instruction:
You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
question:
Question: P alone can complete a piece of work in 14 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?

 Option A: 6 (1/4

 Option B: 21/2 days

 Option C: 7 (3/4

 Option D: 8/5 days

 Option E: 9 (3/4
answer:
Option B


question:
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 600 students and the middle school enrolled 300 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?

 Option A: r/3

 Option B: r/2

 Option C: 2r

 Option D: 3r

 Option E: r/9
answer:
Option A


question:
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 124 in his diary to remember his PIN. He also wrote out the way to calculate 124 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 124".
Once, Prafull saw his diary in which Pinaki wrote this number 124. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?

 Option A: 874

 Option B: 875

 Option C: 876

 Option D: 877

 Option E: 873
answer:

Option E