Home
Class 10
MATHS
Statements: 1. Some boys are men. 2. So...

Statements: 1. Some boys are men.
2. Some students are boys.
Conclusions: 1. All men are students.
2. Some students are men.

A

only conclusion I follows,

B

only conclusion 2 follows,

C

either conclusion 1 or 2 follows,

D

neither conclusions 1 nor 2 follows

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the statements and conclusions step by step using logical reasoning and Venn diagrams. ### Step 1: Analyze the Statements 1. **Statement 1**: Some boys are men. - This means there is an overlap between the group of boys and the group of men. We can represent this with a Venn diagram where a portion of the boys' circle overlaps with the men's circle. 2. **Statement 2**: Some students are boys. - This indicates that there is an overlap between the group of students and the group of boys. Again, we can represent this with a Venn diagram where a portion of the students' circle overlaps with the boys' circle. ### Step 2: Draw the Venn Diagram - Draw three circles: one for boys, one for men, and one for students. - Shade the area where boys and men overlap to represent "some boys are men." - Shade the area where students and boys overlap to represent "some students are boys." ### Step 3: Analyze the Conclusions 1. **Conclusion 1**: All men are students. - This conclusion suggests that the entire circle of men is contained within the circle of students. However, from the Venn diagram, we can see that while some boys are men, we have no information that indicates all men are students. Therefore, this conclusion is **false**. 2. **Conclusion 2**: Some students are men. - This conclusion suggests that there is an overlap between the students and men circles. However, from the statements, we only know that some boys are men and some students are boys. There is no direct relationship established between students and men. Thus, we cannot definitively say that some students are men. Therefore, this conclusion is also **false**. ### Step 4: Final Conclusion Since both conclusions are false based on the analysis of the statements and the Venn diagram, the correct answer is that neither conclusion follows from the statements. ### Answer: **Neither conclusion 1 nor conclusion 2 follows.** ---
To solve the problem, we will analyze the statements and conclusions step by step using logical reasoning and Venn diagrams. ### Step 1: Analyze the Statements 1. **Statement 1**: Some boys are men. - This means there is an overlap between the group of boys and the group of men. We can represent this with a Venn diagram where a portion of the boys' circle overlaps with the men's circle. 2. **Statement 2**: Some students are boys. - This indicates that there is an overlap between the group of students and the group of boys. Again, we can represent this with a Venn diagram where a portion of the students' circle overlaps with the boys' circle. ...
Promotional Banner

Topper's Solved these Questions

  • LOGICAL REASONING

    MCGROW HILL PUBLICATION|Exercise EXERCISE|15 Videos

  • INSERTING A MISSING CHARACTER

    MCGROW HILL PUBLICATION|Exercise EXERCISE|30 Videos

  • LOGICAL SEQUENCE OF WORDS

    MCGROW HILL PUBLICATION|Exercise Exercise|25 Videos

Similar Questions

Explore conceptually related problems

In the following questions between are given some statements followed by some conclusions .Taking the given statements to be true even if they seem to be at variance from commonly known facts ,read all the conclusions and then decide which of the given conclusion logically follows the statements. Statements : 1. All stones are men . 2. All men are tigers . Conclusions : I . All men are stones . II . Some tigers are stones.

Statements: 1. Some boys are thieves. 2. All thieves are dacoits, Conclusions: 1. Some boys are dacoits. 2. All dacoits are boys

In the following questions, two statements are given followed by two conclusions/assumptions, I and II. You have to consider the statement to be true, even if t seems to be at variance from commonly known facts. You are to decide which of the given conclusions/assumption can definitely be drawn from the given statements. Indicate your answer. Statements : I. Some men are good. II. Some men are wise. Conclusions : I. Some wise men are good. II. Some good men are wise.

Statements: 1. All men are boys 2. All boys are students Conclusions: 1. Some students are men 2. Some boys are men

Statements:- All teachers are students. No student is girl. Conclusions :- I. All girls are students. II. Some girls are student.