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: Imagine a picture in your mind. There is a rose plant. A few roses have grown up in the plant. There are a few bees hovering over them.
Now read the given statements carefully:
1) If every one of the bees lands on a rose, one of them won't get a rose.
2) If two bees share rise together, then there will be one rose left without any bee.
Can you find out the number of roses on the plant and the number of bees?

 Option A: There are Four roses and four bees.

 Option B: There are three roses and four bees.

 Option C: There are three roses and three bees.

 Option D: There are five roses and one bees.

 Option E: There are six roses and four bees.
answer:
Option B


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: A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?

 Option A: 76 ways

 Option B: 65 ways

 Option C: 54 ways

 Option D: 28 ways

 Option E: 30 ways
answer:

Option E