QUANTITATIVE REASONING EXAM QUESTIONS AND
ANSWERS
Cluster sample - ANSWER Sample chosen by dividing the population into groups
that are each similar to the entire population. The researcher then randomly selects
some of the groups. The sample consists of the data collected from every member
of each group selected.
Systematic sample - ANSWER Sample chosen by selecting every nth member of
the population.
Convenience sample - ANSWER Sample in which the sample is easy to select. It is
so named because it is easy for the researcher.
Stratified sample - ANSWER Sample in which members of the population are
divided into two or more subgroups that share similar characteristics like age,
gender, or ethnicity. A random sample from each stratum is then drawn.
Random sample - ANSWER Sample in which every member of the population has
an equal chance of being selected.
Representative sample - ANSWER Sample that has the same relevant
characteristics as the population and does not favor one group of the population
over another.
Negated form of:
"None of the children are not happy" - ANSWER Not all of the children are happy
The inverse of p=>q - ANSWER Change the negation
~p => ~q
Converse of p=>q - ANSWER Change the order
q => p
The contrapositive of p=>q - ANSWER Change the negation and order
~q => ~p
, Biconditional of p=>q - ANSWER Change to a two-way arrow
p <=> q
Negate the conditional statement:
∼c ⇒ (a ∧ ∼b) - ANSWER ∼c ∧ (∼a ∨ b)
You accidentally dial one number on your phone's keypad. Find the probability that
the number you dialled is less than 10 - ANSWER 1
The average price of a certain model of a pickup truck in 1993
1993 was $17,500. In 2011, the average price of the pickup truck was $25,900.
What is the percentage increase in the average price of the pickup truck? -
ANSWER percentage change = new value−reference/ value reference value⋅100%
=$25,900-$17,500/$17,500⋅100%=48%
A couple deposits $16,000 Into an account earning 6%. annual interest for 25.
Calculate the future value of the investment if the interest is compounded daily.
Round your answer to the nearest cent. - ANSWER A=P(1+r/n)^nt
The value of your stock investment in a certain company decreased 10% over the
last year. If the value of your stock investment is $10,000 today, then what was the
value of your stock investment a year ago? Round your answer to the nearest cent,
if necessary. - ANSWER x-0.1x = $10,000
The value of your stock investment decreased by 48% after a stock market crash.
What percentage increase in value would the stocks have to rise to return to the
value they were before the stock market crash? Round your answer to the nearest
tenth of a per cent. - ANSWER $1000(.48)= 1000-480 = 520
1000-520/520 (100)= 92.3%
Chloe found a receipt for a pair of sunglasses for $159.72, tax included. If the sales
tax rate was 8%, what was the list price of the sunglasses? Round your answer to
the nearest cent. - ANSWER x + 0.08x = $159.72
1.08x = $159.72
x = $147.89
ANSWERS
Cluster sample - ANSWER Sample chosen by dividing the population into groups
that are each similar to the entire population. The researcher then randomly selects
some of the groups. The sample consists of the data collected from every member
of each group selected.
Systematic sample - ANSWER Sample chosen by selecting every nth member of
the population.
Convenience sample - ANSWER Sample in which the sample is easy to select. It is
so named because it is easy for the researcher.
Stratified sample - ANSWER Sample in which members of the population are
divided into two or more subgroups that share similar characteristics like age,
gender, or ethnicity. A random sample from each stratum is then drawn.
Random sample - ANSWER Sample in which every member of the population has
an equal chance of being selected.
Representative sample - ANSWER Sample that has the same relevant
characteristics as the population and does not favor one group of the population
over another.
Negated form of:
"None of the children are not happy" - ANSWER Not all of the children are happy
The inverse of p=>q - ANSWER Change the negation
~p => ~q
Converse of p=>q - ANSWER Change the order
q => p
The contrapositive of p=>q - ANSWER Change the negation and order
~q => ~p
, Biconditional of p=>q - ANSWER Change to a two-way arrow
p <=> q
Negate the conditional statement:
∼c ⇒ (a ∧ ∼b) - ANSWER ∼c ∧ (∼a ∨ b)
You accidentally dial one number on your phone's keypad. Find the probability that
the number you dialled is less than 10 - ANSWER 1
The average price of a certain model of a pickup truck in 1993
1993 was $17,500. In 2011, the average price of the pickup truck was $25,900.
What is the percentage increase in the average price of the pickup truck? -
ANSWER percentage change = new value−reference/ value reference value⋅100%
=$25,900-$17,500/$17,500⋅100%=48%
A couple deposits $16,000 Into an account earning 6%. annual interest for 25.
Calculate the future value of the investment if the interest is compounded daily.
Round your answer to the nearest cent. - ANSWER A=P(1+r/n)^nt
The value of your stock investment in a certain company decreased 10% over the
last year. If the value of your stock investment is $10,000 today, then what was the
value of your stock investment a year ago? Round your answer to the nearest cent,
if necessary. - ANSWER x-0.1x = $10,000
The value of your stock investment decreased by 48% after a stock market crash.
What percentage increase in value would the stocks have to rise to return to the
value they were before the stock market crash? Round your answer to the nearest
tenth of a per cent. - ANSWER $1000(.48)= 1000-480 = 520
1000-520/520 (100)= 92.3%
Chloe found a receipt for a pair of sunglasses for $159.72, tax included. If the sales
tax rate was 8%, what was the list price of the sunglasses? Round your answer to
the nearest cent. - ANSWER x + 0.08x = $159.72
1.08x = $159.72
x = $147.89
