AILET Exam Paper with Ans Keys: Section IV- REASONING



AILET-DIAGNOSTIC-PAPER-FOR-LAW-ENTRANCE-TO-NLU



Diagnostic Mock Test on AILET Pattern

SECTION IV:  REASONING

106. Devil is facing North-East. He turns in clockwise direction by 270°, then 90° in the anti-clockwise direction and then another 180° in the clockwise direction and finds the police-man Himanshu right in front of him. Which direction is Himanshu facing?

(a) North-east

(b) South-west

(c) South

(d) cannot be determined

107. How many such pairs of digits are there in the number 8314629 each of which has as many digits between them in the number as after arranging the digits in descending order?

(a) Two                  (b) One

(c) Three                (d) Four

108. Find the next term in the given series: A, G, L, P, S, ................

(a) T                      (b) U

(c) R                      (d) none of these

109. Find the missing term in the series: 2, 12, 30,    _, 90, 132

          (a) 50                     (b) 48

(c) 56                     (d) 52

110. Find the next term in the series: 4, 9, 25, 49, 121, 169, ................

(a) 289                    (b) 225

(c) 256                    (d) 196

111. If HEAD stands for 8514, then what does 6145 stand for?

(a) FIDE                 (b) FADE

(c) FATE                (d) EATE

112. Pointing to a photograph Rahul said, “He is the brother of my father’s mother’s only child’s son.” How is the person in photograph related to Rahul?

(a) cousin              (b) brother-in law

(c) brother              (d) cannot be determined

113. Anita is the sister of Babita. Babita is the sister of Cabita. Cabita is the daughter of Dambru. How is Dambru related to Anita?

(a) father                (b) mother

(c) uncle                (d) father or mother

114. If 1 % 2 = 2, 4 % 16 = 4 and 3 % 9 = 3, then 4 % 20 = ................

(a) 20                     (b) 5

(c) 10                     (d) 4

115. What is the measure of acute angle between the two hands of a clock at 1:10 pm?

(a) 23                     (b) 25

(c) 27                     (d) none of these

Directions (116–120):  In each of these questions, an original statement is followed by four more. You have to pick the one which is magically equivalent to the original. Magically equivalent would mean equal to.

116. Greatness is not the goal of every ambitious person.

(a) All persons who seek greatness are ambitious persons.

(b) Some ambitious persons are not persons who seek greatness.

(c) Some non-ambitious persons are persons who seek greatness.

(d) Persons who seek greatness are ambitions persons.

117. Only sorcerers enjoy magic.

(a) Some people who enjoy magic are sorcerers.

(b) No people who enjoy magic are sorcerers.

(c) All people who enjoy magic are sorcerers.

(d) Some people who enjoy magic are sorcerers.

118. Something is a reptile only if it is cold-blooded.

(a) All reptiles are cold-blooded.

(b) Some reptiles are cold-blooded animals.

(c) No cold-blooded animals are reptiles.

(d) All reptiles are not cold-blooded animals.

119. Almost all of the patients in the hospital will be home within 48 hours.

(a) Some of the patients in the hospital are not people who will be home within 48 hours.

(b) All people who will be home within 48 hours are patients in the hospital.

(c) No people who will not be home within 48 hours are patients in the hospital.

d) Some patients in the hospital are people who will be home within 48 hours.

120. None but the top students will be accepted to the NLS.

 (a) All persons accepted to the NLS are top students.

(b) Some persons accepted to the NLS are top students.

(c) No persons who are top students are not persons who will be accepted to the NLS.

(d) Some persons who are top students will be accepted to the NLS.

For 121–122:  Study the information given below to answer these questions.

I. A school held competitions for chess, table tennis, carrom, kho-kho and volleyball during the annual sports week from Monday to Saturday, each game on one day, one day being a rest day.

II. Carrom competition was held not on the first or on the last day but was held earlier than table tennis competition.

III. Kho-Kho competition was held on the immediate next day of the table tennis competition day.

IV. Chess competition was held on the immediate previous day of the rest day.

V. Kho-Kho competition day and volleyball competition day had a two-day gap between them.

VI. Volleyball competition was held on the immediate following day of the rest day.

121. Which of the following was a rest day?

(a) Wednesday     (b) Tuesday

(c) Friday               (d) Thursday

122. Kho-Kho and carrom competition days had a gap of how many days between them?

(a) nil                     (b) two

(c) three                 (d) none of these

123. What will come in place of the question mark (?) in the following series based on their positions in the English alphabet?

DGH                         JMN

(a) PRS                (b) QST

     ?                           VYZ

(c) OQR               (d) none of these

For questions 124–125:  In each of the following questions two rows of numbers are given. The resultant of each row is to be worked out separately based on the following rules, and the question below the row of numbers is to be answered. The operations of numbers in each row progress from left to right.

Rules:

I. If an odd number is followed by another odd number, they are to be multiplied.

II. If an even number is followed by another even number, the first number is to be divided by the second even number.

III. If an even number is followed by the perfect square of an odd number, the first number is to be subtracted from the second number.

IV. If an odd number is followed by an even number the two are to be added.

V. If an even number is followed by an odd number which is not a perfect square, the square of the odd number is to be added to the even number.

124.   96 16 81 = x

11 15 18 = y

What is the value of y – 2x?

(a) 108         (b) 33

(c) 105                   (d) 36

125.   28 49 13 = x

37 12 22 = y

What will be the sum of the resultants of the two rows?

 (a) 108                 (b) 244

(c) 102                   (d) 344

126. Often,  crimes  are characterised as either  malum  in  se — inherently evil — or

malum  prohibitum — criminal  because  they  are  declared  as  offences  by  a

legislature. Murder is an example of the former. Failing to file a tax return illustrates the latter. Some jurisdictions no longer distinguish between crimes malum in se and malum prohibitum, although many still do. From the information given above, it can be validly concluded:

(a) Many jurisdictions no longer distinguish between crimes malum in se and malum prohibitum.

(b) Some jurisdictions still distinguish between crimes malum in se and malum prohibitum.

(c) Some crimes characterised as malum in se are not inherently evil.

(d) Some  crimes  characterised  as  malum  prohibitum  are  not  declared  by  a legislature to be an offence.

127. A trucking company can act as a common carrier — for hire to the general public at published rates. As a common carrier, it is liable for any cargo damage, unless the company can show that it was not negligent. If the company can demonstrate that it was not negligent, then it is not liable for cargo damage. In contrast, a contract carrier (a trucking company hired by a shipper under a specific contract) is only responsible for cargo damage as spelled out in the contract. A Santa Inc. tractor-trailer, acting under common carrier authority, was in a 5-vehicle accident that damaged its cargo. A Banta Inc. tractor-trailer, acting under contract carrier authority, was involved in the same accident, and its cargo was also damaged.

From  the  information  given  above,  it  can  be  validly  concluded  that,  in reference to the accident,

(a) if Santa Inc. is liable, then it can show that it was not negligent.

(b) if Santa Inc. cannot show that it was not negligent, then it is not liable.

(c) if Santa Inc. can show that it was not negligent, then it is not liable.

(d) if Banta Inc. is liable, then it cannot show that it is negligent.

128. A rapidly changing technical environment in government is promoting greater reliance on electronic mail (e-mail) systems. As this usage grows, there are increasing chances of conflict between the users’ expectations of privacy and public access rights. In some investigations, access to all e-mail, including those messages stored in archival files and messages outside the scope of the investigation, has been sought and granted. In spite of this, some people send messages  through  e-mail  that  would  never  be  said  face-to-face  or  written formally.

From the information given above, it cannot be validly concluded:

(a) Some e-mail messages that have been requested as part of investigations have contained messages that would never be said face-to-face.

(b) Some messages that people would never say face-to-face are sent in e-mail messages.

(c) Some e-mail messages have been requested as part of investigations. (d) E-mail messages have not been exempted from investigations.

129. Priya T. is a former government employee who was entitled to benefits under the Government Employee Compensation Act because of a job-related, disabling injury. When an eligible government employee has such an injury, the benefit is determined by this test: If the beneficiary is married or has dependents, benefits are 3/4 of the person’s salary at the time of the injury; otherwise, benefits are set at 2/3 of the salary. Priya T.’s benefits were 2/3 of her salary when she was injured.

From the information given above, it can be validly concluded that, when Priya

T. was injured, she .................

(a) was married but without dependents

(b) was not married and had no dependents

(c) was not married but had dependents

(d) was married and had dependents

130. Some 4,80,000 immigrants were living in a certain country in 1999. Although most of these immigrants were not employed in professional occupations, many of them were. For instance, many of them were engineers and many of them were nurses. Very few of these immigrants were librarians, another professional occupation.

From the information given above, it can be validly concluded that, in 1999, in the country described above

(a) most immigrants were either engineers or nurses.

(b) it is not the case that some of the nurses were immigrants.

(c) none of the engineers were immigrants.

(d) some of the engineers were immigrants.

​131.  A. All IITs are in India. No BITs are in India. No IITs are BITs.

​         B. All IITs are in India. No BITs are in India. No BITs are IITs.

C. Some IITs are not in India. Some BITs are not in India. Some IITs are BITs.

D. Some IITs are not in India. Some BITs are not in India. Some BITs are IITs.

(a) A and B        (b) C and D

(c) A Only              (d) B Only

​132.   A. Citizens of Samosa Islands speak only the truth. Citizens of Samosa Islands are young people. Young people speak only the truth.

B. Citizens of Samosa Islands speak only the truth. Some Samosa Islands are in the Atlantic. Some citizens of Samosa Islands are in the Atlantic.

​          C. Citizens of Samosa Islands speak only the truth. Some young people are citizens of Samosa Islands. Some young people speak only the truth.

D. Some people speak only the truth. Some citizens of Samosa Islands speak only the truth. Some people who speak only the truth are citizens of Samosa Islands.

​          (a) A Only              (b) B Only

(c) C Only              (d) D Only

​133.   A. All  mammals  are  viviparous.  Some  fish  are  viviparous.  Some  fish  are mammals.

B. All birds are oviparous. Some fish are not oviparous. Some fish are birds.

C. No mammal is oviparous. Some creatures are oviparous and some are not.

​          Some creatures are not mammals.

D. Some  creatures  are  mammals.  Some  creatures  are  viviparous.  Some mammals are viviparous.

(a) A Only              (b) B Only

(c) C Only              (d) D Only

​134.   A. Many singers are not writers. All poets are singers. Some poets are not writers.

B. Giants  climb  beanstalks.  Some  chicken  do  not  climb  beanstalks.  Some chicken are not giants.

C. All  explorers  live  in  snowdrifts.  Some  penguins  live  in  snowdrifts.  Some penguins are explorers.

D. Amar is taller than Akbar. Anthony is shorter than Amar. Akbar is shorter than Anthony.

(a) A Only              (b) B Only

(c) B and C            (d) D Only

135.  A. A few farmers are rocket scientists. Some rocket scientists catch snakes. A ​few farmers catch snakes.

B. Poonam is a kangaroo. Some kangaroos are made of teak. Poonam is made of teak.

​C. No bulls eat grass. All matadors eat grass. No matadors are bulls.

D. Some skunks drive Cadillacs. All skunks are polar bears. Some polar bears drive Cadillacs.

(a) B Only              (b) A and C

(c) C Only            (d) C and D

Directions  for  questions  136  to  140:  The  following  questions  are  based  on  the information below.

Three actress — Riya, Salma, and Tina, appear in a theatrical review that consists of a sequence of skits. In each of these skits either only one, or only two, or all three of

the actors appear. The casts for any two consecutive skits must have at least one member in common but cannot have all members in common. The full cast for a given skit is on stage for the entire duration of that skit.

136. Which of the following can make up the casts in two consecutive skits?

(a) Riya alone followed by Tina alone.

(b) Salma alone followed by Riya and Tina together.

(c) Salma alone followed by Riya, Salma and Tina together.

(d) Salma and Tina together followed by Riya alone.

137. If Salma appears alone in the first and fourth skits, which of the following must be true?

(a) Salma appears in all of the first four skits.

(b) Riya appears only once in the first four skits.

(c) Tina appears both in the second and in the third skits.

(d) Riya, Salma and Tina together appear in the third skit.

138. If in the first five skits Tina appears one more time than Salma, and Salma appears one more time than Riya, which of the following could be true?

(a) Salma appears exactly twice.

(b) Tina appears neither in the second nor in the fourth skit.

(c) Riya appears in two skits in which Tina does not appear.

(d) All three actors appear together in three skits.

139. If in the first five skits Riya and Salma each appears exactly twice as many times as does Tina, which of the following must be true?

(a) Riya and Salma appear together in the first skit.

(b) Riya and Tina appear together in the second skit.

(c) Salma and Tina appear together in the fourth skit.

(d) None of these.

140. If Riya appears in the first skit and then does not appear in the next four skits, which of the following must be the cast in the first two of the first five skits?

I. Salma

II. Tina

III. Salma or Tina together

(a) I only                (b) II only

(c) I and II only       (d) III only

ANSWERS AND EXPLANATIONS

1. (d)                           2. (a)

3. (b)                           4. (c)

5. (d)                           6. (c)

7. (a)                           8. (b)

9. (d)                         10. (a)

11. (b)                         12. (d)

13. (a)                         14. (c)

15. (d)                         16. (a)

17. (d)                         18. (c)

19. (b)                         20. (b)

21. (a)                         22. (a)

23. (d)                         24. (a)

25. (d)                         26. (c)

27. (a)                         28. (b)

29. (c)                         30. (a)

31. (c)                         32. (b)

33. (d)                         34. (b)

35. (c)                         36. (c)

37. (a)                         38. (a)

39. (d)                         40. (a)

41. (b)                         42. (d)

43. (c)                         44. (a)

45. (a)                         46. (d)

47. (b)                         48. (d)

49. (a)                         50. (b)

51. (b)                         52. (d)

53. (d)                         54. (a)

55. (c)                         56. (a)

57. (a)                         58. (c)

59. (b)                         60. (d)

61. (c)                         62. (b)

63. (c)                         64. (a)

65. (b)                         66. (c)

67. (d)                         68. (a)

69. (d)                         70. (c)

71. (b)                         72. (c)

73. (b)                         74. (b)

75. (a)                         76. (c)

77. (a)                         78. (b)

79. (b)                         80. (c)

81. (a)                         82. (b)

83. (b)                         84. (b)

85. (b)                         86. (a)

87. (a)                         88. (a)

89. (c)                         90. (b)

91. (c)                         92. (a)

93. (d)                         94. (a)

95. (b)                         96. (c)

97. (c)                         98. (d)

99. (a)                        100. (c)

101. (d)                       102. (b)

103. (a)                        104. (a)

105. (b)                       106. (d)

107. (a)                        108. (b)

109. (c)                        110. (a)

111. (b)                       112. (a)

113. (d)                       114. (b)

115. (b)                       116. (b)

117. (a)                        118. (a)

119. (d)                       120. (a)

121. (b)                       122. (d)

123. (d)                       124. (b)

125. (d)                       126. (b)

127. (c)                        128. (a)

129. (b)                       130. (d)

131. (a)                        132. (c)

133. (c)                        134. (b)

135. (d)                       136. (c)

137. (a)                        138. (d)

139. (d)                       140. (d)

141. (b)                       142. (d)

143. (b)                       144. (a)

145. (d)                       146. (a)

147. (b)                       148. (c)

149. (d)                       150. (d)

SECTION IV:  REASONING

 

106. Devil turns 270 + 180 – 90 = 360° in clockwise direction and faces north-east again. But, it is not given that Himanshu is facing towards Devil or away from Devil. Therefore, it cannot be determined in which direction is Himanshu facing. Hence, (d).

107. The original number: 8314629

After arranging the digits in descending order: 9864321

In both cases, only one digit is between 9 and 6. Also, in both cases there are 2 digits between 9 and 4. Thus, two such pairs are possible. Hence, (a).

108. A + 6 = G + 5 = L + 4 = P + 3 = S. Thus, S + 2 = U. Hence, (b).

109. 2 = 12 + 1, 12 = 32+ 3, 30 = 52 + 5,    _, 90 = 92 + 9, 132 = 112 + 11

Thus, missing term is: 72 + 7 = 56. Hence, (c).

110. These are squares of consecutive prime numbers: 22, 32, 52, 72, 112, 132. Thus, next term is 172 = 289. Hence, (a).

111. HEAD = 8514, i.e. position of letters in alphabetical order. Thus, FADE will stand

for 6145. Hence, (b).

112. My father’s mother’s only child is my father. My father’s son’s brother is in the photograph. Hence, he is Rahul’s brother. Hence, (a).

113. Anita, Babita and Cabita are children of Dambru. Thus, Dambru could be the father or mother of Anita as it is not given whether Dambru is a male or a female. Hence, (d).

114. The number after % sign is divided by the number preceding the sign. 2/1 = 2,

16/4 = 4, 9/3 = 3. Thus, 4%20 = 20/4 = 5. Hence, (b).

115. q = |

Here, m = 10 and h = 1. Substituting, we get – q = | = 25

Hence, (b).

116. (b)  Not  every  ambitious  person  wants  to  be  greatness,  so  some  ambitious persons will not seek greatness

These two circles show that some ambitious persons are not those who seek greatness.

117. (a)  Only A is B can be interpreted as All B is A so All who enjoy magic are sorcerers.

Above circle shows that as every sorcerer enjoys magic then some sorcerer will definitely enjoy magic.

118. (a)  A only if B can be interpreted as If B then A. Something is a reptile only if it is cold-blooded means if it is a reptile then it is coldblooded so A reptile is cold bloooded.

................Above circle can be drawn from the given statement. Hence illustrates answer (a).

119. (d)  Almost = Some. so Some patients will be home within 48 hours.

................Above  circle  can  be  drawn  from  the  given  statement.  Hence  illustrates  the answer.

120. (a)  None but top = only top. So only top students will be accepted to NLS so All persons in NLS are top students.

Above circle can be drawn from the given statement. Hence illustrates the answer

121–122.

Day

Game

Monday

 Chess

Tuesday

 Rest

Wednesday

Volleyball

Thursday

Carrom

Friday

Table-Tennis

Saturday

Kho-Kho

121. (b)                      

122. (d) one day

123. (d)  The question mark should be replaced by “PST”.

D + 6 = J + 6 = P + 6 = V

G + 6 = M + 6 = S + 6 = Y

H +6 = N + 6 = T + 6 = Z

124. (b)  96 16 81

     96/16                    [Use Rule (II)]

     = 6 81                   [Use Rule (III)]

     81 – 6 = 75 x = 75

                Again,

11   15   18           [Use Rule (I)]

11 x 15 = 165 18    [Use Rule (IV)]

165 + 18 = 183      y = 183

Now, y – 2x = 183 – 2 x 75 = 33

125. (d)  28 49 13

(49 – 28) 13           [Use Rule (III)]

21           13          [Use Rule (I)]

= 273 x = 273

Again,

37   12   22

(37 + 12) 22           [Use Rule (IV)]

49          22           [Use Rule (IV)]

49 + 22 = 71 y = 71

Now x + y = 273 + 71 = 344

126. (b)  From  the  following  statement  '  Some  jurisdictions  no  longer  distinguish between crimes malum in se and malum prohibitum, although many still do.' we can conclude that some jurisdictions even now distinguish between crimes malum in se and malum prohibitum.

127. (c) If Santa Inc. can show that it is not negligent , then it will not be liable. This can

be concluded from ' As a common carrier, it is liable for any cargo damage, unless the company can show that it was not negligent.'.................

128. (a)  A,C and D can be concluded and only B cannot be validly concluded as it is already mentioned explicitly in the passage.................

129. (b) Since priya got 2/3rd of her salary, so it can be concluded that she is neither

married nor has dependants.

130. (d)  A cannot be concluded as the argument mentions other professions. B is not possible as we don't know if all the nurses were immigrants, we just know some immigrants were nurses. C is false. So only D is possible.

131. (a)  A. All + No = No => Hence no IITs are BITS.

B. All + No = No => Hence no BITS are IITs.

132.................All citizens speak truth + Some young are citizens = Some young speak truth.

Therefore answer is (c)

133.................No mammal is oviparous + some creatures are oviparous = Some creatures are not mammal. Those creatures which are oviparous are not mammals.

Hence answer is (c).

134. (b)  All giants climb beanstalk + some chicken do not climb beanstalk = some

chicken are not giants. Hence answer is (b).

135. No bulls eat grass+ All matadors eat grass = No matadors are bulls. Some skunks drive cadillacs + All skunks are polar bears = Some polar bears drive cadillacs.

................Hence option (d).

136. As one member in consecutive skits must be common, thus (c) is a possible case.

Hence, (c).

137. Since Salma appears alone in first and fourth skit, she must appear in second and

third skit to have a common member. Hence, (a).

138. If Riya appears in three skits, then Salma appears in 4 and Tina in 5 skits. In this case, all three can appear together in three skits. Hence, (d).

139. To satisfy the condition, Tina must appear twice and Riya and Salma four times.

In this case none of the statements would be definitely true. Hence, (d).

140. Either of Salma or Tina must be cast in the first two skits to get a common member. Hence, (d).