Find the missing number in the given picture puzzle.
Both 0 and 16 will suffice the missing number.
This is because, there is no specific pattern in this picture. The only thing that you will notice is that the numbers are continuous and jumbled up.
Thus the number can be 0 or 16.
You have a thousand Re. 1 coins with you. You have ten bags with you and you can put any number of coins in each of the bags. The condition is that if someone asks you for any amount between 1 and 1000, you must be able to give that amount by just giving the bag (you are not allowed to open the bag and give coins).
How will you do it ?
First Bag = 1 Coin
Second Bag = 2 Coins
Third Bag = 4 Coins
Fourth Bag = 8 Coins
Fifth Bag = 16 Coins
Sixth Bag = 32 Coins
Seventh Bag = 64 Coins
Eighth Bag = 128 Coins
Ninth Bag = 256 Coins
Tenth Bag = Remaining Coins.
Now think of any amount between 1 and 1000 and you will be able to give it by using bags (without opening them)
Can you find out the number of squares in the given picture?
There are 12 squares in the picture.
The trick to find it would be drawing diagonals. We know that the sides of a square are parallel and thus, the diagonals should be parallel as well. Let us begin with the outer most rectangle. See the picture. The yellow lines are diagonals drawn for reference.
http://1.bp.blogspot.com/-aGHzJWfxtEY/U2_Yh0HBt1I/AAAAAAAAC6s/VCeYXzdT1rk/s1600/how-many-squares-puzzle-solution-1.png
You can make out four squares in the image.
http://1.bp.blogspot.com/-lTktLIzp260/U2_Yh67sYFI/AAAAAAAAC68/JHsFRRPVhMs/s1600/how-many-squares-puzzle-solution-2.png
Now see the next image. You can make out a total of 8 squares - 3 blue, 3 green and 2 red. There are 4 other rectangles in the figure but they cant be square as their diagonal is not parallel with the yellow lines we drew for reference.
Thus, total squares = 4 + 8 = 12.
Three people check into a hotel. They pay $60 as the rent of the room. After they check-in, the manager realize that the rent for the room is $55. So, he gives $5 to the bellboy and asks him to give it to them. The bellboy thinks that it will be difficult for the three people to share $5 among them and seeking the personal benefit, he pockets $2 and gives the remaining $3 to them.
Now, each person paid $20 and got back $1. In this manner, each of them paid just $19 which totals to the amount of $57. The bellboy has $2 with him and adding them, we get $59. So where is the remaining $1?
This is a classic riddle. The trick is to be careful how you are adding things. They paid $60 originally and received back $3. So in this manner, they have paid just $57 for the rent. Out of this $57, $55 are with the manager and $2 are with the bellboy.
You and your two friends are working in a multinational company. How can you three find out the average salary of you all without disclosing your own salary to the other two ?
Let us say that the three people are A, B and C respectively. Now you, A will tell the sum of your salary and a random number to B.
SA (Actual Salary) + A (random number of A)
In the same manner your friend B, will add his salary with a random number to the amount given by A (you) and will pass it to C.
(SA + A) + (SB + B)
C will do the same.
(SA + A) + (SB + B) + (SC + C)
Now C will pass this total amount to A. He will subtract his random number from the amount and it will become:
(SA) + (SB + B) + (SC + C)
Then he will pass it to B and B will subtract his random number from the amount.
(SA) + (SB) + (SC + C)
Then he will pass this to C who will subtract his random number.
(SA) + (SB) + (SC)
Now C has the total amount of their combined salaries. He will tell the amount to all of you and you can easily divide it by 3 to get the average salary.
Find the number of squares in the given picture.
There are 17 squares in the given picture.
If the smallest square is of 1 unit,
Then there are 6 squares of 1 unit side, 8 squares with side 2 unit, 2 squares with ide 3 unit and 1 square with side 4 unit.
Complete the given grid with valid words. You can only use the letters AAEEIIMMPPTT.Hint: The grid reads the same across as down.
Limp, Idea, Meat and Pate are the words.
In a bicycle wheel if there would have been 10 more spokes, the angle between them would have shortened by six degrees. Can you find out the number of spokes in that wheel ?
There are 20 spokes in the given wheel.
360/S = A
360/(S +10) = A - 6
See the given picture. Can you find out the combined weight of Cat, Dog and Rabbit?
Let us use equations to solve this puzzle.
Rabbit + Cat = 10 Kg ---- Eq. 1
Dog + Rabbit = 20 Kg ---- Eq. 2
Cat + Dog = 24 Kg ---- Eq. 3
Now add all the three equations
2(Cat) + 2(Dog) + 2(Rabbit) = 10 + 24 + 24
2 (Cat + Dog + Rabbit) = 54
Cat + Dog + Rabbit = 27.
A murder has been committed in a house. You are a detective and have to find out the murderer.
You investigate by asking three questions to each of the six suspects. Out of those six suspects, four are liars. It is not necessary that they speak everything a lie. But in their answers, there must be at least one lie. One of the six is the murderer.
There are eight rooms in the house in which the murder has been committed: Kitchen, Living Room, Bathroom, Garage, Basement, 3 Bedrooms.
At the time of the murder, only the murderer was present in the killing room. Any number of people can be present in any of the other rooms at the same time.
Can you identify the murderer and the four liars? Also can you find out who was in which room?
The responses of all the suspects are mentioned below.
Joseph:
Peter was in the 2nd bedroom.
So was I.
David was in the bathroom.
Mandy:
I agree with Joseph that David was in the bathroom and Peter was in the 2nd bedroom.
But I think that Joseph was in the living room, OH MY GOD!
Peter:
Mandy was in the kitchen with Christopher.
But I was in the bathroom.
David:
I still say Peter was in the 2nd bedroom and Jennifer was in the bathroom.
Joseph was in the 1st bedroom.
Jennifer:
Peter was in the bathroom with Christopher.
And Mandy was in the kitchen.
Christopher:
David was in the kitchen.
And I was in the 2nd bedroom with Peter.
PS: The corpse was found in the Living Room.
Assume that Peter is not in the second bedroom. This suggests that Joseph, Mandy, David and Christopher are liars. This further suggests that Peter and Jennifer speak truth. But they cannot be as they do not correspond on Christopher's location. Hence we have assumed wrong and Peter is in second bedroom.
By saying that, we have established that Peter is in the second bedroom. Also, Peter and Jennifer are liars
Assume that Joseph speaks truth. This suggests that David is in the bathroom and Joseph in the second bedroom. This further suggests Mandy and David are liars as they told that Joseph was not in the second bedroom. Also suggests that Christopher lied, as he said David is in kitchen. Therefore, there are three new liars, totaling 5 liars, which is a contradiction given the situation in the question.
Thus, we have established that Joseph is a liar
Assume that Mandy speaks truth. This suggests that Joseph was in the living room and David in the Kitchen. This further suggests that David and Christopher are liars. But again, this contradicts as we have concluded that there are again 5 liars (including above 3 established liars)
Thus, we have established that Mandy is a liar. David and Christopher speak truth. Jennifer was in the bathroom. Joseph was in the first bedroom. David was in the kitchen. Christopher was in second bedroom with Peter.
The killer has to be Mandy as no one else was present in the living room