Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 5:8 respectively. If 90 more faculties join Physics, while 48 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together? ĀSolution
Let the original number of faculties in Physics and Biology be 5x and 8x respectively According to the question, Ā => (5x + 90)/(8x + 48) = 3/4 => 24x + 144 = 12x + 360 => x = 54 Original number of faculties = 5x + 8x = 13x = 13 Ć 54 = 702
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...
In how many ways can the letters of the word "COMPUTER" be arranged, and what is the probability that all the vowels in these arrangements always appear...
A bag contains 9 blue balls, 16 red balls, and 20 green balls. One ball is drawn at random. Find the probability that the ball drawn is either blue or g...
A game consists of tossing three coins once and then rolling two dice. Find the probability of getting at least two heads in the coin toss and a sum equ...
A bag contains 10 black, 8 red and 12 yellow balls. Two balls are randomly drawn from the bag, what is the probability that a red and a yellow ball are ...
In an examination, there are three sections namely Reasoning, Math, and English. The reasoning part contains 7 questions. There are 4 questions in the m...
The names of 6 students from section A, 7 students from section B and 8 students from section C were selected. The age of all the 21 students was differ...
A letter is taken out at random from āCHACHAKEā and another is taken out from āPATAKHEā. The probability that they are the same letter isĀ
...A basket contains 3 pink, 4 blue and 5 yellow wools. If three wools are picked at random, what is the probability that either all are blue or either all...
Roger Federer play 3 sets of a tennis match. The probability of his winning the three sets are 1/9,1/4,3/4 respectively. What is the probability that he...
Relevant for Exams:
