If tan (11 θ)=cot (7θ), then what is the value of sin²(6 θ) + Sec² (9 θ) + cosec²(12 θ)?

The area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?

If two persons, with equal abilities, can do two jobs in two days then 100 persons with equal abilities can do 100 similar jobs in 

The least number which must be subtracted from 2361 to make it a perfect square is

The ratio of Ram, Shyam, and Mohan's Working speed is 2: 3: 5 if they get Rs 40,000 for some work. Then find the share of Shyam(in Rupees)?

A cistern can be filled by two pipes filling separately in 12 and 16 min respectively. Both pipes are opened together for a certain time but being obstructions, only 7/8 of full quantity water flows through the former and only 5/6 through the latter pipe. The obstructions, however, being suddenly removed, the cistern is filled in 3 minutes from that moment. How long was it obstructions before the full flow began? 

The simple interest accrued on an amount of Rs. 8500 at the end of four years is Rs.3400. What would be the compound interest accrued on the same amount at the same rate of interest after three years?

A job can be completed by 12 men in 12 days. How many extra days will be needed to complete the job if 6. men leave after working for 6 days?