It takes 10 minutes to pass on a piece of rumour to 3 people. Each of these three people in turn pass it on to three others in 10 minutes. This continues in the same manner. No person hears the same rumour more than once.
How many people would know about the rumour in 30 minutes, assuming that onlyy one person knows about it at the start ?
Rohan, Shikha's boyfriend, had to pick her from her home for a live concert on her 23rd birthday. The venue of the concert and Shikha's home were in opposite directions from Rohan's office. He got late because of some work at office and realised that if he goes to pick Shikha from her home, which was a 48-minute drive from his office, they would be late for the show by 16 minutes. He asked her to start from her home towards his office in an auto-rickshaw and himself started driving towards her home. Both of them started simultaneously, he picked her as soon as they met and they managed to reach the venue just in time for the concert. If Rohan drives at an average speed of 60 km/hr, find the speed (in km/hr) of the auto-rickshaw.
Let S be the set of 5-digit numbers formed by digits 1,2,3,4 &5, using each digit exactly once such that exactly two odd position are occupied by odd digits. What is the sum of the digits in the righmost position of the numbers in S??
Q. Eight years ago, Yellow was half as old as Green will be when Green is one year older than Blue will be at the time when Yellow will be five times as old as Blue will be 2 years from now. Ten years from now Blue will be twice as old as Green was when Yellow was nine times as old as Blue.
When Blue was one year old, Yellow was three years older than Blue will be when Green is three times as old as Yellow was six years before the time when Green was half as old as Blue will be when Yellow will be ten years older than Yellow was when Green was 1/3 rd as old as Blue will be when Yellow will be three times as old as she was when Green was born.
8 straight lines are drawn parallel to each other and the distance between any two lines is 1 cm. Another set of 6 straight lines parallel to each other and each line is at a distance of 1 cm. The first set of 8 lines intersect with 6 lines of the second set to form parallelograms. How many such parallelograms formed will not be rhombuses?
A train going from C to D stops at 9 intermediate stations. 6 persons enter the train during the journey with 6 different tickets of the same class.How many different sets of tickets would they have??
Prateek deposited P in UCUCU Bank in the beginning of 2010 at 10% per annum rate of compound interest. He withdrew 500 at the end of every year. After having withdrawn 500 at the end of year 2012, he was left with no money in his account. What is the approximate value of P?
If m be the greatest value of 'k' for which 100! is divisible by 3^k, then the number of ways of distributing 'k' different things among 5 persons so that two of them get 10 things each, two get 12 things each and 5th one gets 4 things is ??
A tea party is arranged for 16 people along the two sides of a long table with 8 chairs in each side. 4 men wish to sit on one particular side and two on the other side. In how many ways can they be seated?
10 horsess are running in a race, the chances that A wins iare 30%, B wins is 20% and C wins is 10%. What is the probability that one of them will win??
In a horse race, the horse E's cahnces of winning are 1/6, horse N's chances of winning are 1/10 and those of horse B is 1/8. If the race starts with 12 horses and only one horse wins, then what are the chances that one of these horses will win?
The probability of a number n showing in a throw of a dice marked 1 to 6 is proportional to n. Then the probability of the number 3 showing in the throw is
In a city, the local shuttle trains start from and arrive at a station at fixed intervals and run at a uniform speed. A boy was walking down the track at a uniform speed. Every half an hour a local train would overtake him. Every twenty minutes, a local train passed him in the opposite direction. Find the time interval between a local train passing a certain point on the railway route and the immediately next local train passing that point in the same direction!
The coach of a football team says that the probability that player A plays and the team wins is 1/4, player B plays ant the team wins is 1/2 and both play and the team wins is 1/4. He also added that the team has 3/4 chances to win. What is the probability that when either player A or B played, the team won??