Previous Year Questions

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Previous Year Questions

    101.

    What is the total amount of money (in rupees) in the three pouches kept in the first column of the second row? [TITA]

    Answer : 13

    Video Explanation

    Explanatory Answer

    The minimum and maximum and possible number of coins (overall) in each slot would be as
    follows:

    It is given that the average amount of money kept in the nine pouches in any column or any
    row is an integer (a multiple of nine).
    The total amount of money in the first column must be either 18 or 27 . The minimum value
    of the sum of money in the three slots is 8 11 4 23 and the maximum value is
    10+13+ 4 = 27.
    The number of coins in the first column of the three rows are 10(2 + 4 + 4),13(3+ 5 + 5)
    and 4(1+ 2 +1) Similarly in the third row, the sum must be 18 and in the second column, the
    sum must be 27.
    The number of coins in the second column is 20(6+6 + 8) + 3(1+1+1) and 4(1+1+ 2)
    The third column in the first row would be 6(1+ 2 + 3) and the third column in the third row
    would be 10(2 + 3 +5)
    In the last column, the value in the second row would be 54 -16 = 38(6 +12 +20)
    We have the following figure for the number of coins in the pouches in each slot

    102.

    What is the maximum number of patients that the clinic can cater to on any single day?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    . From 9-11: 30, we have 150 minutes. Doctors Ben, Kane and Wayne take 10,15 and 20
    minutes respectively for each patient. Therefore Ben, Kane and Wayne can see 150/10=15,
    150/15=10 and 150/25=6 respectively. Therefore Ben, Kane and Wayne can see a maximum
    of 15,10 and 6 patients respectively every day. Sum =31

    103.

    The queue is never empty on one particular Saturday. Which of the three doctors would earn the maximum amount in consultation charges on that day?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Given, on Saturday, the queue is not empty.
    => Each doctor sees the maximum number of patients on a day.
    Given Ben, Kane and Wayne charge Rs.100, 200 and 300 respectively.
    => Ben earns 15 (100)= Rs.1500,Kane earns 10(200)
    = Rs .2000, Wayne earns 6(300)= Rs .1800
    Therefore, Kane earns the maximum amount.
    Ans: (Dr. Kane)

    104.

    Mr. Singh visited the clinic on Monday, Wednesday, and Friday of a particular week, arriving at 8:50 a.m. on each of the three days. His token number was 13 on all three days. On which day was he at the clinic for the maximum duration?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Mr. Singh takes maximum duration when he enters Dr. Wayne’s room, who sees each
    patient for 25 minutes

        

    He was at the clinic for 85 minutes.
    Similarly On Wednesday, he would meet Ben and he would be at the clinic for 70 minutes.
    On Friday, he would meet Ben and he would be at the clinic for 70 minutes.
    Therefore, Singh stays at the clinic for the maximum duration on Monday
    Ans: (Monday)

     

    105.

    On a slow Thursday, only two patients are waiting at 9 a.m. After that two patients keep arriving at exact 15 minute intervals starting at 9:15 a.m. -- i.e. at 9:15 a.m., 9:30 a.m., 9:45 a.m. etc. Then the total duration in minutes when all three doctors are simultaneously free is

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

        

    The above pattern continues.
    Hence, there is no time where all the doctors are simultaneously free.
    Ans: (0)

    106.

    Three doctors

    Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-. The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table.

     

    CAT DI LR 2019 Slot 2

     

    The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday. On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.

    101.

    What is the maximum number of patients that the clinic can cater to on any single day?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    . From 9-11: 30, we have 150 minutes. Doctors Ben, Kane and Wayne take 10,15 and 20
    minutes respectively for each patient. Therefore Ben, Kane and Wayne can see 150/10=15,
    150/15=10 and 150/25=6 respectively. Therefore Ben, Kane and Wayne can see a maximum
    of 15,10 and 6 patients respectively every day. Sum =31

    102.

    The queue is never empty on one particular Saturday. Which of the three doctors would earn the maximum amount in consultation charges on that day?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Given, on Saturday, the queue is not empty.
    => Each doctor sees the maximum number of patients on a day.
    Given Ben, Kane and Wayne charge Rs.100, 200 and 300 respectively.
    => Ben earns 15 (100)= Rs.1500,Kane earns 10(200)
    = Rs .2000, Wayne earns 6(300)= Rs .1800
    Therefore, Kane earns the maximum amount.
    Ans: (Dr. Kane)

    103.

    Mr. Singh visited the clinic on Monday, Wednesday, and Friday of a particular week, arriving at 8:50 a.m. on each of the three days. His token number was 13 on all three days. On which day was he at the clinic for the maximum duration?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Mr. Singh takes maximum duration when he enters Dr. Wayne’s room, who sees each
    patient for 25 minutes

        

    He was at the clinic for 85 minutes.
    Similarly On Wednesday, he would meet Ben and he would be at the clinic for 70 minutes.
    On Friday, he would meet Ben and he would be at the clinic for 70 minutes.
    Therefore, Singh stays at the clinic for the maximum duration on Monday
    Ans: (Monday)

     

    104.

    On a slow Thursday, only two patients are waiting at 9 a.m. After that two patients keep arriving at exact 15 minute intervals starting at 9:15 a.m. -- i.e. at 9:15 a.m., 9:30 a.m., 9:45 a.m. etc. Then the total duration in minutes when all three doctors are simultaneously free is

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

        

    The above pattern continues.
    Hence, there is no time where all the doctors are simultaneously free.
    Ans: (0)

    107.

    How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The students who supported proposal B but not A are b (Sunita) and b (Ragini). Among
    them those supported Ragini are b (Ragini) 150. Ans: (150)

    108.

    Students & Proposals

    Students in a college are discussing two proposals --
    A: a proposal by the authorities to introduce dress code on campus, and
    B: a proposal by the students to allow multinational food franchises to set up outlets on college campus.

    A student does not necessarily support either of the two proposals. In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.

    A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.
    1) 250 students supported proposal A and 250 students supported proposal B.
    2) Among the 200 students who preferred Sunita as student union president, 80% supported proposal A.
    3) Among those who preferred Ragini, 30% supported proposal A.
    4) 20% of those who supported proposal B preferred Sunita.
    5) 40% of those who did not support proposal B preferred Ragini.
    6) Every student who preferred Sunita and supported proposal B also supported proposal A.
    7) Among those who preferred Ragini, 20% did not support any of the proposals.

     

     

    101.

    Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president? [TITA]

    Answer : 64

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The required value is 160/250*100 = 64

    102.

    What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president? [TITA]

    Answer : 84

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The required answer is 210/250*100 = 84

    103.

    What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The required answer is 50/250*100 = 50

    104.

    How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The students who supported proposal B but not A are b (Sunita) and b (Ragini). Among
    them those supported Ragini are b (Ragini) 150. Ans: (150)

    109.

    Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president? [TITA]

    Answer : 64

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The required value is 160/250*100 = 64

    110.

    What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president? [TITA]

    Answer : 84

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The required answer is 210/250*100 = 84

    111.

    What percentage of the students surveyed who supported both proposals A and B preferred Sunita as student union president?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    The set of students who like Sunita and Ragini are disjoint sets.
    Hence, the Venn diagram can be drawn as follows

    There are 500 students in all.
    From statement (2)
    Sunita = 200. Hence, Ragini = 300.
    From statement (1) A (Sunita) + A (Ragini) = 250 and B (Sunita) + B (Ragini) = 250.
    From (2), A (Sunita) = 160. Hence, A (Ragini) = 90.
    From (4), B (Sunita) = 20 % of 250 = 50. Hence, B (Ragini) = 200.
    From (6), g (Sunita) = 50 and hence, b (Sunita) = 0 and a (Sunita) = 110. Hence, n (Sunita) =
    40.
    From (7), n (Ragini) = 60
    It is given that 250 support B, hence the other 250 do not support B.
    From (5), (a + n) of Ragini = 40 % of 250 = 100. Hence, a (Ragini) = 40.
    Thus, the final solution is as follows.

    The required answer is 50/250*100 = 50

    112.

    If a ‘Low Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 750 mm or less, then what is the median ‘deviation from LPA’ (as defined in the Y-axis of the figure) of ‘Low Monsoon States’?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

     The Low monsoon states are Gujarat, Karnataka, Rajasthan, MP, Assam, WB, Jharkhand,
    Delhi and Manipur. The deviation from LPA for these states are 25,20,15, 10,-10,-30,-35,-40
    and -60. The median value is -10

    113.

    What is the average rainfall of all states that have actual rainfall of 600 mm or less in 2019 and have a negative deviation from LPA?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

    The states which have a negative deviation from LPA and have an actual rainfall of 600 mm
    or less are Assam, WB, Jharkhand, Delhi and Manipur. The average rainfall in these states is
    2300/5 = 460 mm

    114.

    The LPA of a state for a year is defined as the average rainfall in the preceding 10 years considering the period of June-August. For example, LPA in 2018 is the average rainfall during 2009-2018 and LPA in 2019 is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in 2019 is 20% more than the rainfall in 2009. The LPA of Gujarat in 2019 is closest to

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

    The actual rainfall in Gujarat in 2019 is 600 mm. The rainfall in Gujarat in 2009 was 500 mm.
    As the value of 500 is replaced by 600 in calculating the LPA, the LPA would increase by 10
    as it is the average of 10 years.
    Ans: (490 mm)

    115.

    Rainfall

    To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the 16 states. The figure given below shows the actual rainfall (measured in mm) during June-August, 2019 and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure.

    CAT DI LR 2019 Slot 2

     

    101.

    If a ‘Heavy Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 900 mm or more, then approximately what percentage of ‘Heavy Monsoon States’ have a negative deviation from respective LPAs in 2019?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

    The heavy monsoon states are Maharashtra, Sikkim, Mizoram, Goa, Arunachal, Kerala and
    Meghalaya. Among these, Arunachal, Kerala and Meghalaya have a negative deviation from
    respective LPAs in 2019. The required percentage = 3/7*100 = 42.86

    102.

    If a ‘Low Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 750 mm or less, then what is the median ‘deviation from LPA’ (as defined in the Y-axis of the figure) of ‘Low Monsoon States’?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

     The Low monsoon states are Gujarat, Karnataka, Rajasthan, MP, Assam, WB, Jharkhand,
    Delhi and Manipur. The deviation from LPA for these states are 25,20,15, 10,-10,-30,-35,-40
    and -60. The median value is -10

    103.

    What is the average rainfall of all states that have actual rainfall of 600 mm or less in 2019 and have a negative deviation from LPA?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

    The states which have a negative deviation from LPA and have an actual rainfall of 600 mm
    or less are Assam, WB, Jharkhand, Delhi and Manipur. The average rainfall in these states is
    2300/5 = 460 mm

    104.

    The LPA of a state for a year is defined as the average rainfall in the preceding 10 years considering the period of June-August. For example, LPA in 2018 is the average rainfall during 2009-2018 and LPA in 2019 is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in 2019 is 20% more than the rainfall in 2009. The LPA of Gujarat in 2019 is closest to

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

    The actual rainfall in Gujarat in 2019 is 600 mm. The rainfall in Gujarat in 2009 was 500 mm.
    As the value of 500 is replaced by 600 in calculating the LPA, the LPA would increase by 10
    as it is the average of 10 years.
    Ans: (490 mm)

    116.

    If a ‘Heavy Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 900 mm or more, then approximately what percentage of ‘Heavy Monsoon States’ have a negative deviation from respective LPAs in 2019?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    The actual rainfall in 2019 and the Long Period

    Average (LPA) for the different states are as follows.

    The heavy monsoon states are Maharashtra, Sikkim, Mizoram, Goa, Arunachal, Kerala and
    Meghalaya. Among these, Arunachal, Kerala and Meghalaya have a negative deviation from
    respective LPAs in 2019. The required percentage = 3/7*100 = 42.86

    117.

    Apart from Chinese and English, which languages are spoken by Team 1?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    118.

    Languages spoken

    In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.
    CAT DI LR 2019 Slot 2
    These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.
    The following facts are known.

    (1) Each team speaks exactly four languages and has the same number of members.
    (2) English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.
    (3) None of the teams include both Quentin and Robert.
    (4) Paula and Sally are together in exactly two teams.
    (5) Robert is in Team 1 and Quentin is in Team 3.

     

     

    101.

    Who among the following four is not a member of Team 2?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    102.

    Who among the following four people is a part of exactly two teams?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    103.

    Who among the five people is a member of all teams?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    104.

    Apart from Chinese and English, which languages are spoken by Team 1?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    119.

    Who among the following four is not a member of Team 2?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    120.

    Who among the following four people is a part of exactly two teams?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    121.

    Who among the five people is a member of all teams?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    From (1) and (5), the persons in Team 1 speak English. Chinese. Arabic and French. (Robert
    speaks both Arabic and French).
    From (1) and (5), the persons in Team 3 speak. English, Chinese and Dutch. (Quentin speaks
    Dutch and English). Since each person speaks two languages and each team speaks exactly
    four languages, we need to find one person for Team 3. who speaks one language among
    English, Chinese and Dutch and a different language apart from these three.
    Since, Paula and Sally together speak Basque, Chinese and English and they are together in
    exactly two teams, they cannot be in Team 1. They must be in Teams 2 and 3.
    Hence, from (5) and the above, Paula, Quentin and Sally, (Basque. Chinese. Dutch and
    English) are in Team 3. Since there are three persons in Team 3. Teams 1 and 2 should also
    have three persons each. Team 1 speaks, English, Chinese, Arabic and French. Robert (Arabic
    and French) is one of the team members. Now, two more persons, who speak languages
    among the above four are to be selected. It is possible only with Paula and Terence.
    From (2) Basque and French are spoken by two teams. Hence, Team 2 speaks these two
    languages. Paula and Sally are there in Team 2 (Basque, Chinese and English). We need to
    find one more person, who speaks one of these three languages and French. It is possible
    with only Terence.

    122.

    Which of the following CANNOT be determined uniquely based on the given information?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    123.

    Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:



    1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
    2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
    3. 60% of the politicians are in the administration committee, and 20% are in the teaching committee.

    101.

    Based on the given information, which of the following statements MUST be FALSE?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    102.

    What is the number of bureaucrats in the administration committee? (TITA)

    Answer : 4

    Video Explanation

    Explanatory Answer

    103.

    What is the number of educationalists in the research committee? (TITA)

    Answer : 3

    Video Explanation

    Explanatory Answer

    104.

    Which of the following CANNOT be determined uniquely based on the given information?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    124.

    Based on the given information, which of the following statements MUST be FALSE?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    125.

    What is the number of bureaucrats in the administration committee? (TITA)

    Answer : 4

    Video Explanation

    Explanatory Answer

    126.

    What is the number of educationalists in the research committee? (TITA)

    Answer : 3

    Video Explanation

    Explanatory Answer

    127.

    If Chitra majors in Finance, which subject does Bandita major in?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    128.

    Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:

     

    1. Three students are from X, three are from Y, and the remaining two students, both female, are from Z.
    2. Both the male students from Y minor in Finance, while the female student from Y majors in Operations.
    3. Only one male student majors in Operations, while three female students minor in Marketing.
    4. One female and two male students major in Finance.
    5. Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.
    6. Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.
    7. Daisy minors in Operations.

    101.

    Who are the students from the institute Z?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    102.

    Which subject does Deb minor in?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    103.

    Which subject does Amit major in?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    104.

    If Chitra majors in Finance, which subject does Bandita major in?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    129.

    Who are the students from the institute Z?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    130.

    Which subject does Deb minor in?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    131.

    Which subject does Amit major in?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    132.

    Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low.

    1. Contamination levels at three pumps among P1 – P5 were recorded as high.
    2. P6 was the only pump among P1 – P10 where the contamination level was recorded as low.
    3. P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded.
    4. High contamination levels were not recorded at any of the pumps P16 – P20.
    5. The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded.

     

    101.

    Which of the following MUST be true?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    102.

    What best can be said about the number of pumps at which the contamination levels were recorded as medium?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    103.

    If the contamination level at P11 was recorded as low, then which of the following MUST be true?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    104.

    If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    133.

    Which of the following MUST be true?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    134.

    What best can be said about the number of pumps at which the contamination levels were recorded as medium?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    135.

    If the contamination level at P11 was recorded as low, then which of the following MUST be true?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    136.

    If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    139.

    An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.

    101.

    In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? (TITA)

    Answer : 7 ways

    Video Explanation

    Explanatory Answer

    140.

    In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? (TITA)

    Answer : 7 ways

    Video Explanation

    Explanatory Answer

    142.

    During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    143.

    During which month was the percentage increase in sales from the previous month’s sales the highest?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    144.

    101.

    What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

     

    102.

    In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    103.

    During which quarter was the percentage decrease in sales from the previous quarter’s sales the highest?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    104.

    During which month was the percentage increase in sales from the previous month’s sales the highest?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    145.

    What is the percentage increase in sales in December 2017 as compared to the sales in December 2016?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

     

    146.

    In which quarter of 2017 was the percentage increase in sales from the same quarter of 2016 the highest?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    147.

    Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

        

    148.

    Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    149.

    You are given an n×n square matrix to be filled with numerals so that no two adjacent cells have the same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has three cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

    101.

    What is the minimum number of different numerals needed to fill a 3×3 square matrix? (TITA)

    Answer : 4

    Video Explanation

    Explanatory Answer

     

    102.

    What is the minimum number of different numerals needed to fill a 5×5 square matrix? (TITA)

    Answer : 4

    Video Explanation

    Explanatory Answer

     

    103.

    Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5×5 matrix?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

        

    104.

    Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    150.

    What is the minimum number of different numerals needed to fill a 3×3 square matrix? (TITA)

    Answer : 4

    Video Explanation

    Explanatory Answer