Collection of these 6 very interesting riddles
A farmer is returning from market, where he bought a she-goat, a wolf and cabbage. On the way home he must cross a river. His boat is little, allowing him to take only one of the three things. He can’t keep the she-goat and the cabbage together (because the she-goat would eat it), nor the she-goat with the wolf (because the she-goat would be eaten). How shall the farmer get everything on the other side (without any harm)?
Round shape manhole cover
3 doors 2 goats and a car problem
Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1.
Now the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to switch and pick door No. 2?”
What should you do? Would you will with your current choice (door no. 1) or should you pick the door no. 2 ?
See Answer
3 doors 2 goats and a car solution
You might still be thinking that there are fifty-fifty chances of winning the game, that is right only when host did not know what was behind the 3rd door, as he knew it already your probability of winning the car will be more when you switch.
Reference: http://www.businessinsider.com/the-most-controversial-math-problems-2013-3#-2
6 4 4 N
4 1 L 7
5 U 6 10
? 1 14 2
Check your answer:-
See Explanation
minimum wins to qualify for playoffs
There are 9 team participating in Indian Premier League, every team will play two matches with every other team. Top 4 teams will be qualified for playoffs.
How many minimum wins required for a team to ensure a place in playoffs?
See SolutionCase 1: Lets say if Team A and B and C wins 14 matches each(they will loose 1 game each from other two teams), then team D can win only 16 – 3*2 = 10 matches.
Case 2: Lets take a case where Top 4 team wins 13 games each
Team A: wins 13 matches, looses 3 games from B,C and D
Team B: wins 13 matches, looses 3 games from A,C and D
Team C: wins 13 matches, looses 3 games from A,B and D
Team D wins 13 matches, looses 3 games from A, B and C
Now Team E, can only win maximum of 8 matches as it A,B,C and D will win all matches played by E.
Case 3: Lets say top 5 teams wins 12 matches each
Team A: wins 12 matches, looses 3 games from B, C, D and E
Team B: wins 12 matches, looses 3 games from A, C, D and E
Team C: wins 12 matches, looses 3 games from A, B, D and E
Team D wins 12 matches, looses 3 games from A, B , C and E
Team E wins 12 matches, looses 4 games from A, B, C and D
In this case, team E though wins 12 matches but still don’t qualify for playoffs(assuming lowest run rate).
Thus from case 2 we can say that a team has to win at least 13 matches to ensure a place in playoffs.
A boy has few toffees with him, then comes one of his friend and they decide to share them equally and they are able to divide them without any toffee remaining. Then one more friend comes and they divide the toffees in 3 equal parts, then one more friend comes, they are still able to divide the toffees in 4 equal parts, then comes one more friend, they are still able to divide them equally, similarly they are able to divide it equally in 5 and 6 equal parts but not when they are 7 and decide to divide equally they are left with one extra toffee.
Can you tell the minimum number of toffees boy had initially ?
There is a 9 digit number. No digit are repeated and rightmost digit is divisible by 1 and right 2 digits is divisible by 2, right 3 digits is divisible by 3 and so on, finally the whole number is divisible by 9.
Can you find out the number?
See SolutionNow, Right 4 digits are divisible by 4, so the rightmost two digits can be either 20, 40, 80 or 60.
To be divisible by 9 the digits of a number must sum to a multiple of 9. Adding the 10 digits together (0+1+2+…+8+9) gives 45 which is div by 9. However, this is a 9-digit number so we have to drop one from the ten. We can only take out 0 or 9 and still have the remaining digits sum to a multiple of 9. We’ve already shown that 0 is present so the 9 is dropped.
Right 3 digits are divisible by 3 so these 3 digits can be 120, 420, 720, 240, 540, 840, 180, 480, 780, 360.
Now to be divisible by 6 sum of the six digits should be divisible by 3 and it should also be even, which it is.
There is no rule for divisible by 7 so we just have to take digits such that they are divisible by 7, there can be many such numbers and one such number is 123567480.
Three friends A, B and C went on a trip.
A didn’t carry any food with him but had 13 Coins. B had 6 sandwiches, and C had 7 sandwiches with him (Total 13 Sandwiches).
They decided to share the food equally and in return A would give away all 13 coins to B & C.
How should B & C distribute the money?
Since they have to share the sandwiches equally, each of them will get 13/3 sandwiches.
Hence the sandwiched contributed by B and C to A.
B: 6 – 13/3 = 5/3
C:7 -13/3 = 8/3
Now A should give the money in the ratio of what he got from B and C, i.e.
5/3:8/3 :: 5:8
Hence B will get 5 and C will get 8 coins.
3,7,5=>26
3,2,1=>5
2,8,6=>44
5,4,9=>?
Check your answer:-
See Explanation
