Quant 2nd Edition – PS Questions 141-150

Question 141 – “An artist wishes to paint…”

OG Explanation is fine.

Question 142 – “A driver completed…”

OG Explanation is okay.   If it is not too complicated for you, you could also switch into minutes.   An average speed of 60 miles per hour is equivalent to 1 mile per minute.   For the driver to achieve an average speed of 60mph on a 40-mile trip, the trip must take 40 minutes.   The first 20 miles were completed at 50mph which means they took 2/5 of an hour or 24 minutes.  This means, the drive must complete 20 miles in 16 minutes.

Question 143 – “A $500….”

OG Explanation is unnecessarily complicated.    This is just a weighted average problem.   $500 to $1500 is a 1 to 3 ratio.  Let x be the percent return on the $1500 fund.  We can compute the weighted average by taking 1 part 7% and 3 parts x%.

Question 144 – “For any integer…”

OG Explanation is fine.   Note that the 6 with the L symbol is the same as 6!

Question 145 – “The figure shown…”

OG Explanation is fine.

Question 146 – “On a certain…”

OG Explanation is fine

Question 147 – “If x and k…”

OG Explanation is fine.

Question 148 – “If the variables…”

OG Explanation is too short.   Yes, if a distribution is symmetric then its median is equivalent to its mean.    If that is not intuitive to you, (for simplicity, I divided all the numbers by 10) we could model X as 1,2,2,3,3,3,4,4,4,4,5,5,5,6,6,7.   We see the median is 4 and the mean is 4.   Y would model as 1,2,3,3,3,3,3,4,4,4,4,5,5,6,6,6,7,7.   Here the median is 4 and the mean > 4 as there is more weight on the larger numbers.   Z would model as 1,1,1,1,2,2,2,3,3,4,5,5,6,6,6,7,7,7,7.   Here for every 1, there is an equal number of 7’s and for every 2, there is an equal number of 6’s, etc.   So the mean is 4.   The median is 4 (i.e. the middle number).

Question 149 – “For every even positive integer…”

OG Explanation is fine.

Question 150 – “In pentagon PQRST…”

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