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Logical Reasoning & DI (LRDI) Test - 30

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Logical Reasoning & DI (LRDI) Test - 30
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  • Question 1
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    In a city, elections are conducted in a peculiar manner. There are three rounds of elections, each round separated by a gap of 4 months. So the candidate is voted for thrice in the election year. If the president of the current term wishes to be re-elected, he can stand only in the first round. If he secures the first place, the others bow out of the race. If he does not, the election process progresses into the second round and then the third. Each candidate is awarded points in every round equal to his position in the round. Finally the grand total of points is made and the candidate with the least total is declared the president elect.

    This year the president lost the elections from all the candidates participated. Of the five other candidates, the winner secured the first position only in the last round with a grand total of 7 points. Three candidates had equal total points and the highest scorer had 4, 5, 2 points in the first, second and third round respectively. There was no tie for any position in any round. In the entire election process, the same person never stood in the same position more than once.

    ...view full instructions

    Which of the following score is not possible to get for any candidate in the first, second and the third round respectively?

    Solution

    Since, the president lost the election, so the elections would be conducted across 3 rounds among 5 candidates having position 1 to 5

    The total points of winner (1st position) = 7 having 1st position giving 1 point in 3rd round

    So, the sum of 1st and 2nd round for 1st position = 6 Possible cases (5 + 1), (4 + 2) or (3 + 3)

    Since, the same person never stood same position, so (5 + 1) or (3 + 3) is not possible Also, no tie for any position in any round. Thus 1st position’s 1st round point = 2 and 2nd round points = 4 respectively

    Now the total points scored by all the 5 candidates among 3 rounds = 3 × (1 + 2 + 3 + 4 + 5) = 45

    Among 45 points, (7 + 11) already scored by 1st and 5th position candidate Remaining points = 45 – (7 + 11) = 27

    Considering, 3 candidates scored equal points, each 2nd, 3rd and 4th position holder scores = 27/3 = 9 points each Possible values to make sum 9 with distinct values = (5, 3, 1) or (4, 3, 2) in any order.

    The rest of the information can be gathered as follows

     

     

  • Question 2
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    In a city, elections are conducted in a peculiar manner. There are three rounds of elections, each round separated by a gap of 4 months. So the candidate is voted for thrice in the election year. If the president of the current term wishes to be re-elected, he can stand only in the first round. If he secures the first place, the others bow out of the race. If he does not, the election process progresses into the second round and then the third. Each candidate is awarded points in every round equal to his position in the round. Finally the grand total of points is made and the candidate with the least total is declared the president elect.

    This year the president lost the elections from all the candidates participated. Of the five other candidates, the winner secured the first position only in the last round with a grand total of 7 points. Three candidates had equal total points and the highest scorer had 4, 5, 2 points in the first, second and third round respectively. There was no tie for any position in any round. In the entire election process, the same person never stood in the same position more than once.

    ...view full instructions

    What is the score of the candidate with the lowest grand total of points in the first, second and the third round respectively?

    Solution

    Since, the president lost the election, so the elections would be conducted across 3 rounds among 5 candidates having position 1 to 5

    The total points of winner (1st position) = 7 having 1st position giving 1 point in 3rd round

    So, the sum of 1st and 2nd round for 1st position = 6 Possible cases (5 + 1), (4 + 2) or (3 + 3)

    Since, the same person never stood same position, so (5 + 1) or (3 + 3) is not possible Also, no tie for any position in any round. Thus 1st position’s 1st round point = 2 and 2nd round points = 4 respectively

    Now the total points scored by all the 5 candidates among 3 rounds = 3 × (1 + 2 + 3 + 4 + 5) = 45

    Among 45 points, (7 + 11) already scored by 1st and 5th position candidate Remaining points = 45 – (7 + 11) = 27

    Considering, 3 candidates scored equal points, each 2nd, 3rd and 4th position holder scores = 27/3 = 9 points each Possible values to make sum 9 with distinct values = (5, 3, 1) or (4, 3, 2) in any order.

    The rest of the information can be gathered as follows-

     

  • Question 3
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    There are nine boxes arranged in a 3×3 array as shown in Tables 1 and 2. Each box contains three sacks. Each sack has a certain number of coins, between 1 and 9, both inclusive. The average number of coins per sack in the boxes are all distinct integers. The total number of coins in each row is the same. The total number of coins in each column is also the same.

    Table 1 gives information regarding the median of the numbers of coins in the three sacks in a box for some of the boxes. In Table 2 each box has a number which represents the number of sacks in that box having more than 5 coins. That number is followed by a * if the sacks in that box satisfy exactly one among the following three conditions, and it is followed by ** if two or more of these conditions are satisfied.

    I. The minimum among the numbers of coins in the three sacks in the box is 1.

    II. The median of the numbers of coins in the three sacks is 1.

    III. The maximum among the numbers of coins in the three sacks in the box is 9.

    ...view full instructions

    What is the total number of coins in all the boxes in the 3rd row?

    Solution


     

  • Question 4
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    There are nine boxes arranged in a 3×3 array as shown in Tables 1 and 2. Each box contains three sacks. Each sack has a certain number of coins, between 1 and 9, both inclusive. The average number of coins per sack in the boxes are all distinct integers. The total number of coins in each row is the same. The total number of coins in each column is also the same.

    Table 1 gives information regarding the median of the numbers of coins in the three sacks in a box for some of the boxes. In Table 2 each box has a number which represents the number of sacks in that box having more than 5 coins. That number is followed by a * if the sacks in that box satisfy exactly one among the following three conditions, and it is followed by ** if two or more of these conditions are satisfied.

    I. The minimum among the numbers of coins in the three sacks in the box is 1.

    II. The median of the numbers of coins in the three sacks is 1.

    III. The maximum among the numbers of coins in the three sacks in the box is 9.

    ...view full instructions

    How many boxes have at least one sack containing 9 coins?

    Solution


     

     

  • Question 5
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    A Public Limited company conducts a psychometric test for its newcomers. The eight major qualities that the management seeks in its employees are Adaptability (A), Collaboration (C), Dedication (D), Flexibility (F), Honesty (H), Integrity (I), Ownership (O) and Risk-taking (R). There are sixteen questions, numbered 1 to 16, in the psychometric test and the choice of answers determines the presence or absence of the above-mentioned qualities in the employee. Each question has a simple Yes or No answer. The HR then strives to provide training to the employee in the right direction. If all answers affecting a quality are ‘Yes’, then the quality is present in the employee. If even one of the answers is ‘No’, then the qualities being affected are absent. The table given below shows the qualities being assessed by each of the sixteen questions:

    ...view full instructions

    For a certain job profile four out of the eight qualities are definitely required, namely Collaboration, Flexibility, Honesty and Ownership. If a candidate qualifies for the job, then out of the sixteen questions how many can have "No" as an answer?

    Solution

    According to the information we can say that the questions that might affect each of these 8 qualities are as follows.

    [Adaptability: Q. 9, 10, 11, 12, 13, 14, 15, 16];

    [Collaboration: Q. 1, 2, 3, 4, 5, 6, 7, 8];

    [Dedication: Q. 5, 6, 7, 8, 13, 14, 15, 16];

    [Flexibility: Q. 1, 2, 3, 4, 9, 10, 11, 12];

    [Honesty: Q. 3, 4, 7, 8, 11, 12, 15, 16];

    [Integrity: Q. 1, 2, 5, 6, 9, 10, 13, 14];

    [Ownership: Q. 2, 4, 6, 8, 10, 12, 14, 16];

    [Risk-taking: Q. 1, 3, 5, 7, 9, 11, 13, 15];

    This can be tabulated as shown below:

     

  • Question 6
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    A Public Limited company conducts a psychometric test for its newcomers. The eight major qualities that the management seeks in its employees are Adaptability (A), Collaboration (C), Dedication (D), Flexibility (F), Honesty (H), Integrity (I), Ownership (O) and Risk-taking (R). There are sixteen questions, numbered 1 to 16, in the psychometric test and the choice of answers determines the presence or absence of the above-mentioned qualities in the employee. Each question has a simple Yes or No answer. The HR then strives to provide training to the employee in the right direction. If all answers affecting a quality are ‘Yes’, then the quality is present in the employee. If even one of the answers is ‘No’, then the qualities being affected are absent. The table given below shows the qualities being assessed by each of the sixteen questions:

    ...view full instructions

    If the answer to one or more even numbered questions was "No" for a candidate, then for which of these qualities will he/she not required to undergo training?

    Solution

    According to the information we can say that the questions that might affect each of these 8 qualities are as follows.

    [Adaptability: Q. 9, 10, 11, 12, 13, 14, 15, 16];

    [Collaboration: Q. 1, 2, 3, 4, 5, 6, 7, 8];

    [Dedication: Q. 5, 6, 7, 8, 13, 14, 15, 16];

    [Flexibility: Q. 1, 2, 3, 4, 9, 10, 11, 12];

    [Honesty: Q. 3, 4, 7, 8, 11, 12, 15, 16];

    [Integrity: Q. 1, 2, 5, 6, 9, 10, 13, 14];

    [Ownership: Q. 2, 4, 6, 8, 10, 12, 14, 16];

    [Risk-taking: Q. 1, 3, 5, 7, 9, 11, 13, 15];

    This can be tabulated as shown below:

     

  • Question 7
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    A Public Limited company conducts a psychometric test for its newcomers. The eight major qualities that the management seeks in its employees are Adaptability (A), Collaboration (C), Dedication (D), Flexibility (F), Honesty (H), Integrity (I), Ownership (O) and Risk-taking (R). There are sixteen questions, numbered 1 to 16, in the psychometric test and the choice of answers determines the presence or absence of the above-mentioned qualities in the employee. Each question has a simple Yes or No answer. The HR then strives to provide training to the employee in the right direction. If all answers affecting a quality are ‘Yes’, then the quality is present in the employee. If even one of the answers is ‘No’, then the qualities being affected are absent. The table given below shows the qualities being assessed by each of the sixteen questions:

    ...view full instructions

    If it is concluded that an employee lacks Dedication but has the qualities of Adaptability, Honesty and Risk taking, then the answer given by him/her to which of the following questions was ‘No’?

    Solution

    According to the information we can say that the questions that might affect each of these 8 qualities are as follows.

    [Adaptability: Q. 9, 10, 11, 12, 13, 14, 15, 16];

    [Collaboration: Q. 1, 2, 3, 4, 5, 6, 7, 8];

    [Dedication: Q. 5, 6, 7, 8, 13, 14, 15, 16];

    [Flexibility: Q. 1, 2, 3, 4, 9, 10, 11, 12];

    [Honesty: Q. 3, 4, 7, 8, 11, 12, 15, 16];

    [Integrity: Q. 1, 2, 5, 6, 9, 10, 13, 14];

    [Ownership: Q. 2, 4, 6, 8, 10, 12, 14, 16];

    [Risk-taking: Q. 1, 3, 5, 7, 9, 11, 13, 15];

    This can be tabulated as shown below:

    Since the employee is lacking in Dedication it has to be one out of Q. 5, 6, 7, 8, 13, 14, 15, 16 that has ‘No’ as an answer. But since the employee has the qualities of Adaptability, Honesty and Risk-taking, therefore Q. 13, 14, 15, 16, 7, 8, and 5 are not the ones with ‘No’ as the answer. Hence, Q. 6 is the one with ‘No’ as the answer.

     

  • Question 8
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    A Public Limited company conducts a psychometric test for its newcomers. The eight major qualities that the management seeks in its employees are Adaptability (A), Collaboration (C), Dedication (D), Flexibility (F), Honesty (H), Integrity (I), Ownership (O) and Risk-taking (R). There are sixteen questions, numbered 1 to 16, in the psychometric test and the choice of answers determines the presence or absence of the above-mentioned qualities in the employee. Each question has a simple Yes or No answer. The HR then strives to provide training to the employee in the right direction. If all answers affecting a quality are ‘Yes’, then the quality is present in the employee. If even one of the answers is ‘No’, then the qualities being affected are absent. The table given below shows the qualities being assessed by each of the sixteen questions:

    ...view full instructions

    If it is concluded that an employee lacks Adaptability but has Flexibility and Ownership, then the presence or absence of which of the following qualities in the employee will definitely help us determine the question for which his/her answer was ‘No’?

    Solution

    According to the information we can say that the questions that might affect each of these 8 qualities are as follows.

    [Adaptability: Q. 9, 10, 11, 12, 13, 14, 15, 16];

    [Collaboration: Q. 1, 2, 3, 4, 5, 6, 7, 8];

    [Dedication: Q. 5, 6, 7, 8, 13, 14, 15, 16];

    [Flexibility: Q. 1, 2, 3, 4, 9, 10, 11, 12];

    [Honesty: Q. 3, 4, 7, 8, 11, 12, 15, 16];

    [Integrity: Q. 1, 2, 5, 6, 9, 10, 13, 14];

    [Ownership: Q. 2, 4, 6, 8, 10, 12, 14, 16];

    [Risk-taking: Q. 1, 3, 5, 7, 9, 11, 13, 15];

    This can be tabulated as shown below:

    If the employee does not possess Adaptability, then the question with ‘No’ as the answer will be one among Q. 9, 10, 11, 12, 13, 14, 15, 16, but since the qualities of Flexibility and Ownership are present, Q. 9, 10, 11, 12, 14, 16 are excluded.

    So the only questions left are 13 and 15. Both these questions are used to determine Risk-taking. Knowing whether the employee possesses Risk-taking will not help us determine the answer. So option (2) is not the answer.

    Both questions are used to determine the presence of Dedication. So option (3) is not the answer.

    Answers for Q.13 or 15 are not used to determine the presence of Collaboration. So option (4) is not the answer.

    Only the answer for Q. 15 is used to determine the presence of Honesty. If the person is not Honest, then Q.15 has the answer ‘No’ otherwise Q.13 has answer ‘No’.

    Hence, option (1) is the correct.

     

  • Question 9
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    Only four different types of food crops – Millets, Pulses, Rice and Wheat – were produced in a state of the country. The table given below shows the production of a crop as a percentage of the total production of four crops in the state during the period 2018-19 to 2021-22.

    ...view full instructions

    If production of Rice as compared to the previous year increased by 25%, 20% and 33.33% in 2019-20, 2020-21 and 2021- 22 respectively, then what was the percentage change in the production of Millets from 2018-19 to 2021-22?

    Solution

     

     

  • Question 10
    3 / -1

    Directions For Questions

    Read the passage carefully and answer the questions that follow

    Only four different types of food crops – Millets, Pulses, Rice and Wheat – were produced in a state of the country. The table given below shows the production of a crop as a percentage of the total production of four crops in the state during the period 2018-19 to 2021-22.

    ...view full instructions

    If the production of wheat was same in the four years, then in which year(s) the percentage change in the total production of crops in the state was highest as compared to the previous year?

    Solution

    Let the total production of crops in 2018-19, 2019-20, 2020-21 and 2021-22 be P1, P2, P3 and P4. Then, 0.4P10.35P2 = 0.25P3 = 0.3P4

    P1: P2 = 7:8; P2: P3 5:7; P3: P4=6:5

    Hence, clearly, the percentage change in the total production is the highest in 2020-21.

     

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