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P = y + z – x, Q = z + x – y and R = x + y – z And x3 + y3 + z3 = 3(1 + xyz); Suppose x = y = 0 then z3 = 3; P = z, Q = z and R = -z; Putting these values in below equation P3 + Q3 + R3 - 3PQR = z3 + z3 - z3 + 3z3 => 4z3 Putting z3 = 3: P3 + Q3 + R3 - 3PQR = 12
Lakshit allocates his income in the following manner: 24% is spent on food. After food expenses, he uses 25% of the balance on rent. He spends one-third...
Monthly savings of X is 70% of his monthly income which is Rs. 5600. If ratio of monthly expenditure of Y and X is 15:8 respectively and monthly savings...
There are 100 students in a particular class. 60% students play cricket, 25 % play football and 15% play both the games. What is the number of students ...
Rohan's salary is 60% lower than Raj's salary. What percentage more is Raj's salary compared to Rohan's salary?
The population of a town increases by 5% every year. If the population of the town at the beginning of 2020 was 50,000, what will the population be at t...
A scored 35% marks and failed by 40 marks whereas B scored 55% marks, which was 80 more than the passing marks of the examination. Find the total marks ...
Two candidates, 'K' and 'L', contested in an election. 'K' received 59% of the votes and won over 'L' by 3,540 votes. How many votes did 'L' receive?
There were two candidate in an election. 15% of the total voters did not cast their votes whereas 10% of the casting votes were declared invalid. If th...