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: 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: There are 4 boys and 3 girls seated in a row.Find the probability that all girls are together?

 Option A: 1/6

 Option B: 1/7

 Option C: 2/7

 Option D: 3/7

 Option E: 4/7

SOLUTION: Option B

PROBLEM: Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 4% higher then what would the sum amount in the same time period?

 Option A: Rs. 3770

 Option B: Rs. 3683

 Option C: Rs. 3596

 Option D: Data inadequate

 Option E: None of these

SOLUTION:
Option A