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.
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Question: Question: The difference of two numbers is 1415. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

Answer: Option B


Question: Question: The LCM of two numbers is 2310 and HCF is 26. If one of the numbers is 210. Then what is the other number ?

 Option A: 715

 Option B: 825

 Option C: 286

 Option D: 582

 Option E: 465

Answer: Option C


Question: Question: At a constant Rate of flow, it takes 120 minutes to fill a swimming pool if a large hose is used and 180 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?

 Option A: 52

 Option B: 54

 Option C: 56

 Option D: 58

 Option E: 72

Answer:
Option E