Can you identify the direction in which this bus is moving; left or right?
Hint: The bus is moving on the roads of UK.
The bus is moving left because we cannot see the door of the bus in this picture.
We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube ?
There is no number other than 7 that is a prime followed by a cube.
To prove, let us assume that n3-1 is a prime for n.
N2-1 = (n^1)(n2+n+1)
Now, n-1 divides n3-1.
If n-1>1, then we are done as it is a contradiction to n3-1 being a prime.
A landlord calls both of his sons and tells them that their horses will now decide who will be transferred the inheritance. He tells them to race along the land till the end and the one whose horse will be slower will win and be the heir to all the property.
Both of them keep wandering for days but to no result. Then they ask a wise man regarding it. The man advises them over the matter after which they jump on the horses and race as fast as they could till the end. Why did they do it?
What did the wise man say?
The wise man asked them to switch their horses and the race till the end. In this manner they can easily identify whose horse is slowest.
Dr. Doom invited a group of puzzle fanatics in a party which was oriented for having puzzle oriented games. At night, he introduced the guests with a 'unique riddle'. A prize was offered for the one who solved it first.
The guests included six people named Tom Paul, Fox Obama, Jeremy Reener, Alex Murphy, Prim Pastor, and Ellen Page. The winner for the 'unique riddle' contest was to be announce after the dinner. So Dr. Doom stood up and started the announcement:
'Okay now everybody!'
'The winner of…'
'The Hardest Riddle Ever Event'
But before he could complete, the light went out and his voice was not heard without the mic by anyone. But they already knew who the winner was. Can you deduce the name of the winner?
The winner is Fox Obama.
Just analyze the first three statements of Dr. Doom and see the first alphabets of each word in each line.
O N E
T W O
T H R E E
Thus, the next statement must be the one whose initials are F and O to form FOUR.
Thus it is Fox Obama.
The last sentence must be:
'Fox Obama: Ultimate Riddler!'
There are four people in a house. A fireman, an athlete, an old woman and a drunk guy. The house catches fire and before the fact is known, it is too late. All they know is that the entire house is in flames and it will collapse exactly after twelve minutes. Now they can move out of the house but for that, they will have to pass the hallway which is entirely blazing with flames. Thus to move, one must carry a fire extinguisher to keep the flames away. Seeking the burnt wooden floor, only two person can run through that hallway at one time. But for others to go, one must return back with the fire extinguisher. The fireman, is trained for such tasks and can run through the hallway in a minute. The athlete can make it in a couple of minutes. The old woman can run slowly and will cover the hallway in four minutes. The drunk guy will take five minutes to run through it. If all of them can make it through the hallway in twelve minutes, all of them will be saved. When two move together, they will run with the speed of the slower one.
How will all four of them manage to run to safety?
1. Fireman and the fit guy will move first which will take 2 minutes.
2. Fireman will return back with fire extinguisher, taking 1 minutes.
3. Drunk guy will move with old woman taking 5 minutes.
4. The fit guy will return taking 2 minutes.
5. Both the fit guy and fireman will move taking 2 minutes.
2 + 1 + 5 + 2 + 2 = 12 minutes.
You are frying fishes on a pan which can accommodate only 2 fishes at one time. It takes 5 minutes to fry one side of the fish.
What is the shortest time in which you can fry 3 fishes in the same pan ?
Put 2 fishes in the pan. Fry for 5 minutes and then take out one and turn the other one. Also put in the third fish. Now fry for 5 minutes. The fish that you turned must be ready now so take it off while turning the other one. Also put in the fish which was fried from one side only in the pan. Fry them for 5 minutes and all the three fishes are fried now.
Five students - Adam, Cabe, Justin, Michael and Vince appeared for a competitive exam. There were total five questions asked from them from which were multiple choice questions (a, b or c) and three were true/false questions. Their answers are given as follows:
Name I II III IV V
Cabe c b True True False
Adam c c True True True
Justin a c False True True
Michael b a True True False
Vince a b True False True
Also, no two students got the same number of correct answers. Can you tell the correct answer? Also, what are their individual score?
The correct answers are b, a, True, False and False. Also, the scores are Justin (0), Adam (1), Cabe (2), Vince (3) and Michael (4).
Since no two students were able to answer the exact number of correct answers, there can be only two possibilities
1) 1 + 2 +3 + 4 + 5 = 15
2) 0 + 1 + 2 + 3 + 4 = 10
Now let us determine the maximum number of correct answers possible through the answers they gave.
For Question I = 2 (b or c)
For Question II = 2 (b or c)
For Question III = 4 (True)
For Question IV = 4 (True)
For Question V = 3 (True)
Now we know that the maximum number of correct answers possible are 15 (2+2+4+4+3) according to which, Adam would have given all correct answers as only he answered True for questions III, IV and V. But then Cabe and Justin would have given exactly 3 correct answers. And also, Michael and Vince would have given 2 correct answers. Therefore none of them got all the five correct answers. Thus this assumption is wrong.
The total number of correct answers therefore are 10 (0+1+2+3+4). Both Questions III and IV cannot be False as in that case, the number of correct answers would not be 10. So the student who got all wrong answers cannot be Cabe, Adam and Michael.
Suppose if Vince got all wrong, then Cabe, Justin and Michael each would have at least 2 correct answers. Thus, Adam would have to be the student with only one correct answer and in that case, the correct answers for questions I and II would be a and a respectively. But that is not possible as then the total number of correct answers would be 1 (a) + 1 (a) + 1 (False) + 4 (True) + 2 (Flase) = 9.
Thus it is Justin who has given all wrong answers. The correct answers are b, a, True, False and False. Also, the scores are Justin (0), Adam (1), Cabe (2), Vince (3) and Michael (4).
In a holy town, three temples sit in a row identical in almost every manner including a holy well in front of them. A pilgrim comes to visit the temples with some flowers in his basket.
At the first temple, he takes some water from the holy well and sprinkles it on the flowers to wash them. To his astonishment, the number of flowers in his basket doubles up. He offers a few of them at the temple and turns back to visit the second temple.
At the second temple, he again takes some water from the holy well and sprinkles it on the flowers to wash them. Again the number of flowers double up in number. He offers some of them at the temple and turns back to visit the third temple.
At third temple he repeats the process again and the number of flowers double up yet again. He offers all the flowers in the third temple.
Now, the pilgrim offered exactly the same number of flowers in all the temples. Can you find out the minimum number of flowers he must have had initially? How many flowers did he offer to god in each of the three temples?
Let us assume that there were x flowers present in the basket of the pilgrim and he offered y flowers at each temple. Now as per the details given in the question, the number of flowers when he came out of the third temple.
But the number of flowers when he comes out of the third temple must be (8x – 7y)
Thus (8x – 7y) = 0
8x = 7y
Now the minimum values that you can put by hit and trial are 7 and 8 for x and y respectively.
Thus, the pilgrim had 7 flowers in the beginning and he offered 8 flowers at each temple.