Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer.
(A) x>y
(B) x≥y
(C) x˂y
(D) x≤y
(E) x=y or the relations ship cannot be established

I. $$ {4x^2=49}$$
II. $$ {9y^2-66y+121=0}$$

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 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. 

With the increase in the price of sugar by 45%, a consumer can buy 9 kg less sugar for Rs. 1740. What is the increased price per kg of sugar?

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

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
$$\sqrt{1.3} + \sqrt{1300}+\sqrt{0.013}  $$

In an election 10 % of the voters on the voter's list did not cast their votes and 60 voters cast their ballot paper blank. There were only two candidates. The winner was supported by 47 % of all the voters in the list and he got 308 votes more than his rival. The number of voters on the list was