instruction:
Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
question:
Problem: a boat having a length 8 m and breadth 2 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :
Options: a. 12 kg, b. 60 kg, c. 72 kg, d. 160 kg, e. none of these
answer:
d


question:
Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 3, – 4 ), k = ( – 3, 1 ), l = ( 5, 7 ), and m = ( 5, – 4 ). what is its perimeter ?
Options: a. 34, b. 36, c. 38, d. 40, e. ( f ) 42
answer:
a


question:
Problem: 3 houses are available in a new flat. 3 persons apply for the houses. each applies for 1 house without consulting others. the probability that all the 3 apply for the same house is ?
Options: a. 1 / 7, b. 1 / 9, c. 2 / 7, d. 3 / 7, e. 2 / 9
answer:

b