instruction:
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.
question:
Question: The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

 Option A: 69

 Option B: 78

 Option C: 96

 Option D: Cannot be determined

 Option E: None of these
answer:
Option D


question:
Question: The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that ofthe failed candidates is 15,what is the no. of candidates who passed the examination

 Option A: 14 years

 Option B: 14 years 3 month

 Option C: 14 years 8 month

 Option D: 15 years 8 month

 Option E: 16 years 2 month
answer:
Option C


question:
Question: Anil invested a capital of Rs.5000 and Sunil invested Rs.10000. Anil invested for a time period which is double than the time period for which Sushil invested. How will a profit of Rs.4000 be divided between them?

 Option A: 1000, 3000

 Option B: 3000,1000

 Option C: 2500,1500

 Option D: 2000,2000

 Option E: 3000,2000
answer:

Option D