COMPLETE QUESTIONS AND ANSWERS/ GRADED
A+/VERIFIED/ LATEST
Which of the following statements regarding basic operations
in numbers is not always true?
a. the product of two odd numbers is odd
b. the product of two composite numbers is even
c. the product of an even number and another number is even
d. the product of two prime numbers is odd
answer: d. the product of two prime numbers is odd
By using inductive reasoning, we can either prove or disprove
a given statement. A counterexample for the statement, ''the
product of two prime numbers is odd,'' is using any prime
number and the number 2. Multiplying any number by 2 will
result in an even number.
There is a right triangle. Side a has a length of 9, side c has a
length of 41. Which of the following is the measurement of side
b?
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,a. 27
b. 36
c. 40
d. 39
answer: c. 40
Using the Pythagorean theorem where side a = 9 and side c =
41, we will get that side b = 40.
What is the definition of a regular shape? What is the definition
of an irregular shape?
The definition of a regular shape is that all the sides are equal
and all the inside angles are equal. An irregular shape doesn't
have equal sides or equal angles. For example, an equilateral
triangle is a regular shape because all the sides are equal
AND all the angles are equal.
There are 612 applicants for a manufacturing firm but only
one-twelfth of the applicants will be interviewed for the
second screening. How many applicants did not reach the
second screening?
a. 561
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, b. 510
c. 51
d. 102
answer: a. 561
Out of the 612, only a twelfth of them will reach the second
screening, which is 612 divided by 12 = 51. We subtract 51 from
612 to get 561.
Jordan has a chocolate bar. The chocolate bar consists of
squares of chocolate; it has a length of 6 squares and a width
of 4 squares. For the first three days, Jordan eats the largest
possible square off of the chocolate bar. What fractions of the
chocolate does she eat each day?
a. 2/3, 16/24, 1/4
b. 16/24, 1/6, 3/24
c. 1/3, 16/24, 1/4
d. 2/3, 1/6, 1/6
answer: d. 2/3, 1/6, 1/6
The chocolate bar has 24 rectangles. The largest possible
square is a 4 by 4 square that contains 16 squares out of 24.
Therefore, Jordan eats 16/24 = 2/3 in the first day. The
remaining part is a 4 by 2 rectangle. The largest possible
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