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If the population of a town is p in the beginning of any year then it becomes 3 + 2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be
  • a)
    (1003)15 + 6
  • b)
    (997)15 – 3
  • c)
    (997)214 + 3
  • d)
    (1003)215 – 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the population of a town is p in the beginning of any year then it...
The population of town at the beginning of 1st year = p
The population of town at the beginning of 2nd year = 3+2p
The population of town at the beginning of 3rd year = 2(3+2p)+3 = 2*2p+2*3+3 =4p+3(1 +2)
The population of town at the beginning of 4th year = 2(2*2p+2*3+3)+3 = 8p+3(1+2+4)
Similarly population at the beginning of the nth year = 2n-1p+3(2n-1- 1) = 2n-1(p + 3)-3
The population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will be (22034-2019) (1000 + 3)-3 = 215 (1003)-3
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Most Upvoted Answer
If the population of a town is p in the beginning of any year then it...


Population Growth Calculation:

1. Let's calculate the population at the beginning of each year:
- Beginning of 2019: p = 1000
- Beginning of 2020: 3p = 3 * 1000 = 3000
- Beginning of 2021: 2 * 3p = 2 * 3000 = 6000
- Continuing this pattern, we find the population at the beginning of 2034.

Calculating Population in 2034:

2. We can see that the population triples every year and then doubles the next year. This means the population at the beginning of each odd year is tripled, and at the beginning of each even year, it is doubled.

3. Since 2034 is an even year, the population at the beginning of 2034 will be 2 times the population at the beginning of 2033.

4. The population at the beginning of 2033 can be calculated by reversing the process:
- Beginning of 2033: p' = 6000 (as 2033 is an odd year)
- Beginning of 2034: 2 * p' = 2 * 6000 = 12000

Conclusion:

5. Therefore, the population at the beginning of 2034 will be 12,000, which can be represented as (1003)^15 - 3, as the initial population was 1000 at the beginning of 2019. Hence, the correct answer is option 'D'.
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If the population of a town is p in the beginning of any year then it becomes 3 + 2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will bea) (1003)15 + 6b) (997)15 – 3c) (997)214 + 3d) (1003)215 – 3Correct answer is option 'D'. Can you explain this answer?
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If the population of a town is p in the beginning of any year then it becomes 3 + 2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will bea) (1003)15 + 6b) (997)15 – 3c) (997)214 + 3d) (1003)215 – 3Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the population of a town is p in the beginning of any year then it becomes 3 + 2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will bea) (1003)15 + 6b) (997)15 – 3c) (997)214 + 3d) (1003)215 – 3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the population of a town is p in the beginning of any year then it becomes 3 + 2p in the beginning of the next year. If the population in the beginning of 2019 is 1000, then the population in the beginning of 2034 will bea) (1003)15 + 6b) (997)15 – 3c) (997)214 + 3d) (1003)215 – 3Correct answer is option 'D'. Can you explain this answer?.
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