If 4a - 4/a+3=0, then the value of a3 – 1/a3 + 3 = ________
Question
Aptitude Questions:
If 4a - 4/a+3=0, then the value of a3 – 1/a3 + 3 = ________
Given, 4a – 4/a + 3 =0
4a – 4/a = -3
=> 4(a-1/a) = -3
=> a-1/a = -3/4
Cubing on both sides,
=> (a-1/a)3 = (-3/4)3
=> a3 + 1/a3 – 3 x a x 1/a (a-1/a) = -27/64 => a3 + 1/a3 – 3 (a – 1/a) = -27/64
=> a3 + 1/a3 – 3 (-3/4)=-27/64 => a3 + 1/a3 + 9/4 + 3 – 3 =-27/64
=> a3 + 1/a3 + 3 + (9 – 12)/4 =-27/64 => a3 + 1/a3 + 3 =-27/64 + 3/4 = (-27 + 48)/64
=> a3 + 1/a3 + 3 =21/64.
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?