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: Rs. 6000 is lent out in two parts. One part is lent at 5% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?

 Option A: 5:1

 Option B: 5:5

 Option C: 5:8

 Option D: 5:4

 Option E: 5:2

Answer: Option B


Question: Question: Two out of five employees are capable of doing a certain task. Sixty percent of the five employees, including the two who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?

 Option A: 43.33%

 Option B: 33.33%

 Option C: 13.33%

 Option D: 38.33%

 Option E: 23.33%

Answer: Option B


Question: Question: Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 12 phone numbers by using the readable digits followed by 12 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly?

 Option A: 1/9

 Option B: 10/243

 Option C: 2/45

 Option D: 10/271

 Option E: 1/1000000

Answer:
Option C