CSS General Abilities Topic 3 MCQ's Test

• 14.00 A
• 14.09 B
• 14.21 C
• 15.62 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

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

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

What is the area of a circle that is inscribed in a square of area ?

• π/4 A
• π/2 B
• π C
• π√2 D

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

• 6 A
• 11 B
• 22 C
• 30 D

If the difference between the measures of the two smaller angles of a right triangle is 8^o , what is the measure, in degrees, of the smallest angle ?

• 37 A
• 41 B
• 42 C
• 49 D

• 15 A
• 30 B
• 45 C
• 60 D

• 180 cm2 A
• 240 cm2 B
• 120 cm2 C
• 150 cm2 D

• 100 A
• 110 B
• 120 C
• 130 D

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

• 18 A
• 72 B
• 18√3 C
• 36√3 D
• 36√2 E

• 47 A
• 74 B
• 90 C
• 106 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

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

If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the length of the smallest side of the triangle is 10, what is the length of the longest side ?

• 10√2 A
• 10√3 B
• 15 C
• 20 D

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

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

• a = 30^o , b = 40^o A
• a = 73^o , b = 75^o B
• a = 100^o , b = 0^o C
• None of these D