CSS General Abilities Topic 3 MCQ's Test

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

• 3 A
• 4.5 B
• 6 C
• 7.5 D

In Δ ABC, ∠ A = 30^o , a = 6, and c = 8. Which of the following must be true ?

• 0^o < ∠C < 90^o A
• 90^o < ∠C < 180^o B
• 45^o < ∠C < 135^o C
• 0^o < ∠C < 45^o or 130^o < ∠C < 180^o D

• 20^o A
• 30^o B
• 45^o C
• 45^o D

• 100 A
• 110 B
• 120 C
• 130 D

What is the circumference of a circle whose area is 100π ?

• 10 A
• 20 B
• 10π C
• 20π D

• y = 60 - 2x A
• y = 2x B
• x + y = 90 C
• y = 180 - 3x D

• 75 A
• 90 B
• 100 C
• 105 D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

• bc/b² + c² A
• b² + c³/bc B
• √b² + c²/bc C
• bc/√b² + c² D

• 12 A
• 24 B
• 36 C
• 48 D

• 290^o A
• 300^o B
• 280^o C
• 285^o D

• BC < CA < CD A
• BC > CA > CA B
• BC < CA, CA > CD C
• BC > CA, CA < CD D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 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

An angle is equal to one-third of its supplement. Its measure is equal to

• 40^o A
• 50^o B
• 45^o C
• 55^o 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

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

• x = ∞ + β + γ A
• x + β = ∞ + γ B
• x + γ = β + ∞ C
• x + ∞ = β + γ D

The complement of an angle exceeds the angle by 60^o. Then the angle is equal to

• 25^o A
• 30^o B
• 15^o C
• 35^o D