TASK DEFINITION: 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.
PROBLEM: Question: There are 4 boys and 3 girls seated in a row.Find the probability that all girls are together?

Option A: 1/6

Option B: 1/7

Option C: 2/7

Option D: 3/7

Option E: 4/7

SOLUTION: Option B

PROBLEM: Question: A code is to be made by arranging 9 letters. five of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?

Option A: 42

Option B: 210

Option C: 46820

Option D: 84002

Option E: 90720

SOLUTION: Option E

PROBLEM: Question: Mangala completes a piece of work in 18 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is

Option A: 6 days

Option B: 7 days

Option C: 15 days

Option D: 9 days

Option E: 11 days

SOLUTION:
Option C