Two numbers are in the ratio 3: 4. If their LCM is 240, the E smaller of the two numbers is: 

A alone can complete a work in 15 days and B alone can complete a work in 25 days. If they work on alternate days starting with A, in how many days the work will be finished?

Of the three numbers, the second is twice the first and it is also thrice the third. If the average of three numbers is 44, the difference of the first number and the third numbers is: 

If 1 + sin² A = 3 sin A cos A, then what are the possible values of tan A?

Find the coordinates of the midpoint of the line joining the points (10,12) and (0,8).

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

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. 2x²+11x+12=0
II. 5y²+27y+10=0

Find the square root of  $$ {k+l+m+n+2\sqrt{ml+mk}+2\sqrt{mn}+2\sqrt{kn+ln}}$$