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: A six-character password consists of three letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?

 Option A: 5,040

 Option B: 2,228,720

 Option C: 22,226,000

 Option D: 22,237,440

 Option E: 22,464,000

Answer: Option E


Question: Question: A survey is conducted on 800 people from a city. It is found that 6 1% of people surveyed speakHindi, 54.5% people speak Bangla and 37.5% of them speak English. 16.5% people can speak only Hindi and Bangla, 14.5% people can speak only Hindi and English and 6% people can speak only Bangla and English. Answer the following questions based on this information.
How many people are there who can speak only Hindi ?

 Option A: 172

 Option B: 174

 Option C: 176

 Option D: 178

 Option E: 179

Answer: Option C


Question: Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

 Option A: 4

 Option B: 5

 Option C: 6

 Option D: 7

 Option E: 9

Answer:
Option A