Statement:
Only students who work hard get good grades.
Conclusions:
I. Hard work is necessary for success.
II. Success is not important for those who do not work hard.
Statement: Only students who work hard get good grades.
The structure "Only A are B" means that if something is B, then it must be A. Applying this to the statement: If a student gets good grades (B), then they must have worked hard (A). This establishes a necessary condition.
In logical notation, this can be represented as: Good Grades $\rightarrow$ Hard Work.
Conclusion I: Hard work is necessary for success.
Assuming "success" is equivalent to getting "good grades" in this context, the conclusion states that hard work is necessary for good grades. The statement's logical form (Good Grades $\rightarrow$ Hard Work) directly supports this. If good grades are achieved, hard work must have been present. Thus, hard work is a necessary prerequisite.
Result: Conclusion I logically follows.
Conclusion II: Success is not important for those who do not work hard.
The statement implies that if someone does not work hard ($\neg$Hard Work), they will not get good grades ($\neg$Good Grades). However, the statement provides no information about the *importance* of success (grades) for individuals who do not work hard. Importance is a value judgment, not a logical consequence derivable from the given premise.
Result: Conclusion II does not logically follow.
Only Conclusion I is a valid logical deduction from the given statement.
Explanation for Choice: The statement establishes hard work as a necessary condition for good grades. Conclusion I correctly identifies this necessity. Conclusion II makes an assertion about the importance of success, which cannot be logically inferred from the statement.
Option Selected: 1. Only conclusion I follows.
two Statements are given followed by two Conclusions:
Statements: All numbers are divisible by 2. All numbers are divisible by 3.
Conclusion-I All numbers are divisible by 6.
Conclusion-Il All numbers are divisible by 4.
Which of the above Conclusions logically follows/follow from the two given Statements?
Two Statements are given followed by two Conclusions:
Statements: All cats are dogs. All cats are black.
Conclusion-I: All dogs are black.
Conclusion-II: Some dogs are not black.
Which of the above Conclusions logically follows/follow from the two given Statements disregarding commonly known facts?
Directions for the following 2 (two) items: Read the following statements SI and S2 and answer the two items that follow:
S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan.
S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.
Which one of the following statements is correct?
Read the following statements SI and S2 and answer the two items that follow: S1: Twice the weight of Sohan is less than the weight of Mohan or that of Rohan. S2: Twice the weight of Rohan is greater than the weight of Mohan or that of Sohan.
Which one of the following statements is correct?
Directions for the following 7 (seven) items: Read the following five passages and answer the items that follow each passage. Your answers to these items should be based on the passages only.
Passage - 1 India's economic footprint, given its population, still remains small compared to the US, the European Union or China. It has much to learn from other economies, yet must implement solutions that fit its unique circumstances. India especially needs an effective long-term regulatory system based on collaboration rather than the ' current top-down approach. Regulations seek desirable outcomes yet are repeatedly used as political tools to push one agenda or another. Often, regulations fail to consider impacts on jobs and economic growth — or less restrictive alternatives. Regulations may be used to protect local markets at the expense of more widely shared prosperity in the future. Additionally, regulations inevitably result in numerous unintended consequences. In today's hyper competitive global economy, regulations need to be viewed as "weapons" that seek cost-justified social and environmental benefits while improving the economic well-being of most citizens.
Which one of the following is the most logical, rational and crucial inference that can be derived from the above passage ?