TASK DEFINITION: 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.
PROBLEM: Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $6.00?

Option A: 72

Option B: 60

Option C: 90

Option D: 120

Option E: 240

SOLUTION: Option A

PROBLEM: Question: In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?

Option A: 9!

Option B: 3!*4!*2!

Option C: 5!*5!

Option D: 5!*4!*2!

Option E: 6!*4!

SOLUTION: Option B

PROBLEM: Question: The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is

Option A: 33

Option B: 278

Option C: 75

Option D: 978

Option E: 27

SOLUTION:
Option C