Basic Word Problems 1

1
Basic Word Problems 1
If 6 gallons are added to a tank that is already
filled to 3/4 of its capacity, the tank is then
filled to 9/10 of its capacity. How many gallons
does the tank hold? (A) 20 (B) 24 (C) 36 (D) 40 (E
) 60
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Basic Word Problems 2
Al, Lew, and Karen polled their funds to buy a
gift for a friend. Al contributed 2 less than
1/3 of the cost of the gift and Lew contributed
2 more than 1/4 of the cost. If Karen
contributed the remaining 15, what was the cost
of the gift? (A) 24 (B) 33 (C) 36 (D) 43 (E)
45
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Basic Word Problems 3
The sum of the interior angles of any polygon
with n sides is 180(n - 2) degrees. If the sum of
the interior angles of polygon P is three times
the sum of the interior angles of quadrilateral
Q, how many sides does P have? (A) 6 (B) 8 (C) 10
(D) 12 (E) 14
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Basic Word Problems 4
An instructor scored a students test of 50
questions by subtracting 2 times the number of
incorrect answers from the number of correct
answers. If the student answered all the
questions and received a score of 38, how many
questions did the student answer
correctly? (A) 19 (B) 38 (C) 41 (D) 44 (E) 46
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Basic Word Problems 5
A student responded to all of the 22 questions on
a test and received a score of 63.5. If the
scores were derived by adding 3.5 points for each
correct answer and deducting 1 point for each
incorrect answer, how many questions did the
student answer incorrectly? (A) 3 (B) 4 (C) 15 (D)
18 (E) 20
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Percent Increase/Decrease 1
In 1970 there were 8,902 women stockbrokers in
the United States. By 1978 the number had
increased to 19,947. Approximately what was the
percent increase? (A) 45 (B) 125 (C) 145 (D) 15
0 (E) 225
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Percent Increase/Decrease 2
When the stock marked opened yesterday, the price
of a share of stock X was 10 1/2. When the market
closed, the price was 11 1/4. Of the following,
which is closest to the percent increase in the
price of stock X ? (A) 0.5 (B) 1.0 (C) 6.7 (D)
7.1 (E) 7.5
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Percent Increase/Decrease 3
In a rectangle the length in increased by 10 and
the width is increased by 12. What is the
increase in area of the rectangle. (A) 22 (B) 23.
2 (C) 11.5 (D) 30 (E) 12
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Ratio Problem 1

• The sides of a triangle are in ratio of 235.
  If the perimeter is 50 inches, find the length of
  the longest side.
• 10
• 5
• 25
• 30
• 35

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Ratio Problem 2

• If the ratio of Johns allowance to Lucys
  allowance is 32 and the ratio of Lucys
  allowance to Bobs allowance is 34, what is the
  ratio of Johns allowance to Bobs allowance.
• 34
• 23
• 98
• 89
• 75

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Ratio Problem 3

• Three business partners, Q, R and S, agree to
  divide their total profit for a certain year in
  the rations of 2 5 8, respectively. If Qs
  share was 4, 000, what was the total profit of
  the business partners for the year?
• 26,000
• 30,000
• 52,000
• 60,000
• 300,000

12
Average Problem
The average of 3 different positive numbers is
100 and the largest of these 3 integers is 120,
what is the least possible value of the smallest
of these 3 integers?
(A) 1 (B) 10 (C) 61 (D) 71 (E) 80
13
Age Problem
John is 20 years older than Steve. In 10 years,
Steve's age will be half that of John's. What is
Steve's age?

• (A) 2
• (B) 8
• (C) 10
• (D) 20
• (E) 25

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Mixture Problem 1

• How many liters of pure alcohol must be added to
  100-liter solution that is 20 percent alcohol in
  order to produce a solution that is 25 percent
  alcohol?
• 7/2
• 5
• 20/3
• 8
• 39/4

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Mixture Problem 2

• A tank contains 10,000 gallons of a
  solution that is 5 percent sodium chloride by
  volume. If 2,500 gallons of water evaporate from
  the tank, the remaining solution will be
  approximately what percent sodium chloride?
• 1.25
• 3.75
• 6.25
• 6.67
• 11.7

16
Value Problems 1

• Elena purchased brand X pens for 4.00 apiece
  and brand Y pens for 2.80 apiece. If Elena
  purchased a total of 12 pens for 42.00, how many
  brand X pens did she purchase?
• 4
• 5
• 6
• 7
• 8

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Value Problems 2

• Three types of pencils, J, K, L, cost 0.05,
  0.10, and 0.25 each, respectively. If a box of
  32 of these pencils cost a total of 3.40 and if
  there are twice as many K pencils as L pencils in
  the box, how many J pencils are in the box?
• 6
• 12
• 14
• 18
• 20

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Value Problems 3
For a certain performance, x tickets for
lower-level seats were sold at at 10 each and y
tickets for balcony seats were sold at 6 each.
If there were no other tickets sold and the
number of tickets sold for lower-level seats was
3 times the number of tickets sold for balcony
seats, which of the following expresses the total
number of dollars from tickets sales in terms of
x ? (A) 12x (D) 32x (B) 16x (E) 36x (C) 28x

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Value Problems 4
Laura has 20 coins consisting of quarters and
dimes. If she has a total of 3.05, how many
dimes does she have?
(A) 3 (B) 7 (C) 10 (D) 13 (E) 16
20
Rate Problems 1
One inlet pipe fills an empty tank in 5 hours. A
second inlet pipe fills the same tank in 3 hours.
If both pipes are used together, how long will it
take to fill 2/3 of the tank? (A) 8/15
hr (B) 3/4 hr (C) 5/4 hr (D) 15/8 hr (E) 8/3
hr
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Rate Problems 2
Working alone, R can complete a certain kind of
job in 9 hrs, R and S, working together at these
respective rates, can complete one of these jobs
in 6 hrs. In how many hours can S, working alone,
complete one of these jobs? (A) 18 (B) 12 (C) 9
(D) 6 (E) 3