CSS General Abilities Topic 3 MCQ's Test

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

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

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

• 47 A
• 74 B
• 90 C
• 106 D

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

• 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

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, B, C are the three angles of a Δ . If A - B = 15o and B - C = 30o, then ∠ A is equal to

• 65^o A
• 80^o B
• 75^o C
• 85^o 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

• 50^o A
• 90^o B
• 100^o C
• 120^o D

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

• 5 cm A
• 4 cm B
• 3 cm C
• 2 cm D

The sides of a triangle are in a ratio of 4 : 5 : 6. The smallest angle is

• 82^o A
• 69^o B
• 56^o C
• 41^o D

A 5 × 12 rectangle is inscribed in a circle. What is the radius of the circle ?

• 6.5 A
• 7 B
• 8.5 C
• 13 D

• 6.9 cm A
• 9.6 cm B
• 3.9 cm C
• 9.3 cm D

• 20 A
• 30 B
• 40 C
• 50 D

• 120^o A
• 52^o B
• 78^o C
• 130^o D

• 5√2 A
• 10 B
• 11 C
• 13 D

• 15.4 A
• 48.6 B
• 71.4 C
• 93.7 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