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 average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.500 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?

 Option A: 620

 Option B: 720

 Option C: 820

 Option D: 920

 Option E: 1020
answer:
Option C


question:
Question: In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?

 Option A: 200

 Option B: 210

 Option C: 90

 Option D: 250

 Option E: 270
answer:
Option C


question:
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

 Option A: 50 m

 Option B: 150 m

 Option C: 200 m

 Option D: data inadequate

 Option E: None of these
answer:

Option B