/3 A
• 1/1 B
• 3/2 C
• 2/1 D

If A is the area and C is the circumference of a circle, which of the following is an expression for C in terms of A ?

• 2√/A A
• 2π/√A B
• 2√A/π C
• 2√πA D

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

• 50^o A
• 90^o B
• 100^o C
• 120^o 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

• 12 A
• 24 B
• 36 C
• 48 D

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

Find the measure of an angle, if six times its complement is 12^o less than twice its supplement.

• 48^o A
• 96^o B
• 24^o C
• 58^o 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

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

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