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Find the least square number which is divisible by 10, 12, 15 and 18?

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A. 1600
B. 900
C. 3600
D. 2500

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?

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A. 2.3 m
B. 4.6 m
C. 7.8 m
D. 9.2 m

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 :_________?

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A. 173 m
B. 200 m
C. 273 m
D. 300 m

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.

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A. 50°
B. 60°
C. 70°
D. 80°

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 :_________?

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A. 149 m
B. 156 m
C. 173 m
D. 200 m

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 :________?

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A. 30°
B. 45°
C. 60°
D. 90°

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 ?

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A. 5 metres
B. 8 metres
C. 10 metres
D. 12 metres

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 :_________?

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A. 10%
B. 10.25%
C. 10.50%
D. None of these

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 ?

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A. 1 : 3
B. 1 : 4
C. 2 : 3
D. Data inadequate

A sum of money trebles itself in 15 years, 6 months. In how many years would it double itself ?

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A. 6 years 3 months
B. 7 years 9 months
C. 8 years 3 months
D. 9 years 6 months

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