Two ship are on the opposite of a light house such that all three of them are collinear. The angels of depression of the two ships from the top of the light house are 30⁰ and 60⁰. If the ships are $$230 \sqrt { 3} \ $$ m apart, then find the height of the light house (in m).

If $${cos^2θ\over cot^2θ-cos^2θ}=3,$$ where $${0^0<θ<90^0}$$ then the value of θ is:

35 percent of a number is 1249.5. What is 78 percent of that number?

Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touch them at the points P and Q respectively. Then the area of square with one side PQ, is:

A dealer sells an article for ₹ 24 and gains as much percent as the price of the article , then the cost price of the article is: 

A four digit number is formed by writing a two digit number together twice like: 15:15, -3737 etc. A number of this form will be exactly divisible by which of the following numbers 

Study the following graph carefully to answer the given questions

A can do a piece of work 10 days more than that of Q. Both of them start the work but A leaves the work 5 days before its completion. Find the time in which work is completed.

The greatest 4-digit number which is a perfect square is