111.

If  then sin θ is equal to

• 2/3

• 3/4

• 1/4

• 1/3

A man standing in one corner of a square football field observes that the angle subtend by a pole in the corner just diagonally opposite to this corner is 60°. When he retires 80 m from the corner, along the same straight line, he finds the angle to be 30°. The length of the field is

• 20 m

• 40√2 m

• 40 m

• 20√2 m

If the median drawn on the base of a triangle is half its base, then the triangle will be

• obtuse angled

• equilateral

• right angled

• acute angled

The average age of 14 girls and their teacher's age is 15 yr. If the teacher's age is excluded, then the average reduces by 1. What is the teacher's age?

• 29 yr

• 35 yr

• 32 yr

• 30 yr

If a, b and c are non-zero,  then the value of abc is

• -3

• 1

• -1

• 3

The value of a machine depreciates every year at the rate of 10% on its value at the beginning of that year. If the current value of the machine is ₹ 729, then its worth 3 yr ago was

• ₹ 947.10

• ₹ 800

• ₹ 1000

• ₹ 750.87

Find the maximum number of trees which can be planted 20 m apart on the two sides of a straight road 1760 m long.

• 174

• 176

• 180

• 178

Two circles of same radius 5 cm, intersect each other at A and B. If AB = 8 cm, then the distance between the centres is

• 10 cm

• 4 cm

• 6 cm

• 8 cm

The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm², then its volume is

• 1632 cm³

• 1078 cm³

• 1232 cm³

• 1848 cm³

If a + b + c = 0, then the value of
 is

• 9

• 0

• 8

• -3