The document contains 4 math problems with solutions: 1) Finding the sum of the unique prime factors of 198 (16) 2) Finding the sum of the distinct primes that are the product of all positive 11 multiples below 120 (28) 3) Finding the sum of the least and greatest of 5 consecutive integers with an average of 11 (22) 4) Converting 6 miles per hour to feet per second (8.8 feet per second)

1. GRE ARITHMETIC III
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2. What is the sum of the unique prime factors of 198
198 = 2 × 32 × 11
Sum of the unique prime factors = 2+3 + 11= 16
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P is the product of all positive multiples of 11 < 120 ,
What is the sum of the distinct primes of P
Possible multiples of 11< 120 are 11,22,33,-----110
𝑃 = 11 × 22 × 33 ×−−−−− −110

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P= 11(1 × 2 × 3 ×−−−
− 10)
Distinct primes of P are 2,3, 5, 7, 11
Sum = 28

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If the average of 5 consecutive integers is 11,
what is the sum of the least and greatest integer
Let the integers be a, a+1, a+2, a+3, a+4
Average =
5𝑎+10
5
= 11

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5a+10 = 55
a= 9
Least integer = 9, greatest integer = 13
Sum = 22

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Convert 6 miles per hour to feet per second
1 mile = 5280 feet
6 miles = 6(5280) feet
6 miles per hour =
6(5280)
3600
= 8.8 𝑓𝑒𝑒𝑡 𝑝𝑒𝑟 𝑠𝑒𝑐𝑜𝑛𝑑