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

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

• 3 A
• 4.5 B
• 6 C
• 7.5 D

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

• 8 A
• 20 B
• 8π C
• 40π D

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

If the measures of the angels of a triangle are in the ratio of 1 : 2 : 3, what is the ratio of the length of the smallest side of the triangle to the length of the longest side of the triangle?

• 1 : 2 A
• 1 : 3 B
• 1 : 5 C
• 2 : 3 D

• (a + b + c) = 180^o A
• 2a = 2b = c B
• a + b = 180^o - c C
• a + b = c D

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

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

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

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

• 93^o A
• 103^o B
• 83^o C
• 97^o D

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

• 10 A
• 20 B
• 10π C
• 20π D

If the difference between the measures of the two acute angles of a right triangle is 20^o , what is the measure, in degrees, of the smaller one ?

• 20^o A
• 35^o B
• 45^o C
• 55^o 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

• 30 A
• 36 B
• 45 C
• 54 D

• 18 A
• 27 B
• 36 C
• 45 D

• 18 A
• 27 B
• 36 C
• 45 D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D