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.

[Q]: 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
[A]: Option C


[Q]: Question: A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?

 Option A: 9:6

 Option B: 9:8

 Option C: 9:1

 Option D: 9:9

 Option E: 9:5
[A]: Option B


[Q]: Question: At what price must an article costing Rs.150 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 30% on the cost price?

 Option A: 62.5

 Option B: 62.0

 Option C: 62.6

 Option D: 216.67

 Option E: 62.2
[A]:
Option D