Question
Of the six cities, Aliganj is bigger than Sewa Nagar. Hari Nagar is bigger than Nand Nagri. Jaitpur is smaller than Hari Nagar but bigger than Sewa Nagar. Sewa Nagar is smaller than Nand Nagri but bigger than Rampur. Which is the smallest city?
This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
Rampur
Solution: Finding the Smallest City
The goal is to determine which of the six cities is the smallest based on the given size comparisons.
Analyzing City Size Comparisons
Let's represent the size comparison using the greater than symbol ('>').
- Aliganj is bigger than Sewa Nagar: $Aliganj > Sewa Nagar$
- Hari Nagar is bigger than Nand Nagri: $Hari Nagar > Nand Nagri$
- Jaitpur is smaller than Hari Nagar but bigger than Sewa Nagar: $Hari Nagar > Jaitpur > Sewa Nagar$
- Sewa Nagar is smaller than Nand Nagri but bigger than Rampur: $Nand Nagri > Sewa Nagar > Rampur$
Determining the Smallest City
We can combine these inequalities to establish a relative order:
- From $Hari Nagar > Jaitpur > Sewa Nagar$ and $Nand Nagri > Sewa Nagar > Rampur$, we know that both Jaitpur and Nand Nagri are larger than Sewa Nagar, and Sewa Nagar is larger than Rampur.
- This means $Sewa Nagar > Rampur$.
- We also know that Hari Nagar is larger than Nand Nagri ($Hari Nagar > Nand Nagri$).
- Combining the information around Sewa Nagar:
- Cities larger than Sewa Nagar include: Hari Nagar, Jaitpur, Nand Nagri. Aliganj is also larger than Sewa Nagar.
- Cities smaller than Sewa Nagar: Rampur.
- The comparison $Sewa Nagar > Rampur$ explicitly shows that Rampur is smaller than Sewa Nagar.
- Since Rampur is smaller than Sewa Nagar, and Sewa Nagar is smaller than several other cities (Jaitpur, Nand Nagri, Hari Nagar, Aliganj), Rampur is the smallest city among the six.
Conclusion: Rampur is the smallest city.
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