Twice the square of a number is three times the cube of other number. What is the ratio between the first number and the second number? 

What is the volume of a cylinder if the radius of the cylinder is 10 cm and height is 20 cm? (Take π = 3.14)

A work can be completed by 20 men in 50 days. 30 more men join them after 10 days of work. How many days will be saved in completion of the work?

If 15x² – 26x + 8 = (Ax + B) (Cx + D), where A and C are positive integers, then what is the value of (2A + B – C – 2D) ?

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. $$ {4x^2-4x-3=0}$$
II. $$ {4y^2+12y+5=0}$$

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

Find the number of days in which Q can do a job if P can do the same job in 8 days.
A. Q is 60% more efficient than P.
B. P and Q together can do the job in 3days.
C. P is 37 %less efficient than Q.

If the area of a rhombus is 240 square feet if it's one diagonal is 16 feet, then what is the length (in meters) of the side of the rhombus?

What is the L.C.M of 12, 36, 6 and 9?