If x=z=225 and y=226, then the value of x3 + y3 + z3 – 3xyz ________
Question
Aptitude Questions:
If x=z=225 and y=226, then the value of x3 + y3 + z3 – 3xyz ________
As per mathematical formulae,
x3 + y3 + z3 – 3xyz can be derived as, 1/2(x + y + z) [(x - y)2+( y - z)2+ (z - x)2]
Using the above formulae,
½ (225 + 226 + 225) [(225-226)2 + (226-225)2 + (225-225)2]
=> ½ (676) [(-1)2 + (1)2 + (0)2 ]
=> ½ (676) [1 + 1 + 0]
=> ½ (676) (2)
=> 676.
Hence, the solution is 676.
Aptitude Questions:
If x=z=225 and y=226, then the value of x3 + y3 + z3 – 3xyz ________
Aptitude Questions:
If m = -4, n = -2, then the value of m3 – 3m2 + 3m + 3n + 3n2 + n3 is _______
Aptitude Questions:
A and B together can do a work can do a piece of work in 6 days. If A can alone to do the work in 18 days, then the number of days required for B to finish the work is _____
Aptitude Questions:
A number exceeds its two fifth by 75. The number is _____
Aptitude Questions:
The average age of three boys is 15 yr. If their ages are in the ratio 3 : 5 : 7, then the age of the youngest boy (in yr) is _______
Aptitude Questions:
2x – Ky + 7=0 and 6x – 12y +15 =0 has no solution for ______
Aptitude Questions:
If two numbers are in the ration 2:3 and the ratio becomes 3:4 when 8 is added to both the numbers, then the sum of the two numbers is _____
Aptitude Questions:
A dealer sold a bicycle at a profit of 10%. Had he brought the bicycle at 10% less price and sold it at a price 60 INR more, he would have gained 25%. The cost price of the bicycle was ________
Aptitude Questions:
If 4a - 4/a+3=0, then the value of a3 – 1/a3 + 3 = ________
Aptitude Questions:
If 25% of two-third of a number is 10, what is the number?