📚 Part of: Bangladesh Liberation War Mcqs: Historical Events & Military Affairs

Tejas wants to travel to Shimla. He has to stop at Delhi at about 6 pm. Then, he travels to Shimla and reaches at 3 am the next day. What is the amount of time that it took to go to Shimla from Delhi? What type of number is it?

Category: Miscellaneous Indian Gk

Correct Answer: B) 9 hours; Natural, Whole, Integer, Rational, Real.

Exam Relevance: UPSC, SSC, Bank PO, CLAT, MAT

Difficulty: Easy

Concept notes:

To solve this problem, we need to calculate the time taken to travel from Delhi to Shimla and classify the number of hours as a type of number. The time taken is calculated by subtracting the departure time from the arrival time. The number classification involves identifying if the number is natural, whole, integer, rational, or real.

Common Mistakes:
  • Misunderstanding the time difference between departure and arrival.
  • Confusing the classification of numbers, such as mistaking a natural number for a whole number.
  • Incorrectly calculating the time difference due to not accounting for the change in day.
Explanation:

To determine the time taken to travel from Delhi to Shimla, we need to calculate the difference between the departure time and the arrival time. Tejas departs from Delhi at 6 pm and arrives in Shimla at 3 am the next day. To find the duration of the journey, we need to consider the time span across two days.

First, we calculate the time from 6 pm to midnight (12 am):

- From 6 pm to 12 am is 6 hours.

Next, we calculate the time from midnight (12 am) to 3 am:

- From 12 am to 3 am is 3 hours.

Adding these two durations together gives us the total travel time:

- 6 hours (from 6 pm to 12 am) + 3 hours (from 12 am to 3 am) = 9 hours.

Thus, the total time taken to travel from Delhi to Shimla is 9 hours.

Now, we need to classify the number 9 in terms of number types:

- **Natural Numbers**: These are positive integers starting from 1. The number 9 is a natural number.

- **Whole Numbers**: These are natural numbers including zero. The number 9 is a whole number.

- **Integers**: These are whole numbers and their negatives. The number 9 is an integer.

- **Rational Numbers**: These are numbers that can be expressed as a ratio of two integers. The number 9 can be expressed as 9/1, so it is a rational number.

- **Real Numbers**: These include all rational and irrational numbers. The number 9 is a real number.

Therefore, the number 9 is classified as a natural, whole, integer, rational, and real number.

In conclusion, the correct answer is (B) 9 hours; Natural, Whole, Integer, Rational, Real.

Option Analysis:
  • Option A: This option is incorrect. The time taken to travel from Delhi to Shimla is not 6 hours. The departure time is 6 pm and the arrival time is 3 am the next day, which means the travel time is 9 hours. The classification of the number is also correct, but the time duration is incorrect.
  • Option B: This option is correct. The time taken to travel from Delhi to Shimla is 9 hours, as calculated by subtracting 6 pm from 3 am the next day. The number 9 is a natural number, whole number, integer, rational number, and real number.
  • Option C: This option is incorrect. The time taken to travel from Delhi to Shimla is not 12 hours. The departure time is 6 pm and the arrival time is 3 am the next day, which means the travel time is 9 hours. The classification of the number is also correct, but the time duration is incorrect.
  • Option D: This option is incorrect. The time taken to travel from Delhi to Shimla is not 18 hours. The departure time is 6 pm and the arrival time is 3 am the next day, which means the travel time is 9 hours. The classification of the number is also correct, but the time duration is incorrect.
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