A vertical tower OP stands at the center O of a square ABCD. Let h and b denote the length OP and AB respectively. Suppose ÐAPB = 60° then the relationship between h and b can be expressed asa. 2b2 = h2 b. 2h2 = b2 c. 3b2 = 2h2 d. 3h2 = 2b2Please can you explain in detail.

The sum of two numbers is 2490. If 6.5% of one number is equal to 8.5% of the other, find the numbers.

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines started at 9 a.m while machine P closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?A. 11:30 a.mB. 12 noonC. 12:30 p.mD. 1 p.m

What number should be added to (7)/(12) to get (4)/(15) ?

2 men each working 5 hour per day can finish a job in 12 days. How long will 4 men each working 2 hours per day take to finish the same job?

State true or false. (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v)