If x² + y² + z² = 2 (x + z – 1), then the value of : x³ + y³ + z³ = ?

How many hemispherical balls can be made from a cylinder 56 cm high and 12 cm diameter, when every ball being 0.75 cm in radius? 

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x²– 37x + 330 = 0

II. y²– 28y + 195 = 0

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X² – 5x + 6 = 0
 II. Y² – y – 6 = 0

Directions : Study the following bar graph and answer the questions.

company (in lakhs of rupees) for the years 1994-1997:

The percentage of net profit of 1995 as compared to the gross profit in that year is

ΔABC ~ ΔPQR. The perimeters of ΔABC and ΔPQR are 72 cm and 43.2 cm, respectively. What is the ratio of the are area of ΔABC to the area of ΔPQR?

Direction: The line chart given below shows number of labourers (men and women) working in six different years. Study the data carefully and answer the following questions. 

The total number of Men working in 2012 and 2013 together is what per cent of the total number of labourers (Men + Women) working in 2014? 

A person deposited ₹400 for 2 years, ₹ 550 for 4 years and ₹ 1,200 for 6 years. He received a total simple interest of 1,020. The rate of interest per annum is