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Puzzles Interview Questions & Answers  Learning ModeA puzzle is a game, problem, or toy that tests a person's ingenuity or knowledge. In a puzzle, one is required to put pieces together in a logical way, in order to arrive at the correct solution of the puzzle. The Random House dictionary defines a puzzle as "a toy or other contrivance designed to amuse b presenting difficulties to be solved by ingenuity or patient effort." Lesson: the two main skills for solving puzzles are ingenuity and patience. 

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Question: If you look at a clock and the time is 3:15. What is the angle between the hour and the minute hands? ( The answer to this is not zero!) Answer: 7.5 degrees At 3:15 minute hand will be perfactly horizontal pointing towards 3. Whereas hour hand will be towards 4. Also, hour hand must have covered 1/4 of angle between 3 and 4. The angle between two adjacent digits is 360/12 = 30 degrees. Hence 1/4 of it is 7.5 degrees. Source: CoolInterview.com 
Question: 500 men are arranged in an array of 10 rows and 50 columns according to their heights. Tallest among each row of all are asked to come out. And the shortest among them is A. Similarly after resuming them to their original positions, the shortest among each column are asked to come out. And the tallest among them is B. Now who is taller A or B ? Answer: No one is taller, both are same as A and B are the same person. As it is mentioned that 500 men are arranged in an array of 10 rows and 50 columns according to their heights. Let's assume that position numbers represent their heights. Hence, the shortest among the 50, 100, 150, ... 450, 500 is person with height 50 i.e. A. Similarly the tallest among 1, 2, 3, 4, 5, ..... 48, 48, 50 is person with height 50 i.e. B Now, both A and B are the person with height 50. Hence both are s Source: CoolInterview.com 
Question: There are 3 containers. One is of8 litre capacity which is full, other two are of 5 & 3 litre capacity but empty. We have to distribute 8 litre like 4 ltr at one container and 4 ltr at other. We don't have any measuring instruments, how to distribute equally?
Answer: Take the 8L and pour it into the 5L container until it is full. Then pour the 5L into the 3L container. Now the 5L container will have 53=2L. Pour this into one of the 4L containers. Now pour back the 3L from the 3L container into the 5L container. Fill up the remaining 2L (53=2) by pouring water from the 8L container. Once again, pour the 5L into the 3L container until it is full, leaving behind another 2L in the 5L container. Empty this into the same 4L container previously filled with 2L. N Source: CoolInterview.com 
Question: Substitute digits for the letters to make the following relation true. S T I L L + W I T H I N  L I M I T S Note that the leftmost letter can't be zero in any word. Also, there must be a onetoone mapping between digits and letters. e.g. if you substitute 3 for the letter S, no other letter can be 3 and all other S in the puzzle must be 3. Answer: The value of L must be one more than W i.e. L=W+1 and there must be one carry from S+I=I. Also, the value of S must be 9 as S+I=I with one carry from T+T=M, which means that the value of T must be greater than 4. From I+H=I, the value of H must be 0 as the value of S is 9. Now, applying all those constraints and using trialnerror, we get two possible answers. 9 7 1 6 6 9 8 5 3 3 + 5 1 7 0 1 3 + 2 5 8 0 5 6   6 1 4 1 7 9 3 5 6 5 8 9 Source: CoolInterview.com 
Question: In the middle of the confounded desert, there is the lost city of "Ash". To reach it, I will have to travel overland by foot from the coast. On a trek like this, each person can only carry enough rations for five days and the farthest we can travel in one day is 30 miles. Also, the city is 120 miles from the starting point. What I am trying to figure out is the fewest number of persons, including myself, that I will need in our Group so that I can reach the city, stay overnight, and then return to the coast without running out of supplies. How many persons (including myself) will I need to accomplish this mission? Answer: Total 4 persons (including you) required. It is given that each person can only carry enough rations for five days. And there are 4 persons. Hence, total of 20 days rations is available. 1. First Day : 4 days of rations are used up. One person goes back using one day of rations for the return trip. The rations remaining for the further trek is for 15 days. 2. Second Day : The remaining three people use up 3 days of rations. One person goes back using 2 days of rations for th Source: CoolInterview.com 
Question: .Which number in the series does not fit in the given series: 1 4 3 16 6 36 7 64 9 100 Answer: This is a series with odd positions containing position number whereas even positions containing square of the position.i.e. even position numbers are 4 16 36 64 100 and odd position numbers are 1 3 5 7 9 Hence, 6 does not fit in the series. It should be 5. Source: CoolInterview.com 
Question: .Which number in the series does not fit in the given series: 1 4 3 16 6 36 7 64 9 100 Answer: This is a series with odd positions containing position number whereas even positions containing square of the position.i.e. even position numbers are 4 16 36 64 100 and odd position numbers are 1 3 5 7 9 Hence, 6 does not fit in the series. It should be 5. 6.What are the next three numbers in the given series? 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 ? Source: CoolInterview.com 
Question: A cricket team of 11 players lined up in a straight line to have their photograph. The captain was asked to stand in the center of the lineup. 1) Bharat and Bhavin stood to the right of the captain 2) Two players stood between Bhagat and Bhairav 3) Seven players stood between Bhadrik and Bhanu 4) Bhavesh stood to the right of Bhuvan 5) Bhola and Bhumit stood either side of Bhagat 6) Bhavik and Bhumit stood to the left of the captain 7) Six players stood between Bhavin and Bhagat 8 ) Two players stood between Bhagat and Bhavik Who is the captain? Can you tell the positions of all the palyers? Answer: Players from left to right : Bhavik, (Bhadrik/Bhanu), (Bhola/Bhumit), Bhagat, (Bhola/Bhumit), BHUVAN, Bhairav, (Bharat/Bhavesh), (Bharat/Bhavesh), (Bhadrik/Bhanu), Bhavin Let's number the positions 1 to 11 from left to right. Hence, the captain is at position 6. Now, looking at the clues 7, 5, 2 and 8 together: Poistion 1  Bhavik or Bhairav Position 3  Bhumit or Bhola Position 4  Bhagat Position 5  Bhumit or Bhola Poistion 7  Bhavik or Bhairav Position 11  Source: CoolInterview.com 
Question: There are 10 statements written on a piece of paper: 1. At least one of statements 9 and 10 is true. 2. This either is the first true or the first false statement. 3. There are three consecutive statements, which are false. 4. The difference between the numbers of the last true and the first true statement divides the number, that is to be found. 5. The sum of the numbers of the true statements is the number, that is to be found. 6. This is not the last true statement. 7. The number of each true statement divides the number, that is to be found. 8. The number that is to be found is the percentage of true statements. 9. The number of divisors of the number, that is to be found, (apart from 1 and itself) is greater than the sum of the numbers of the true statements. 10. There are no three consecutive true statements. Find the minimal possible number? Answer: The numebr is 420. If statement 6 is false, it creates a paradox. Hence, Statement 6 must be true. Consider Statement 2: * If it is true, it must be the first true statement. Otherwise, it creates a paradox. * If it is false, it must be the second false statement. Otherwise, it creates a paradox. In both the cases, Statement 1 is false. As Statement 1 is false, Statement 9 and Statement 10 both are false i.e. there are three consecutive true statements. 1 2 3 Source: CoolInterview.com 
Question: Consider an n by n grid of squares. A square is said to be a neighbour of another one if it lies directly above/below or to its right/left. Thus, each square has at most four neighbours. Initially, some squares are marked. At successive clock ticks, an unmarked square marks itself if at least two of its neighbours are marked. What is the minimum number of squares we need to mark initially so that all squares eventually get marked? Answer: 3 square marks initially at location (1,1), (1,2) and (2,1). Then it marks all square by considering atleast 2 marks square. Source: CoolInterview.com 
Question: A rich man died. In his will, he has divided his gold coins among his 5 sons, 5 daughters and a manager. According to his will: First give one coin to manager. 1/5th of the remaining to the elder son. Now give one coin to the manager and 1/5th of the remaining to second son and so on..... After giving coins to 5th son, divided the remaining coins among five daughters equally. All should get full coins. Find the minimum number of coins he has? Answer: We tried to find out some simple mathematical method and finally we wrote small C program to find out the answer. The answer is 3121 coins. Here is the breakup: First son = 624 coins Second son = 499 coins Third son = 399 coins Forth son = 319 coins Fifth son = 255 coins Daughters = 204 each Source: CoolInterview.com 
Question: What are the next three numbers in the given series? 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 ? Answer: The next three numbers in the series are 4, 3, 4. The pattern is  the number of 1's in the binary expansion of the positive integers starting from 1. Number Binary Equivalent # of 1's 1 1 1 2 10 1 3 11 2 4 100 1 5 101 2 6 110 2 7 111 3 8 1000 1 9 1001 2 10 1010 2 11 1011 3 12 1100 2 13 1101 3 14 1110 3 15 1111 4 16 10000 1 17 10001 2 18 10010 2 19 10011 3 20 10100 2 21 10101 3 22 10110 3 23 10111 4 CoolInterview.com 
Question: A series comprising of alphabets contains 13 letters. The first seven letters in the given series are A, E, F, H, I, L, M Can you find the next two letters? Answer: The next letters in the series are N, O, R, S, U, X. The pattern is  letters whose English names (Phonetic Pronunciations) start with vowels. Source: CoolInterview.com 
Question: There are 3 containers. One is of8 litre capacity which is full, other two are of 5 & 3 litre capacity but empty. We have to distribute 8 litre like 4 ltr at one container and 4 ltr at other. We don't have any measuring instruments, how to distribute equally?
Answer: No answer available currently. 
Question: Substitute digits for the letters to make the following Division true O U T  S T E M  D E M I S E  D M O C  T U I S S T E M  Z Z Z E Z U M M  I S T Note that the leftmost letter can't be zero in any word. Also, there must be a onetoone mapping between digits and letters. e.g. if you substitute 3 for the letter M, no other letter can be 3 and all other M in the puzzle must be 3. Answer: C=0, U=1, S=2, T=3, O=4, M=5, I=6, Z=7, E=8, D=9 It is obvious that U=1 (as U*STEM=STEM) and C=0 (as IC=I). S*O is a single digit and also S*T is a single digit. Hence, their values (O, S, T) must be 2, 3 or 4 (as they can not be 0 or 1 or greater than 4). Consider, STEM*O=DMOC, where C=0. It means that M must be 5. Now, its simple. O=4, S=2, T=3, E=8, Z=7, I=6 and D=9. O U T 4 1 3   S T E M  D E M I S E 2 3 8 5  9 8 5 6 2 8  D M Source: CoolInterview.com 
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