AILET 2020 PhD Question Paper with Answer Key PDFs (September 26)

AILET Questions

• 1.

  All offences are punishable. Not everything that is punishable is an offence. Only that which is punishable is an offence. X, a school student, does not submit her homework on time and is punished by being given extra homework.

  • X has certainly committed an offence
  • X has certainly not committed an offence
  • We do not have sufficient information to determine whether X has committed an offence
  • None of the above
  View Solution

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• 2.

  All whales are mammals. All creatures breathe. Some whales are creatures. Eiffel Tower is a mammal. Examine the following statements :
  I. Eiffel Tower breathes.
  II. Eiffel Tower does not breathe.
  III. Eiffel Tower is a creature.
  IV. Eiffel Tower is not a creature.
  V. Eiffel Tower is a whale.
  VI. Eiffel Tower is not a whale.
  Choose the most appropriate answer.

  • Only I and III follow
  • Only II, IV and VI follow
  • Only V follows
  • None of the above
  View Solution

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• 3.

  All laptops are computers. Some computers are useful. Everything that is useful is precious.
  X is a computer.
  Which of the following statements necessarily follows ?

  • X may be a democratic government.
  • X cannot be fair.
  • X cannot be a democratic government.
  • None of the above
  View Solution

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• 4.

  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 ?

  • Music, English, Maths, Social Studies
  • Science, English, Music, Social Studies
  • Social Studies, English, Maths, Science
  • Maths, English, Science, Social Studies
  View Solution

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• 5.

  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 ?

  • Badminton (Monday), Tennis (Tuesday), Cricket (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Badminton (Sunday)
  • Badminton (Monday), Football (Tuesday), Tennis (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Basketball (Sunday)
  • Badminton (Monday), Football (Tuesday), Tennis (Wednesday), Football (Thursday), Cricket (Friday), Basketball (Saturday), Cricket (Sunday)
  • None of the above
  View Solution

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• 6.

  All whales are mammals. All creatures breathe. Some whales are creatures. Internet is a creature. Examine the following statements :
  I. Internet breathes.
  II. Internet does not breathe.
  III. Internet is a whale.
  IV. Internet is not a whale.
  V. Internet is a mammal.
  VI. Internet is not a mammal.
  Choose the most appropriate answer.

  • Only I follows
  • Only I, II and V follow
  • Only I, IV and VI follow
  • Only III follows
  View Solution