CSS General Abilities Topic 3 MCQ's Test

• 1/2 A
• 1 B
• √2 C
• 2 D
• 2√2 E

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 , b = 8, and a = 4√2 . Angle C could equal

• 45^o A
• 135^o B
• 60^o C
• 15^o 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

• 30^o A
• 40^o B
• 50^o C
• None of these D

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

• 5 cm A
• 4 cm B
• 3 cm C
• 2 cm D

• 8 + √41 A
• 8 + √58 B
• 16 C
• 17 D

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

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

What is the measure of the angle formed by the minute and hour hands of a clock at 1:50?

• 90^o A
• 95^o B
• 105^o C
• 115^o D

• 35^o A
• 45^o B
• 55^o C
• 65^o D

• 90^o A
• 75^o B
• 80^o C
• 110^o D

• 18 A
• 24 B
• 12 + 12 √3 C
• 18 + 6 √3 D
• 24√2 E

A square of area 2 is inscribed in a circle. What is the area of the circle ?

• π/4 A
• π/2 B
• π C
• π√2 D

• 95^o A
• 70^o B
• 35^o C
• 85^o D

• 5√2 A
• 10 B
• 11 C
• 13 D

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

Two sides of a right triangle are 12 and 13, which of the following could be the length of the third side ?

i. 5

ii. 11

iii. √313

• 1 only A
• 2 only B
• 1 and 2 C
• 1 and 3 D

• 75 A
• 90 B
• 100 C
• 105 D