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: There are 600 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?

 Option A: 100

 Option B: 200

 Option C: 250

 Option D: 300

 Option E: 400

SOLUTION: Option D

PROBLEM: Question: The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is?

 Option A: 625

 Option B: 827

 Option C: 657

 Option D: 726

 Option E: 634

SOLUTION: Option A

PROBLEM: Question: If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z?
I)x=541 y=401 z=100
II)x=530 y=400 z=100
III)X=501 y=300 z=200

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I​ and II

 Option E: I and III

SOLUTION:
Option B