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All questions of Logic: Deduction and Induction for Computer Science Engineering (CSE) Exam

Statements: Some tables are TVs. Some TVs are radios.
Conclusions:
  1. Some tables are radios.
  2. Some radios are tables.
  3. All radios are TVs.
  4. All TVs are tables.
  • a)
    Only II and IV follow
  • b)
    All follow
  • c)
    Only I and III follow
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Anmol Mehta answered
Statements and Conclusions

Statements and Conclusions is an important topic in reasoning. In this topic, a statement is given and based on that statement, a conclusion is to be drawn. The conclusion may or may not be correct, depending on the statement. The following is a detailed explanation of the given question.

Given Statements:

- Some tables are TVs.
- Some TVs are radios.

Conclusions:

- Some tables are radios.
- Some radios are tables.
- All radios are TVs.
- All TVs are tables.

Explanation:

To solve this question, we need to analyze the given statements and draw appropriate conclusions from them. Let us consider each conclusion one by one.

Conclusion 1: Some tables are radios.

This conclusion may or may not be true. We know that some tables are TVs and some TVs are radios. However, we cannot say for sure that some tables are radios. It is possible that all tables that are TVs are not radios. Hence, this conclusion does not follow.

Conclusion 2: Some radios are tables.

This conclusion may or may not be true. We know that some tables are TVs and some TVs are radios. Hence, it is possible that some radios are tables. However, we cannot say for sure that some radios are tables. Hence, this conclusion does not follow.

Conclusion 3: All radios are TVs.

This conclusion cannot be true. We know that only some TVs are radios. Hence, it is not possible that all radios are TVs. Hence, this conclusion does not follow.

Conclusion 4: All TVs are tables.

This conclusion cannot be true. We know that only some tables are TVs. Hence, it is not possible that all TVs are tables. Hence, this conclusion does not follow.

Hence, none of the given conclusions follow.

Answer: Option D) None of these.
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How is Meera's mother's mother's daughter-in-law's daughter related to Meera?
  • a)
    Niece
  • b)
    Sister
  • c)
    Sister-in-law
  • d)
    Aunt
Correct answer is option 'B'. Can you explain this answer?

Elite Coaching Classes answered
Meera's mother's mother is Meera's grandmother. Her grandmother's daughter-in-law is Meera's mother. The mother's daughter is Meera's sister. Therefore, Meera's mother's mother's daughter-in-law's daughter is Meera's sister.

Statements: All aeroplanes are trains. Some trains are chairs.
Conclusions:
  1. Some aeroplanes are chairs.
  2. Some chairs are aeroplanes.
  3. Some chairs are trains.
  4. Some trains are aeroplanes.
  • a)
    None follows
  • b)
    Only I and II follow
  • c)
    Only II and III follow
  • d)
    Only III and IV follow
  • e)
    All follow
Correct answer is option 'D'. Can you explain this answer?

Alok Verma answered
Explanation:
Since the middle term 'trains' is not distributed even once in the/premises, no definite conclusion follows. However, III is the converse of the second premise while IV is the converse of the first premise. So, both of them hold.

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.
Additional Information:
1. No two persons wearing blue shirts sit on consecutively numbered chairs.
2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.
3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on consecutively numbered chairs.
4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.
5. Persons wearing red shirts are not sitting at extreme ends.
The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".
Q. Which of the following is not a permissible group of four persons such that the number of persons wearing a red, a green and a blue shirt is 2, 1 and 1 respectively?
  • a)
    K, A, N and Z 
  • b)
    N, Q, K and Z
  • c)
    A, P, L and R 
  • d)
    B, L, M and Q
Correct answer is option 'A'. Can you explain this answer?

Pankaj Chakraborty answered
Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:
1. Two b’s must not be together.
2. Three r’s must be together.
3. A ‘b’ and a ‘g’ must not be together.
4. A ‘g’ cannot sit on a chair numbered 2 or 9.
Case I: A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4. Hence, this is also not possible.
Case II: A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.
Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and L are wearing green shirts.
Option (1): A (Blue), P (Red), R (Red) and L (Green): Permissible
Option (2): N (Blue), Q (Red), K (Green) and Z (Red): Permissible
Option (3): K (Green), A (Blue), N (Blue) and Z (Red): Not Permissible
Option (4): B (Blue), L (Green), M (Red) and Q (Red): Permissible.

My ten years old niece is taller than my twelve years old son:
  • a)
    Always
  • b)
    Never
  • c)
    Often
  • d)
    Sometimes
Correct answer is option 'D'. Can you explain this answer?

Asha Saha answered
Understanding Height Growth in Children
Height development in children varies significantly due to several factors. The statement about a ten-year-old niece being taller than a twelve-year-old son can be analyzed under specific circumstances.
Growth Patterns
- Children grow at different rates, and height can fluctuate significantly during growth spurts.
- By age twelve, boys often experience growth spurts, but this can happen at various ages.
Individual Differences
- Genetics plays a crucial role; if the niece has tall parents, she may be taller sooner.
- Nutrition and health can also impact growth. A well-nourished child may grow taller faster.
Age Variability
- At ten years old, girls often grow faster than boys, leading to potential height advantages.
- By twelve, boys might be entering their own growth phase, but this varies individually.
Conclusion: "Sometimes" is Accurate
- Given these factors, it is reasonable to state that a ten-year-old can sometimes be taller than a twelve-year-old.
- This relationship is not fixed and can change as both children grow.
In summary, option 'D' (Sometimes) is the correct answer because height differences between children of different ages can occur given the variability in growth rates, genetics, and health factors.

Statements: Some bottles are drinks. All drinks are cups.
Conclusions:
  1. Some bottles are cups.
  2. Some cups are drinks.
  3. All drinks are bottles.
  4. All cups are drinks.
  • a)
    Only I and II follow
  • b)
    Only II and III follow
  • c)
    Only II and IV follow
  • d)
    Only III and IV follow
  • e)
    Only I and IV follow
Correct answer is option 'A'. Can you explain this answer?

Avi Sengupta answered
Explanation:
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some bottles are cups'. Thus, I follows. II is the converse of the second premise and so it also holds.

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.
Q. Which of the following cannot be the correct seating arrangement of the five persons in either the clockwise direction or the anti-clockwise direction?
  • a)
    P, Q, R, S, T
  • b)
    P, S, R, T, Q
  • c)
    P, Q, S, R, T
  • d)
    P, T, R, S, Q
  • e)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Tanishq Shah answered
P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

We will take each choice and see whether it fits in the arrangement that we represented through a diagram in the analysis of the data (the same diagram is reproduced below).

We can see that the arrangement given in choice (a) is not possible and hence the answer choice is (a).

Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Logical Connectives" under Logical Reasoning and Data Interpretative. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q. Statements: All branches are flowers. All flowers are leaves.
Conclusions:
  1. All branches are leaves.
  2. All leaves are branches.
  3. All flowers are branches.
  4. Some leaves are branches.
  • a)
    None follows
  • b)
    Only I and IV follow
  • c)
    Only II and III follow
  • d)
    All follow
Correct answer is option 'B'. Can you explain this answer?

Saumya Singh answered
Explanation:
Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, it follows that 'All branches are leaves'. Thus, I follows. IV is the converse of this conclusion and so it also holds.

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.
Q. If S sits in between Q and R, who sits to the immediate right of P?
  • a)
    R
  • b)
    S 
  • c)
    Q 
  • d)
    T
Correct answer is option 'D'. Can you explain this answer?

Prateek Datta answered
P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

If S sits between Q and R, then the arrangement is as follows.

As can be seen from the diagram, T is to the immediate right of P. Choice (a)

What is found necessarily in milk?
  • a)
    Cream
  • b)
    Curd
  • c)
    Water
  • d)
    Whiteness
Correct answer is option 'D'. Can you explain this answer?

Ræjû Bhæï answered
Whiteness is a property of milk. Curd and cream are made from milk and water is put to increase the quantity of milk.

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.
Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to R be satisfied, then which of the following statements is true?
  • a)
    U sits to the immediate right of S.
  • b)
    U sits to the immediate left of T.
  • c)
    U sits to the immediate left of P.
  • d)
    Either (A) or (B) above.
  • e)
    Q sits to the immediate right of U.
Correct answer is option 'C'. Can you explain this answer?

Varun Dasgupta answered
P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

On the basis of the diagram that we drew, we find that to accommodate U we have to create a new slot between P and Q.

Hence, choice (c) is the correct answer. Choice (c)

Statements: Some saints are balls. All balls are bats. Some tigers are balls.
Conclusions:
  1. Some bats are tigers.
  2. Some saints are bats.
  3. All bats are balls.
  • a)
    Only I and II follow
  • b)
    Only II follows
  • c)
    Only I and III follow
  • d)
    Only III follows
  • e)
    None of these.
Correct answer is option 'A'. Can you explain this answer?

Tarun Unni answered
Explanation:
Some saints are balls. All balls are bats.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some saints are bats'. Thus, II follows. Some tigers are balls. All balls are bats.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some tigers are bats'. I is the converse of this conclusion and so it holds.

Statements: No rabbit is lion. Some horses are lions. All rabbits are tables.
Conclusions:
  1. Some tables are lions.
  2. Some horses are rabbits.
  3. No lion is table.
  • a)
    None follows
  • b)
    Only either I or III follows
  • c)
    Only II and III follow
  • d)
    Only III follows
  • e)
    None of these.
Correct answer is option 'B'. Can you explain this answer?

Anmol Mehta answered
Explanation:
Some horses are lions. No rabbit is lion.
Since one premise is particular and the other negative, the conclusion must be particular negative (O-type) and should not contain the middle term.
So, it follows that 'Some horses are not rabbits'.
All rabbits are tables. No rabbit is lion.
Since the middle term 'rabbits' is distributed twice, the conclusion must be particular.
Since one premise is negative, the conclusion must be negative. So, it follows that 'Some tables are not lions'. Since I and III involve the same terms and form a complementary pair, so either I or III follows.

Which one of the following is always found in 'Wonder'?
  • a)
    Crowd
  • b)
    Lumber
  • c)
    Astonishment
  • d)
    Rustic
Correct answer is option 'C'. Can you explain this answer?

Arshiya Mehta answered
Option C is correct because "wonder" is defined as a feeling of surprise, admiration, or amazement, so the answer that best describes this feeling is "astonishment".

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.
Q. If S is not sitting next to Q, who is sitting between Q and S?
  • a)
    R 
  • b)
    P
  • c)
    T 
  • d)
    Both (R) and (P)
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Harsh Choudhary answered
P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

If S is not next to Q, then the seating arrangement is fixed as follows.

Now P is between Q and S. Choice (b)

If we are going early in the morning towards the south the sun will be visible at our left:
  • a)
    Always
  • b)
    Never
  • c)
    Often
  • d)
    Sometimes
Correct answer is option 'A'. Can you explain this answer?

Anirudh Unni answered
Early in the morning the sun is in the direction of east. If we are going towards the south, our face will be in the direction of South and our left hand will be in the direction of east.
Hence if we go early in the morning towards the south the sun will always be visible at our left.

A bulb always has
  • a)
    Glass
  • b)
    Current
  • c)
    Filament
  • d)
    Light
Correct answer is option 'C'. Can you explain this answer?

Shivam Basu answered
Without filament there is no use of bulb so filament is a necessary part of a bulb.

Statements: All trees are flowers. No flower is fruit. All branches are fruits.
Conclusions:
  1. Some branches are trees.
  2. No fruit is tree.
  3. No tree is branch.
  • a)
    None follows
  • b)
    Only either I or III follows
  • c)
    Only II follows
  • d)
    Only either I or III, and II follow
  • e)
    None of these.
Correct answer is option 'E'. Can you explain this answer?

Tarun Unni answered
Explanation:
All trees are flowers. No flower is fruit.
Since both the premises are universal and one premise is negative, the conclusion must be universal negative (E-type) and should not contain the middle term. So, it follows that 'No tree is fruit'. II is the converse of this conclusion and so it follows.
All branches are fruits. No flower is fruit.
Since both the premises are universal and one premise is negative, the conclusion must be universal negative (E-type) and should not contain the middle term. So, it follows that 'No branch is flower'.
All trees are flowers. No branch is tree.
As discussed above, it follows that 'No tree is branch'. So, III follows.
Hence, both II and III follow.

Statements: All tigers are jungles. No jungle is bird. Some birds are rains.
Conclusions:
  1. No rain is jungle.
  2. Some rains are jungles.
  3. No bird is tiger.
  • a)
    Only I and II follow
  • b)
    Only III follows
  • c)
    Only either I or II, and III follow
  • d)
    All follow
  • e)
    None of these.
Correct answer is option 'C'. Can you explain this answer?

Anmol Mehta answered
Explanation:
All tigers are jungles. No jungle is bird.
Since both the premises are universal and one premise is negative, the conclusion must be universal negative (E-type) and should not contain the middle term.
So, it follows that 'No tiger is bird'. III is the converse of this conclusion and so it holds.
No jungle is bird. Some birds are rains.
Since one premise is particular and the other negative, the conclusion must be particular negative (O-type) and should not contain the middle term. So, it follows that 'Some jungles are not rains'.
Since I and II also involve the same terms and form a complementary pair, so either I or II follows.

Statements: Some books are pens. No pen is pencil.
Conclusions:
  1. Some pens are books.
  2. Some pencils are books.
  3. Some books are not pencils.
  4. All pencils are books.
  • a)
    Only I follows
  • b)
    Only II and III follow
  • c)
    Only I and III follow
  • d)
    Only I and II follow
Correct answer is option 'C'. Can you explain this answer?

Mainak Mukherjee answered
Explanation:
Since one premise is particular and the other negative, the conclusion must be particular negative and should not contain the middle term. Thus, III follows. I is the converse of the first premise and so it also holds.

Statements: Some pictures are frames. Some frames are idols. All idols are curtains.
Conclusions:
  1. Some curtains are pictures.
  2. Some curtains are frames.
  3. Some idols are frames.
  • a)
    Only I and II follow
  • b)
    Only II and III follow
  • c)
    Only I and III follow
  • d)
    All follow
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Samarth Jain answered
Explanation:
III is the converse of the second premise and so it holds.
Some pictures are frames. Some frames are idols.
Since both the premises are particular, no definite conclusion follows.
Some frames are idols. All idols are curtains.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some frames are curtains'. III is the converse of this conclusion and so it holds.
Some pictures are frames. Some frames are curtains.
Since both the premises are particular, no definite conclusion can be drawn.

These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.
Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to P, S or T be satisfied, then who will be the neighbours of P (one on either side)?
  • a)
    T and Q 
  • b)
    S and Q 
  • c)
    T and R
  • d)
    R and Q 
  • e)
    S and T
Correct answer is option 'E'. Can you explain this answer?

Deepika Banerjee answered
P sits two seats to the left of R, and Q sits two seats to the right of R. We can represent this information in the diagram below.

We create a new slot for the sixth person. But since U will not sit next to P, S or T, he will have to sit between R and Q. The arrangement will then look as follows:

As we can see from the diagram, the neighbours of P will be T and S.

Statements: Some towels are brushes. No brush is soap. All soaps are rats.
Conclusions:
  1. Some rats are brushes.
  2. No rat is brush.
  3. Some towels are soaps.
  • a)
    None follows
  • b)
    Only either I or II follows
  • c)
    Only II follows
  • d)
    Only I and III follow
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Arindam Gupta answered
Explanation:
Some towels are brushes. No brush is soap.
Since one premise is particular and the other negative, the conclusion must be particular negative (O-type) and should not contain the middle term. So, it follows that 'Some towels are not soaps'. No brush is soap. All soaps are rats.
Since the middle term is distributed twice, the conclusion must be particular. Since one premise is negative, the conclusion must be negative. So, it follows that 'Some brushes are not rats'. Since I and II involve the same terms and form a complementary pair, so either I or II follows.

Statements: Some clothes are marbles. Some marbles are bags.
Conclusions:
  1. No cloth is a bag.
  2. All marbles are bags.
  3. Some bags are clothes.
  4. No marble is a cloth.
  • a)
    Only either I or IV follows
  • b)
    Only either I or II follows
  • c)
    None follows
  • d)
    Only either I or III follows
Correct answer is option 'D'. Can you explain this answer?

Krithika Bose answered
Explanation:

Given Statements:
- Some clothes are marbles.
- Some marbles are bags.

Conclusions:
- No cloth is a bag.
- All marbles are bags.
- Some bags are clothes.
- No marble is a cloth.

Analysis:
- From the given statements, we can see that there is an overlap between clothes, marbles, and bags.
- We cannot definitively conclude that no cloth is a bag because there is an intersection between clothes and bags through marbles.
- Similarly, we cannot conclude that all marbles are bags because only some marbles are bags according to the statements.
- The statement "Some bags are clothes" cannot be directly inferred from the given information.
- The conclusion "No marble is a cloth" can be drawn as marbles and clothes have a separate existence based on the statements.

Conclusion:
- Therefore, only the conclusion "No marble is a cloth (I)" follows based on the given statements.

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.
Additional Information:
1. No two persons wearing blue shirts sit on consecutively numbered chairs.
2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.
3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on consecutively numbered chairs.
4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.
5. Persons wearing red shirts are not sitting at extreme ends.
The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".
Q. Which of the following persons is wearing a green shirt?
  • a)
    A
  • b)
    K
  • c)
    R 
  • d)
    P
Correct answer is option 'B'. Can you explain this answer?

Tanishq Sengupta answered
Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:
1. Two b’s must not be together.
2. Three r’s must be together.
3. A ‘b’ and a ‘g’ must not be together.
4. A ‘g’ cannot sit on a chair numbered 2 or 9.
Case I: A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4. Hence, this is also not possible.
Case II: A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.
Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and L are wearing green shirts. K and L are wearing green shirts. Hence, K is the answer.

Statements:
All fruits are vegetables. All pens are vegetables. All vegetables are rains.
Conclusions:
  1. All fruits are rains.
  2. All pens are rains.
  3. Some rains are vegetables.
  • a)
    None follows
  • b)
    Only I and II follow
  • c)
    Only II and III follow
  • d)
    Only I and III follow
  • e)
    All follow
Correct answer is option 'E'. Can you explain this answer?

Tarun Unni answered
III is the converse of the third premise and so it holds.
All fruits are vegetables. All vegetables are rains.
The conclusion must be universal affirmative and should not contain the middle term.
So, it follows that 'All fruits are rains'. Thus, I follows.
All pens are vegetables. All vegetables are rains.
Clearly, it follows that 'All pens are rains'. Thus, II follows.

Statements: Some bags are pockets. No pocket is a pouch.
Conclusions:
  1. No bag is a pouch.
  2. Some bags are not pouches.
  3. Some pockets are bags.
  4. No pocket is a bag.
  • a)
    None follows
  • b)
    Only I and III follow
  • c)
    Only II and III follow
  • d)
    Only either I or IV follows
  • e)
    All follow
Correct answer is option 'C'. Can you explain this answer?

Pranjal Unni answered
Explanation:
Since one premise is particular and the other negative, the conclusion must be particular negative and should not contain the middle term. So, II follows. III is the converse of the first premise and thus it also holds.

Statements: Some houses are offices. Some offices are schools.
Conclusions:
  1. Some schools are houses.
  2. Some offices are houses.
  3. No house is school.
  4. Some schools are offices.
  • a)
    Only II and III follow
  • b)
    Only I and IV follow
  • c)
    Only either III or IV, and I follow
  • d)
    Only II and IV and either I or III follow.
  • e)
    Only I and IV follow
Correct answer is option 'D'. Can you explain this answer?

Tarun Unni answered

Understanding the Statements:
- Some houses are offices.
- Some offices are schools.

Explaining the Conclusions:
- Some schools are houses: This conclusion can be drawn from the given statements as it is possible for some houses to be schools indirectly through the link of offices.
- Some offices are houses: This conclusion can also be drawn based on the given statements as there is an overlap between houses and offices.
- No house is school: This conclusion cannot be concluded as there is a possibility of some houses being schools indirectly through the link of offices.
- Some schools are offices: This conclusion can be drawn from the given statements as there is a connection between offices and schools.

Final Analysis:
- Conclusion I and IV are valid based on the given statements.
- Conclusion II is valid as some offices can also be houses.
- Conclusion III is not valid as there is a possibility of some houses being schools indirectly through the link of offices.
- Therefore, the correct answer is option 'D' where conclusions II, IV, and either I or III follow.

Statements: Some uniforms are covers. All covers are papers. All papers are bags.
Conclusions:
  1. All covers are bags.
  2. Some bags are covers, papers and uniforms.
  3. Some uniforms are not papers.
  • a)
    Only I follows
  • b)
    Only I and II follow
  • c)
    Only III follows
  • d)
    All I, II and III follow
  • e)
    None of these.
Correct answer is option 'B'. Can you explain this answer?

Akash Majumdar answered
Explanation:
Some uniforms are covers. All covers are papers.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some uniforms are papers'. All covers are papers. All papers are bags.
Since both the premises are universal and affirmative, the conclusion must be universal affirmative (A-type) and should not contain the middle term. So, it follows that 'All covers are bags'. Thus, I follows. The converse of this conclusion i.e. 'Some bags are covers' also holds.
Some uniforms are covers. All covers are bags.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some uniforms are bags', The converse of this conclusion i.e. 'Some bags are uniforms' also holds.
Further, the converse of the third premise i.e. 'Some bags are papers' holds.
Now, II is the cumulative result of the conclusions 'Some bags are covers', 'Some bags are papers' and 'Some bags are uniforms'. Thus, II follows.

Statements: Some hills are rivers. Some rivers are deserts. All deserts are roads.
Conclusions:
 
  1. Some roads are rivers.
  2. Some roads are hills.
  3. Some deserts are hills.
  • a)
    None follows
  • b)
    Only I follows
  • c)
    Only I and II follow
  • d)
    Only II and III follow
  • e)
    All follow
Correct answer is option 'B'. Can you explain this answer?

Jatin Yadav answered
Explanation:
Some hills are rivers. Some rivers are deserts.
Since both the premises are particular, no definite conclusion follows.
Some rivers are deserts. All deserts are roads.
Since one premise is particular, the conclusion must be particular and shouldn't contain the middle term. So, it follows that 'Some rivers are roads'. I is the converse of this conclusion and so it holds.
Some hills are rivers. Some rivers are roads.
Again, since both the premises are particular, no definite conclusion follows.

Looking at a drawing of a Gentleman, Pinku said, "His mother is the wife of my father's son. Brothers and sisters, I have none." At whose drawing was Pinku looking?
  • a)
    Father
  • b)
    Son
  • c)
    Son-in-law
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Elite Coaching Classes answered
Since Pinku has no brother or sister, he is his father's only son. Now, the wife of my father's son is "my wife." So, Pinku's wife is the Gentleman's mother, meaning the man is Pinku's son.

Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.
Additional Information:
1. No two persons wearing blue shirts sit on consecutively numbered chairs.
2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.
3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on consecutively numbered chairs.
4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.
5. Persons wearing red shirts are not sitting at extreme ends.
The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".
Q. Which of the arrangements done by Mr. Crazy is not consistent with the information stated under "Additional Information"?
  • a)
    VI
  • b)
    I 
  • c)
    III 
  • d)
    V
Correct answer is option 'B'. Can you explain this answer?

Shivam Menon answered
Let the people who wear a blue, red and green shirt be denoted by b, r and g respectively. Restrictions on the seating arrangement:
1. Two b’s must not be together.
2. Three r’s must be together.
3. A ‘b’ and a ‘g’ must not be together.
4. A ‘g’ cannot sit on a chair numbered 2 or 9.
Case I: A person wearing a green shirt is sitting on chair numbered 1. It is only possible if another person wearing a green shirt sits on chair numbered 2, but this violates restriction number 4. Hence, this is also not possible.
Case II: A person wearing a blue shirt sits on chair numbered 1. The six seating arrangements that are possible are as follows.

Now, we see that the cases 4, 5 and 6 are just obtained by reversing the cases 1, 2 and 3 respectively. It can be concluded that in any possible seating arrangement, the chairs numbered 1 and 10 are always occupied by people wearing blue shirts. It is given that the number of people wearing a blue shirt is 3. Looking at the table given in the question, we observe that in each of the six arrangements two out of the three different people i.e. A, B and N always sit on chairs numbered 1 and 10.
Hence it can be concluded that the people who wear a blue shirt are A, B and N From the given table the person wearing a blue shirt can never sit on chairs numbered 2, 4, 7 and 9. So, (in arrangement I), A, B and N sitting on chairs numbered 1, 7 and 10 is inconsistent. Also, the people wearing red shirts sit on chairs numbered 2 and 9 and in all the possible arrangements five different people namely P, Q, M, Z and R are sitting on chairs numbered either 2 or 9. Therefore, P, Q, M, Z and R are wearing red shirts and K and L are wearing green shirts. (a) I arrangement is not consistent.

Eight persons P, Q, R, S, T, U, V and W are sitting around a circular table facing the center (not necessarily in the same order). Two persons sit between Q and W. V sits immediate left of W. Three persons sit between S and T. R sits immediate left of T. U is not the neighbor of P. One person sits between P and Q.
Which of the following statement is correct?
  • a)
     Q sits to the immediate right of U.
  • b)
    One person sits between P and R.
  • c)
     Three persons sit between Q and R.
  • d)
    One person sits between S and U.
Correct answer is option 'D'. Can you explain this answer?

Glance Learning Institute answered
Eight persons: P, Q, R, S, T, U, V and W.
1) Three persons sit between S and T.
2) R sits immediate left of T.
3) One person sits between P and Q.
4) Two persons sit between Q and W.
5) V sits immediate left of W.
6) U is not the neighbor of P.
Checking o[tions one by one;
1) Q sits to the immediate right of U → False
2) One person sits between P and R → False
3) Three persons sit between Q and R → False
4) One person sits between S and U → True
Hence, option D is the correct answer.

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