Reasoning and Quantitative Aptitude
SOLVED EXAMPLES:
Puzzle Test
1. Classification Type Questions:
Ex.1: Study the following information carefully and answer the given questions. i. ii. iii. iv. v. Question: 1. Who is good in Physics, History and Dramatics? a) A b) B c) D d) E B and E are good in Dramatics and Computer Science. A and B are good in Computer Science and Physics A, D and C are good in Physics and History C and A are good in Physics and Mathematics D and E are good in History and Dramatics
2. Who is good in Physics, History and Mathematics, but not in Computer Science? a) A b) B c) D d) E
3. Who is good in Computer Science, History and Dramatics? a) A b) B c) D d) E
4. Who is good in Physics, History, Computer Science and Mathematics? a) A b) B c) D d) E
5. Who is good in Physics, Dramatics and Computer Science? a) A b) B c) D d) E
Solution: Dramatics A X Computer Science Physics History Mathematics
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Reasoning and Quantitative Aptitude
B C D E X X X X X
Puzzle Test
X
X X
Answers: From Table it is clear that, 1. c 2. c 3. d 4. a 5. b
———————————————————————————————————-Ex. 2: B, M, T, R, K, H and D are travelling in a Train compartment with III-tier sleeper berth. Each of them as a different profession of engineer, doctor, architect, pharmacist, lawyer, journalist and pathologist. They occupied two lower berth, three middle berth and two upper berth. B, the engineer, is not the upper berth. The architect is the only other person who occupies the same type of berth as that of B. M and H are not on the middle berth and their professions are pathologist and lawyer respectively. T is a pharmacist. D is neither a journalist nor an architect. K occupies the same type of berth as that of doctor. Question: 1. Who is Architect? a) D b) H c) R d) data in adequate
The Term Paper on History Of Computers 5
HISTORY HISTORY OF COMPUTERS IN THE U.S. Only once in a lifetime will a new invention come about to touch every aspect of our lives. Such devices changed the way we manage, work, and live. A machine that has done all this and more now exists in nearly every business in the United States. This incredible invention that I use all day, 5 days of a week is the computer. I have been using a computer ...
2. What is D’s profession? a) Pharmacist b) Lawyer c) Doctor d) Engineer
3. Which of the following pairs occupy the lower berth? a) BT b) BD c) BK d) data in adequate e) none
4. Which of the following groups occupies the middle berth? a) DKT b) HKT c) DKR d) DHT
5. Which of the following combinations of person-berth-profession is correct?
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Reasoning and Quantitative Aptitude
Puzzle Test
a) K-upper-lawyer b) D-upper-doctor c) M-lower-journalist d) R-lower-architect Solution: Passenger Berth B Lower M Upper Pathologist T Middle Pharmacist R Lower Architect K Middle Journalist H Upper Lawyer D Middle Doctor
Occupation Engineer
Answers: From Table it is clear that, 1. c 2. c 3. e 4. a 5. d
2. Seating / Placing and Arrangements Type Questions:
Ex.1: Eight books are kept one over other. Counting from the top, the second, fifth and sixth books are on plays. Two books on plays are between two books on composition.one book of plays is between two books on poetry while the book at the top of the book of literature is a book of composition. Which book is fourth from the top. a) Plays b) Poetry c) Composition d) literature
Solution: We analyse the given information as follows: Let C denotes ‘Composition’, P donate ‘plays’, Po donate ‘poetry’, and L denote “Literature”. 1 Po 2 P P 3 Po 4 C 5 P P 6 P P 7 C C 8 L
So the arrangement from top to bottom becomes: 1 2 3 4 5 6 7 8
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Reasoning and Quantitative Aptitude
Po Answer: P Po C P P C L
Puzzle Test
c (Composition)
Ex.2: Nine cricket fans are watching a match in a stadium. Seated in one row they are J, K, L, M, N, O, P, Q and R. L is at right of M and at third place at the right of N. K is at one end of the row. Q is seated adjacent to both O and P. O is at the third place at the left of K. J is the right next to left of O. Question: 1. Who is the siting at the center of the row? a) I b) J c) O d) Q
The Review on The Help Book Report
The Help is not just a book about a white women in the 1960s trying to make a difference it is about so much more. The story begins August 1960 with the colored maid, Aibileen, raising her seventeenth white child – Mae Mobley. Aibileen lost her own boy Treelore months before she started working for the Leefolt residence. One day when Ailbileen is serving lunch at the Leefolt’s residence she ...
2. Who is at the other end of the row? a) J Solution: L is the at the right of M and at third place at the right of N. So this sequence becomes N_ML. O is at the third place at the left of K and J is right next to left of O, that is JO_ _K. Q is adjacent to both O and P, that is JOQPK. Thus the only blank space left must be occupied by R, that is NRML. Since the K is at one end of the row, the entire seating sequence is NRMLJOQPK. Answers: 1. J is sitting at center of row, so answer is (b) 2. N is at the other end of the row, so answer is (b) b) N c) P d) R
3. Comparison Type Questions:
Alka is older than Mala. Gopal is older than Mala but younger than Alka. Kapil is younger than Ram and mala. Mala is older than Ram. Questions: 1. Whose age is between Gopal and Ram? a) Mala b) Kapil c) Alka d) None
2. Whose age is between mal and Kapil? a) Gopal b) Ram c) Alka d) None
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Reasoning and Quantitative Aptitude
3. Whose age is exactly in the middle of all the five? a) Mala 4. Who is the eldest? a) Alka 5. Who is the youngest? a) Mala Solution: b) Ram c) Alka d) Kapil b) Mala c) Kapil b) Gopal c) Ram d) Alka
Puzzle Test
d) Gopal
Let us denote five persons namely A, M, G, K and R then A>M, A>G>M, R>K, M>K and M>R. Combining all the above we get A>G>M>R>K Answers: 1. a Ex:2 The combined ages of Reena and Seena are 44 years and Reena is twice as old as Seena was when Reena was half as old as Seena will be when Seena is three times as old as Reena was when Reena was three times as old as Seena. How old is Reena? Solution: The ratio of Reena’s age to Seena’s must be as 5 to 3. Since the sum of the age is 44. Reena must be 27 ½ and Seena 16 ½ . 2. b 3. a 4. a 5. d
4. LOGICAL PUZZLES:
Ex 1: Which letter replaces the question mark ?
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Reasoning and Quantitative Aptitude
Puzzle Test
Answer
: U
Explanation : Multiply the numerical values of the letters in each pair to give the 3 digit result in the spaces above.
The Term Paper on Answer Question Arc Enemies Battle
Arc The Lad Strategy Guide Characters and Spells: Arc Burn Ground (volcanic eruption on enemies) Total Healing (replenishes HPs) Gail Flash (mystic forces flashes on enemies) Slow Enemy (decreases dexterity of enemies) Meteor Fall (huge meteor clashes on enemies) KukuruCure (replenishes HPs) De poison (cures poison status) Silent (disables enemy's magic use) Refresh (cures status) Ten No Sa baki ( ...
5.CLOCK PUZZLES:
Ex 1: What time should the last watch show ?
Answer
: 5:19
Explanation : Starting with the watch on the left, add 42 minutes to the time shown to give the time on the next watch to the right. Ex 2 : Where should the minute hand be put on the bottom clock ?
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Reasoning and Quantitative Aptitude
Puzzle Test
Answer
: Hand pointing to 5
Explanation : Starting with the top clock and moving anti-clockwise around the others, the hour hand moves back 1 hour, then 2, then 3 etc, while the minute hand moves forward 10 minutes each time.
6.MISSING LETTER PUZZLES:
Ex 1: Which letter replaces the question mark ?
Answer
: M
Explanation : Working in rows, add together the numerical values of the left and right hand letters to give the numerical value of the central letter.
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Reasoning and Quantitative Aptitude
Puzzle Test
Ex 2: Which letter replaces the question mark ?
Answer
: O
Explanation : In each segment of the diagram are a pair of letters, one of which is the same distance from the start of the alphabet as the other is from the end.
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Reasoning and Quantitative Aptitude
Puzzle Test
EXERCISE PROBLEMS:
1. Compare the knowledge of persons X, Y, Z, A, B and C in relation to each other. 1. X knows more than A. 2. Y knows as much as B. 3. Z knows less than C. 4. A nows more than Y. The best knowledge person amongst all is: (a) X Answer is (a).
Clearly, we have: A A >Y = B > C > Z. So, X is the best knowledgeable person. 2. Five children were administrated psychological tests to know their intellectual levels. In the report, psychologists pointed out that the child A is less intelligent than the child B. The child C is less intelligent than the child D. The child B is less intelligent than the child C and child A is more intelligent than child E. Which child is most intelligent? (a) A (b) B (c) D (d) E (e) None of these (b) Y (c) A (d) C
Answer is (c), we have A
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Reasoning and Quantitative Aptitude
Puzzle Test
Read the following information carefully and answer the questions given below it: (A)Gopal is shorter than Ashok but taller than Kunal. (B)Navin is shorter than Kunal. (C)Jayesh is taller than Navin. (D)Ashok is taller than Jayesh. 4. Who among them is the tallest? (a) Gopal (b) Ashok (c) Kunal (d) Navin (e) Jayesh 5. Which of the given information is not necessary to answer the above question? (a) A (b) B (c) C (d) D(e) None of these Solution for 4th and 5th questions. In terms of height we have : Gopal
The Term Paper on Germany: The answer to an old Question
Germany: The answer to an old Question Essay submitted by Unknown Thesis: This paper will argue that Germany needs to secure itself as both the economic and political hegemon of Europe inside of the European Union; until its present condition and effectiveness in the global politics changes, instability in the European Union, as well as, basic fear of will always be present. I. Introduction II. ...
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Reasoning and Quantitative Aptitude
Puzzle Test
(5)Each time either R scores the highest and t gets the least or Alternatively S scores the highest and U or Q scores the least. 7. If S is ranked sixth and Q is ranked fifth, which of the following can be true? (a) V is ranked first or fourth (b) R is ranked second or third (c)Pis ranked second or fifth (d) U is ranked third or fourth (e) T is ranked fourth or fifth. 8. If R gets more, V should be ranked not lower than: (a) second (b) third (c) fourth (d) fifth (e) sixth 9. If R is ranked second and Q is ranked fifth, which of the following must be true? (a) S is ranked third (b) T is ranked sixth (c) P is ranked sixth (d)V is ranked fourth (e) U is ranked sixth 10. If S is ranked second, which of the following can be true? (a) U gets more than V (b) V gets more than S (c) P gets more than R (d)P gets more than V (e) T gets more than Q 11. If V is ranked fifth, which of the following must be true? (a) S scores the highest (b)R is ranked second (c) T is ranked third (d)Q is ranked fourth (e) U scores the least Solution for 7th to 11th: In terms of scores we have : V > P, P > Q i.e. V > P > Q. If R scores the highest, we have R > ———- > T. If S scores the highest, we have S > ———– > Q or S > ———- > U. Answer for 7th question is (d) If S is ranked sixth and Q is ranked fifth, we have _ > _ > _ > _ > Q > S > _ In this case, R will ran the highest and thus T will rank the least. we have R > _ > _ > _ > Q > S > T Also, the order V > P > Q will be maintained i,e V and P will have second,third or fourth places. So, statements (a), (b), (c), (e) cannot follow. Thus (d) is the answer.
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Reasoning and Quantitative Aptitude
Answer for 8th question is (c),
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Answering the freedom question The notion of freedom has always played a central role in many human interactions. Throughout history, we know people have fought many wars to gain freedom. It also plays a crucial part in our government today. We are free to vote for our next leader. We are held responsible when we commit a crime because of the presupposition that we were free to choose what we did, ...
Puzzle Test
Again, if R ranks most, T ranks lowest and occupies seventh place. Since V always ranks above P and Q so in the maximum, P and Q will occupy fifth and sixth places. Thus, V will not rank lower than fourth. Answer for 9th question is (b) If R is ranked second, S will rank first and Q and U lowest. But Q ranks fifth. So, U ranks lowest. Also, the Order V > P > Q will be followed. So, the arrangement will be S > R > V > P > Q > _ Thus , the sixth Place will be occupied by T. Answer for 10th question is (a).
If S ranks second, R ranks first and T ranks lowest.The order V > P > Q will be followed. So, the arrangement will be R > S > _ > _ > _ > _ > T.Clearly, statements (b), (c), (d) and (e) cannot follow. so the answer is (a).
Answer for 11th question is (a), If V ranks fifth, P and Q coming before it will occupy sixth and seventh places respectively i,e Q ranks least. So, S will score the highest. Directions (questions 12 to 16): Read the following information Carefully and answer the questions given below: (1)A, B, C, D and E are five friends. (2)B is elder to E, but not as tall as C. (3)C is younger to A, and is taller to D and E. (4)A is taller to D, But younger to E. (5)D is elder to A but is shorter in the group. 12. Who among the following is the eldest? (a) A (b) B (c) C (d) D (e) None of these 13. Which of the following pairs of students is elder to D? (a) BA (b) BC (c) BE (d) EA (e) None of these 14. Which of the following statements is correct about B? (1)B is not the tallest (2) B is shorter to E (3) When they are asked to stand in ascending order with respect to their heights, B is in the middle. (a) Only (1) is correct (b) Only (1) and (3) are correct (c)All are correct (d) All are incorrect (e) None of these
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Reasoning and Quantitative Aptitude
Puzzle Test
15. If F, another friend is taller than C, how many of them will be between F and E according to their height? (a) One (b) Two (c) Three (d) Four (e) None of these 16. If a selection is to be made among them who would be relatively older and also taller, who among them should be chosen? (a) A (b) B (c) C (d) D e) E Solutions for 12th to 16th : In terms of age we have: E
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Reasoning and Quantitative Aptitude
The Essay on Sitting Room Left House Wright
Frank Lloyd Wright: A Comparison of his Early Work with His Projects in Alabama Time has ravaged many of the greatest works of art that mankind has created but one form of art has far outlasted all of the rest. Architecture is the art of buildings but it spills over into designing furniture, bridges, and even cities. There have been many great architects, from the classical builders of ancient ...
18.X+Y+Z is same as (a) Y-X-Z (b) Z-Y-X (c) Z-X-Y (d) None of these
Puzzle Test
19.For an expression Farha-Fardina-Arif which of the following cannot be correct under any circumstances? (a)Arif is father of Farha. (b)Arif is the younger brother of Farha. (c)Farha is the mother of both Arif and Fardina. (d)None of these 20.Deven-Shashi*Hemant is opposite to (1)Hemant+Shashi+Deven (2)Hemant-Shashi+Deven (3)Shashi*Hemant+Deven (a) (1) only (b) (1) an (2) only (c) (2) and (3) only (d) None of these Solution for 17th to 20th : Answer for 17th question is (a) : Sachin*Madan-Reena means Sachin and Madan are of the same age and Reena is younger than Madan. This means that Reena is the youngest. Answer for 18th question is (b) : X+Y+Z means X is younger than Y and Y is younger than Z. This can also be written as Z-Y-X. Answer for 19th question is (a) : Farha-Fardina-Arif means Fardina is younger than Farha and Arif is younger than Fardina. This means that Arif is younger than Farha. So, Arif cannot be the fatherof Farha. Answer for 20th question is (d) : Deven-Shashi*Hemant means Shashi is younger than Deven ans Shashi and Hemant are of the same age. Thus Deven is the oldest. Now, the opposite statements would mean : Deven is the youngest. (1)Hemant+Shashi+Deven means Hemant is younger than Shashi, who is younger than Deven.So, Deven is the oldest. (2)Hemant-Shashi+Deven means Shashi is younger than both Hemant and Deven.Thus eother Hemant or Deven is the oldest, but Deven is not the youngest. (3)Shashi*Hemant+Deven means Shashi and Hemant are of the same age and Hemant is younger than Deven. So, Deven is the oldest
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Reasoning and Quantitative Aptitude
Puzzle Test
21.Four girls are sitting on a bench to be photographed. Shikha is to the left of Reena.Manju is to the right of Reena. Rita is between Reena and Manju. Who would be second from the left in the photograph? (a) Reena (b) Shikha (c) Manju (d) Rita Answer is (d) Shikha is to the left of Reena and Manju is to her right. Rita is between Reena and Manju. So the order is Shikha ,Reena , Rita and Manju. In the photograph Rita will be second from left. 22.There are five different houses, A to E in a row. A is to the right of B and E is to the left of C and right of A. B is to the right of D. Which of the houses is in the middle? (a) A (b) B (c) D (d) E Answer is (a) B is to the right of D. A is to the right of B. E is to the right of A and left of C.So the order is D, B, A, E, C . Clearly A is in the middle. 23.In a march past , seven persons are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly , S is standing right to R and left to T. Find out who is standing in middle? (a) P (b) Q (c) R (d) O Answer is (b) Q is left to R and to the right of P i,e P, Q, R. O is to the right of N and left of P i,e N, O, P. S is to the right of R and left of T i,e R, S, T. Clearly , Q is in the middle. 24.Five children are sitting in a row. S is sitting next to P but not T. is sitting next to R who is sitting on extreme left and T is not sitting next to K. Who are sitting adjacent to S? (a) K and P (b) R and P (c) only C (d) P and T (e)Insufficient Information Answer is (d)
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Reasoning and Quantitative Aptitude
Puzzle Test
S is sitting next to P. So, the order S, P or P, S is followed. Is sitting next to R.So, the order R, K is followed because R is on the extreme left. T is not next to P or K. So, the arrangement will be R, K, P, S, T. Clearly, P and T are sitting adjacent to S. 25.Five girls are sitting in a row , Rashi is not adjacent to Sulekha or Abha.Anuradha is not adjacent to Sulekha. Rashi is adjacent to Monika. Monika is at the middle in the row. Then, Anuradha is adjacent to whom out of the following ? (a) Rashi (b) Sulekha (c) Abha (d) Monika (e) Cannot be determined Answer is (a) Clearly, the order is Anuradha, Rashi, Monika, Abha. Anuradha is adjacent to Rashi Read the following information carefully and answer the questions given below it: (A)There are five friends (B)They are standing in a row facing south. (C)Jayesh is to the immediate right to Alok. (D)Pramod is between Bhagat and Subodh. (E)Subodh is between Jayesh and Pramod. 26.Who is at the extreme left end? (a) Alok (b) Bhagat (c) Subodh (d) Data Inadequate (e) None of these 27.Who is in the middle? (a) Bhagat (b) Jayesh (c) Pramod (d) Subodh (e)Alok Solution: The boys are standing facing south. So, consider left and right accordingly. Jayesh is to the right of Alok i,e Jayesh, Alok. Pramod is between Bhagat and Subodh i,e Bhagat, Pramod, Subodh.Subodh is between Jayesh and Pramod. So, the sequence is Bhagat Pramod Subodh Jayesh Alok Answer for 6th question is (a), Alok is at extreme left end. Answer for 7th question is (d), Subodh is in the middle. Study the given information carefully and answer the questions that follow. (1)A, B, C, D, E, F and G are sitting on a wall and all of them are facing east. (2)C is on the immediate right to D. (3)B is at an extreme end and has E as his neighbour. (4)G is between E and F. (5)Dis sitting third from the south end.
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Reasoning and Quantitative Aptitude
Puzzle Test
28. Who is sitting to the right of E? (a) A (b) C (c) D (d) F (e) None of these 29. Which of the following pairs of people are sitting at the extreme ends? (a) AB (b) AE (c) CB (d) FB (e) Cannot be determined 30.Name the person who should change places with C such that he gets the third place from the north end? (a) E (b) F (c) C (d) D 31. Immediately between which of the following pairs of people is sitting? (a) AC (b) AF (c) CE (d) CF (E) None of these Solution: C is to the right of D. D is third from south. So, B will be at the extreme end from north because it should have E as its neighbour. G is between E and F. SO, the sequence is B-> E-> G-> F-> East D-> C-> A-> Answer for 8th question is (e), G is sitting to the right of E. Answer for 9th question is (a), A and B are sitting at the extreme ends. Answer for 10th question is (c), G should change place with C to make it third from north. Answer for 11th question is (d), D is sitting between C and F. 32.In the Olympic games, the flags of six nations were flown on the masts in the following way:
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Reasoning and Quantitative Aptitude
Puzzle Test
The flag of America was to the left of Indian tricolor and to the right of the flag of France. The flag of Australia was on the right of the Indian flag but was to the left of the flag of Japan, which was to the left of the flag of China Find the two flags which ate in the center. (a) India and Australia (b) America and India (c)Japan and Australia (d) America and Australia Solution: The correct sequence is France, America, India, Australia, Japan, China. The two flags in the center are India and Australia. 33. Mr. A , Miss B, Mr. C and Miss D are sitting around a table and discussing their trades. (1)Mr A sits opposite to cook. (2)Miss B sits right to the barber. (3)The washer man is on the left of the tailor. (4)Miss D sits opposite to Mr. C. What are the trades of A and B? (a) Tailor and Barber (b) Tailor and Cook (c) Barber and Cook (d) Washer man and Cook. Solution : (b) C and D sit opposite to each other .So if A sits opposite to cook, B shall be cook. Now B is to the right of barber. So, one of the rest say C will be barber, then D on the opposite side shall be washer man or tailor. But washer man is left of tailor and D is to the left of A. So, D is washer man and A is tailor. Thus , A and B are Tailor and Cook. 34.There is a escalator and 2 persons move down it.A takes 50 steps and B takes 75 steps while the escalator is moving down. Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps. Find the no. of steps in the escalator while it is staionary. Solution (not sure): If A takes 1 step in one second, then B takes 3 steps in one second. If A takes t1 seconds to take 50 steps, then B takes 150 steps in t1 seconds. For B, to take 150 steps he requires t1 seconds, then to take 75 steps he requires t1/2 seconds. So now, s1=50, t1 = t1 & s2=75, t2=t1/2 ans= (s1*t2 ~ s2*t1) / (t1 ~ t2) which gives 100. so 100 steps is the answer 35. There are containing 5 , 7 , 14 , 16 , 18 , 29 balls of either red or blue in colour. Some boxes contain only red balls and others contain only blue . One sales man sold one box out of them and then he says ” I have the same number of red balls left out as that of blue “.
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Reasoning and Quantitative Aptitude
Which box is the one he solds out ?
Puzzle Test
Ans : total no of balls = 89 and (89-29 /2 = 60/2 = 30 and also 14 + 16 = 5 + 7 + 18 = 30 36. If the digits of my present age are reversed then i get the age of my son.If 1 year ago my age was twice as that of my son.Find my present age. Ans. father-73, son-37 37. There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball. Ans. 8 38. If i walk with 30 miles/hr i reach 1 hour before and if i walk with 20 miles/hr i reach 1 hour late.Find the distance between 2 points and the exact time of reaching destination is 11 am then find the speed with which it walks. Ans. 120miles and 24 miles/hr 39. There r four face cards (J,Q,K,A) all of different types(diamond,club,spade,heart) and some conditions r given.find the order of cards Ans. king -> jack -> queen -> ace heart diamond spade club 40. If A,B,C,D,E r 5 members of a family.4 of them give true statements : 1. E is my mother in law 2. C is my son in law’s brother 3. B is my father’s brother 4. A is my brother’s wife Who made the stmt. and what r the realtions among them Ans. E | AB–C | D denotes husband-wife — denotes brothers 41. The product of 5 different temperatures is 12.If all of then r integers then find all the temperatures Ans. -2,-1,1,2,3
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Reasoning and Quantitative Aptitude
Puzzle Test
42. Ann, Boobie, Cathy and Dave are at their monthly business meeting. Their occupations are author, biologist, chemist and doctor, but not necessarily in that order. Dave just told the biologist that Cathy was on her way with doughnuts. Ann is sitting across from the doctor and next to the chemist. The doctor was thinking that Boobie was a goofy name for parents to choose,but didn’t say anything. What is each person’s occupation? Ans: Since Dave spoke to the biologist and Ann sat next to the chemist and across the doctor, Cathy must be the author and Ann the biologist. The doctor didn’t speak, but David did, so Bobbie is the doctor and Dave the chemist. 43. Sometime after 10:00 PM a murder took place. A witness claimed that the clock must have stopped at the time of the shooting. It was later found that the postion of both the hands were the same but their positions had interchanged. Tell the time of the shooting (both actual and claimed).
Ans: Time of shooting = 11:54 PM Claimed Time = 10:59 PM. 44. Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ? Ans: 224. No number has digits more than 4. All of them are 1 , 2, 4, 8 , 16 , 32 , 64 converted to numbers in base 5. 45. Shahrukh speaks truth only in the morning and lies in the afternoon, whereas Salman speaks truth only in the afternoon. A says that B is Shahrukh. Is it morning or afternoon and who is A – Shahrukh or Salman? Ans: Afternoon.A is Salman. 46. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How nuch faster is one train from other? Ans: Twice. 47. There are 6 volumes of books on a rack kept in order ( ie vol.1, vol. 2 and so on ).
Give the position after the following changes were noticed. All books have been changed Vol.5 was directly to the right of Vol.2 Vol.4 has Vol.6 to its left and both weren’t at Vol.3’s place.Vol.1 has Vol.3 on right and Vol.5 on left. An even numbered volume is at Vol.5’s place Find the order in which the books are kept now. Ans: 2, 5,1,3,6,4. 48. I bought a car with a peculiar 5 digit numbered licence plate which on reversing could still be read. On reversing value is increased by 78633.Whats the original number if all digits were different? Ans: Only 0 1 6 8 and 9 can be read upside down. So on rearranging these digits, we get the answer as 10968.
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Reasoning and Quantitative Aptitude
Puzzle Test
49. The shape in the sketch below is that of a square attached to half of a similar square. Divide it into four equal pieces. Ans: Hint : The figure can be divided into 12 equal triangles.
50.There are two balls touching each other circumferencically. The radius of the big ball is 4 times the diameter of the small all. The outer small ball rotates in anticlockwise direction circumferencically over the bigger one at the rate of 16 rev/sec. The bigger wheel also rotates anticlockwise at N rev/sec. What is ‘N’ for the horizontal line from the centre of small wheel always is horizontal. 50) 1234 +3455 ———4689 -2345 ———2344 +1254 ———–3698 ———–Q) Strike off any digit from each number in seven rows (need not be at same place) and combine the same operations with 3 digit numbers to get the same addition. After this strike off another digit from all and add all the No.s to get the same 2 digit No. perform the same process again with 1 digit No.s. Give the ‘ no.s in 7 rows at each stage. 51. There is a safe with a 5 digit No. The 4th digit is 4 greater thansecond digit, while 3rd digit is 3 less than 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number. Ans: 65292.
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Reasoning and Quantitative Aptitude
Puzzle Test
QUESTION BANK
1. Mr. ANYMAN left any city by car to attend a wedding at any city . He had been driving for exactly two hours when the car got punctured. It took his driver exactly ten minutes to change the wheel. In order to play safe they covered the remaining distance at a speed of 30 mph. consequently, Mr. ANYMAN was at wedding half an- hour behind schedule. Had the car got the puncture only 30 miles later , I would have been only FIFTEEN minutes late he told the driver . How Far is any city from any town. Ans: 120 miles 2. Alpha, Beta , gamma, delta and epsilon are friends and have birthdays on consecutive days though may not be in order. Gamma is as many days old to Alpha as Beta is younger to Epsilon. Delta is two days older then Epsilon. Gamma’s Birthday is on Wednesday. Tell whose birthday is when. Ans: Alpha: Friday Beta : Saturday Gamma: Wednesday Delta: Tuesday Epsilon: Thursday 3.The quarter of the time from midnight to present time added to the half of the time from the present to midnight gives the present time. What is the present time? Ans: 9hrs past 36 minutes AM 4. After world war II three departments did as follows First department gave some tanks to 2nd &3rd departments equal to the number they are having. Then 2nd department gave some tanks to 1st & 3rd departments equal to the number they are having. Then 3rd department gave some tanks to 2nd &1st departments equal to the number they are having. Then each department has 24 tanks. Find the initial number of tanks of each department? Ans ; A-39 B-21 C-12
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Reasoning and Quantitative Aptitude
Puzzle Test
5. A girl ‘A’ told to her friend about the size and color of a snake she has seen in the beach. It is one of the colors brown/black/green and one of the sizes 35/45/55. If it were not green or if it were not of length 35 it is 55. If it were not black or if it were not of length 45 it is 55. If it were not black or if it were not of length 35 it is 55. a) What is the color of the snake? b) What is the length of the snake? Ans: a) brown b) 55
6. Two travelers, one with 64 barrels of wine, other with 20 barrels of wine. They don’t have enough money to pay duty for the same. First traveler pays 40 francs and gives his 5 barrels, Second traveler gives his 2 barrels but gets 40 francs in exchange. What’s value of each barrel, and duty for each barrel? Ans: Value of each barrel-120 francs, Duty on each-10 francs 7. What is Ann’s relation with her husband’s mother’s only daughter-in-law’s sister’s husband? Ans: Brother-in-law 8. Some guy holding a glass of wine in his hand looking around in the room says, “This is same as it was four years ago, how old are your two kids now?” Other guy says “Three now, Pam had one more in the meanwhile.” Pam says, “If you multiply their ages, answer is 96 and if you add the ages of first two kids, addition is same as our house number.” The first guy says, “You are very smart but that doesn’t tell me their ages.” Pam says, “It’s very simple, just think.” What are the ages of three kids? Ans: 8, 6, 2
9. A motor cyclist participant of a race says “We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 15 miles per hour.” What was their average speed in the whole journey? Ans: 12 miles per hour
10. Given following sequence, find the next term in the series: (i) 0, 2, 4, 6, 8, 12, 12, 20, 16, ____ Ans: 12 (ii) 3, 6, 13, 26, 33, 66, ___ Ans: 53
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Reasoning and Quantitative Aptitude
Puzzle Test
11. Three customers want haircut and a shave. In a saloon, two barbers operate at same speed. They take quarter of an hour for the haircut and 5 mins for the shave. How quickly can they finish the haircut and shave of these three customers? Ans: 30 minutes 12. A shopkeeper likes to arrange and rearrange his collection of stamps. He arranges them sometimes in pair, sometimes in bundle of three, sometimes in bundle of fours, occasionally in bundle of fives and sixes. Every time he’s left with one stamp in hand after arrangement in bundles. But if he arranges in the bundle of seven, he’s not left with any stamp. How many stamps does a shopkeeper have? Ans: 301 13. Three different types of objects in a bucket. How many times does one need to select object from the bucket to get atleast 3 objects of the same type? Ans: 7 14. A boss tells 1/6 th of his life in child hood,1/12 of his in youth and 1/7 of his in bachelor,five years after his election a son was born whom was died four years ago at half his final age. find the boss age. ANS.:74 ths solution a/6+a/12+a/7 +5…… 15. Two thieves went to the museum to stole the diamonds first thief stole half of them and while going he took another two and left. Second, third and fourth did the same and there was zero diamonds at the end. How many diamonds initially at the beginning? Similar to Q. No. 193 Stolen Mangoes from Shakuntala Devi – More Puzzles Ans: 79 16. A, B, C are the husbands and D, E, F are their wives not in that order. They are playing the Golf following these conditions. D, E, F and B scores are as follows 106,102,100 and 94.A and C scores are 98 and 96 not in that order as their names are not displayed. Two couples get the same score. B wife beat the A wife list out the wives names and the scores they got. Ans: Hus Wife Score Total A F 98 102 200 100 198 B D 94 106 200 106 200 C E 96 100 96 102 198 17.A women with dollar bills goto the shopping he spent half of the money she had for shopping as she was so kind she gave one dollar to the beggar.she went to the hotel and spent half of the remaning and she gave 2 dollars to the waiter,the she buy some goods with half of the remaining and she gave 3 dollars to the receptionist. how much money she had in the begining? Ans:42
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Reasoning and Quantitative Aptitude
Puzzle Test
come in the reverse order 1+3=4and twice of it 8+2=10 and twice of it 20+1=21 and twice of it 42. 18.A conducter in the bus ask the man how old the boy is.the man replied that my son is five times older than my daughter and my wife is five times older than my son and i am twice older to my wife and our ages summed upto my granmother whose age is 81 years.can u tell me the son age? Ans: 5 years x+5x+25X+50X=81 81X=81 x=1 therefore son age is 5 years old 19.find out who is oldest and who is youngest from the following statements… a)either A or B r the oldest b)either C is the oldest or B is the youngest. Ans: A is the oldest and B is the Youngest
20.one boy tells three ppl to guess mule color.. number one says its not blk number two says its eiterh brown or grey number 3 says its brown. ..the boy then says one is atleast lying ans atleast telling truth…finf mule color Ans: grey? 21. A Lady (say L) is a philanthropist. she goes to a restaurent, orders food and pays half the amount she has and another doller to a waiter as tip. she then goes to a mall, does some purchases and pays half the amount left and another 2 dollers to a begger outside. At last she goes to a book store, takes some books and pays half theamount left and another 3 dollers to a begger outside. she thenNchecks that she only had a doller left to her. How much money she had initially? Ans. 42 $ 22. Impressed by admiration of the boy by stranger, the father said “My son is five times as old as my daughter and my wife is five times as old as my son. I’m double the age of my wife and my grandmother is as old as the sum of ages of all of us and she is celebrating her 81st birthday.” what is the age of the boy? ANS. 5 yrs 23. Harry is a friend of Axy and Amy. Two statements are given about them. 1. if one of Axy and Amy is oldest then another is youngest. 2. Either Harry is the oldest or Amy is the youngest. Who is the oldest?
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Reasoning and Quantitative Aptitude
ANS. Axy
Puzzle Test
24. Sons age is 5 times daughters.mother is five times son.father is 5 times wife. Total of all age is Grandpas who is celebrating 81st B`day. Ans:-5 yrs 25. One woman buys plates worth 1.30$ at 2cent discount each plate.Then she exchanged the plates for sausers & bowl where one bowl & one sausers costs equal to one plate.no of sausers which costs 3 cent is10 more than bowl. no of saucers & bowl is 16 more than no of plates. Ans:-10Plates 26. “One-sixth of my life”, said my boss, “I spent as a child, next one-twelfth as an old boy, one-seventh & 5 more years in politics & socialization. This brought me upto when Jimmy born. Jimmy was elected for the governer four years ago, when he was half my present age.” How old is my boss? ANS.: 84 yrs. (However, I overlooked that ‘one-seventh’ part, & got the answer 36 – a wrong answer.) *******************************************************J = (B/2) + 4 (B/6) + (B/12) + (B/7) + 5 + J = B => B = 84 *******************************************************
27. Mrs. Barbinger bought some plates on Saturday for $1.30, when everything was being sold two cents below the regular price. She exchanged those plates on Monday, at their regular price, for cups & saucers. Cost of one plate equals cost of one plate & one saucer. She returned home with 16 more articles than before. Since, saucers cost only 3 cents each, she bought 10 more saucers than cups. The puzzle is, how many cups could she have bought on Saturday, for $1.30? ANS.: 13 cups ******************************************************* On Monday: cup = 12 cents, saucer = 3 cents, plate = 15 cents On Saturday: cup = 10 cents, saucer = 1 cent, plate = 13 cents ******************************************************* 28. Mr and Mrs ABC purchase suit and hats for 15 Rs. then from remaining money Mrs. ABC purchase A dress. She shaid ” My dress cost is more than 1 Rs from your hat’s cost.she also added “if we divide our money and then purchase and cost of my hat is 3 and 1/2 times yours hat then we had spend equal money” a. ” if that ” condition fallows what is price of his hat? b. Total amount spend ? Ans. hat= 6 Rs , Total = 22 Rs. ( not sure)
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Reasoning and Quantitative Aptitude
Puzzle Test
29. My rack contains 8 Red colour ties, 13 violate colour ties,10 Blue colour ties, 5 Pink colour ties, 4 green colour ties. If electricity gone and i want at least two ties of same colour then how many ties i should take out from my rack? Ans : 6 ties. 30. Two trains leaving from two station 50 miles away from each other with costant speed of 60 miles per hour, approaches towards each other on diffrent tracks. if lenght of each train is 1/6 mile. when they meet How much time they need to pass each other totally? Ans : 10 sec. ( not sure)
31. We are given 100 pieces of a puzzle. If fixing two components together is counted as 1 move ( a component can be one piece or an already fixed set of pieces), how many moves do we need to fix the entire puzzle. Ans: 18 32. This problem has appeared b4. 4 kids from 2 families Gupta and sharma… their names are Praveen, Pra… blah blah…and some relation… which family and what are their ages.. Ans: Sinhas – 11(praveen) Sinhas – 5(lalit) Gupta – 10(pratap) Gupta – 7 (rajesh) 33. This was one hell of a long problem – But it has appeared before.. Two girlz after one guy ( sue, swe and sam i think)..Sue first asks his house no… he replies with two statements (second is false) so she goes to the wrong house… blah blah.. same thing happens with the other gal What was the house number of sue and sam Ans: 20 and 24
34. A complex statement – about an aeroplane comming late. “The boy says if it was 6 hours later, the waiting time would be 1/5th of the time if the plane had come 2 hours earlier instead. the plane is supposed to come at midnight Ans 11.00 a.m
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Reasoning and Quantitative Aptitude
Puzzle Test
35. There are 4 statements and 4 guys ( Dave, Gus, someone else and one more someone else) – sorry my memory is rotten! Anyway now these guys make 4 statements abt. who commited the crime. We need to find out who did it if (i) all but one are saying false and (ii) all but one are saying true Ans: (i)archie( ii) tony
36. There is truck which should reach some place at 11`o clock , if it travels with 30 mph it reaches 1 hour before , if it travles with 20 mph it reaches 1 hour late. what is the distance it must be travlled and what is the speed it must maintain to reach at exact time? Ans: 120 miles and 24 mph 37.There is a square cabbage patch.He told his sister that i have a larger patch than last year and hence 211 more cabbages this year. Then how many cabbages I have this year.? Ans:106*106=11236 38. There are two colcks one runs 1min/hrs faster and other 1min/hr slower when will the two clocks have time time difference of 1 hr : Ans : 30hrs 39. I take a taxi whose no is 3 digit no. it is not divisible by 2,3,5,7 but divisible by 11 it is the smallest no possible: Ans : 121 40. A man brought some watermelons to town and sold them. he sold 1/2 more than 1/2 of what he brought and e was left with one melon. how many melons did he bring to Town? Ans: 3 41. When u reverse the digits of age of father u will get the age of son. one year ago the age of father was twice that of son’s age. what are the current ages of father and son? Ans: 73 & 37 42. There is a circular ring in which there are 12 black mice and one white mice . a cat walks circularly in the ring and eats every 12th mice. where should the cat start so that the white mice is the last one to be eaten by cat? Ans: if the cat moves circularly it has to start from the 11th mice (clockwise) w.r.t. to white one. 43. In a class there are less than 500 students . when it is divided by 3 it gives a whole number. Similarly when it is divided by 4,5 or 7 gives a whole number. find the no. of students in the class
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Reasoning and Quantitative Aptitude
Ans: 420
Puzzle Test
44. There are three types of birds A,B & C . A costs 5pounds, B costs 3 Pounds and C costs 1/3 of a pound. find the no. of A,B &C such that u will get 100 birds for 100 pounds. (I think we were supposed to find 3 answers since there were 3 rows in the answer) Ans: A : 4 B : 18 C: 78 45. There are 5 persons who have won top five places in an event in Olympics . one of them asks all the five regarding thier 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 first place” e: “D is not the first” The persons who have won gold and silver have lied find the positions in order(format: name of first, name of second,..) Ans: B,D,E,A,C
46. A coffee seller has two types of coffee Brand A costing 5 bits per pound and Brand B costing 3 bits per pound. he mixes two brands to get a 40 pound mixture. he sold this at 6 bits per pound. the seller gets a profit of 33 1/2 percent. how much he has used Brand A in the mixture? Ans: 30 pounds 47. a + b + c +d = d + e + f + g = g + h + i =17. If a = 4, what are the values of d and g. Each letter taken only one of the digit from 1 to 9. Ans: a = 4 ,b = 2, c =6, d = 5, e = 3, f = 8, g = 1, h = 7, i = 9. 48. A frog jumps 3 ft comes back 2ft in a day. In how many day it will come out of 30ft deep well? Ans: 28 day. 49. A-B=C D/E=F G+H=I C.F=I Ans: A=9, B=5, C=4, F=2.
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Reasoning and Quantitative Aptitude
Puzzle Test
50. When the actual time pass 1 hr, wall clock is 10 min behind it. When 1 hr is shown by wall clock, table clock shows 10 min ahead of 1 hr. When table clock shows 1 hr, the alarm clock goes 5 min behind it. When alarm clock goes 1 hr, wrist watch is 5 min ahead of it. Assuming that all clocks are correct with actual time at 12 noon, what will be time shown by wrist watch after 6 hr? Ans: 5:47:32.5 (n X 60 )50/60 X 70/60 X 55/60 X 65/60. 51. A software engineer just returned from US, has eaten too much fat & put a lot of weight. Every sunday he starts walking 4 km/hr on level ground, then up at 3 kmhr, then back down hill at 6kmhr, then again on level ground at 4kmhr till he reaches his destination. If he returned home at 9 p.m., what distance did he covered? Ans: 24 km.
52. There are 2 scales of temp A & B. It was given A varies from 14 to 133 and B varies from 36 to 87. Find the temperature, when temperature of A is equal to temp of B. Ans: 52.5. Let t=mx+c, c=-70 => m=51/119 a=a.51/119 -70 => a=52.5.
53. There are 4 married couples, out of which, 3 poeple in a group is needed. But there should not be his or her spouse in the group. How many groups are possible? Ans: 32. 54. In the 4 digits 1,2,3,4, how many 4 digited numbers are possible which are divisible by 4? Repeatations are allowed. Ans: 64. 55. Two men are going along a track of rail in the opposite direction. One goods train crossed the first person in 20 sec. After 10 min the train crossed the other person who is comming in opposite direction in 18 sec. After the train has passed, when the two persons will meet? Ans: Approx. 72 min, check it once. 56. The no. of children, adults. The no. of adults the no. of boys. The no. of boys no. of girls. The no. of girls no. of family. Conditions:1. No family is without a child. 2. Every girl has at least one brother and sister. Ans: c > a > b > g > f; 9 6 5 4 3.
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Reasoning and Quantitative Aptitude
Puzzle Test
57. There are 4 boys – Anand, Anandya, Madan and Murali with nic-names perich, zomie, drummy and madeena not in the same order. Some conditions. Ans: Anand : Perich Anandya : Drummy Madan : Zombie Murali : Madeena 58. There are 3 societies A, B amp; C having some tractors each. A Gives B and C as many tractors as they already have. After some days B gives A and C as many tractors as they have. After some days C gives A and B as many tractors as they have. Finally each has 24 tractors. What is the original No.of tractors each had in the beginning? Ans: A – 39. B – 21. C – 12.
59. BE * BE = ACB. A, B, C, E are non-zero numbers. Find B, E. Ans: B=1 E=9. 60. A person went to a shop and asked for change for 1.15 paise, but he said that he could not only give change for one rupee but also for 50p, 25p, 10p and 5p. What were the coins he had? Ans: 1–>50p 4—>10p 1—>25p. 61. Geoffrey, Hallmann and Molly attend and interview and give three different statements each. To make it a little complex. Out of the three statements made by each one, one is false. Geoffrey says: I am 22 – false Hallmann is elder than me by one year. Molly is 25. Hallmann says: I am not the youngest Geoffrey is 2 years younger than me Molly is younger than me by one year – false Molly says: Geoffrey is 23 I am a year younger than Geoffrey (I don’t remember this statement but it is false.) Ans: Goeffrey is 22 as Goef states, And Goef== 23 as Molly states. Both cannot be true. Either one has to be true or either one has to be false. Start deriving from this point and u get, Geoffrey Hallmann Molly Age: 23 25 22
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