The L.C.M and H.C.F of the two numbers are 84 and 21 respectively. If the numbers have a ratio of 1: 4, what is the larger number?

If three cubes of sides 3 cm, 4.5 m and 5 cm respectively are melted to form a big money, then find the side of the new cube.

On a certain sum of money, the simple interest for 2 years is ₹150 at the rate of 10% per annum. What is the difference between the compound interest and the simple interest for 2 years if, in the case of compound interest, interest is compounded annually at the rate of 10% per annum.

The speed of a boat in still water is 10 km/hr. It covers (upstream) a distance of 45 km in 6 hours. The speed (in km/hr) of the stream is : 

Study the given graph and answer the question that follows.

The total number of students obtaining less than 50 marks is what percentage more than the total number of students obtaining 60 marks or more ( correct to one decimal place).

12 kg of rice costing 30 per kg is mixed with 8 kg of rice costing 40 per kg. The average per kg price of mixed rice is

The LCM of two numbers is 864 and their HCF is 144. If one of the numbers is 288, the other number is:

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. $$ {9x^2+5=18x}$$
II. $${2y^2-9y+10=0}$$