Question
The ratio of two numbers is 6:7. If each number is
decreased by 3, the ratio becomes 9:11. Find the smaller numbers.Solution
Let the two numbers be 6x and 7x. => (6x-3)/(7x-3) = 9/11 => 66x β 33 = 63x β 27 => x = 2 The smaller numbers = 6Β ΓΒ 2 = 12
A bag has 4 red, 3 blue, and 3 green balls. Two are drawn without replacement. Find probability that both are of different colors.
- The letters of the word MISCHIEF are arranged among themselves. What is the probability that word ICE will be contained?
One bag contains 5 yellow hats and 4pink hats. Another bag contains 3 yellow hats and 7pink hats. If one hat is drawn from each bag, what is the probabi...
17 rotten bananas are accidentally mixed with 120 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
One five letter word is to be formed taking all letters – U, Z, M, O and Q. What is the probability that this is word formed will contain all vowe...
A bag has 7 pink, 4 black and 3 yellow balls while another bag has 5 pink, 6 yellow and 3 blue balls. A bag is selected at random and a ball drawn out ...
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?
16 rotten bananas are accidentally mixed with 155 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
- A container holds 7 orange balls, 5 violet balls and 8 grey balls. Two balls are drawn at random. What is the probability that at least one of them is viol...
A box has βxβ black marbles, βx + 5β blue marbles and βx β 1β yellow marbles. If the probability of selecting a yellow marble is 1/28 less...