Self Studies

Logical Reasoni...

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  • Question 1
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    Directions For Questions

    A, B, C and D are 4 persons from 4 different continents Asia, Europe, Africa and Australia. Also, each one of them speaks a different language among Spanish, Italian, French and German. Each of the 4 people belongs to one of the 3 categories - Truth-teller, Liar and Alterntor. A truth-teller always speaks the truth, a liar always lies and an alternator alternates between a truth and a lie. It is known that there is at least one liar. Each of the 4 people states 3 sentences each, as follows:

    A:

    1. D does not always speak the truth.

    2. B knows French.

    3. C is from Australia.

    B:

    1. A is a liar.

    2. I do not always speak the truth.

    3. I know French.

    C:

    1. D is not from Europe.

    2. A does not know Spanish.

    3. A is not from Asia.

    D:

    1. I speak French.

    2. There is only one liar.

    3. B is from Asia.

    Based on the information given above, answer the questions that follow.

    ...view full instructions

    The person who speaks French is from which continent?

  • Question 2
    3 / -1

    Directions For Questions

    A, B, C and D are 4 persons from 4 different continents Asia, Europe, Africa and Australia. Also, each one of them speaks a different language among Spanish, Italian, French and German. Each of the 4 people belongs to one of the 3 categories - Truth-teller, Liar and Alterntor. A truth-teller always speaks the truth, a liar always lies and an alternator alternates between a truth and a lie. It is known that there is at least one liar. Each of the 4 people states 3 sentences each, as follows:

    A:

    1. D does not always speak the truth.

    2. B knows French.

    3. C is from Australia.

    B:

    1. A is a liar.

    2. I do not always speak the truth.

    3. I know French.

    C:

    1. D is not from Europe.

    2. A does not know Spanish.

    3. A is not from Asia.

    D:

    1. I speak French.

    2. There is only one liar.

    3. B is from Asia.

    Based on the information given above, answer the questions that follow.

    ...view full instructions

    Who is from Africa?

  • Question 3
    3 / -1

    Directions For Questions

    A, B, C and D are 4 persons from 4 different continents Asia, Europe, Africa and Australia. Also, each one of them speaks a different language among Spanish, Italian, French and German. Each of the 4 people belongs to one of the 3 categories - Truth-teller, Liar and Alterntor. A truth-teller always speaks the truth, a liar always lies and an alternator alternates between a truth and a lie. It is known that there is at least one liar. Each of the 4 people states 3 sentences each, as follows:

    A:

    1. D does not always speak the truth.

    2. B knows French.

    3. C is from Australia.

    B:

    1. A is a liar.

    2. I do not always speak the truth.

    3. I know French.

    C:

    1. D is not from Europe.

    2. A does not know Spanish.

    3. A is not from Asia.

    D:

    1. I speak French.

    2. There is only one liar.

    3. B is from Asia.

    Based on the information given above, answer the questions that follow.

    ...view full instructions

    If German is spoken by a liar, how many statements spoken are true? 

    Enter -1 if it cannot be determined.

  • Question 4
    3 / -1

    Directions For Questions

    A, B, C and D are 4 persons from 4 different continents Asia, Europe, Africa and Australia. Also, each one of them speaks a different language among Spanish, Italian, French and German. Each of the 4 people belongs to one of the 3 categories - Truth-teller, Liar and Alterntor. A truth-teller always speaks the truth, a liar always lies and an alternator alternates between a truth and a lie. It is known that there is at least one liar. Each of the 4 people states 3 sentences each, as follows:

    A:

    1. D does not always speak the truth.

    2. B knows French.

    3. C is from Australia.

    B:

    1. A is a liar.

    2. I do not always speak the truth.

    3. I know French.

    C:

    1. D is not from Europe.

    2. A does not know Spanish.

    3. A is not from Asia.

    D:

    1. I speak French.

    2. There is only one liar.

    3. B is from Asia.

    Based on the information given above, answer the questions that follow.

    ...view full instructions

    Which of the following combinations can be true?

  • Question 5
    3 / -1

    Directions For Questions

    A, B, C and D are 4 persons from 4 different continents Asia, Europe, Africa and Australia. Also, each one of them speaks a different language among Spanish, Italian, French and German. Each of the 4 people belongs to one of the 3 categories - Truth-teller, Liar and Alterntor. A truth-teller always speaks the truth, a liar always lies and an alternator alternates between a truth and a lie. It is known that there is at least one liar. Each of the 4 people states 3 sentences each, as follows:

    A:

    1. D does not always speak the truth.

    2. B knows French.

    3. C is from Australia.

    B:

    1. A is a liar.

    2. I do not always speak the truth.

    3. I know French.

    C:

    1. D is not from Europe.

    2. A does not know Spanish.

    3. A is not from Asia.

    D:

    1. I speak French.

    2. There is only one liar.

    3. B is from Asia.

    Based on the information given above, answer the questions that follow.

    ...view full instructions

    Considering all the attributes, how many arrangements are possible?

  • Question 6
    3 / -1

    Directions For Questions

    A company makes a schedule for 10 projects to be completed. The table shows the time taken to complete each project. However before starting a project, certain project or projects must be completed.  No projects are required to be completed before starting A and B.

    A company can work on any number of projects at a particular point of time.

    ...view full instructions

    What is the minimum time in which all projects can be completed?

  • Question 7
    3 / -1

    Directions For Questions

    A company makes a schedule for 10 projects to be completed. The table shows the time taken to complete each project. However before starting a project, certain project or projects must be completed.  No projects are required to be completed before starting A and B.

    A company can work on any number of projects at a particular point of time.

    ...view full instructions

    What is the maximum number of projects that can be completed in 125 days?

  • Question 8
    3 / -1

    Directions For Questions

    A company makes a schedule for 10 projects to be completed. The table shows the time taken to complete each project. However before starting a project, certain project or projects must be completed.  No projects are required to be completed before starting A and B.

    A company can work on any number of projects at a particular point of time.

    ...view full instructions

    What is the minimum number of days required to complete G?

  • Question 9
    3 / -1

    Directions For Questions

    A company makes a schedule for 10 projects to be completed. The table shows the time taken to complete each project. However before starting a project, certain project or projects must be completed.  No projects are required to be completed before starting A and B.

    A company can work on any number of projects at a particular point of time.

    ...view full instructions

    By what percent is the minimum number of days required to complete F greater than or less than the minimum number of days required to complete I?

  • Question 10
    3 / -1

    Directions For Questions

    A company makes a schedule for 10 projects to be completed. The table shows the time taken to complete each project. However before starting a project, certain project or projects must be completed.  No projects are required to be completed before starting A and B.

    A company can work on any number of projects at a particular point of time.

    ...view full instructions

    By what percent is the minimum number of days required to complete E greater than or less than the minimum number of days required to complete J?

  • Question 11
    3 / -1

    Directions For Questions

    R-city mall in Hyderabad keeps track of the number of customers entering and exiting the mall. The following is the report of one particular day. The mall opens at 10 am and closes at 3.50 pm sharp. Every customer stays at the mall for at least 1 hour.

    ...view full instructions

    The number of people who stayed in the mall for more than 5 hours is at most

  • Question 12
    3 / -1

    Directions For Questions

    R-city mall in Hyderabad keeps track of the number of customers entering and exiting the mall. The following is the report of one particular day. The mall opens at 10 am and closes at 3.50 pm sharp. Every customer stays at the mall for at least 1 hour.

    ...view full instructions

    The number of people who left the mall within 2 hours of entering is at least

  • Question 13
    3 / -1

    Directions For Questions

    R-city mall in Hyderabad keeps track of the number of customers entering and exiting the mall. The following is the report of one particular day. The mall opens at 10 am and closes at 3.50 pm sharp. Every customer stays at the mall for at least 1 hour.

    ...view full instructions

    The number of people who entered the mall in the interval 10 am < x ≤ 11 am and left the mall in the interval 1 pm < x ≤ 2 pm is at most

  • Question 14
    3 / -1

    Directions For Questions

    R-city mall in Hyderabad keeps track of the number of customers entering and exiting the mall. The following is the report of one particular day. The mall opens at 10 am and closes at 3.50 pm sharp. Every customer stays at the mall for at least 1 hour.

    ...view full instructions

    Let ‘x’ be the minimum number of people who left the mall within 2 hrs of entering, and let ‘y’ be the number of people who exited in the interval 3 pm<x ≤ 4 pm. ‘y’ is what percent (in nearest integer) of ‘x’?

  • Question 15
    3 / -1

    Directions For Questions

    R-city mall in Hyderabad keeps track of the number of customers entering and exiting the mall. The following is the report of one particular day. The mall opens at 10 am and closes at 3.50 pm sharp. Every customer stays at the mall for at least 1 hour.

    ...view full instructions

    If all the people entered between $$10<x\le\ 11$$, left before or at 1 pm, what can be the maximum number of people who entered between  $$11<x\le\ 12$$ and left between $$2<x\le\ 3$$.

  • Question 16
    3 / -1

    Directions For Questions

    St. Francis School has 180 students in 11th class studying three subjects Maths, Physics and Chemistry. A students who clears all three subjects is classified as PASSED and is promoted to 12th class. A student who fails to clear one or two but not three subjects is classified as TOLERATED and is promoted to 12th class but has to reappear for the failed subjects. A student who fails to clear all three subjects is classified as FAILED and is not promoted to 12th class and has to reappear for all the three subjects.
    Further it is known that:
    - 40% of 11th class students were classified as PASSED.
    - 16 students were classified as FAILED.
    - The number of students who did not clear Maths is 44
    - The number of students who did not clear only Physics is 13
    - The number of students who did not clear exactly two subjects Maths and Physics is 9

    ...view full instructions

    How many students cleared Maths but not Chemistry?

  • Question 17
    3 / -1

    Directions For Questions

    St. Francis School has 180 students in 11th class studying three subjects Maths, Physics and Chemistry. A students who clears all three subjects is classified as PASSED and is promoted to 12th class. A student who fails to clear one or two but not three subjects is classified as TOLERATED and is promoted to 12th class but has to reappear for the failed subjects. A student who fails to clear all three subjects is classified as FAILED and is not promoted to 12th class and has to reappear for all the three subjects.
    Further it is known that:
    - 40% of 11th class students were classified as PASSED.
    - 16 students were classified as FAILED.
    - The number of students who did not clear Maths is 44
    - The number of students who did not clear only Physics is 13
    - The number of students who did not clear exactly two subjects Maths and Physics is 9

    ...view full instructions

    What percentage of students who cleared Maths cleared at most one other subject? (Approximate your answer to the nearest integer)

  • Question 18
    3 / -1

    Directions For Questions

    St. Francis School has 180 students in 11th class studying three subjects Maths, Physics and Chemistry. A students who clears all three subjects is classified as PASSED and is promoted to 12th class. A student who fails to clear one or two but not three subjects is classified as TOLERATED and is promoted to 12th class but has to reappear for the failed subjects. A student who fails to clear all three subjects is classified as FAILED and is not promoted to 12th class and has to reappear for all the three subjects.
    Further it is known that:
    - 40% of 11th class students were classified as PASSED.
    - 16 students were classified as FAILED.
    - The number of students who did not clear Maths is 44
    - The number of students who did not clear only Physics is 13
    - The number of students who did not clear exactly two subjects Maths and Physics is 9

    ...view full instructions

    What percentage of students who cleared Physics also cleared Chemistry?(Put 0 as the answer if it cannot be determined)

  • Question 19
    3 / -1

    Directions For Questions

    St. Francis School has 180 students in 11th class studying three subjects Maths, Physics and Chemistry. A students who clears all three subjects is classified as PASSED and is promoted to 12th class. A student who fails to clear one or two but not three subjects is classified as TOLERATED and is promoted to 12th class but has to reappear for the failed subjects. A student who fails to clear all three subjects is classified as FAILED and is not promoted to 12th class and has to reappear for all the three subjects.
    Further it is known that:
    - 40% of 11th class students were classified as PASSED.
    - 16 students were classified as FAILED.
    - The number of students who did not clear Maths is 44
    - The number of students who did not clear only Physics is 13
    - The number of students who did not clear exactly two subjects Maths and Physics is 9

    ...view full instructions

    If the number of students who cleared Physics is 104, then what is the number of students who cleared exactly two subjects such that one of them is Maths?

  • Question 20
    3 / -1

    Directions For Questions

    St. Francis School has 180 students in 11th class studying three subjects Maths, Physics and Chemistry. A students who clears all three subjects is classified as PASSED and is promoted to 12th class. A student who fails to clear one or two but not three subjects is classified as TOLERATED and is promoted to 12th class but has to reappear for the failed subjects. A student who fails to clear all three subjects is classified as FAILED and is not promoted to 12th class and has to reappear for all the three subjects.
    Further it is known that:
    - 40% of 11th class students were classified as PASSED.
    - 16 students were classified as FAILED.
    - The number of students who did not clear Maths is 44
    - The number of students who did not clear only Physics is 13
    - The number of students who did not clear exactly two subjects Maths and Physics is 9

    ...view full instructions

    If the number of students who failed in Physics and are classified as TOLERATED is 52, find the number of students who failed in only chemistry?

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