Direction: Study the following information to answer the questions.

The number of customers (male + female) in hotel A and B are increased by 50% and 15% respectively from Thursday to Saturday. If the total number of female customers in hotel A and B together was equal on Thursday and Saturday, what was the total number of male customers in hotel A and B together on Saturday?

Simplify the following expression.

 25-(4÷2)+11.5+9.5

The compound interest on Rs. 8,000 at 15% per annum for 2 years 4 months, compounded annually is:

Rachit invests ₹12,000 for a 2-year period at a certain rate of simple interest per annum. Prasad invests ₹12,000 for a 2- year period at the same rate of interest per annum as Rachit, but in Prasad's case the interest is compounded annually. Find the rate of interest per annum if Prasad receives ₹172.80 more as interest than Rachit at the end of the 2-year period. 

if $$x-{1\over 5},x≠0,$$ then what is the value of $${x^6+3x^3-1}\over x^6-8x^3-1$$=?

The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.

Find the cube root of $$ ^{3}\sqrt{-13824}$$.

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. $$ {x^2+9x+14=0}$$
II. $$ {y^2+y=2}$$