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: The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, The age of the 15th student is

Option A: 11

Option B: 12

Option C: 9

Option D: 14

Option E: 15

SOLUTION: Option C

PROBLEM: Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?

Option A: 140

Option B: 175

Option C: 210

Option D: 245

Option E: 280

SOLUTION: Option D

PROBLEM: Question: A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs.1760 in all from both of them as interest. The rate of interest per annum is?

Option A: 16%

Option B: 12%

Option C: 74%

Option D: 10%

Option E: 8%

SOLUTION:
Option E