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Two statements are given followed by two...

Two statements are given followed by two/four conclusions I, II, III and IV. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements:
दो वक्तव्यों के आगे दो/चार निष्कर्ष I, II, III और IV दिए गए हैं। आप सामान्य ज्ञात तथ्यों में अन्तर होने पर भी दोनों वक्तव्यों की पड़ताल, सत्य समझकर करें। आप तय करें कि दिए गए निष्कर्षों में से कौन-सा, यदि कोई हो, दिए गए वक्तव्यों से निकलता है:
Statements / वक्तव्य :
1. Some keys are locks, some locks are numbers.
कुछ चाबियाँ तालें हैं, कुछ ताले संख्याएँ हैं।
2. All numbers are letters, all letters are words.
सभी संख्याएँ अक्षर हैं, सभी अक्षर शब्द हैं।
Conclusions / निष्कर्ष :
I. Some words are numbers. / कुछ शब्द संख्याएँ हैं।
II. Some locks are letters. / कुछ ताले अक्षर हैं।

A

A. Conclusion I follows / निष्कर्ष I निकलता है।

B

B. Conclusion II follows / निष्कर्ष II निकलता है।

C

C. Conclusion I and II follows/निष्कर्ष I और II निकलता है।

D

D. None of the conclusion follows / कोई भी निष्कर्ष नहीं निकलता।

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we will analyze the given statements and conclusions step by step. ### Step 1: Analyze the Statements 1. **Statement 1**: Some keys are locks, and some locks are numbers. - This indicates that there is an intersection between the set of keys and locks, and also between the set of locks and numbers. 2. **Statement 2**: All numbers are letters, and all letters are words. - This means that the entire set of numbers falls under the set of letters, and the entire set of letters falls under the set of words. ### Step 2: Visualize with Venn Diagrams - Draw a Venn diagram with four circles: - Circle A for Keys - Circle B for Locks - Circle C for Numbers - Circle D for Letters - Circle E for Words - From Statement 1: - Some part of Circle A (Keys) overlaps with Circle B (Locks). - Some part of Circle B (Locks) overlaps with Circle C (Numbers). - From Statement 2: - Circle C (Numbers) is completely inside Circle D (Letters). - Circle D (Letters) is completely inside Circle E (Words). ### Step 3: Analyze the Conclusions 1. **Conclusion I**: Some words are numbers. - Since all numbers are letters (Circle C is inside Circle D), and all letters are words (Circle D is inside Circle E), it follows that some words must indeed be numbers. Therefore, Conclusion I is true. 2. **Conclusion II**: Some locks are letters. - From the Venn diagram, we see that some locks (Circle B) overlap with numbers (Circle C), and since all numbers are letters (Circle C is inside Circle D), it follows that some locks must also be letters. Therefore, Conclusion II is also true. ### Final Decision Since both conclusions I and II are true based on the statements provided, we conclude that both conclusions follow from the statements. ### Answer Both conclusions I and II follow from the statements.

To solve the problem, we will analyze the given statements and conclusions step by step. ### Step 1: Analyze the Statements 1. **Statement 1**: Some keys are locks, and some locks are numbers. - This indicates that there is an intersection between the set of keys and locks, and also between the set of locks and numbers. 2. **Statement 2**: All numbers are letters, and all letters are words. - This means that the entire set of numbers falls under the set of letters, and the entire set of letters falls under the set of words. ...
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