Mathematics MCQs — Test 11
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Question 1
Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?
Question 2
If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
Question 3
From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :_________?
Question 4
The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is :________?
Question 5
The top of a 15 metre high tower makes an angle of elevation of 60° with the bottom of an electric pole and angle of elevation of 30° with the top of the pole. What is the height of the electric pole ?
Question 6
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes :_________?
Question 7
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years ?
Question 8
A sum of money trebles itself in 15 years, 6 months. In how many years would it double itself ?
Question 9
Find the one which does not belong to that group ?
Question 10
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?