All questions of Logic: Deduction and Induction for Electrical Engineering (EE) Exam

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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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.

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

As there is no such tradition hence this will happen sometimes.

Understanding the Relationships
To decode the expression M & N @ P # Q $ R % S, let's break it down step by step:
Step 1: Identify Relationships
- M & N: M is the husband of N.
- N @ P: N is the daughter of P.
- P # Q: P is the wife of Q.
- Q $ R: Q is the son of R.
- R % S: R is the brother of S.
Step 2: Constructing the Family Tree
From the relationships established:
1. M is married to N.
2. N is the daughter of P, making P the father-in-law of M.
3. P (father-in-law) is married to Q (mother-in-law).
4. Q and P have a son, R.
5. R is the brother of S.
Step 3: Analyzing M's Relation to S
- Since R (the son of P and Q) is the brother of S, this means that S is also a child of P and Q.
- Since M is married to N (daughter of P and Q), he is the uncle of R and S.
Conclusion
Thus, M is the uncle of S.
The correct answer is option 'B' (Uncle), as M's relationship to S is that of an uncle through marriage to N, the sister of R and S.

K is the brother of D, who is the daughter of C. So, K and D are the children of C. B is the brother of C, making K and D cousins of B.

Understanding the Relationships
To determine how M is related to T, we will decode the expression step by step using the given symbols.
Expression Breakdown
- M % N: M is the father of N.
- N @ P: N is the sister of P.
- P * Q: P is the son of Q.
- Q $ R: Q is the mother of R.
- R & S: R is the daughter of S.
- S # T: S is the brother of T.
- $ N: This means we need to consider the relationship of N with the previous nodes as well.
Constructing the Family Tree
1. M is the father of N.
2. N has a sister P.
3. P is the son of Q, which indicates that Q is the mother of both P and N.
4. R is the daughter of Q (and thus the sister of N and P).
5. S is the brother of R, making S also a sibling to N and P.
6. T is the brother of S.
Final Relationships
- M is the father of N.
- N is the sibling of R (and P).
- R is the daughter of Q, making M the grandfather of T since S is the brother of R and T.
Conclusion
Given that M is the father of N, and S (who is the brother of R and T) is a sibling of N, it follows that M is a father figure in relation to T. Therefore, the answer is:
Correct Answer: b) Husband

The man's son's sister is the man's daughter. The man's daughter is the mother of the Lady's husband, meaning the Lady's husband is the grandson of the man.

Understanding Relationships
To decode the expression P + Q ÷ R = S - T × U ≠ V, we need to break it down step-by-step using the given relationships.
Step 1: Break Down the Expression
- P + Q: P is the father of Q.
- Q ÷ R: Q is the sister of R. Therefore, R is the child of P (since Q's sibling).
This gives us:
- P is the father of Q and R.
Step 2: Analyze the Right Side of the Equation
- S - T: S is the mother of T.
- T × U: T is the brother of U. Thus, U is also a child of S.
This implies:
- S is the mother of T and U.
Combining Relationships
Now we have:
- P (father) and S (mother) are parents of Q and R.
- T and U are siblings, with S as their mother.
Step 3: Conclude the Relationship with V
- S - T × U ≠ V: Since V is not directly related to S, and stands in comparison, we need to analyze the connection.
Given that:
- P and S are parents, and T and U are siblings (children of S), V must relate to P as a descendant.
Since V is not a direct child but is involved in this generational relationship, V is likely to be a grandchild of P.
Final Conclusion
- Therefore, P is the great-grandfather of V, making the correct answer option 'C' - Great-grandfather.

Understanding the Relationships
To solve the problem, we will decode the relationships step by step based on the given symbols:
Step 1: Analyze the Expressions
- P @ Q: P is the husband of Q.
- Q * R: Q is the mother of R.
- R $ S: R is the father of S.
- S & T: S is the son of T.
- T # U: T is the mother of U.
- U % V: U is the wife of V.
Step 2: Build the Family Tree
1. P is married to Q.
2. Q is the mother of R (thus, R is their child).
3. R is the father of S (making S the grandchild of P and Q).
4. S is the son of T (T's gender is not specified yet).
5. T is the mother of U (making U another child of T and S).
6. U is the wife of V.
Step 3: Determine P's Relationship to V
- P is the grandfather of S (since S is the child of R).
- Since S is the son of T, and T is married to V, P is the father-in-law of V.
Conclusion
Thus, P is related to V as the father-in-law. The correct answer is:
a) Father-in-law.

The wife of Deepika's husband is Deepika herself. The daughter of Deepika is the man's sister, making the man Deepika's son.

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.

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.

Understanding the Relationships
To determine how N is related to Q, let's break down the relationships provided in the question.
Key Relationships
- M is the father of O.
- P is the son of N.
- Q is the brother of M.
- O is the sister of P.
Analyzing the Relationships
1. M and O's Relationship:
- M is the father of O. Thus, O is M's child.
2. P and N's Relationship:
- P is the son of N. This means N is P's parent.
3. O and P's Relationship:
- O is the sister of P. Therefore, both O and P share the same parents.
4. Q and M's Relationship:
- Q is the brother of M. This makes Q O's uncle (since Q is M's brother).
Connecting N to Q
Since O is the sister of P, and P is the son of N, we can infer the following:
- O (daughter of M) is the sibling of P (son of N).
- This implies that N is the mother of P, and hence, N is also the mother of O (since O is P's sister).
Since Q is M's brother, and M is the father of O, N (being the mother of O) is related to Q as Q's sister-in-law.
Conclusion
Thus, N is related to Q as his sister-in-law. Therefore, the correct answer is:
- a) Sister-in-law.

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.

Your mother's husband is your father, and your father's sister is your aunt. So, the Woman's aunt is also the Boy's aunt, meaning the Woman is the Boy's sister.