If 1,000 is divided into three parts in the ratio 2 : 3 : 5, find the value of the smallest part.

A and B entered into a partnership by investing Rs. 8000 and Rs. 6000 respectively. After 8 months, A withdrew half his investment while B invested 1.5 times more of his investment more and C joined the partnership with Rs. 12000. Find the profit share of C after 1 year if A got Rs. 8000 as profit.

The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) 

The speed of the motorboat in still water is 45 kmph. If the motorboat travels 80 km along the stream in 1 hour 20 minutes, then the time taken by it to cover the same distance against the stream will be: 

(0.04)^-1.5 on simplification gives: 

Δ ABC is a right angled triangle whose angle A is right angled. Which side needs to bisect to form two other right angled triangles?

What is the value of a⁵ × a⁷ ?

If the two hands in a clock are 3 minutes divisions apart, then the angle between is