A company ‘XYZ’ engages three small companies P,Q and R to manufacture 100 cricket bats per day. Every person in companies P,Q and R can manufacture 2, 3 and 8 cricket bats per day respectively. Companies P, Q and R charge Rs. 20, Rs. 25 and Rs. 15 respectively for every bat manufactured by them. The number of persons involved in manufacturing bats for company ‘XYZ’ from company P is not greater than the total number of persons involved in manufacturing bats from companies Q and R. At least one person from each of the companies P, Q and R is involved in making bats.
Find the minimum possible expenditure incurred by the company ‘XYZ’ to manufacture 100 bats.
In a mixed doubles tennis tournament, a team always consists of one male and one female player. In a certain mixed double tennis tournament, four females and four males are participating. In every round, every possible pair will play against every other possible pair. After every round, one female and one male will be eliminated. The process continues until only one female and one male is left, and this pair is called the winning pair of the tournament. What is the total number of matches to be played to decide the winning pair?
After travelling 30 min, a train met with an accident and was stopped there for 45 min. Due to the accident, its speed reduced to (2/3)rd of its initial speed and the train reached its destination 90 min late. Had the accident occurred 60 km after the point it occurred earlier, the train would have reached 30 min earlier. Find the length of the journey.
How many subsets containing at most n elements from the set of 2n+1 elements can be selected?
Ans is 2^2n.
Please explain how? Can we put some values of n and check?
a contractor undertook piece of work in 150 days.he employed 20 men,30women and 75 children for it,but at end of 60 days finding that 1/4 of work is done, he dismissed all the women and 50 of the children and employed more man.the work was finished 5 days before the estimated time.assume that 3 men could do as much as 5 women and 2 women as much as 3 children.find the additional men employed by contractor.
If 8th term of an AP is the GM of 1st &22nd terms of the same AP.find the common difference of the AP given that the sum of the first 22 terms of the AP is 770. Please xplain the approach .ANS is 2
Three boys A, B and C start running at constant speeds from the same point P along the circumference of a circular track. The speeds of A, B and C are in the ratio 5:1:1. A and B run clockwise while C runs in the anticlockwise direction. Each time A meets B or C on the track he gives them a card. What is the difference in the number of cards received by B and C if A distributes 33 cards in all?
Ans:7.
I did it by taking ratios of meeting times and counting. Pls share if any other approach
Four distinct coins are randomly placed into one or more of five different boxes. Find the probability that exactly 3 boxes will have at least one coin?
Suppose you have a large barrel containing a number of plastic eggs. Some eggs contains pearls, the rest contains nothing. Some eggs are painted blue, the rest painted red. Suppose that 40% of the eggs are painted blue, (5/13) of the eggs containing pearls are painted blue, and 20% of the red eggs are empty.
What is the probability that an egg painted blue contains a pearl ??
Explain your answer
A man covered a certain distance at some speed. Had he moved 3 km per hour faster, he would have taken 40 minutes less. If he had moved 2 km per hour slower, he would have taken 40 minutes more. The distance (in km) is:
Specify the approach also. Did it but took me long enough !!