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: a, b, c and d are four consecutive numbers. If the sum of a and dis 113, what is the product of b and c?

 Option A: 2652

 Option B: 2578

 Option C: 2534

 Option D: 3192

 Option E: 4234
answer:
Option D


question:
Question: What number times (1⁄5)^2 will give the value of 5^3?

 Option A: 5

 Option B: 25

 Option C: 125

 Option D: 625

 Option E: 3125
answer:
Option E


question:
Question: Alex has to take a quiz, which has ten true false-type question each carry 1 mark. What is the probability that Alex's can score more than 8 mark in the quiz. Given that he decides to guess randomly on the quiz.

 Option A: 12/1024

 Option B: 11/1024

 Option C: 11/256

 Option D: 12/256

 Option E: 14/256
answer:

Option B