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: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?

 Option A: Rs.2400

 Option B: Rs.3600

 Option C: Rs.2850

 Option D: Rs.2000

 Option E: Rs.3000
answer:
Option A


question:
Question: To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 765 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?

 Option A: 191

 Option B: 192

 Option C: 193

 Option D: 212

 Option E: 213
answer:
Option B


question:
Question: For one toss of a certain coin, the probability that the outcome is heads is 0.3. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?

 Option A: (0.3

 Option B: 2(0.3

 Option C: 3(0.3

 Option D: 4(0.3

 Option E: 5(0.3
answer:

Option E