Quant. Reasoning Test #7

D. 25

The average weight of 4 mice in a group is 22 grams. If a mouse that weighs 20 grams was replaced by a mouse that weighs 32 grams, what is the new average weight of the mice? A. 20 B. 22 C. 23 D. 25 E. 28

D. 104(26)

A certain population of bacteria doubles every 10 minutes. If the number of bacteria was initially 104, which expression represents the number of bacteria after 1 hour? A. 2(104) B. 6(104) C. 104(210) D. 104(26) E. (104)6

C. 25%

A local airline wanted to investigate the number of frequent-flyer members and non-members on its flights. The airline surveyed 50 randomly selected individuals on each of its four flights, and the results are shown on the bar chart below. On average, what percent of its flyers are members? A. 15% B. 20% C. 25% D. 35%

E. 11 hours

A patch of black oil in a circular pond doubles in size every hour. If it takes 12 hours for the patch to cover the entire pond, how long would it take for the patch to cover half the pond? A. 6 hours B. 7 hours C. 8 hours D. 10 hours E. 11 hours

B. 3850 km

A plane travels 2200 km in 4 hours. Then, it encounters a thunderstorm and travels at half its original speed for another 6 hours. What is the total distance traveled by the plane for the entire journey? A. 3350 km B. 3850 km C. 4400 km D. 5500 km E. 6000 km

C. 14 minutes

A tank can hold 120 gallons of water. A hose adds water at a rate of 8 gallons per minute, but the tank has a hole that leaks water at a rate of 3 gallons per minute. If the tank initially has 10 gallons of water, how long would it take to fill the tank to two-thirds of its total capacity? A. 10 minutes B. 12 minutes C. 14 minutes D. 16 minutes

A. Quantity A is greater.

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

C. The two quantities are equal.

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

D. The relationship cannot be determined from the information given.

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

C. $120

Allison makes extra money by babysitting and walking dogs after school. She charges $10 per hour to babysit and $15 per hour to walk a dog. If Allison works 20 hours per week and makes $240, how much did she make babysitting alone? A. $85 B. $100 C. $120 D. $160 E. $170

A. 0.96

Andrew's salary was 20% higher than Kima's salary. After Andrew got demoted, his new salary is 20% less than his old salary. What is the ratio of Andrew's new salary to Kima's old salary? A. 0.96 B. 1 C. 1.2 D. 1.4

E. 2880

At a factory, 5 machines operating simultaneously at the same constant rate can produce 600 bolts per hour. If 3 more machines operating at the same constant rate as the other 5 machines were added, how many bolts can the factory produce in 3 hours? A. 960 B. 1800 C. 2380 D. 2500 E. 2880

D. 5

During a book fair, Shahed is selling different books at different prices. If the price of the book "War and Peace" has the 3rd highest price and the 3rd lowest price, how many books are for sale by Shahed? A. 2 B. 3 C. 4 D. 5 E. 6

B. 2

Find the value of x: A. 1/2 B. 2 C. 1/3 D. 3 E. -2

E. 5

Given the following expression, what is the value of 2x/y? A. 2/5 B. -2/5 C. 5/2 D. -5 E. 5

D. II only

If 3 and 8 are the lengths of 2 sides of a triangle, which of the following can be the length of the third side? I. 5II. 8III. 11 A. I and II B. I and III C. I and II and III D. II only E. III only

B. (M - N)(P - Q) > 0

If M < N and P < Q, which of the following statements must be true? A. (M + N)(P + Q) > 0 B. (M - N)(P - Q) > 0 C. (N - M)(Q - P) < 0 D. M(Q - P) < 0 E. M + N + P + Q > 0

D. 81

If f(x) = (x - 10)2 and g(x) = (x + 3)2 - 30, what is f(g(4))? A. 16 B. 19 C. 49 D. 81 E. 36

C. 23

If the arithmetic average of 5 consecutive integers is 22, what is the arithmetic average of the greatest 3 integers? A. 21 B. 22 C. 23 D. 24 E. Cannot be determined

D. An increase of the cost by $1 results in an increase of the selling price by $4.

If the following formula describes how the selling price S of a commodity is related to its cost C, which of the following statements is true? A. The cost is not related to the selling price. B. The selling price is always exactly four times the cost. C. A decrease in the cost results in an increase in the selling price. D. An increase of the cost by $1 results in an increase of the selling price by $4. E. An increase of the cost by $4 results in an increase of the selling price by $1.

B. 32%

If the length of a rectangular garden is increased by 10%, and its width is increased by 20%, what is the percent increase in the area of the garden? A. 30% B. 32% C. 33.33% D. 40%

A.

If two dice are rolled, what is the probability of not getting a 6 on either of them? A. B. C. D.

A. 23/100

In a classroom, 3/5 of the students are boys and the rest are girls. If 3/4 of the boys and 4/5 of the girls handed their homework on time, what fraction of the total students did not hand in their homework on time? A. 23/100 B. 47/100 C. 23/50 D. 50/77 E. 77/100

D. 4 units to the right, 5 units down

In which direction should we move the graph y = x2 to obtain the graph of y = (x - 4)2 - 5? A. 4 units to the left, 5 units down B. 5 units to the left, 4 units up C. 4 units to the right, 5 units up D. 4 units to the right, 5 units down E. 5 units to the right, 4 units down

D. 24

Kansas and North Dakota are the biggest producers of wheat in the United States. If last year, Kansas produced 2/5 of all wheat, North Dakota produced 1/3 of all wheat, and all other states combined produced 16 million tons of wheat, how many million tons did Kansas produce? A. 12 B. 15 C. 18 D. 24 E. 30

E. $7.50

Karim's diesel truck has a fuel efficiency of 25 miles per gallon, and the cost of diesel is $2.50 per gallon. His car has a fuel efficiency of 40 miles per gallon, and the premium gas for the car costs $4.50 per gallon. How much more will it cost Karim to travel 600 miles if he uses his car instead of his truck? A. $0 B. $3.75 C. $4.85 D. $5.90 E. $7.50

B. 33

The average of three numbers is 35. The range of the numbers is 26. The largest number is three more than twice the smallest number. What is the second highest number? A. 23 B. 33 C. 35 D. 38 E. 41

C. [1,-5]

Solve for x A. [1,5] B. [-1,-5] C. [1,-5] D. [4/3,5] E. [4/3,5/2]

B. 6

Solve for x: 3(4x - 5) - 4(2x + 1) = 5 A. 8 B. 6 C. 0 D. -4 E. -6

A. 0.15

Questions 1 and 2 refer to the table below. The following table shows probabilities of having cavities and halitosis compiled by a dental mission in a remote village. What is the probability that a randomly selected person from the village has both cavities and halitosis? A. 0.15 B. 0.2 C. 0.35 D. 0.4

B. 0.35

Questions 1 and 2 refer to the table below. The following table shows probabilities of having cavities and halitosis compiled by a dental mission in a remote village. What is the probability that a randomly selected person from the village has halitosis? A. 0.15 B. 0.35 C. 0.40 D. 0.20

A. From 2008 to 2009

Questions 24 and 25 refer to the table below: For Country M, which of the following time frames did the country experience the greatest percent decrease in the dollar amount of imports? A. From 2008 to 2009 B. From 2009 to 2010 C. From 2010 to 2011 D. From 2009 to 2011 E. Cannot be determined

A. L

Questions 24 and 25 refer to the table below: From 2009 to 2010, for which of the countries was the percent increase of imports greatest? A. L B. M C. N D. P E. Q

E. 100

Shawn received 60 and 80 points on his 2 exams. If each exam accounts for 25% of his final grade, and his term project accounts for 50%, what score should Shawn get on his term project to have an average of 85 in the class? A. 80 B. 85 C. 90 D. 95 E. 100

D. $40

The percent increase of the price of a table from its original amount to $72 is 80%. What was the original price of the table? A. $28 B. $30 C. $36 D. $40 E. $48

D. 40

The ratio of men to women at an annual gathering is 5:2. If there are a total of 140 guests at the gathering, how many are women? A. 15 B. 20 C. 32 D. 40 E. 60

B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question.

The scores on a physics test are normally distributed with a mean of 70. What percent of the students scored 80 and above on the test? 1) 10 students scored below 60. 2) The z-score that corresponds to 80 is +2. A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question. B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question. C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone. D. Each statement alone is sufficient to answer the question. E. Statements 1) and 2) together are not sufficient to answer the question.

C. 6

There are two modes of transportation linking City A and B. There are three modes of transportation linking City B and C. How many possible ways can you go from City A to C? A. 2 B. 3 C. 6 D. 10

C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone.

What is the arithmetic average of m and n? (1) The average of m and 2n is 10(2) The average of 2m and 6n is 30 A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question. B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question. C. Both statements 1) and 2) together are sufficient to answer the question but neither statement is sufficient alone. D. Each statement alone is sufficient to answer the question. E. Statements 1) and 2) together are not sufficient to answer the question.