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: Kim has 3 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?

 Option A: 2/5

 Option B: 1/5

 Option C: 1/9

 Option D: 1/10

 Option E: 1/25

Answer: Option B


Question: Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?

 Option A: 6029

 Option B: 6299

 Option C: 6000

 Option D: 6018

 Option E: 60012

Answer: Option C


Question: Question: What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 15 nor by 20?

 Option A: 887

 Option B: 678

 Option C: 765

 Option D: 345

 Option E: 256

Answer:
Option A