AILET Puzzles Practice Questions With Solutions

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AILET Logical Reasoning Puzzles Practice Questions

Question 1.

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University Academic Department is finalising class schedules for the incoming batch. The subjects are Criminal Law, Property Law, Economics, Legal Methods and English. The following considerations are kept in mind: I. All subjects must be held once II. Legal Methods and English cannot immediately precede or follow each other III. Economics must immediately precede Property Law IV. Economics must immediately follow English V. Criminal Law cannot be the second or the last subject Which of the following schedule is valid?

Question 2.

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Vinay is trying to decide the sequence in which to watch the following movies – Sholay (SH), RRR, Slumdog Millionaire (SM), PK and Dangal (DL). The sequence must adhere to the following conditions: I. SH and DL must not immediately precede or follow each other. II. RRR must go after SM. III. PK cannot be the first or the last movie. IV. DL must necessarily be one removed from SM. Which of the following is a valid sequence?

Question 3.

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Sanjana is attempting to create an exercise plan for a 5-day week. She has decided on the following exercises – A, X, B, Y, C, in accordance with the following conditions. I. A and Y cannot be on the consecutive days II. C must always be followed by B III. B and A cannot be done on alternate days IV. X cannot be done on the first day of the week V. No exercise can be repeated in the week Which of the following is a valid plan?
InstructionThese instructions are applicable only to questions 4 to 4
The Examination Department at prominent National Law School is considering setting its class schedules for the incoming batch. The subjects are Sociology, Contracts, Political Science, Constitutional Law and Administrative Law. The following considerations are kept in mind: I. All classes must be held every day II. Political Science must immediately follow Contracts on any day III. Sociology cannot be the first or the last subject on any day IV. Constitutional Law and Administrative law cannot immediately precede or follow each other

Question 4.

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If Administrative Law is the third class of the day, what does the class schedule for that day looks like
InstructionThese instructions are applicable only to questions 5 to 5
Darshan is attempting to build a 5 -day meal -plan from 6 dishes - U, V, W, X, Y, and Z - in accordance with the following conditions: I. No dish may be repeated unless two other dishes are cooked before the repetition. II. W and V must not be made on consecutive days. III. U and Z must not be made on alternate days. IV. Y must always be followed by X.

Question 5.

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Which of the following is a valid meal -plan if V must be included?
InstructionThese instructions are applicable only to questions 6 to 6
Joseph must decide which songs - A, B, C, D, and E - to sing in a 5 -day performance schedule, with each song being performed only on one day, in accordance with the following conditions: I. C and D must not be scheduled on adjacent days. II. B may immediately follow E, but not vice -versa. III. The first day must either be A or C. IV. The last day cannot be D.

Question 6.

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If B is the mid -point of the performance schedule, which of the following is a valid 5 -day schedule?
InstructionThese instructions are applicable only to questions 7 to 7
Arjun is prioritizing his set of tasks for the day - V, W, X, Y, and Z - in accordance with the following conditions: I. X must not be the last task. II. If Z is the first task, then it must be followed by either V or Y. III. X and W cannot be prioritized sequentially. IV. V must be followed by either W or Y.

Question 7.

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If Arjun assigns Y to position 3, which of these is a possible ordering for the tasks?
InstructionThese instructions are applicable only to questions 8 to 8
Before announcing its policy of Non -Performing Assets (NPA), the Finance Ministry has decided to consult heads of six of the largest banks in the country (A,B,C,D,E,F). It is a well -known fact that not all heads get along very well with each other and pref er not to sit next to each other in any meeting. During the meeting they all will sit in a line facing the finance minister. You have been tasked to devise a seating plan keeping in mind the following conditions. I. A cannot be on the immediate left or right of B II. D cannot be at either end III. E and F would ideally like to sit next to each other IV. C would prefer to sit one seat removed from E

Question 8.

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Which of the following is a possible seating arrangement?
InstructionThese instructions are applicable only to questions 9 to 9
Anisha must decide how to seat her friends - V, W, X, Y, Z - at a circular wedding table in accordance with the following conditions: I. Z and W must sit next to each other. II. Y may only sit with V if Y is also sitting with Z. III. X is happy to sit with anyone.

Question 9.

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If Y and X arrive early and take seats 1 and 3, which of the following is a valid arrangement?

Question 10.

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Geeta is buying three ice -cream bars and must distribute them amongst five of her friends - V, W, X, Y and Z - in accordance with the following conditions : (i) If V gets an ice -cream bar, W and Y must also get an ice -cream bar. (ii) If Z gets an ice -cream bar, X cannot get an ice -cream bar. (iii) At least one of W or X must get an ice-cream bar. (iv) Each ice -cream bar can only go to one person. If X gets an ice -cream bar, the other two ice -cream bars can go to :
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Question 1.

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An athlete who enjoys playing football, tennis, badminton, cricket and basketball must somehow play all five of these sports during a given 7 -day week (starting on Monday and ending on Sunday) in accordance with the following conditions: (i) Football cannot be played on Monday or Sunday. (ii) Badminton cannot be played on the day immediately before or immediately after the day on which tennis is played. (iii) Basketball cannot be played on Thursday. (iv) At least two of the five sports must be played twice during the week. (v) Only one sport can be played each day. (vi) No sport can be played for two consecutive days. If Badminton is played on Monday and Basketball is played on Saturday, which of the following is a possible order of sports for the week?

Question 2.

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A school principal must schedule classes for five subjects – English, Maths, Science, Social Studies, and Music – in accordance with the following conditions : (i) All subjects except Music must be scheduled at least once a day. (ii) Science must be scheduled immediately after Maths on any day. (iii) English cannot be the first or last subject scheduled on any day. (iv) Social Studies cannot be immediately followed by Music. Music cannot be immediately followed by Social Studies. If English is the second subject scheduled on a given day, which of these is a possible order of subjects for that day?

Question 3.

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Seven locations (Classroom, Hostel, Library, Auditorium, Dining Hall, Meeting Room, and Common Room) within an unusual college campus are to be assigned floor numbers from 1 (lowest) to 7 (highest). Each location can only have one floor number, and each fl oor number can only be assigned to one location. The numbering is to be done in accordance with the following conditions: (i) The Classroom is on a lower floor than the Auditorium. (ii) The Meeting Room is exactly one floor lower than the Hostel. (iii) The Library is either on Floor 1 or on Floor 7. (iv) The Common Room is on Floor 4. Which of the following is a possible arrangement of the seven locations, going from Floor 1 to Floor 7?

Question 4.

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X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and double the number of tractors, it takes 5 days to plough the same field. How many days will it take for X bullocks alone to plough the field ?
InstructionThese instructions are applicable only to questions 5 to 7
Read the following passage and answer A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this, 7 players are available : males A, B and C and females W, X, Y and Z. All players have equal capability and at least 2 males will have to be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.

Question 5.

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If Y is selected and B is rejected, then the team will consist of which one of the following groups?

Question 6.

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If B is selected and Y is rejected, then the team will consist of which of the following groups?

Question 7.

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If all the three males are selected, then how many combinations of four -member teams are possible?

Question 8.

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If a day before yesterday was Tuesday, then what day of the week will it be on a day after tomorrow?

Question 9.

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If 15th August, 2017 was Tuesday, then what day of the week was it on 17th September, 2017?
InstructionThese instructions are applicable only to questions 10 to 16
Read the following information carefully and answer the questions given below. Sonu has to deliver seven parcels containing different items – Medicine, Book, Stationery, Grocery, Cosmetics, Clothe and Chocolate – to houses on different floors of a building, one parcel each to a house. The seven floors of the building are numbered cons ecutively 1 through 7. Delivery of parcels to houses must meet the following conditions: i. Medicine is delivered on a lower numbered floor than Grocery. ii. Clothe is delivered at one level below the floor at which Book is delivered. iii. Stationery is delivered at first floor or else seventh floor. iv. Chocolate is delivered at fourth floor.

Question 10.

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There can be at most how many floors between the floor at which Medicine is delivered and the floor at which Grocery is delivered?

Question 11.

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If Clothe is delivered at floor 1, which of the following could be true?

Question 12.

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Which one of the following is an acceptable assignment of parcels to the floors in the building, in order from floor 1 through 7?

Question 13.

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If Cosmetics is delivered at floor 2, which one of the following must be true?

Question 14.

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If Cosmetics is delivered on floor 5, which one of the following is a pair of parcels that could be delivered, not necessarily in the order given, at floors whose numbers are consecutive to each other?

Question 15.

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If Book is delivered at one floor below the floor at which Medicine is delivered, then which one of the following must be true?

Question 16.

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It must be true that the lowest numbered floor on which

Question 17.

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The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much does a clock gain or lose in a day?

Question 18.

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A watch, which gains uniformly, is 3 minutes at 12 noon on Monday and is 5 minutes 36 seconds fast at 4 pm on the next Monday. At what time it was showing correct time?

Question 19.

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A clock is set at 10 am. The clock gains 10 minutes in 24 hours. What will be the right time when the clock indicates 3 pm on the following day ?

Question 20.

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A water tank has eight pipes fitted into it. Pipes are of two types: Green Pipe and Red Pipe. Green pipes are used to fill the tank and the Red pipes are used to empty the tank. Every Green pipe can fill the tank in 12 hours and every Red pipe can empty it in 36 hours. On opening all the pipes an empty tank is filled in 3 hours. The number of Red pipe is

Question 21.

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Neeraj is going to Agra on his bike from Delhi. He overtakes a bus travelling from Delhi to Agra at 4.30 pm. Neeraj reaches Agra at 6 pm. After stopping there for an hour, he starts back towards Delhi and meets the same bus at 7.30 pm which was moving towards Agra at that time. If both the bus and the bike were travelling with uniform speeds on the same route, at what time would the bus reach Agra ?

Question 22.

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In a family, there are seven persons, comprising two married couples. F1 is the son of F2 and the grandson of F3. F2 is a widower. F2 and F4 are brothers and F5 is the daughter-in-law of F6, who is the mother of F4 and the grandmother of F7. How is F7 related to F2 ?
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