CSS General Abilities Topic 3 MCQ's Test

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

• 18 A
• 27 B
• 30 C
• 36 D

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

• 21 A
• 38 B
• 42 C
• 69 D

If the bisector of an angle of Δ bisects the opposite side, then the Δ is

• Scalene A
• Isosceles B
• Right triangle C
• None of these D

• 100^o A
• 80^o B
• 60^o C
• 70^o D

• 7 A
• 17 B
• 9 C
• 14 D

• 3AB² = 2AD² A
• 2AB² = 3AD² B
• 3AB² = 4AD² C
• 4AB² = 3AD² D

• 93^o A
• 103^o B
• 83^o C
• 97^o D

• 95^o A
• 70^o B
• 35^o C
• 85^o 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

• 9 A
• 18 B
• 27 C
• 36 D

• 48 A
• 60 B
• 72 C
• 96 D
• 108 E

• 30^o A
• 20^o B
• 60^o C
• 45^o 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

• 2/3 A
• 1/1 B
• 3/2 C
• 2/1 D

• 40^o A
• 60^o B
• 30^o C
• 20^o 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

• 24 A
• 32 B
• 40 C
• 48 D
• 60 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