6
Is Ritesh eligible to retire from Office X in January 2006 with full pension benefits? Statement I: Ritesh will complete 30 years of service in Office X in April 2000 and expresses a desire to retire. Statement II: As per Office X rules, an employee must complete a minimum of 30 years of service and attain the age of 60. Ritesh has three years left to reach the age of 60.
0:00
Solution: Step 1: Identify the question: Can Ritesh retire in January 2006 with full pension benefits?
Step 2: Analyze Statement I. Ritesh completes 30 years of service in April 2000. By January 2006, he would have served for 30 + (2006 - 2000) = 36+ years, satisfying the service requirement. This statement, however, provides no information about his age. Statement I alone is not sufficient.
Step 3: Analyze Statement II. Office X rules require a minimum of 30 years of service AND attainment of 60 years of age. Ritesh has 3 years to complete the age of 60. Assuming this statement is in reference to the time of the question (or January 2006), Ritesh would be 57 years old in January 2006. He would turn 60 in 3 years (i.e., in 2009). This statement provides age information but no direct information about service years in context of Jan 2006. Statement II alone is not sufficient.
Step 4: Combine Statement I and II. From Statement I, Ritesh meets the 30 years service criteria by January 2006. From Statement II, Ritesh will be 57 years old in January 2006 and will not reach 60 years until 2009. Therefore, in January 2006, Ritesh meets the service requirement but not the age requirement.
Step 5: Thus, Ritesh cannot retire in January 2006 with full pension benefits. Both statements together are necessary and sufficient to answer the question (with a 'No').
8
Initially, 'A' used three sheets of paper with two carbon sheets to produce two duplicate copies of an original document. Subsequently, 'A' aimed for more copies, folding the paper so the upper half of the sheets lay over the lower half, and then typed. How many carbon copies were produced in this second attempt?
0:00
Solution: Step 1: Understand the mechanism of carbon copying. Each carbon sheet, placed between two regular sheets of paper, can transfer an impression from the upper sheet to the lower sheet, creating one copy.
Step 2: In the initial setup, 'A' had three sheets of paper and two carbon sheets. This arrangement would be (Original) -> Carbon 1 -> Sheet 2 (Copy 1) -> Carbon 2 -> Sheet 3 (Copy 2). This correctly yields two copies.
Step 3: In the second attempt, 'A' uses the *same* number of carbon sheets (two), but folds the paper. The act of folding the paper might create more layers of paper, but it does not increase the number of actual carbon sheets available to create impressions.
Step 4: Regardless of how the paper is folded or layered, the number of copies that can be generated is limited by the number of carbon sheets used. Since there are still only two carbon sheets, only two carbon copies can be produced.
Step 5: The folding affects *where* the impressions appear on the paper, potentially creating multiple impressions on a single sheet or partial copies, but not the total count of distinct 'carbon copies' as full duplicates of the original typed content.
Step 6: Therefore, 'A' got 2 carbon copies.
18
Determine the relationship between these two statements: (I) Modern life is excessively fast-paced and demanding, full of variety in all aspects, which often leads to stressful situations. (II) The number of suicide cases among teenagers is increasing.
0:00
Solution: Step 1: Analyze Statement I: Modern life is characterized by speed, demands, and variety, leading to stress. This is a general observation about societal conditions.
Step 2: Analyze Statement II: There is an increasing trend of suicide cases among teenagers. This is a specific social trend or outcome.
Step 3: Evaluate for direct cause-effect: While the stressful environment described in Statement I could contribute to the issue in Statement II, it is more accurate to view both as consequences of deeper, interconnected societal pressures rather than one directly causing the other in a simple linear fashion.
Step 4: Consider a common cause: The stressors of modern life (as described in Statement I) and the rise in teenage suicides (Statement II) can both be seen as effects of underlying societal factors such as increased academic pressure, social media influence, family dynamics, economic uncertainty, or a general decline in mental health support systems. These broader issues contribute to both the overall stressful environment and the specific tragic outcome.
Step 5: Conclude that both statements are effects of some common, complex societal causes.