Self Studies

Logical Reasoni...

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  • Question 1
    3 / -1

    Directions For Questions

    Read the below information carefully and answer the following questions.

    There are 40 chocolates in a box. Eight children - Aman, Asha, Arun, Deepa, Esha, Mohit, Govind and Tarun took an unequal number of chocolates from the box.
    1. Each child took a different number of chocolates and at least one chocolate was taken by each child.
    2. Aman took one chocolate more than Deepa.
    3. Mohit took the maximum number of chocolates, which was eight more than the minimum number of chocolates with any of the children.
    4. The total number of chocolates with Esha and Govind was twice the number of chocolates each child would have had if they had divided the chocolates equally among themselves.
    5. Asha took the second lowest number of chocolates.

    ...view full instructions

    How many chocolates did Asha take?

  • Question 2
    3 / -1

    Directions For Questions

    Read the below information carefully and answer the following questions.

    There are 40 chocolates in a box. Eight children - Aman, Asha, Arun, Deepa, Esha, Mohit, Govind and Tarun took an unequal number of chocolates from the box.
    1. Each child took a different number of chocolates and at least one chocolate was taken by each child.
    2. Aman took one chocolate more than Deepa.
    3. Mohit took the maximum number of chocolates, which was eight more than the minimum number of chocolates with any of the children.
    4. The total number of chocolates with Esha and Govind was twice the number of chocolates each child would have had if they had divided the chocolates equally among themselves.
    5. Asha took the second lowest number of chocolates.

    ...view full instructions

    Who took the least number of chocolates?

  • Question 3
    3 / -1

    Directions For Questions

    Read the below information carefully and answer the following questions.

    There are 40 chocolates in a box. Eight children - Aman, Asha, Arun, Deepa, Esha, Mohit, Govind and Tarun took an unequal number of chocolates from the box.
    1. Each child took a different number of chocolates and at least one chocolate was taken by each child.
    2. Aman took one chocolate more than Deepa.
    3. Mohit took the maximum number of chocolates, which was eight more than the minimum number of chocolates with any of the children.
    4. The total number of chocolates with Esha and Govind was twice the number of chocolates each child would have had if they had divided the chocolates equally among themselves.
    5. Asha took the second lowest number of chocolates.

    ...view full instructions

    In how many ways could the children have taken the chocolates?

  • Question 4
    3 / -1

    Directions For Questions

    Read the below information carefully and answer the following questions.

    There are 40 chocolates in a box. Eight children - Aman, Asha, Arun, Deepa, Esha, Mohit, Govind and Tarun took an unequal number of chocolates from the box.
    1. Each child took a different number of chocolates and at least one chocolate was taken by each child.
    2. Aman took one chocolate more than Deepa.
    3. Mohit took the maximum number of chocolates, which was eight more than the minimum number of chocolates with any of the children.
    4. The total number of chocolates with Esha and Govind was twice the number of chocolates each child would have had if they had divided the chocolates equally among themselves.
    5. Asha took the second lowest number of chocolates.

    ...view full instructions

    Which of the following can be true?

  • Question 5
    3 / -1

    Directions For Questions

    Read the below information carefully and answer the following questions.

    There are 40 chocolates in a box. Eight children - Aman, Asha, Arun, Deepa, Esha, Mohit, Govind and Tarun took an unequal number of chocolates from the box.
    1. Each child took a different number of chocolates and at least one chocolate was taken by each child.
    2. Aman took one chocolate more than Deepa.
    3. Mohit took the maximum number of chocolates, which was eight more than the minimum number of chocolates with any of the children.
    4. The total number of chocolates with Esha and Govind was twice the number of chocolates each child would have had if they had divided the chocolates equally among themselves.
    5. Asha took the second lowest number of chocolates.

    ...view full instructions

    Which of the following can be the number of chocolates taken by Tarun?

  • Question 6
    3 / -1

    Directions For Questions

    A Chess Championship was held in Norway, in which 4 players namely Magnus, Tal, Garry, and Anand participated.  Since Tal had not participated in official chess for a while, he was assigned the rating of 0. Others were assigned the ratings 200, 400, and 600 in no order.

    Each player played every other player once, and a player played only 1 game in a day. The tournament lasted for 3 days. At the end of the tournament, the person who won the most number of matches was declared the winner.

    With each match, the assigned ratings of players change as follows:

    If Players 1 and 2 with ratings X and Y respectively are playing where X>Y, then $$a=\frac{\left(X-Y\right)}{4}$$. If Player 1 loses, then the ratings would become (X-a, Y+a). If Player 1 wins, the ratings become (X+a, Y-a). During the tournament, the value of a was always a natural number.

    The ratings were updated at the end of each match.

    The arbiter noted the following things at the end of the tournament:

    1. The ratings of all the Players after both Day 1 and Day 2 were multiples of 10. 

    2. All the games in the tournament were 'upsets' that is, a lower-rated player won against a higher-rated player in each game.

    3. No match was a tie in the tournament.

    ...view full instructions

    If Anand defeated Garry on Day 3, and the absolute decrease in Garry's rating was not the highest among the four, find the rating of Anand after Day 3. (Enter -1 if cannot be determined).

  • Question 7
    3 / -1

    Directions For Questions

    A Chess Championship was held in Norway, in which 4 players namely Magnus, Tal, Garry, and Anand participated.  Since Tal had not participated in official chess for a while, he was assigned the rating of 0. Others were assigned the ratings 200, 400, and 600 in no order.

    Each player played every other player once, and a player played only 1 game in a day. The tournament lasted for 3 days. At the end of the tournament, the person who won the most number of matches was declared the winner.

    With each match, the assigned ratings of players change as follows:

    If Players 1 and 2 with ratings X and Y respectively are playing where X>Y, then $$a=\frac{\left(X-Y\right)}{4}$$. If Player 1 loses, then the ratings would become (X-a, Y+a). If Player 1 wins, the ratings become (X+a, Y-a). During the tournament, the value of a was always a natural number.

    The ratings were updated at the end of each match.

    The arbiter noted the following things at the end of the tournament:

    1. The ratings of all the Players after both Day 1 and Day 2 were multiples of 10. 

    2. All the games in the tournament were 'upsets' that is, a lower-rated player won against a higher-rated player in each game.

    3. No match was a tie in the tournament.

    ...view full instructions

    What was the rating of the winner of the tournament after day 3? (Enter -1 if cannot be determined)

  • Question 8
    3 / -1

    Directions For Questions

    A Chess Championship was held in Norway, in which 4 players namely Magnus, Tal, Garry, and Anand participated.  Since Tal had not participated in official chess for a while, he was assigned the rating of 0. Others were assigned the ratings 200, 400, and 600 in no order.

    Each player played every other player once, and a player played only 1 game in a day. The tournament lasted for 3 days. At the end of the tournament, the person who won the most number of matches was declared the winner.

    With each match, the assigned ratings of players change as follows:

    If Players 1 and 2 with ratings X and Y respectively are playing where X>Y, then $$a=\frac{\left(X-Y\right)}{4}$$. If Player 1 loses, then the ratings would become (X-a, Y+a). If Player 1 wins, the ratings become (X+a, Y-a). During the tournament, the value of a was always a natural number.

    The ratings were updated at the end of each match.

    The arbiter noted the following things at the end of the tournament:

    1. The ratings of all the Players after both Day 1 and Day 2 were multiples of 10. 

    2. All the games in the tournament were 'upsets' that is, a lower-rated player won against a higher-rated player in each game.

    3. No match was a tie in the tournament.

    ...view full instructions

    If the rating of two of the players after the matches of Day 2 was the same, what was the highest rating of any player after Day 2?

  • Question 9
    3 / -1

    Directions For Questions

    A Chess Championship was held in Norway, in which 4 players namely Magnus, Tal, Garry, and Anand participated.  Since Tal had not participated in official chess for a while, he was assigned the rating of 0. Others were assigned the ratings 200, 400, and 600 in no order.

    Each player played every other player once, and a player played only 1 game in a day. The tournament lasted for 3 days. At the end of the tournament, the person who won the most number of matches was declared the winner.

    With each match, the assigned ratings of players change as follows:

    If Players 1 and 2 with ratings X and Y respectively are playing where X>Y, then $$a=\frac{\left(X-Y\right)}{4}$$. If Player 1 loses, then the ratings would become (X-a, Y+a). If Player 1 wins, the ratings become (X+a, Y-a). During the tournament, the value of a was always a natural number.

    The ratings were updated at the end of each match.

    The arbiter noted the following things at the end of the tournament:

    1. The ratings of all the Players after both Day 1 and Day 2 were multiples of 10. 

    2. All the games in the tournament were 'upsets' that is, a lower-rated player won against a higher-rated player in each game.

    3. No match was a tie in the tournament.

    ...view full instructions

    What can be the highest difference between the rating of any two players after Day 3?

  • Question 10
    3 / -1

    Directions For Questions

    A Chess Championship was held in Norway, in which 4 players namely Magnus, Tal, Garry, and Anand participated.  Since Tal had not participated in official chess for a while, he was assigned the rating of 0. Others were assigned the ratings 200, 400, and 600 in no order.

    Each player played every other player once, and a player played only 1 game in a day. The tournament lasted for 3 days. At the end of the tournament, the person who won the most number of matches was declared the winner.

    With each match, the assigned ratings of players change as follows:

    If Players 1 and 2 with ratings X and Y respectively are playing where X>Y, then $$a=\frac{\left(X-Y\right)}{4}$$. If Player 1 loses, then the ratings would become (X-a, Y+a). If Player 1 wins, the ratings become (X+a, Y-a). During the tournament, the value of a was always a natural number.

    The ratings were updated at the end of each match.

    The arbiter noted the following things at the end of the tournament:

    1. The ratings of all the Players after both Day 1 and Day 2 were multiples of 10. 

    2. All the games in the tournament were 'upsets' that is, a lower-rated player won against a higher-rated player in each game.

    3. No match was a tie in the tournament.

    ...view full instructions

    What can be the maximum fall in the rating of any player from final ratings after day 1 to final ratings after day 2

  • Question 11
    3 / -1

    Directions For Questions

    Srikanth wants to go on a camping trip with exactly five of his friends. He has to select five friends who will accompany him out of eight friends - A through H. Of these eight friends, C, D, E, H are girls and the remaining are boys. Further, only C, E, and F know how to cook. When selecting the five friends, Srikanth wants to select at least two friends who know how to cook.

    Further, it is also known that
    1) if A is selected, E cannot be selected
    2) if B is selected, both C and D must be selected.
    3) G cannot be selected unless F is selected
    4) C can only be selected if and only if G is selected
    5) H cannot be selected unless both B and F are selected

    ...view full instructions

    How many of the eight friends will definitely be selected?

  • Question 12
    3 / -1

    Directions For Questions

    Srikanth wants to go on a camping trip with exactly five of his friends. He has to select five friends who will accompany him out of eight friends - A through H. Of these eight friends, C, D, E, H are girls and the remaining are boys. Further, only C, E, and F know how to cook. When selecting the five friends, Srikanth wants to select at least two friends who know how to cook.

    Further, it is also known that
    1) if A is selected, E cannot be selected
    2) if B is selected, both C and D must be selected.
    3) G cannot be selected unless F is selected
    4) C can only be selected if and only if G is selected
    5) H cannot be selected unless both B and F are selected

    ...view full instructions

    Who among the following will definitely not be selected?

  • Question 13
    3 / -1

    Directions For Questions

    Srikanth wants to go on a camping trip with exactly five of his friends. He has to select five friends who will accompany him out of eight friends - A through H. Of these eight friends, C, D, E, H are girls and the remaining are boys. Further, only C, E, and F know how to cook. When selecting the five friends, Srikanth wants to select at least two friends who know how to cook.

    Further, it is also known that
    1) if A is selected, E cannot be selected
    2) if B is selected, both C and D must be selected.
    3) G cannot be selected unless F is selected
    4) C can only be selected if and only if G is selected
    5) H cannot be selected unless both B and F are selected

    ...view full instructions

    In how many ways can the friends be selected?

  • Question 14
    3 / -1

    Directions For Questions

    Srikanth wants to go on a camping trip with exactly five of his friends. He has to select five friends who will accompany him out of eight friends - A through H. Of these eight friends, C, D, E, H are girls and the remaining are boys. Further, only C, E, and F know how to cook. When selecting the five friends, Srikanth wants to select at least two friends who know how to cook.

    Further, it is also known that
    1) if A is selected, E cannot be selected
    2) if B is selected, both C and D must be selected.
    3) G cannot be selected unless F is selected
    4) C can only be selected if and only if G is selected
    5) H cannot be selected unless both B and F are selected

    ...view full instructions

    What is the maximum number of girls that Srikanth can select?

  • Question 15
    3 / -1

    Directions For Questions

    Srikanth wants to go on a camping trip with exactly five of his friends. He has to select five friends who will accompany him out of eight friends - A through H. Of these eight friends, C, D, E, H are girls and the remaining are boys. Further, only C, E, and F know how to cook. When selecting the five friends, Srikanth wants to select at least two friends who know how to cook.

    Further, it is also known that
    1) if A is selected, E cannot be selected
    2) if B is selected, both C and D must be selected.
    3) G cannot be selected unless F is selected
    4) C can only be selected if and only if G is selected
    5) H cannot be selected unless both B and F are selected

    ...view full instructions

    In how many ways can Srikanth choose a group having C and E?

  • Question 16
    3 / -1

    Directions For Questions

    A team of 14 members consisting of male, female and children underwent their medical tests to determine the BMI and the Body fat composition. The reports for the team are given below in the form of a scatter plot.

    1) The members were sub-divided into three groups based on their respective value of 'k' where 'k' is defined as the percentage difference of the value of BMI with respect to that of body fat percentage.

    2) The three groups were- (i) G1: k$$\le$$30     (ii) G2: 30< k< 60 and (iii) G3: k $$\ge$$60

    3) When the members of the three groups were arranged in ascending order of k, all the six children occupied extreme ends of the three groups. 

    4) G2 had no male members and G3 had no female members.

    5) Only 1 male was present in G1 and his % difference data was the median for the data of G1.

    ...view full instructions

    What is the total number of females in the team of 14 members?

  • Question 17
    3 / -1

    Directions For Questions

    A team of 14 members consisting of male, female and children underwent their medical tests to determine the BMI and the Body fat composition. The reports for the team are given below in the form of a scatter plot.

    1) The members were sub-divided into three groups based on their respective value of 'k' where 'k' is defined as the percentage difference of the value of BMI with respect to that of body fat percentage.

    2) The three groups were- (i) G1: k$$\le$$30     (ii) G2: 30< k< 60 and (iii) G3: k $$\ge$$60

    3) When the members of the three groups were arranged in ascending order of k, all the six children occupied extreme ends of the three groups. 

    4) G2 had no male members and G3 had no female members.

    5) Only 1 male was present in G1 and his % difference data was the median for the data of G1.

    ...view full instructions

    What is the median of the data for percentage change in BMI with respect to Body Fat % when all the 14 members are considered at a time and not divided into groups?

  • Question 18
    3 / -1

    Directions For Questions

    A team of 14 members consisting of male, female and children underwent their medical tests to determine the BMI and the Body fat composition. The reports for the team are given below in the form of a scatter plot.

    1) The members were sub-divided into three groups based on their respective value of 'k' where 'k' is defined as the percentage difference of the value of BMI with respect to that of body fat percentage.

    2) The three groups were- (i) G1: k$$\le$$30     (ii) G2: 30< k< 60 and (iii) G3: k $$\ge$$60

    3) When the members of the three groups were arranged in ascending order of k, all the six children occupied extreme ends of the three groups. 

    4) G2 had no male members and G3 had no female members.

    5) Only 1 male was present in G1 and his % difference data was the median for the data of G1.

    ...view full instructions

    If a committee of 8 members is to be created out of the 14 members such that there are two males, 3 females and 3 children in it; then who among the following will definitely be included in the committee?

  • Question 19
    3 / -1

    Directions For Questions

    A team of 14 members consisting of male, female and children underwent their medical tests to determine the BMI and the Body fat composition. The reports for the team are given below in the form of a scatter plot.

    1) The members were sub-divided into three groups based on their respective value of 'k' where 'k' is defined as the percentage difference of the value of BMI with respect to that of body fat percentage.

    2) The three groups were- (i) G1: k$$\le$$30     (ii) G2: 30< k< 60 and (iii) G3: k $$\ge$$60

    3) When the members of the three groups were arranged in ascending order of k, all the six children occupied extreme ends of the three groups. 

    4) G2 had no male members and G3 had no female members.

    5) Only 1 male was present in G1 and his % difference data was the median for the data of G1.

    ...view full instructions

    What is the average value of 'k' for all the children?

  • Question 20
    3 / -1

    Directions For Questions

    A team of 14 members consisting of male, female and children underwent their medical tests to determine the BMI and the Body fat composition. The reports for the team are given below in the form of a scatter plot.

    1) The members were sub-divided into three groups based on their respective value of 'k' where 'k' is defined as the percentage difference of the value of BMI with respect to that of body fat percentage.

    2) The three groups were- (i) G1: k$$\le$$30     (ii) G2: 30< k< 60 and (iii) G3: k $$\ge$$60

    3) When the members of the three groups were arranged in ascending order of k, all the six children occupied extreme ends of the three groups. 

    4) G2 had no male members and G3 had no female members.

    5) Only 1 male was present in G1 and his % difference data was the median for the data of G1.

    ...view full instructions

    What is the mean of BMI data for all females?

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