Logical Reasoning

1

1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O.

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2

Answer the questions on the basis of the information given below.

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.

1. Which of the following cannot be seated at either end?

  1. F
  2. G
  3. C
  4. D

2. Which of the following pairs cannot be seated together?

  1. D & G
  2. C & F
  3. B & D
  4. E & A
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3

Answer the questions on the basis of the information given below.

Anju, Bimla, Charu and Dimple stay in the same colony and study in different schools. Their schools are in North, South, East and West direction w.r.t. the colony in no particular order. Anju’s school and Bimla’s school are located in opposite directions while Dimple’s school is located 90° clockwise w.r.t. Bimla’s school. The distance of the four schools from the colony is 100 units, 150 units, 200 units and 250 units in no particular order. Dimple’s school is located in West. Anju’s school is not the one closest to the colony while Charu’s school is closer to the colony than Dimple’s school. The school located in South is farthest from the colony.

1. If the school located in North is closer to the colony than the school located in West, then who studies in the school located at a distance of 150 units from the colony?

  1. Bimla
  2. Charu
  3. Anju
  4. Dimple

2. If Anju’s school is the one located at a distance of 200 units from the colony, then how far from the colony is the school located in West?

  1. 100 units
  2. 150 units
  3. 200 units
  4. 250 units
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4

Answer the questions on the basis of the information given below.

A jeweller has 8 beads which he wants to use in making a necklace. There are 3 different beads of Red color - Striped Red, Matt Red and Sparkling Red. Similarly, there are 3 different beads of Blue color - Striped Blue, Matt Blue and Sparkling Blue. The other two beads are Green and Yellow in color respectively.

The conditions given below must be followed while making the necklace.

  1. Striped Red and Striped Blue beads must always be put adjacent to each other.
  2. Green and Yellow beads must always be put adjacent to each other.
  3. No two beads of same color should be put adjacent to each other.

1. If none of the other two Red beads is to be put opposite the Striped Red bead then which of the following statements can be true?

  1. The Yellow bead is put opposite the Striped Blue bead.
  2. The Green bead is put opposite the Matt Red bead.
  3. The Yellow bead is put adjacent to the Striped Blue bead.
  4. The Yellow bead is put opposite the Matt Red bead.

2. If one of the other two Red beads is to be put opposite the Striped Red bead then which of the following statements can never be true?

  1. The Yellow bead is put opposite the Striped Blue bead and the Sparkling Red bead is put opposite the Sparkling Blue bead.
  2. The Yellow bead is put opposite the Matt Red bead and the Green bead is put opposite the Matt Blue bead.
  3. The Green bead is put opposite the Matt Red bead and the Yellow bead is put opposite the Matt Blue bead.
  4. The Yellow bead is put opposite the Striped Blue bead and the Green bead is put opposite the Sparkling Red bead.
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5

Answer the questions on the basis of the information given below.

Four friends - Vikrant, Vikram, Jasneet and Saurabh - were born in four different months – January, March, July and December – of the same year, not necessarily in the same order. Each friend has a distinct surname among Joshi, Singh, Gupta and Agarwal, not necessarily in the same order. It is also known that:

  1. Vikrant is younger than Gupta.
  2. Jasneet was not born in December.
  3. Saurabh, who is not the youngest, was not born in March.
  4. Joshi is not the youngest and was also not born in January.
  5. Vikram was born before Vikrant but after Agarwal.
  6. Agarwal was not born in January.

1. Who among the four friends is the youngest?

  1. Vikram Gupta
  2. Vikrant Singh
  3. Vikrant Joshi
  4. Cannot be determined

2. Who among the four friends was born in March?

  1. Jasneet Agarwal
  2. Saurabh Gupta
  3. Vikram Gupta
  4. Cannot be determined
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6

Answer the questions on the basis of the information given below.

Seven books, two each of Mathematics and Chemistry and three of Physics, are to be placed in order on a shelf. The two Mathematics books are of Algebra and Geometry, the two Chemistry books are of Organic and Inorganic and the three Physics books are of Kinetics, Thermodynamics and Electromagnetics.

The following conditions are to be kept in mind while placing the books:

  1. All the books of a subject must be placed together.
  2. The Chemistry books should be placed between Mathematics and Physics books.
  3. The Thermodynamics book must be placed before the Electromagnetics book.
  4. The Algebra book must be placed before the Geometry book.

1. If the Electromagnetics book is placed immediately before the Kinetics book, then which of the following statements may be true?

  1. The Geometry book is placed at the seventh position.
  2. The Thermodynamics book is placed at the second position.
  3. The Thermodynamics book is placed at the third position.
  4. The Geometry book is placed at the sixth position.

2. If a Chemistry book is placed adjacent to the Thermodynamics book, then which of the following statements must be false?

  1. The Electromagnetics book is placed before the Kinetics book.
  2. The Inorganic book is placed before the Thermodynamics book.
  3. The Kinetics book is placed before the Geometry book.
  4. The Kinetics book is placed before the Electromagnetics book.
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7

Answer the questions on the basis of the information given below.

Four teams - Alveston, Blackpool, Chelsea and Dunstable - reached the semifinal stage in a football tournament. Two of the four teams played against each other in the first semifinal and the rest two played against each other in the second semifinal. The winners of these two matches played the final and the winner of the final match was declared the Champion of the tournament. The following observations were made during the semifinals and the final match:

  1. Ten goals were scored in the three matches. At least one goal was scored by each of the four teams. Each team scored a distinct number of goals.
  2. The team that scored the maximum number of goals in the three matches was not the Champion of the tournament.
  3. Alveston did not play against Blackpool but Chelsea played against Dunstable.
  4. Neither Blackpool nor Dunstable was the Champion of the tournament. The absolute difference between the total goals scored by these two teams in the three matches was 2.

1. How many goals were scored in the final match of the tournament?

  1. 1
  2. 2
  3. 3
  4. 4

2. How many goals did the Champion of the tournament score in its semifinal match?

  1. 1
  2. 2
  3. 3
  4. 4
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8

Answer the questions on the basis of the information given below.

A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

1. Which of the following is one of the married couples?

  1. A & D
  2. D & E
  3. B & E
  4. A & B

2. What is E's profession?

  1. Professor
  2. Engineer
  3. Lawyer
  4. Accountant

3. How many members of the group are males?

  1. 1
  2. 2
  3. 3
  4. 4
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9

Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. Preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fries at a time, and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However fries cannot be prepared in anticipation of future orders.

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10

A study to look at the early leaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were sampled from each of the 150 villages from NE, 250 villages from W arid 200 villages from S. It was found that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% in private schools (P) white the remaining 8% did not go to school (O).

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11

Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET). The test has three sections: Physics (P), Chemistry (C), and Maths (M). Among those appearing for CET, those at or above the 80th percentile in at least two sections, and at or above the 90th percentile overall, are selected for Advanced Entrance Test (AET) conducted by AIE. AET is used by AIE for final selection.

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12

There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams - T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.

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13

In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below:

6 1 2 4 3
9 5 3 2 8
7 8 4 6 5
3 9 5 1 2
1 7 6 3 9

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14

A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.

The underlying principle that they are working on is the following:

Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

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15

Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

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16

Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.

Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below:

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17

There were seven elective courses - E1 to E7 - running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

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18

An old woman had the following assets:

  1. Rs. 70 lakh in bank deposits
  2. 1 house worth Rs. 50 lakh
  3. 3 flats, each worth Rs. 30 lakh
  4. Certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.

The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

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19

At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs.

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20

A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below:

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21

In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.

The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row.

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22

Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows, numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seats A to C are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row.

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23

A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence.

The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.

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