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Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarders and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?

  • a)
    580

  • b)
    550

  • c)
    540

  • d)
    560

Correct answer is option 'B'. Can you explain this answer?
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Total expenses of a boarding house are partly fixed and partly varying...
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Total expenses of a boarding house are partly fixed and partly varying...
Identifying the Wrong Number in a Series

Given series: 23, 29, 31, 33, 41, 43, 47

To identify the wrong number in the series, we need to analyze the pattern followed by the given numbers. Let's try to identify the pattern here:

- The first number is 23
- The next number is 29, which is a prime number and is obtained by adding 6 to the previous number (23+6=29).
- The next number is 31, which is also a prime number and is obtained by adding 2 to the previous number (29+2=31).
- The next number is 33, which is not a prime number and seems to break the pattern.
- The next number is 41, which is a prime number and is obtained by adding 8 to the previous number (33+8=41).
- The next number is 43, which is a prime number and is obtained by adding 2 to the previous number (41+2=43).
- The last number is 47, which is a prime number and is obtained by adding 4 to the previous number (43+4=47).

Based on the above analysis, we can see that the pattern followed by the given series is:

- Add 6, then 2, then 8, then 2, then 4, and so on.

Therefore, the wrong number in the given series is 33, as it breaks the pattern. The correct answer is option B.
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Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarders and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?a)580b)550c)540d)560Correct answer is option 'B'. Can you explain this answer?
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