Reasoning PYQs

The best possible Venn diagram is,

Conclusions:

I. All Yellow being Blue is a possibility: True(as no such restriction is seen in the diagram above, it is possible)

II. Some Pink are Red: False (No direct relation between Red and Pink)

Hence, Only conclusion I follow.

Additional InformationOnly a few A are B means some A are B and some A are not B.

Some B is not A - false

All B being A is a possibility - true

All A being B is a possibility - false

Statement:

Only a few Sea are River → Some parts of Sea are River and Some parts of sea are not River.

All River are Water bodies → All river will be part of Waterbodies

The least possible venn diagram will be.

Conclusion:

I. Some Sea are Water bodies → True ( Some parts of Sea are River and All River are water bodies hence some sea are water bodies)

II. All sea are River → False ( Some parts of Sea are River and Some parts of the sea are not River hence all sea are river is False )

Hence,Only I follow.

Statement:

C < R < I ≤ T ≤ S = Y > P ≥ A < L < D < F ≥ G ≥ H

Conclusions:

I. Y > C → True (C < R < I ≤ T ≤ S = Y → C < Y also, Y > C)

II. Y > D → False (Y > P ≥ A < L < D, as definite relationship between Y and D cannot be determined).

III. I < A → False (I ≤ T ≤ S = Y > P ≥ A , as definite relationship between I and A cannot be determined).

Hence, Only conclusion I is true

Let us check the options

I. X > N = O ≥ S > P → N > P

II. X = N ≥ O ≥ S = P → S ≤ X

III. X > N ≥ O ≥ S = P → S < X, N ≥ P

IV. X > N > O ≥ S ≥ P → N > P

Hence, the correct sequence of symbols to satisfy the given condition is “>, ≥, =”.

**Given

Statement:

** R = N > Q  ? T < V = O ? P ≥ S ≤ U

To make expression P > Q definitely true in the above statement,

I. T must be greater than or equal to Q (T > Q, T = Q, T ≥ Q )

II. P must be greater than or equal to O (P > O, P = O, P ≥ O)

From the options, Q < T, O < P

Hence, the answer is <, <

People: P, Q, R, S, T, U, V, and W.

Statements:

1. Q faces the center and sits third right of P.
2. Only one person sits between Q and S, who is a neighbor of P.

Possibilities are:

3. Three people sit between V and S and V is facing the opposite direction of P.
4. V is sitting second to the right of W.
5. S, W, and V are facing the same direction.
6. R is a neighbor of V and W. R is facing inside.
7. Only one person sits between U and T. Both U and T facing the same direction.
8. T is facing away from the center.

Only one person sits between T and P, who is facing the opposite direction of T. 

According to statement 8 does not follow the possibility 2. So, we continue with possibility 1 only.

The final arrangement will be:

Hence, the answer is W.

People: P, Q, R, S, T, U, V, and W.

Statements:

1. Q faces the center and sits third right of P.
2. Only one person sits between Q and S, who is a neighbor of P.

Possibilities are:

3. Three people sit between V and S, who are facing the opposite direction of P.
4. V is sitting second to the right of W.
5. S, W, and V are facing the same direction.
6. R is a neighbor of V and W. R is facing inside.
7. Only one person sits between U and T. Both U and T facing the same direction.
8. T is facing away from the center.

Only one person sits between T and P, who is facing the opposite direction of T. 

According to statement 8 does not follow the possibility 2. So, we continue with possibility 1 only.

The final arrangement will be:

Hence, the answer is Q.

People: P, Q, R, S, T, U, V, and W.

Statements:

1. Q faces the center and sits third right of P.
2. Only one person sits between Q and S, who is a neighbor of P.

Possibilities are:

3. Three people sit between V and S, who are facing the opposite direction of P.
4. V is sitting second to the right of W.
5. S, W, and V are facing the same direction.
6. R is a neighbor of V and W. R is facing inside.
7. Only one person sits between U and T. Both U and T facing the same direction.
8. T is facing away from the center.

Only one person sits between T and P, who is facing the opposite direction of T. 

According to statement 8 does not follow the possibility 2. So, we continue with possibility 1 only.

The final arrangement will be:

Hence, the answer is immediately left.

People: P, Q, R, S, T, U, V, and W.

Statements:

1. Q faces the center and sits third right of P.
2. Only one person sits between Q and S, who is a neighbor of P.

Possibilities are:

3. Three people sit between V and S, who are facing the opposite direction of P.
4. V is sitting second to the right of W.
5. S, W, and V are facing the same direction.
6. R is a neighbor of V and W. R is facing inside.
7. Only one person sits between U and T. Both U and T facing the same direction.
8. T is facing away from the center.

Only one person sits between T and P, who is facing the opposite direction of T. 

According to statement 8 does not follow the possibility 2. So, we continue with possibility 1 only.

The final arrangement will be:

Hence, the answer is 5.

People: P, Q, R, S, T, U, V, and W.

Statements:

1. Q faces the center and sits third right of P.
2. Only one person sits between Q and S, who is a neighbor of P.

Possibilities are:

3. Three people sit between V and S, who are facing the opposite direction of P.
4. V is sitting second to the right of W.
5. S, W, and V are facing the same direction.
6. R is a neighbor of V and W. R is facing inside.
7. Only one person sits between U and T. Both U and T facing the same direction.
8. T is facing away from the center.

Only one person sits between T and P, who is facing the opposite direction of T. 

According to statement 8 does not follow the possibility 2. So, we continue with possibility 1 only.

The final arrangement will be:

Hence, the answer is T.

The best possible Venn diagram is,

Conclusions:

I. All Yellow being Blue is a possibility: True(as no such restriction is seen in the diagram above, it is possible)

II. Some Pink are Red: False (No direct relation between Red and Pink)

Hence, Only conclusion I follow.

Additional InformationOnly a few A are B means some A are B and some A are not B.

Some B is not A - false

All B being A is a possibility - true

All A being B is a possibility - false

The least possible diagram for the given statements is as follows;

Conclusions:

I. All Lakes can never be River → True (As Only a few Lakes are River so some lakes are river and some lakes are not river, as some lakes are not river all lakes can never be river is true) 

II. Some River can never be Salty → True (As Only a few River are Salty, some river are salty and some river are not salty, so some river can never be salty is true)

Hence, Both conclusions I and II follow.

The least possible diagram for the given statements is as follows;

Conclusions:

I. Some Masks are Belt → True (As All Belts are Masks → Some part of Masks will be Belts. So, it is true)

II. Some Mobile are Covers is a possibility → True (As there is no direct relation between Mobile and Covers but it is possible. So, it is true)

 Both conclusions I and II follow.

Six persons: P, Q, R, A, B, and C

Floors: 1, 2, and 3

Flat: X and Y

(1) P lives on an odd numbered floor in flat X. Therefore, we get two the following two cases here.

 

(2) The one who is from Finland lives immediately above C in the same flat. (3) A lives to the west of C. (4) P and the one who is from Finland do not live on the same floor.

 

(5) B does not live in flat Y. (6) There is one floor between Q and the one who is from Serbia who lives above Q. Since, only flat Y of floor 3 is left for Q in case (I), case (I) eliminates here.

 

(7) Neither A nor Q is from Brazil. (8) C is either from Mexico or from Nepal (implies, P is from Brazil). (9) The one who is from Canada lives on the same floor on which the one who is from Nepal lives (implies, A is from Canada and C is from Nepal). Thus, the final arrangement is as follows:

 

As, we can see that all B, A, and P live in Flat X, whereas R lives in Flat Y.

Hence, R lives in Flat Y.

Six persons: P, Q, R, A, B, and C

Floors: 1, 2, and 3

Flat: X and Y

(1) P lives on an odd numbered floor in flat X. Therefore, we get two the following two cases here.

 

(2) The one who is from Finland lives immediately above C in the same flat. (3) A lives to the west of C. (4) P and the one who is from Finland do not live on the same floor.

 

(5) B does not live in flat Y. (6) There is one floor between Q and the one who is from Serbia who lives above Q. Since, only flat Y of floor 3 is left for Q in case (I), case (I) eliminates here.

 

(7) Neither A nor Q is from Brazil. (8) C is either from Mexico or from Nepal (implies, P is from Brazil). (9) The one who is from Canada lives on the same floor on which the one who is from Nepal lives (implies, A is from Canada and C is from Nepal). Thus, the final arrangement is as follows:

 

As, we can see that R lives in Flat Y.

Hence, R - Flat X is not the correct combination.

Six persons: P, Q, R, A, B, and C

Floors: 1, 2, and 3

Flat: X and Y

(1) P lives on an odd numbered floor in flat X. Therefore, we get two the following two cases here.

 

(2) The one who is from Finland lives immediately above C in the same flat. (3) A lives to the west of C. (4) P and the one who is from Finland do not live on the same floor.

 

(5) B does not live in flat Y. (6) There is one floor between Q and the one who is from Serbia who lives above Q. Since, only flat Y of floor 3 is left for Q in case (I), case (I) eliminates here.

 

(7) Neither A nor Q is from Brazil. (8) C is either from Mexico or from Nepal (implies, P is from Brazil). (9) The one who is from Canada lives on the same floor on which the one who is from Nepal lives (implies, A is from Canada and C is from Nepal). Thus, the final arrangement is as follows:

 

We can see that the one who is from Brazil and the one who is from Mexico live on the bottom most floor.

Hence, both (b) and (d) is the correct answer.

Six persons: P, Q, R, A, B, and C

Floors: 1, 2, and 3

Flat: X and Y

(1) P lives on an odd numbered floor in flat X. Therefore, we get two the following two cases here.

 

(2) The one who is from Finland lives immediately above C in the same flat. (3) A lives to the west of C. (4) P and the one who is from Finland do not live on the same floor.

 

(5) B does not live in flat Y. (6) There is one floor between Q and the one who is from Serbia who lives above Q. Since, only flat Y of floor 3 is left for Q in case (I), case (I) eliminates here.

 

(7) Neither A nor Q is from Brazil. (8) C is either from Mexico or from Nepal (implies, P is from Brazil). (9) The one who is from Canada lives on the same floor on which the one who is from Nepal lives (implies, A is from Canada and C is from Nepal). Thus, the final arrangement is as follows:

 

Hence, the one who is from Finland lives to the east of B.

Six persons: P, Q, R, A, B, and C

Floors: 1, 2, and 3

Flat: X and Y

(1) P lives on an odd numbered floor in flat X. Therefore, we get two the following two cases here.

 

(2) The one who is from Finland lives immediately above C in the same flat. (3) A lives to the west of C. (4) P and the one who is from Finland do not live on the same floor.

 

(5) B does not live in flat Y. (6) There is one floor between Q and the one who is from Serbia who lives above Q. Since, only flat Y of floor 3 is left for Q in case (I), case (I) eliminates here.

 

(7) Neither A nor Q is from Brazil. (8) C is either from Mexico or from Nepal (implies, P is from Brazil). (9) The one who is from Canada lives on the same floor on which the one who is from Nepal lives (implies, A is from Canada and C is from Nepal). Thus, the final arrangement is as follows:

 

We can see that, all B, R, P, and Q live in odd numbered floor and thus forms a group.

Hence, A does not belong to that group.

Given

Statements:

P ≤ Q = R; P ≥ S < U ≤ W

On combining: R = Q ≥ P ≥ S < U ≤ W

Conclusions:

I. R = S → False (as R = Q ≥ P ≥ S → R ≥ S)

II. S > R → False (as R = Q ≥ P ≥ S → R ≥ S)

Hence, Neither I nor II is True.

**Given

Statements:

** B > C ≥ A ≤ U ≤ D; F ≤ G = L; D ≤ F ≤ L

Conclusions:

I. A < G → False (as A ≤ U ≤ D ≤ F ≤ L = G, A ≤ G. So, it is false)

II. G ≤ A → False (as A ≤ U ≤ D ≤ F ≤ L = G, A ≤ G. So, it is false)

Hence, Neither I nor II is true.