At a point 30 m away from the foot of a tower the angle of elevation of the top of the tower is 60o. Find the height of the tower.
Q.2
In a bag there are 5 white, 6 black and 3 green cards. One card is drawn at random. What is the probability of having a card which is not green?
Q.3
There are three consecutive positive integers such that the sum of the square of the first and the product of the other two is 29. What are the integers?
Q.4
Consider the given data of an examination with three subjects.
How many candidates failed in all the subjects?
a.
Candidates appeared
100
b.
Candidates passed in all the three subjects
460
c.
Candidates passed in two subjects only
280
d.
Candidates passed in one subject only
240
e.
Candidates failed in Physics only
80
f.
Candidates failed in Chemistry only
60
g.
Candidates failed in Maths only
140
Q.5
If the height of the frustum is 4 cm and the radii of two bases are 3 cm and 6 cm respectively, find the slant height of the frustum.
Q.6
What is the diameter of a circle with an area of 121π?
Q.7
Factorise: x4 + x2y2 + y4
Q.8
Which number is divisible by 14? 57248, 124556, 89534, 484176
Q.9
The cost of fencing a circular field at the rate of $10 per meter is $440. What is the radius of the circular field?
Q.10
Michael purchased 40 kg of wheat at $12.50 per kg and 25 kg of wheat at $15.10 per kg. He mixed the two qualities of wheat for selling. At what rate should it be sold to gain 10%?
