Question
Quantitative Aptitude Question on Number Systems
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
(997)214 + 3
B
(1003)15 + 6
C
(1003)215 - 3
D
(997)15 - 3
Answer
(1003)215 - 3
Explanation
Solution
We can modify each option for 'n' years:
(997)214 + 3 ≡ (p-3)2n-1 + 3
(1003)215 + 6 ≡ (p-3)2n + 6
(1003)215 - 3 ≡ (p-3)n - 3
(997)15 - 3 ≡ (p-3)n - 3
Given the condition that in one year, the population 'p' becomes '3+2p', we substitute 1n=1 into each option and check to obtain3+2p:
(p-3)2n-1 + 3 ≡ 3 ≠ 3 + 2p
(p-3)n - 3 ≡ (p-3) - 3 ≠ p - 6
Therefore, the correct answer is option 3.