Simplify : $$ {(7) ^{2} ÷(7^{1\over 2})^{4}}$$

A train passes a 100 meters long platform in 28 seconds and a man standing on the platform in 20 seconds. The speed of the train is:

S1 can do a piece of work alone in 9 days, S2 can do the same work alone in 18 days, while S3 can do it alone in 27 days. They work together and complete the work, and receive a total of ₹ 726 as payment for doing the work. What is the combined share of S2 and S3, taken together from the above amount?

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

If two complementary angles are in the ratio of 2:3. find the ratio of square of smaller angle to square of greater?

The total number of integers between 100 and 200, which are divisible by both 9 and 6, is 

If the diameter of a wire is decreased by 10% by how much per cent (approximately) will the length be increased to keep the volume constant?

P, Q and R share the profit in a business in the ratio of 1/4, 1/6 and 7/12. Due to some reason, R takes retirement. What will be the new profit sharing ratio for P and Q if they retain their old ratios in the new shares of profit?