One ticket is drawn at random from a bag containing tickets numbered 1 to 40. What is the probability that the selected ticket has a number which is a multiple of 5?

OR

A coin is tossed two times. Find the probability of getting atmost one head.

An electrician has to repair an electric fault on the pole of height 5 m. She needs to reach a point 1.3 m below the top of the pole to undertake the repair work (see figure)

(a) What is the length of BD?

(i) 1.3 m

(ii) 5 m

(iii) 3.7 m

(iv) None of these

(b) What should be the length of Ladder, when inclined at an angle of 60° to the horizontal?

(i) 7.4 m

(ii) m

(iii) 3.7 m

(iv) m

(c) How far from the foot of pole should she place the foot of the ladder? (i) 3.7

(ii) 2.14

(iii)

(iv) None of these

(d) If the horizontal angle is changed to 30°, then what should be the length of the ladder?

(i) 7.4 m

(ii) 3.7 m

(iii) 1.3 m

(iv) 5 m

(e) What is the value of B?

(i) 60°

(ii) 90°

(iii) 30°

(iv) 180°

What is the radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm?

Calculate the value of the expression

OR

If sin – cos = 0, then calculate the value of (sin⁴ + cos⁴).

Calculate the roots of the quadratic equation