Question
If a + b = 8 and ab = 5, then what is the value of a³ +
b³?Solution
ATQ;
Given, a + b = 8, and ab = 5
So, a³ + b³ = (a + b)³ - 3ab(a + b) = 8³ - 3 * 5 * 8 = 512 - 120 = 392
What will be the probability of choosing one red and one green ball from a basket containing 4 red and 5 green balls if two balls are drawn randomly?
The names of 6 students from section A, 8 students from section B and 10 students from section C were selected. The age of all the 24 students was diffe...
22 defective pens are accidentally mixed with 136 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen i...
The probability of selecting a rotten egg randomly from a basket of 250 eggs is 0.2. What is the number of rotten eggs in the basket?
One five letter word is to be formed taking all letters – U, Z, M, O and Q. What is the probability that this formed word will contain all vowels tog...
Out of three girls and five boys, five children are to be randomly selected for a dance programme. What is the probability that all the selected childre...
Karan has a 65% chance of being admitted to school L and a 55% chance at school M. His preferences are 'L', then 'M', and lastly 'N'. Assuming Karan get...
A box contains 7 blue and 7 green balls. The probability of drawing three balls of the same colour is
In a lottery, there are 4 prizes and 20 blanks. A lottery is drawn at random. What is the probability of getting a prize?
In a jar, there are (x + 8) red balls, ‘x’ blue balls, and (x + 2) black balls. If the probability of picking two blue balls at random is (1/45), th...
