Ms X will be in Bagdogra from 01/05/2014 to 20/05/2014 and from 22/05/2014 to 31/05/2014. On the morning of 21/05/2014, she will reach Kochi via Mumbai Which one of the statements below is logically valid and can be inferred from the above sentences?
Ms. X will be in Kochi for only one day in May
Travel Itinerary Analysis for Ms X
The question asks us to identify a logically valid statement that can be inferred from the provided information about Ms X's travel plans in May 2014. We need to carefully examine Ms X's whereabouts on specific dates to draw an accurate conclusion.
Ms X's Travel Schedule Breakdown
Let's break down Ms X's travel schedule based on the given information for the month of May 2014:
- Bagdogra Stay 1: Ms X will be in Bagdogra from 01/05/2014 to 20/05/2014. This means for the first twenty days of May, Ms X's location is Bagdogra.
- Kochi Travel: On the morning of 21/05/2014, Ms X will reach Kochi via Mumbai. This crucial detail indicates that on May 21st, 2014, Ms X is in transit to and subsequently arrives in Kochi. Therefore, she is in Kochi on this particular day.
- Bagdogra Stay 2: Ms X will be in Bagdogra from 22/05/2014 to 31/05/2014. This means that from May 22nd until the end of the month, Ms X returns to and stays in Bagdogra.
Inferring Ms X's Kochi Stay
By compiling Ms X's locations for each part of May 2014, we get a clear picture:
- From May 1st to May 20th: Ms X is in Bagdogra.
- On May 21st: Ms X travels to and is in Kochi.
- From May 22nd to May 31st: Ms X is in Bagdogra.
Based on this timeline, it is clear that May 21st is the only day Ms X spends in Kochi during the entire month of May 2014. Thus, she will be in Kochi for exactly one day in May.
Statement Options Analysis
Now, let's evaluate each of the given statements to see which one is the most accurate and logically valid inference regarding Ms X's travel to Kochi:
-
Statement 1: "Ms. X will be in Kochi for one day, only in May"
The placement of "only in May" here can be slightly ambiguous. While it is true that she is in Kochi for one day and that day is within May, the phrasing could imply that May is the exclusive month she visits Kochi, which might not be the primary emphasis. However, it's close to the correct inference.
-
Statement 2: "Ms. X will be in Kochi for only one day in May"
This statement precisely conveys that the total duration of Ms X's stay in Kochi within the month of May is limited to a single day. This accurately reflects our inference that May 21st is the sole day she is in Kochi during that month. The word "only" modifies "one day," emphasizing the specific duration.
-
Statement 3: "Ms. X will be only in Kochi for one day in May"
The position of "only" here changes the meaning. It suggests that Kochi is the *exclusive* place where Ms X will spend a single day in May, not that her time in Kochi is limited to one day. This alters the emphasis from the duration of stay to the exclusivity of the location for a one-day visit, which is not directly inferred.
-
Statement 4: "Only Ms. X will be in Kochi for one day in May."
This statement implies exclusivity concerning the person – that no one else but Ms X will be in Kochi for one day in May. The provided information solely pertains to Ms X's travel plans and offers no data about other individuals. Therefore, this statement cannot be logically inferred from the given sentences.
Conclusion on Logical Inference
Based on the detailed analysis of Ms X's travel schedule and the specific phrasing of each option, Statement 2 ("Ms. X will be in Kochi for only one day in May") is the most precise and logically valid inference. It accurately reflects that Ms X's presence in Kochi during May is limited to a single day, May 21st.
Important Questions from Instructions
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.
Statement:
I. All film stars are playback singers.
II. All film directors are film stars.
Conclusions:
I. All film directors are playback singers.
II. Some film stars are film directors.
All people in a certain are either ‘Knights’ or ‘Knaves’ and each person knows every other person’s identity. Knights NEVER lie, and knaves ALWAYS lie.
P says “Both of us are knights”, Q says “None of us are knaves”.
Which one of the following can be logically inferred from the above?Fact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?A smart city integrates all modes of transport, uses clean energy and promotes the sustainable use of resources. It also uses technology to ensure the safety and security of the city, something which critics argue, will lead to a surveillance state.
Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.The binary operation □ is defined as a □ b = ab + (a + b), where a and b are any two real numbers. The value of the identity element of this operation, defined as the number x such that a □ x = a, for any a, is_______.
