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In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. 30 Apr 2021, 08:15
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In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. If his entire year consisted of exactly 25 weeks of 2 workdays, 13 weeks of 4 workdays, and 12 weeks of 5 workdays, which of the following is closest to his average number of days worked per week for the year?

A. 3
B. 3.25
C. 3.75
D. 4
E. 4.5
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B
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In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. 30 Apr 2021, 08:25
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Bunuel
In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. If his entire year consisted of exactly 25 weeks of 2 workdays, 13 weeks of 4 workdays, and 12 weeks of 5 workdays, which of the following is closest to his average number of days worked per week for the year?

A. 3
B. 3.25
C. 3.75
D. 4
E. 4.5
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There is a total of \(25 + 13 + 12 = 50\) weeks. In total he worked for \(25*2 + 13*4 + 12*5 = 50 + 52 + 60 = 162\) days. Then the average is \(162/50 = 3 + 12/50 = 3.24\).

The closest in value is B

Ans: B
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In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. 30 Apr 2021, 20:26
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Bunuel
In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. If his entire year consisted of exactly 25 weeks of 2 workdays, 13 weeks of 4 workdays, and 12 weeks of 5 workdays, which of the following is closest to his average number of days worked per week for the year?

A. 3
B. 3.25
C. 3.75
D. 4
E. 4.5
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The average would be nearer to 2 than 5 because number of weeks with 2 days is 25 and for 5 days its 12. Hence option D and E are not possible.
A is also not possible since total of 50 weeks is the divisor for total of number of days which is not divisible by 50.
Option C is also not possible as multiplying it with 50(weeks) would give a higher remainder(more workdays) than B i.e. ~37.5 as remainder.

Answer B.
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In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. 01 May 2021, 04:15
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Bunuel
In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. If his entire year consisted of exactly 25 weeks of 2 workdays, 13 weeks of 4 workdays, and 12 weeks of 5 workdays, which of the following is closest to his average number of days worked per week for the year?

A. 3
B. 3.25
C. 3.75
D. 4
E. 4.5
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VERITAS PREP OFFICIAL SOLUTION:

We can use our knowledge of weighted average to solve. Mohammad worked a total of 50 weeks (25 + 13 + 12), so 25/50 of them consisted of 2 work days, 13/50 of 4 workdays, and 12/50 of 5 workdays. If we reduce the fractions we then have: 1/2 * 2 + 13/50 * 4 + 6/25 * 5, or 1 + 26/25 + 6/5. We can convert to a common denominator (25/25 + 26/25 + 30/25 = 81/25) or decimals (1 + 1.04 + 1.2), but either way we end up with an average of 3.24, which is closest to B. Alternatively, we can recognize that 50% of his weeks had 2 workdays and the other 50% had 4 or 5, so the correct answer should be pretty close to the average of 2 and 4.5, which is conveniently 3.25.
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In 2013, Mohammad’s work weeks consisted of 2, 4, or 5 days of work. 12 Jul 2025, 21:39
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