=> x3 + y3 + z3 – 3xyz = (x+y+z) (x+y+z)2 – 3(xy +yz + zx) => 36 – 18 = 6 (36 – 3(xy +yz + zx)) => 3 = 36 – 3(xy +yz + zx) => xy +yz + zx = 11
A man takes 3.5 hours to reach a friend's house, which is 50 km away from his residence. He returns home traveling at 20 km/h. Ca...
Out of 6 numbers, the average of first 5 is 19 and last 5 is 20. If the last number is 21. Find the first number?
5 positive numbers are written on a piece of paper. Sum of first 3 numbers is 40 and ratio of the 4th and the 5th number is 2:3. If difference between t...
The total number of students in class X and Y is 72. The number of students in X is 40 more than that in Y. The average marks of students in Y are 50% m...
Average 20 numbers is ‘x’. If the average of first 12 numbers is 74.5 while average of last 5 numbers is 84.8 and 13th, 14th a...
A family spends ₹4,600, ₹5,600, ₹4,800, ₹3,800, and ₹6,000 on groceries in the first 5 months of a year. How much should the family spend in t...
Average weight of a team of 10 persons is 30 kg. When one more person joins the team, the average weight of the team increases by 3 kg. Find the weight ...
The university has 750 faculty (male and female only) out of which the females are 60%. The average height of females is 162 cm and that of males is 168...
The average age of a class of 23 girls is 15 years. If 2 new girls having average age of 10 years join the class, then the average age of the class beco...
In nine innings of cricket, the average of a batsman is 59 runs. How many runs does he need to make it in the tenth inning to get the average score of 62?
