Find the next term in the series.

1329, 997, 725, 507, 337, ?

The angle of elevation of the top of a tower from the point P and Q at distance of 'a' and 'b' respectively from the base of the tower and in the same straight line with it are complementary . The height of the tower is 

A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number? 

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC=55° then value of ∠ABC is

A machine is marked at ₹ 6,800 and available at a discount of 10%. The shopkeeper gives another off-season discount to the buyer and sells the machine for ₹ 5,202.  Find the offseason discount. 

Five years ago the sum of the ages of A and B was 58 years. The difference between B's age 8 years ago and A's age 8 years hence is 16 years. The ratio of the present ages of A and B is:

Assume that
$$\sqrt{3} = 3.605 \ (approximately)  $$
$$\sqrt{130} = 11.40 \ (approximately)  $$
Find the value of
$$\sqrt{1.3} + \sqrt{1300}+\sqrt{0.013}  $$

A fan s listed at ₹ 150 with a discount of 20%. What additional discount must be offered to the customer to bring the net price to ₹ 108