Reasoning PYQs

Ten friends: A, B, C, D, E, F, J, K, L and M.

Three branches: B.sc, B.com and B.A.

1. A and B in the same branch but not in the B.com. A and B are not in B.com so they will be either in the B. A. or in the B.sc, now we have two cases for A and B.

Case 1.

Case 2.

2) D and C are in the different branch but not in the B.com. C does not study with A.

Case 1. 

Case 2.

3) L studies with three more friends in the B.A. Here it is fixed that there three friends in B. A. so possibility of A, B and D in the B. A. is canceled here, now we continue with A, B and D in the B.sc,

4. K is neither in the same branch with A nor studies in the B.com,

5. F is neither in the same branch with A nor with J. F is in the branch having more than three students but not in the B.com.

6.  J study with two more friends but not in the B.A. J and K are in the different branch and neither of them is in the same branch with D.

7. E is not in the same branch with B or C, so E will be in B.com. 

8. M is neither in the same branch with F nor with the D, so M will be in the B.com. Now the final arrangement is as follows;

Hence, 'F' is in the same branch with 'C'.

Ten friends: A, B, C, D, E, F, J, K, L and M.

Three branches: B.sc, B.com and B.A.

1. A and B in the same branch but not in the B.com. A and B are not in B.com so they will be either in the B. A. or in the B.sc, now we have two cases for A and B.

Case 1.

Case 2.

2) D and C are in the different branch but not in the B.com. C does not study with A.

Case 1. 

Case 2.

3) L studies with three more friends in the B.A. Here it is fixed that there three friends in B. A. so possibility of A, B and D in the B. A. is canceled here, now we continue with A, B and D in the B.sc,

4. K is neither in the same branch with A nor studies in the B.com,

5. F is neither in the same branch with A nor with J. F is in the branch having more than three students but not in the B.com.

6)  J study with two more friends but not in the B.A. J and K are in the different branch and neither of them is in the same branch with D.

7. E is not in the same branch with B or C, so E will be in B.com. 

8. M is neither in the same branch with F nor with the D, so M will be in the B.com. Now the final arrangement is as follows;

Hence, branch of D is 'B.sc',

Ten friends: A, B, C, D, E, F, J, K, L and M.

Three branches: B.sc, B.com and B.A.

1. A and B in the same branch but not in the B.com. A and B are not in B.com so they will be either in the B. A. or in the B.sc, now we have two cases for A and B.

Case 1.

Case 2.

2) D and C are in the different branch but not in the B.com. C does not study with A.

Case 1. 

Case 2.

3) L studies with three more friends in the B.A. Here it is fixed that there three friends in B. A. so possibility of A, B and D in the B. A. is canceled here, now we continue with A, B and D in the B.sc,

4. K is neither in the same branch with A nor studies in the B.com,

5. F is neither in the same branch with A nor with J. F is in the branch having more than three students but not in the B.com.

6)  J study with two more friends but not in the B.A. J and K are in the different branch and neither of them is in the same branch with D.

7. E is not in the same branch with B or C, so E will be in B.com. 

8. M is neither in the same branch with F nor with the D, so M will be in the B.com. Now the final arrangement is as follows;

Hence, 'K' is in the 'B.A'.

Ten friends: A, B, C, D, E, F, J, K, L and M.

Three branches: B.sc, B.com and B.A.

1. A and B in the same branch but not in the B.com. A and B are not in B.com so they will be either in the B. A. or in the B.sc, now we have two cases for A and B.

Case 1.

Case 2.

2) D and C are in the different branch but not in the B.com. C does not study with A.

Case 1. 

Case 2.

3) L studies with three more friends in the B.A. Here it is fixed that there three friends in B. A. so possibility of A, B and D in the B. A. is canceled here, now we continue with A, B and D in the B.sc,

4. K is neither in the same branch with A nor studies in the B.com,

5. F is neither in the same branch with A nor with J. F is in the branch having more than three students but not in the B.com.

6)  J study with two more friends but not in the B.A. J and K are in the different branch and neither of them is in the same branch with D.

7. E is not in the same branch with B or C, so E will be in B.com. 

8. M is neither in the same branch with F nor with the D, so M will be in the B.com. Now the final arrangement is as follows;

Hence, L is in the same branch with C, K and F.

Ten friends: A, B, C, D, E, F, J, K, L and M.

Three branches: B.sc, B.com and B.A.

1. A and B in the same branch but not in the B.com. A and B are not in B.com so they will be either in the B. A. or in the B.sc, now we have two cases for A and B.

Case 1.

Case 2.

2) D and C are in the different branch but not in the B.com. C does not study with A.

Case 1. 

Case 2.

3) L studies with three more friends in the B.A. Here it is fixed that there three friends in B. A. so possibility of A, B and D in the B. A. is canceled here, now we continue with A, B and D in the B.sc,

4. K is neither in the same branch with A nor studies in the B.com,

5. F is neither in the same branch with A nor with J. F is in the branch having more than three students but not in the B.com.

6)  J study with two more friends but not in the B.A. J and K are in the different branch and neither of them is in the same branch with D.

7. E is not in the same branch with B or C, so E will be in B.com. 

8. M is neither in the same branch with F nor with the D, so M will be in the B.com. Now the final arrangement is as follows;

Hence, in 'B.A'. branch there are more than three students.

Ten persons: Sagar, Anurag, Sanket, Vinit, Amit, Rajesh, Aditya, Himanshu, Akshay, and Sujit 

Face Direction: Away from the center.

1) Sanket is sitting fourth to the right of Akshay.

2) Three persons are sitting between Sujit and Sanket

3) Rajesh is an immediate neighbor of Sujit.

4. Amit is sitting fourth to the right of Rajesh.

5) Amit is an immediate neighbor of Sagar.

6) Himanshu is sitting third to the right of Sagar.

7. Three people are sitting between Himanshu and Vinit.

8. Aditya is sitting third to the left of Anurag.

(In case 2, Aditya can not sit third to the left of Anurag so we can eliminate case 2)

The final arrangement will be as follows:

Hence, Aditya is sitting three places away from Akshay in the clockwise direction.

Ten persons: Sagar, Anurag, Sanket, Vinit, Amit, Rajesh, Aditya, Himanshu, Akshay, and Sujit 

Face Direction: Away from the center.

1) Sanket is sitting fourth to the right of Akshay.

2) Three persons are sitting between Sujit and Sanket

3) Rajesh is an immediate neighbor of Sujit.

4. Amit is sitting fourth to the right of Rajesh.

5) Amit is an immediate neighbor of Sagar.

6) Himanshu is sitting third to the right of Sagar.

7. Three people are sitting between Himanshu and Vinit.

8. Aditya is sitting third to the left of Anurag.

(In case 2, Aditya can not sit third to the left of Anurag so we can eliminate case 2)

The final arrangement will be as follows:

Hence, Rajesh is sitting immediately next to Sujit and Anurag.

Ten persons: Sagar, Anurag, Sanket, Vinit, Amit, Rajesh, Aditya, Himanshu, Akshay, and Sujit 

Face Direction: Away from the center.

1) Sanket is sitting fourth to the right of Akshay.

2) Three persons are sitting between Sujit and Sanket

3) Rajesh is an immediate neighbor of Sujit.

4. Amit is sitting fourth to the right of Rajesh.

5) Amit is an immediate neighbor of Sagar.

6) Himanshu is sitting third to the right of Sagar.

7. Three people are sitting between Himanshu and Vinit.

8. Aditya is sitting third to the left of Anurag.

(In case 2, Aditya can not sit third to the left of Anurag so we can eliminate case 2)

The final arrangement will be as follows:

Hence, Sagar is sitting opposite Rajesh.

Ten persons: Sagar, Anurag, Sanket, Vinit, Amit, Rajesh, Aditya, Himanshu, Akshay, and Sujit 

Face Direction: Away from the center.

1) Sanket is sitting fourth to the right of Akshay.

2) Three persons are sitting between Sujit and Sanket

3) Rajesh is an immediate neighbor of Sujit.

4. Amit is sitting fourth to the right of Rajesh.

5) Amit is an immediate neighbor of Sagar.

6) Himanshu is sitting third to the right of Sagar.

7. Three people are sitting between Himanshu and Vinit.

8. Aditya is sitting third to the left of Anurag.

(In case 2, Aditya can not sit third to the left of Anurag so we can eliminate case 2)

The final arrangement will be as follows:

Hence**, Anurag** is sitting third to the left of Vinit.

Ten persons: Sagar, Anurag, Sanket, Vinit, Amit, Rajesh, Aditya, Himanshu, Akshay, and Sujit 

Face Direction: Away from the center.

1) Sanket is sitting fourth to the right of Akshay.

2) Three persons are sitting between Sujit and Sanket

3) Rajesh is an immediate neighbor of Sujit.

4. Amit is sitting fourth to the right of Rajesh.

5) Amit is an immediate neighbor of Sagar.

6) Himanshu is sitting third to the right of Sagar.

7. Three people are sitting between Himanshu and Vinit.

8. Aditya is sitting third to the left of Anurag.

(In case 2, Aditya can not sit third to the left of Anurag so we can eliminate case 2)

The final arrangement will be as follows:

Hence, 4 persons are sitting between Sujit and Aditya.

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. Some Brother are not Uncle → True (Some Brother which are Father can never be Uncle as shown in the least possible diagram.)

II. All Son being Uncle is a possibility → True (All Son being Uncle is a possibility as shown in the diagram below.)

III. All Son being Father is a possibility → True ( All Son being Father is a possibility as shown in the diagram below.) 

Hence, All the given conclusions are correct.

Additional Information:

Case of possibility:

1. If conclusion is 100% right or 100% wrong and possibility is written with it, then it is consider as wrong conclusion or False.

Definitely True + Possibility= False

Definitely False + Possibility = False

2. If conclusion is CND and possibility is written with it, then it is consider as right conclusion or True.

CND + Possibility = True

The least possible venn diagram for the given statements is,

Conclusions:

I. Some Silver are not Copper → True (As the relation of “only a few” is given between the elements, which implies that “some” and “some not” both are true)

II. Some Copper are not Bronze → True (As the relation of “only a few” is given between the elements, which implies that “some” and “some not” both are true)

III. Some Gold are not Silver → True (As the relation of “only a few” is given between the elements, which implies that “some” and “some not” both are true)

Hence, All follow is the correct answer.

The least possible Venn diagram is shown below,

i) All Crow are Bird ⇒ False (as there is no direct relation between Crow and bird so, it is possible but not definite)

ii) Some Duck are Sparrow ⇒ True (As all duck is bird and all bird is sparrow so, some ducks are definitely sparrow)

iii) All Crow are Sparrow is a possibility ⇒ False (Only a few Crow are Sparrow means some crows are sparrow and some Crow are not sparrow so, all crows can never be sparrow)

Hence, only II follows.

Days = Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday

Breakfast = Bread, Noodles, Rice, Burger, Pizza, Soup, and Corn

1) The soup was served three days after the day on which Rice was served.

Implies, Rice was served either on Thursday or before Thursday.

2) Rice was not served either on Tuesday or Thursday.

Implies, Rice was served either on Monday or Wednesday, and accordingly, the soup was served on either Thursday or Saturday.

3) Either Corn or Noodles were served on Thursday.

Implies, the soup was not served on Thursday. Thus, Rice was served on Wednesday and the soup was served on Saturday.

 

4) The bread was served on one of the days after the day on which soup was served. 

As the soup was served on Saturday, implies, the Bread was served on Sunday.

 

5. Pizza was served on one of the days after Rice was served. 

There is only one option for Pizza i.e. Friday as we have already identified the items served on other days.

 

6) The burger was served immediately the next day after Noodles were served. 

Implies, the Noodles were not served on Thursday because Pizza was served on Friday. Thus, Noodles were served on Monday and the Burger was served on Tuesday. It further implies that Corn was served on Thursday.

 

Hence, Friday is the correct answer.

Days = Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday

Breakfast = Bread, Noodles, Rice, Burger, Pizza, Soup, and Corn

1) The soup was served three days after the day on which Rice was served.

Implies, Rice was served either on Thursday or before Thursday.

2) Rice was not served either on Tuesday or Thursday.

Implies, Rice was served either on Monday or Wednesday, and accordingly, the soup was served on either Thursday or Saturday.

3) Either Corn or Noodles were served on Thursday.

Implies, the soup was not served on Thursday. Thus, Rice was served on Wednesday and the soup was served on Saturday.

 

4) The bread was served on one of the days after the day on which soup was served. 

As the soup was served on Saturday, implies, the Bread was served on Sunday.

 

5. Pizza was served on one of the days after Rice was served. 

There is only one option for Pizza i.e. Friday as we have already identified the items served on other days.

 

6) The burger was served immediately the next day after Noodles were served. 

Implies, the Noodles were not served on Thursday because Pizza was served on Friday. Thus, Noodles were served on Monday and the Burger was served on Tuesday. It further implies that Corn was served on Thursday.

 

Hence, Burger is the correct answer.

Days = Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday

Breakfast = Bread, Noodles, Rice, Burger, Pizza, Soup, and Corn

1) The soup was served three days after the day on which Rice was served.

Implies, Rice was served either on Thursday or before Thursday.

2) Rice was not served either on Tuesday or Thursday.

Implies, Rice was served either on Monday or Wednesday, and accordingly, the soup was served on either Thursday or Saturday.

3) Either Corn or Noodles were served on Thursday.

Implies, the soup was not served on Thursday. Thus, Rice was served on Wednesday and the soup was served on Saturday.

 

4) The bread was served on one of the days after the day on which soup was served. 

As the soup was served on Saturday, implies, the Bread was served on Sunday.

 

 

5. Pizza was served on one of the days after Rice was served. 

There is only one option for Pizza i.e. Friday as we have already identified the items served on other days.

 

6) The burger was served immediately the next day after Noodles were served. 

Implies, the Noodles were not served on Thursday because Pizza was served on Friday. Thus, Noodles were served on Monday and the Burger was served on Tuesday. It further implies that Corn was served on Thursday.

 

Hence, Bread is the correct answer.

Days = Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday

Breakfast = Bread, Noodles, Rice, Burger, Pizza, Soup, and Corn

1) The soup was served three days after the day on which Rice was served.

Implies, Rice was served either on Thursday or before Thursday.

2) Rice was not served either on Tuesday or Thursday.

Implies, Rice was served either on Monday or Wednesday, and accordingly, the soup was served on either Thursday or Saturday.

3) Either Corn or Noodles were served on Thursday.

Implies, the soup was not served on Thursday. Thus, Rice was served on Wednesday and the soup was served on Saturday.

 

4) The bread was served on one of the days after the day on which soup was served. 

As the soup was served on Saturday, implies, the Bread was served on Sunday.

 

5. Pizza was served on one of the days after Rice was served. 

There is only one option for Pizza i.e. Friday as we have already identified the items served on other days.

 

6) The burger was served immediately the next day after Noodles were served. 

Implies, the Noodles were not served on Thursday because Pizza was served on Friday. Thus, Noodles were served on Monday and the Burger was served on Tuesday. It further implies that Corn was served on Thursday.

 

Hence, Wednesday is the correct answer.

Days = Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday

Breakfast = Bread, Noodles, Rice, Burger, Pizza, Soup, and Corn

1) The soup was served three days after the day on which Rice was served.

Implies, Rice was served either on Thursday or before Thursday.

2) Rice was not served either on Tuesday or Thursday.

Implies, Rice was served either on Monday or Wednesday, and accordingly, the soup was served on either Thursday or Saturday.

3) Either Corn or Noodles were served on Thursday.

Implies, the soup was not served on Thursday. Thus, Rice was served on Wednesday and the soup was served on Saturday.

 

4) The bread was served on one of the days after the day on which soup was served. 

As the soup was served on Saturday, implies, the Bread was served on Sunday.

 

 

5. Pizza was served on one of the days after Rice was served. 

There is only one option for Pizza i.e. Friday as we have already identified the items served on other days.

 

6) The burger was served immediately the next day after Noodles were served. 

Implies, the Noodles were not served on Thursday because Pizza was served on Friday. Thus, Noodles were served on Monday and the Burger was served on Tuesday. It further implies that Corn was served on Thursday.

 

Hence, Noodles is the correct answer.

According to the given information,

​

 

 

 

 

Given

Statement:

J # K, K @ P, P $ R

On Converting: J > K, K = P, P < R

On Combining: J > K = P < R

Conclusions:

I. J # R → J > R → False (As J > K = P < R, Here clear relation between J and R can't be determined)

II. R $ J → R < J → False (As J > K = P < R, Here clear relation between J and R can't be determined)

Hence, Neither conclusion I nor II is true$.

According to the given information,

 

 

 

 

 

Given

Statements:

P # R, R @ L, L & T

On Converting: P > R, R = L, L ≥ T

On Combining: P > R = L ≥ T

Conclusions:

I. L $ P → L < P → True (As P > R = L → P > L, Here we give priority to > sign)

II. P # T → P > T → True (As P > R = L ≥ T → P > T, Here we give priority to > sign)

Hence, Both conclusion I and II are true.