CSS General Abilities Topic 3 MCQ's Test

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

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 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

• 2.25 cm A
• 4.5 cm B
• 1.25 cm C
• 2.5 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

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

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

• 2/3 A
• 1/1 B
• 3/2 C
• 2/1 D

• 25/81 A
• 25/16 B
• 16/25 C
• 16/81 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

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

• 20^o A
• 30^o B
• 45^o C
• 45^o 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

• 1.5 A
• 3 B
• 2 C
• 3.6 D

• 24 A
• 32 B
• 40 C
• 48 D
• 60 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

The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of square. If the area of the square is 45, what is the area of the rectangle ?

• 20 A
• 25 B
• 45 C
• 50 D
• 70 E

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

• 48 A
• 48 + 12 √2 B
• 48 + 12√3 C
• 60 D

• 100 A
• 110 B
• 120 C
• 130 D