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: The difference of two numbers is 1565. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

SOLUTION: Option E

PROBLEM: Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 54. Find the third number?

 Option A: A

 Option B: B

 Option C: C

 Option D: D

 Option E: E

SOLUTION: Option E

PROBLEM: Question: In how many ways can the letters of the word INTELLIGENCE be arranged?

 Option A: 2580

 Option B: 2500

 Option C: 200067

 Option D: 9979200

 Option E: 3420456

SOLUTION:
Option D