Question
Download Solution PDFRead the following question and decide which of the given statements is/are sufficient.
Question:
Is Y > 0?
Statements:
1. X + Y > 0
2. X - Y > 0
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is indeed option 3) Neither 1 nor 2 is sufficient to answer the question. Here's the explanation:
Statement 1: X + Y > 0
This statement only tells us that the sum of X and Y is greater than 0. However, it doesn't give us any information about the value of Y alone, so we can't determine whether Y is greater than 0. For example, if X = -5 and Y = 6, then X + Y = 1, which is greater than 0, but Y alone is greater than 0.
Statement 2: X - Y > 0
This statement tells us that the difference between X and Y is greater than 0. However, it still doesn't give us any information about the value of Y alone. For example, if X = 10 and Y = 5, then X - Y = 5, which is greater than 0, but Y alone is greater than 0.
Combining both statements, we have:
X + Y > 0 and X - Y > 0
Adding these inequalities, we get:
2X > 0
Therefore, X > 0.
However, we still cannot determine whether Y is greater than 0 or not, since we don't have enough information about the value of Y.
Hence, neither statement alone nor both together are sufficient to answer the question "Is Y > 0?".
The correct answer is option 3) Neither 1 nor 2 is sufficient to answer the question.
Last updated on Jun 2, 2025
-> The RRB NTPC Admit Card 2025 has been released on 1st June 2025 on the official website.
-> Railway Recruitment Board activated the RRB ALP application form 2025 correction link, candidates can make the correction in the application form till 31st May 2025.
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The official RRB ALP Recruitment 2025 provides an overview of the vacancy, exam date, selection process, eligibility criteria and many more.
->The candidates must have passed 10th with ITI or Diploma to be eligible for this post.
->The RRB Assistant Loco Pilot selection process comprises CBT I, CBT II, Computer Based Aptitude Test (CBAT), Document Verification, and Medical Examination.
-> This year, lakhs of aspiring candidates will take part in the recruitment process for this opportunity in Indian Railways.
-> Serious aspirants should prepare for the exam with RRB ALP Previous Year Papers.
-> Attempt RRB ALP GK & Reasoning Free Mock Tests and RRB ALP Current Affairs Free Mock Tests here