Direction: In the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer

Give answer (A) If x > y
Give answer (B) if x ≥ y
Give answer (C) if x<y
Give answer (D) If x ≤ y
Give answer (E) if x=y or the relationship cannot be established.

I. x³-371=629
II.y³ – 543 =788

$$ sin^2 5° + sin^2 10°+sin^2 15°+.....sin^2 85°+sin^2 90°$$ is equal to

How many perfect squares lie between 120 and 300? 

Pipes  A and B are emptying pipes and can empty a tank in 6 hours and 16 hours, respectively. C is a filling a pipe. All the three pipes were opened together. They took 80 minutes to empty $$ {5\over 8}th$$ of the tank. Pipe C alone can fill the tank in:

If (x +y) = 6 and x² + y² = 20 then find the value of (x - y) ².

What is the volume of a cube whose side is 7.5 cm?

Directions:  In the following two equations questions numbered (I) and (II) are given. You have to solve both equations and
Give answer
(a) If x > y
(b) If x ≥ y
(c) If y > x
(d) If y ≥ x
(e) If x = y or no relation can be established

$$ {I.2x^{2}+x-28=0}$$
$$ {II. 2y^{2}-23y+56=0}$$

If the selling price of a product is multiplied by 2, the resulting profit is 6 times the original profit. What is the original profit percentage?