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  1. How many different four letter words can be formed (the words need not be meaningful) using the letters of the word "MEDITERRANEAN" such that the first letter is E and the last letter is R?
  2. A 52
  3. B 56
  4. C 59
  5. D None Of These
  6. 2. Next number in the sequence: 1, 11 ,21 ,1211 ,111221, 312211 ,13112221 ? [pure logic]
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  8. 3. Given a fleet of 50 trucks, each with a full fuel tank and a range of 100 miles, how far can you deliver a payload? You can transfer the payload from truck to truck, and you can transfer fuel from truck to truck. Assume all the payload will fit in one truck.
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  10. 4. How many permutations of 1,2,3,4,5,6 are such that each odd number is next to at least one even number ?
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  12. 5. Game- 400 persson are standing in a circle everybody has a specific location,like first person standing at place of 1,like that and 400th person has gun ,he shoot his neighbour and pass to neighbour of dead person …..this circulation will be clock wise,meas at first 400th person ‘ll shoot to 1 st person,and giv the gun to 2nd person,then guestion is this ,who will live in last…
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  14. 6. There is a building of 100 floors
  15. -If an egg drops from the Nth floor or above it will break.
  16. -If it’s dropped from any floor below, it will not break.
  17. You’re given 2 eggs.
  18. Find N
  19. How many drops you need to make?
  20. 7. Equilateral triangle. Each ant randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?
  21. How about other shapes, Square? N sides? [a bit time taking]
  22. 8. A man needs to go through a train tunnel. he starts through the tunnel and when he gets 1/4 the way through the tunnel, he hears the train whistle behind him. you don’t know how far away the train is, or how fast it is going, (or how fast he is going). all you know is that
  23. 1. if the man turns around and runs back the way he came, he will just barely make it out of the tunnel alive before the train hits him.
  24. 2. if the man keeps running through the tunnel, he will also just barely make it out of the tunnel alive before the train hits him.
  25. assume the man runs the same speed whether he goes back to the start or continues on through the tunnel. also assume that he accelerates to his top speed instantaneously. assume the train misses him by an infintisimal amount and all those other reasonable assumptions that go along with puzzles like this so that some wanker doesn’t say the problem isn’t well defined.
  26. how fast is the train going compared to the man?
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  28. 9. The probability of a bus passing through a certain intersection in a time window of 20 min. is 0.9
  29. What is the probability of the same bus passing through the same intersection in 5 min.
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  31. 10. Given the polygons P and Q as shown in the grid below, cut P into two polygons P1 and P2 such that, when pasted together differently, they form Q.
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  39. 11. The number N represents the first 6 digits of a special number. N consists of three prime numbers put side by side. These three prime numbers come xth, yth and zth on the list of primes, where x, y and z are themselves three consecutive primes (for example, x, y and z could be 3, 5 and 7, in which case we'd be looking at the third, fifth and seventh prime numbers). In addition, if N is split in the middle into two separate numbers, the prime factors of the left part of N add up to its right part. What is N? And what is the special number whose first 6 digits it forms?
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  41. 12. Two creepers, one jasmine and other rose, are both climbing up and round a cylindrical tree trunk. jasmine twists clockwise and rose anticlockwise, both start at the same point on the ground. before they reach the first branch of the tree the jasmine had made 5 complete twists and the rose 3 twists. not counting the bottom and the top, how many times do they cross?
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  43. 13. There are 100 prisoners in 100 separate locked cells. During the night each of 100 prison officers visits the cells. The first officer visits every cell. The second officer visits cells 2,4,6,... etc (every 2nd cell), the third officer visits cells 3,6,9,..etc (every third cell), the fourth officer visits every fourth cell, and so on until the 100th officer visits the 100th cell. On a visit each officer unlocks the door if it is locked or locks the door if it is unlocked. If the cell remains unlocked after all officers have completed their rounds, the prisoner can escape. In the morning, how many prisoners have escaped and why?
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  45. 14. There are 5 persons who have won top 5 places in an event Olympics one of them asks all the 5 regarding their positions they reply as a: I am not the last b: c is in third place c: e is behind a d: b is in 1st place e: d is not the first . find positions in order.
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  47. 15. Imagine you are in a room with 3 switches. In an adjacent room there are 3 bulbs (all are off at the moment), each switch belongs to one bulb. It is impossible to see from one room to another. How can you find out which switch belongs to which bulb, if you may enter the room with the bulbs only once? [Hint: assume as real world type problem,just logic ]
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  49. 16. Ramu says to Karan, “Can you figure out how many Eggs I have in my bucket?” He gives 3 clues to Karan: If the number of Eggs I have
  50. 1. is a multiple of 5, it is a number between 1 and 19
  51. 2. is not a multiple of 8, it is a number between 20 and 29
  52. 3. is not a multiple of 10, it is a number between 30 and 39
  53. How many Eggs does Ramu have in his bucket?
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  55. 17. Can u make 120 with 5 zeros?
  56. Ans: ( 0! + 0! + 0! + 0! + 0! )! [can frame a question with blanks] [donno how to frame it]
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  58. 18. Fing angle “a ”.
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  70. [geometry]
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  74. 19. There is a precious gem whose cost is directly proportional with the cube of its weight. That gem is broken into three pieces whose weights are in the ratio of 4:5:6. If the gem was broken into three pieces of equal weights, then the merchant would have suffered a further loss of 24000.
  75.  
  76. Can you calculate the cost price of the unbroken gem?
  77.  
  78. 20. We have a five digit number in mind. The fifth digit of the number is fourth of the third digit and one half of the fourth digit. The third digit is one half of the first digit and the second digit is five more than the fifth digit.
  79.  
  80. We know that it is pretty confusing but can you determine the five digit number with the data given?
  81.  
  82. 21. In the following equation, add any standard arithmetic signs to make it true.
  83. 3 1 3 6 = 8
  84.  
  85. 22. Solve the following
  86.  
  87.  
  88.  
  89.  
  90. ABC
  91. * DEC
  92. ----------
  93. FBGC
  94. FHCE
  95. GDE
  96. ----------
  97. HBHIC
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  100. 23. When Peter married 10 years ago, his wife was the sixth member of his family. Today his father dies and a baby was born to him. The average age of his family during his marriage is the same as it is now.
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  102. Can you calculate the age when his father died?
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