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Logical Reasoning & Puzzles

70 questions in Science & Technology.

Asked in 1998, 1997, 1996, 1995

Seven persons P, Q, R, S, T, U and V participate in and finish all the events of a series of swimming races. There are no ties at the finish of any of the events. V always finishes somewhere ahead of P. P always finishes somewhere ahead of Q. Either R finishes first and T finishes last or S finishes first and U or Q finishes last. If in a particular race V finished fifth, then which one of the following would be true?

  1. (a)S finishes first
  2. (b)R finishes second
  3. (c)T finishes third
  4. (d)R finishes fourth
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Official answer(a) S finishes first

Consider the following: I. Saxena, David, Jain and Kumar were District Collectors at places P, Q, R and S respectively in 1970. II. In 1972 they were transferred. Saxena and Jain interchanged places. Kumar and David also interchanged places. III. One year later in 1973 they were again transferred such that David and Jain interchanged places and Saxena and Kumar were also interchanged. What should be the next round of transfers so that all the four persons could have been posted at all the four places?

  1. (a)Interchange Saxena and David as well as Jain and Kumar
  2. (b)Interchange Saxena and Kumar as well as David and Jain
  3. (c)Interchange David and Kumar as well as Saxena and Jain
  4. (d)It is not possible for all the four persons to have been posted at all the four places
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Official answer(a) Interchange Saxena and David as well as Jain and Kumar

Examine the following statements regarding a set of balls: I. All balls are black. II. All balls are white. III. Only some balls are black. IV. No balls are black. Assuming that the balls can only be black or white, which two statements given above can both be true, but cannot both be false? Choose the correct answer from the codes given below:

  1. (a)I and IV
  2. (b)I and III
  3. (c)II and III
  4. (d)III and IV
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Official answer(a) I and IV

Examine the following statements: I. George attends Music classes on Monday. II. He attends Mathematics classes on Wednesday. III. His Literature classes are not on Friday. IV. He attends History classes on the day following the day of his Mathematics classes. V. On Tuesday, he attends his Sports classes. If he attends just one subject in a day and his Sunday is free, then he is also free on

  1. (a)Monday
  2. (b)Thursday
  3. (c)Saturday
  4. (d)Friday
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Official answer(d) Friday

A man starts walking in the north-easterly direction from a particular point. After walking a distance of 500 metres, he turns southward and walks a distance of 400 metres. At the end of this walk he is situated

  1. (a)300 metres north of the starting point
  2. (b)100 metres north-east of the starting point
  3. (c)300 metres east of the starting point
  4. (d)100 metres north of the starting point
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Official answer(c) 300 metres east of the starting point

Examine the following statements: I watch TV only if I am bored. I am never bored when I have my brother’s company. Whenever I go to the theatre, I take my brother along. Which one of the following conclusions is valid in the context of the above statements?

  1. (a)If I am bored, I watch TV
  2. (b)If I am bored, I seek my brother’s company
  3. (c)If I am not with my brother, then I watch TV
  4. (d)If I am not bored, I do not watch TV
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Official answer(d) If I am not bored, I do not watch TV

Seven men, A, B, C, D, E, F and G are standing in a queue in that order. Each one is wearing a cap of a different colour like violet, indigo, blue, green, yellow, orange and red. D is able to see in front of him green and blue but not violet. E can see violet and yellow, but not red. G can see caps of all colours other than orange. If E is wearing an indigo-coloured cap, then the colour of the cap worn by F is

  1. (a)blue
  2. (b)violet
  3. (c)red
  4. (d)orange
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Official answer(c) red

Which of the following can be inferred from the statement that “Either John is stupid or John is lazy”? I. John is lazy / therefore, John is not stupid. II. John is not lazy / therefore, John is stupid. III. John is not stupid / therefore, John is lazy. IV. John is stupid / therefore, John is not lazy. Choose the correct answer from the codes given below:

  1. (a)I and II
  2. (b)II and III
  3. (c)III and IV
  4. (d)I and IV
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Official answer(b) II and III