Aptitude Training - 4

The measure of a certain angle is three and half times its supplementary angle. What is the difference between the angle and its supplementary angle?

• 18°

• 24°

• 30°

• 100°

• None of these

In the above figure, l || m. What is the value of x?

• 22.5°

• 30°

• 50°

• 100°

• None of these

In a right angled triangle PQR, right angled at Q, S is the midpoint of PR. If PQ = 7 cm and QR = 24 cm, then what is the length of QS?

• 7.5 cm

• 10 cm

• 12.5 cm

• 15 cm

• None of these

In ΔABC, ∠ABC = 50° and ∠ACB = 70°. AP is the bisector of ∠BAC. Find ∠APB.

• 60°

• 80°

• 100°

• 120°

• None of these

In ΔXYZ, XM is the angle bisector of ∠X. If XY = 24 cm, XZ = 36 cm and YM = 6 cm, then what is the length of YZ?

• 8 cm

• 15 cm

• 12 cm

• 14 cm

• None of these

Triangles PQR and XYZ are similar and area of triangle PQR is one fourth of the area of the triangle XYZ. If PQ and XY are corresponding sides and PQ = 18 cm, then find XY.

• 36 cm

• 48 cm

• 60 cm

• 72 cm

• None of these

In ΔXYZ, ∠X = 60°, ∠Y = 30° and XY = 12 cm, then what is the perimeter of the ΔXYZ?

• 12 + 2√3 cm

• 15 + 4√3 cm

• 18 + 6√3 cm

• None of these

The ratio of the angles of a quadrilateral is 3 : 4 : 5 : 6. The difference between the largest and the smallest angles in the quadrilateral is _____

• 60°

• 90°

• 120°

• 150°

• None of these

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The second biggest angle of the quadrilateral is equal to the biggest angle of a triangle. If the other two angles of the triangle are in the ratio 3 : 1, what is the smallest angle of the triangle?

• 20°

• 30°

• 40°

• 25°

• None of these

The angles of a trapezium are in the ratio 2:3:6:7. The smallest angle of the trapezium equals the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. Find the second largest angle of the triangle.

• 80°

• 70°

• 60°

• Cannot be determined

• None of these