There are 240 workers and an amount of Rs. 2880 is to be divided among them. The ratio of total amount received to men and women is 5 : 4 and the ratio of the amount given to each man and each woman is 5 : 8. Find the number of men.

The curved surface area of cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

If 4sin² θ – 1 = 0 and angle θ is less than 90⁰. The value of cos² θ + tan² θ is:
(Take 0⁰ < θ < 90⁰) 

In a two digit number if it is known that its unit digit exceeds its tens digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is 

A, B and C can complete a work in 10, 20 and 30 days respectively. If D can destroy the same work in 15 days. Find the time taken by all of them to complete the whole work.

Find the greatest perfect square number of 5 digits.

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. x²-7x + 12 = 0
II. y² - 12y + 32 = 0 

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?