Question
Which is the first function to be held in the banquet
hall? Study the following information and answer the questions based on it. 1. A banquet hall is booked for six continuous days for different functions (Birthday, Anniversary, Wedding, Reception, Farewell, Engagement, Sangeet ceremony, Mehendi ceremony, Haldi ceremony, Conference, Cocktail party and Retirement party) not necessarily in the same order. These functions are to be held either in the morning slot or in the evening slot through 6 days starting from Monday up till Saturday. 2. Only two functions are held before Birthday party. 3. Sangeet to be held on the last day. 4. Farewell to be held only before two functions. Cocktail party to be held in the same slot as the farewell. 5. Haldi ceremony to be held before conference and reception but not on Monday. Slots for all three are the same. 6. Conference is not to be held on Saturday. 7. The number of functions between Engagement and anniversary are same as the number of functions between cocktail and reception. But, Engagement is not held after reception. 8. Wedding is held on the same day of the Anniversary party. Retirement party to be held on the same day as the reception party and in the same slot as the birthday party.Solution
From 1,2,3 From 8, Retirement party to be held on the same day as the reception party and in the same slot as the birthday party. But since Haldi is to be held before reception and conference, neither reception, retirement party nor Conference can be held on Monday. Also, Haldi not be held on Monday and Conference is not to be held on Saturday. Thus,
Dividing the above table in two cases for better understanding. Case I – Conference on Wednesday Case II - Conference on Thursday
Wedding is held on the same day of the Anniversary party. Also Cocktail is an evening function. Thus, Sangeet must be held in the morning
The number of functions between Engagement and anniversary are same as the number of functions between cocktail and reception.
Final arrangement as shown below: 
Two fair dice are thrown. What is the probability that the sum is a prime number?
The names of 17 students from section A, 18 students from section B and 19 students from section C were selected. The age of all the 54 students was dif...
A bag contains (2x + y) red balls, 32 black balls, and (3x β y) yellow balls. The probability of drawing a red ball is 4/13, and the probability of dr...
Given that E and F are events such that P(E) = 0.8, P(F) = 0.4 and P(Eβ© F) = 0.2. Find P(F|E).
Two schools, A and B participate in a Quiz competition. The probability of A’s winning is 3/7 and the probability of B’s winning is 3/5. Wha...
Three persons i.e. βPβ, βQβ and βRβ, are given the same puzzle to solve. The probability that βPβ, βQβ and βRβ will solve the pu...
A bag contains 8 Green and 10 Red balls. One ball is drawn at random. What is the probability that the ball drawn is Red?
Two hats are picked at random, what is the probability that all hats are of green colour?
Two schools, A and B participate in a Quiz competition. The probability of A’s winning is 3/7 and the probability of B’s winning is 3/5. Wha...
What is the probability that the cards drawn contains 1 red card, 1 purple card and 1 yellow card?