Question

Part 01
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Q1) A tailor wants to make square shaped towels. The required squared pieces of cloth will be cut
from a ream of cloth which is 20 meters in length and 16 meters in width.
a) Find the minimum number of squared pieces that can be cut from the ream of cloth without
wasting any cloth.
b) Briefly explain the technique you used to solve (a)


Q2) On the first day of the month, 4 customers come to a restaurant. Afterwards, those 4 customers
come to the same restaurant once in 2,4,6 and 8 days respectively.
a) On which day of the month, will all the four customers come back to the restaurant together?
b) Briefly explain the technique you used to solve (a).


Part 02
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Q1) A company is offering a job with a salary of Rs. 50,000.00 for the first year and a 4% raise each
year after that. If that 4% raise continues every year,
a) Find the total amount of money an employee would earn in a 10-years career.
b) Briefly explain the technique you used to solve (a).


Part 03
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Q1) Define the multiplicative inverse in modular arithmetic and identify the multiplicative inverse of
6 mod 13 while explaining the algorithm used.

Q2) Prime numbers are important to many fields. In the computing field also prime numbers are
applied. Provide examples and in detail explain how prime numbers are important in the field of
computing.


Part 04
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Q1) Suppose a voter poll is taken in three states. Of the total population of the three states, 45% live
in state A, 20% live in state B, and 35% live in state C. In state A, 40% of voters support the
liberal candidate, in state B, 30% of the voters support the liberal candidate, and in state C, 60%
of the voters support the liberal candidate.
Let A represents the event that voter is from state A, B represents the event that voter is from
state B and C represents the event that voter is from state C. Let L represents the event that a
voter supports the liberal candidate.
a) Find the probability that a randomly selected voter does not support the liberal candidate
and lives in state A.
b) Find the probability that a randomly selected voter supports the liberal candidate.
c) Given that a randomly selected voter supports the liberal candidate, find the probability that
the selected voter is from state B.


Q2) In a box, there are 4 types [Hearts, Clubs, Diamonds, Scorpions] of cards. There are 6 Hearts
cards, 7 Clubs cards, 8 Diamonds cards and 5 Scorpions cards in the box. Two cards are selected
randomly without replacement.
a) Find the probability that the both selected cards are Hearts.
b) Find the probability that one card is Clubs and the other card is Diamonds.
c) Find the probability that the both selected cards are from the same type.

Answer 1

Answer:

don't know brother really sorry

Answer 2

Answer:

Thats too big

sorry I cannot answer

Step-by-step explanation:

thanks for points