GMAT Test Quantitive Reasoning Easy Questions Section (No Explanations) - No calculator

Each week, a clothing salesperson receives a commission equal to 15% of the first $500 in sales and 20% of all additional sales that week. What commission would the salesperson receive on total sales for the week o $1,300? (a) $195 (b) $227 (c) $235 (d) $260 (e) $335

(C)

{x} {x} {x} {y} {y} {v} {v} {x} {x} {y} {w} {w}. Each of the 12 squares shown is labeled x, y, v, or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w? (a) 1:2 (b) 2:3 (c) 4:3 (d) 3:2 (e) 2:1

(E)

During a recent storm, 9 neighborhoods experienced experienced power failures of durations 34, 29, 27, 46, 18, 25 12, 35 and 16 minutes respectively. For these 9 neighborhoods, what was the median duration, in minutes, of the power failures? (a) 34 (b) 29 (c) 27 (d) 25 (e) 18

(c)

125% of 5 = (a) 5.125 (b) 5.25 (c) 6 (d) 6.125 (e) 6.25

(e)

Last year $48,000 of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owners receive from the $48,000? (a) $12,000 (b) $9,000 (c) $6,000 (d) $4,000 (e) $3,000

(B) Let A be the amount received by each owner and let B be the amount received by each employee. From the given information it follows that A=3B and 2A+10B=48,000, or 16B =48,000, or B=3,000. Therefore, the amount received by each owners was A=3B =3($3,000) = $9,000

The numbers of cars sold at a certain dealership on six of the last seven days were 4,7,2,8,3, and 6 respectively. If the number of cars sold on the seventh business day was either 2, 4, or 5, for which of the three values does the average (arithmetic mean) number of cars sold per business day, for the seven business days, equal the median number of cars sold per day for the seven days. 1. 2 11. 4 111. 5 (a) 11 only (b) 111 only (c) 1 and 11 only (d) 11 and 111 only (e) 1, 11, and 111

(B) Listed in numerical order, the given numbers are 2, 3, 4, 6, 7, and 8. If the 7th number were 2 or 4, then the numbers in numerical order would be 2, 2, 3, 4, 6, 7, and 8. In either case, the median would be 4 and the average would be (2+ 2+ 3+ 4+ 6+ 7+ 8) / 7 = 32/7 or (2+ 3+ 4+ 4+ 6+ 7+ 8) / 7 + 34/7, neither of which equals 4. So, for neither of the values in I or II does the average equal the median. If the 7th number were 5, then the numbers in numerical order would be 2, 3, 4, 5, 6, 7, and 8. The median would be 5 and the average would be (2+ 3+ 4+ 5+ 6+ 7+ 8)/7 = 35/7 = 5. Thus, for the value in III, the average equals the mean.

On a vacation, Rose exchanged $500.00 for euros at an exchanged rate of 0.80 euro per dollar and spent 3/4 of the euros she received. If she exchanged the remaining euros for dollars at an exchanged rate of $1.20 per euro. What was the dollar amount she received? (a) $60.00 (b) $80.00 (c) $100.00 (d) $120.00 (e) $140.00

(D)

List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in List T, How much greater is the average (arithmetic mean) of the integers in S than the average of the integers in T?

(D) Let the integers in S be s, s+2, s+4, ............., s+18, where s is odd. Let the integers in T be T+2, T+4 -> T+8, where T is even. Given that s=T+7. it follows that s-t=7. The average of the integers in S is 10s+90/10 =s+9, and, similarly, the average of the integers in T is 5T+20/5=T+4. The difference in these averages is (S+9) - (t+4) = (s-t) + (9-4) = 7 +5= 12. Thus the average of the integers in S is 12 greater then the average of the integers in T.

In the table above, what is the number of green marbles in Jar R? (a) 70 (b) 80 (c) 90 (d) 100 (e) 110

(D) First, set up an equation to find the total numbers of marbles in the three jars as follows: x+ y + y + z + x+ z= 80 + 120 + 160 2x + 2y +2z= 360 x+ y +z = 180 Then, since it can be seen from the table that the number of green marbles in Jar R is z, solve for z to answer the problem. To do this most efficiently, use the information from the table for Jar P, which is that x+y = 80 x+y+z = 180 80 + z = 180 z= 100 Correct answer D

The tables show a summary of the ticket sales from four performances of a certain play. What is the difference between the maximum and minimum ticket revenue from a single performance? (a) 4,000 (b) 5,100 (c) 6,200 (d) 7,000 (E) 9,600

(D) For each performance, the product of the ticket and the number of tickets sold is the ticket- sale revenue. From these values it follows that for a single performance, the maximum ticket-sale revenue is $8,000, and therefore the difference betwen these two revenues is $15,000-$8,000 =$7,000

The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $150, by what percent is the price to be reduced? (a) 10% (b) 15% (c) 20% (d) 25% (e) 30

(E)

While a family was away on vacation, they paid a neighborhood boy $11 per week o mow their lawn and $4 per day to feed and walk their dog. If the family was away for exactly 3 weeks, how much did they pay the boy for his services? (a) $45 (b) $54 (c) $71 (d) $95 (e) $117

(E)

If x> 0, (x/50) + (x/25) is what percent of x? (a) 6% (b) 25% (c) 37% (d) 60% (e) 75%

(a)

From 2002 to 2003, the number of employees at a certain company increased by a factor of 1/4. from 2003 to 2006, the number of employees at this company decreased by a factor of 1/3. If there were 100 employees at the company in 2006, how many employees were there at the company in 2000? (a) 2000 (b) 120 (c) 100 (d) 75 (e) 60

(b) Let N be the number of employees in 2000. In 2003 there were 1/4 (number in 2000) = 1/4 N more employees than in 2000, for a total of N + 1/4 N = 5/4N employees. In 2006 there were 1/3 (Number in 2003) = 1/3 (5/4) N employees. It is given that. there were 100 employees in 2006, so 5/6 N = 100, or N= 6/5 (100) = 120

A retailer purchased eggs at $2.80 per dozen and sold the eggs at 3 eggs for 0.90. What was the retailers gross profit from purchasing and selling 5 dozen eggs? (a) 0.90 (b) 2.40 (c) 4.00 (d) 11.30 (e) 12.00

(c)

As a salesperson, Phillis can choose one of the two methods of annual payment; either an annual salary of $35,000 with no commission or an annual salary of $10,000 plus a 20% commission on her total annual sale. What must her total annual sales be to give her the same annual pay with either method? (a) $100,000 (b) $120,000 (c) $125,000 (d) $130,000 (e) $132,000

(c)

Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set x. How many more integers are there in set Y than in set X? (a) 0 (b) 4 (c) 8 (d) 12 (e) 16

(c) Since the 8 consecutive integers in set X are not specified, let Set X and Set Y whose elements were obtained by adding 4 to each element of Set X and subtracting 4 from each element of set X. The elements of Set Y that are also in Set X are marked with an asterisk, There are 8 unmarked elements in Set Y, so Set Y has 8 more elements than Set X.

A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed? (a) 5% (b) 10% (c) 25% (d) 40% (e) 55% (d) (e)

(e)

If 1<x<y<z, which of the following has the greatest value? A) z(x+ 1) B) z(y+ 1) C) X( y+z) D) y(x+z) E) z( x+ y)

(e)

A certain Restaurant that regularly advertises the mail has 1,040 cover letters and 3,000 coupons in stock. In its next mailing, each envelope will contain 1 cover letter and 2 coupons. If all of the cover letters in stock are used, how many coupons will remain in stock after this mailing? (a) 920 (b) 1,040 (c) 1,500 (d) 1,960 (e) 2,080

(A)

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets that can be made using all the tulips available? (a) 3 (b) 5 (c) 8 (d) 10 (e) 13

(B)

Of the following, which is the closest to 60.2 / (1.03 X 4.86) (A) 10 (B) 12 (C) 13 (D) 14 (E) 15

(B)

(1/2 - 1/3) + (1/3 -1/4) + (1/4 - 1/5) + (1/5 -1/6) = (a) -1/6 (b) 0 (c) 1/3 (d) 1/2 (e) 2/3

(C)

Over the past 7 weeks, the Smith family had weekly grocery bills of $74, $69, $64, $79, $84, and $77. What was the Smiths' average (arithmetic mean) weekly grocery bill over the 7 week period? (a) $64 (b) $70 (c) $73 (d) $74 (e) $85

(C)

In a set of 24 cards, each card is numbered with a different positive integer from 1 to 24. One card will be drawn at random from the set. What is the probability that the card drawn will have either a number that is divisible by both 2 and 3 or a number that is divisible by 7? (a) 3/24 (b) 4/24 (c) 7/24 (d) 8/24 (e) 17/24

(C) The desired probability is N divided by 24, Where N is the number of positive integers from 1 through 24 that are either divisible by both 2 and 3 or divisible by 7. Since an integer us divisible by 6, it follows that N is the number of positive integers from 1 through 24 that are either divisible by 6 or divisible by 7. There are 4 numbers from 1 through 24 that are divisible by 6, namely 6, 12, 18 and 24. There are 3 numbers from 1 through 24 that are divisible by 7 namely 7, 14, 2. Since these numbers are all different from each other, follows that N=4+3 =7 and the desired probability is N/24 = 7/24

During a trip that they took together, Carmen, Juan, Maria and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many Miles did Rafael drive? (a) 80 (b) 82 (c) 85 (d) 87 (e) 89

(D)

Which of the following statements must be true about the average (arithmetic mean), and the median of 5 consecutive integers? I. The average is one of the integers. II. The median is one of the integers III. The median equals the average (a) I only (b) II only (c) III only (d) I and II only (e) I, II, and III

(e) If n is the least of the 5 consecutive integers then, in increasing order, the integers are n, n+1, n+2, n+3, n+4. Statement I must be true because the average of the integers is n + (n+1) + (n+2) + (n+3) + (n+4) / 5, or 5n+10/5 = n+2, and n+2 is one of the integers. Statement II must be true because the median is the middle number in the list, which is n+2, and n+2 is one of the integers. Statement III must be true because n + 2 is both the average and the median

Based on the rates above, how much would Company X charge a customer with a low-use contract for using 95 message units in a month? A) 9.30 B) 11.30 C) 12.88 D) 14.88 E) 16.18

A

Look at question 46 in the book and complete the question

A

If x is a positive integer and 4^x-3=y which of the following CANNOT be a value of y? a) 1 b) 7 c) 13 d) 61 e) 253

B

When Traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 galloons of fuel per hour. what is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel? (a) 2/3 (b) 3/4 (c) 4/5 (d) 4/3 (e) 3/2

D

A bicycle store purchased two bicycles, one for $250 and the other for $375, and solf both bicycles at a total gross profit of $250. IF the store sold one of the bicycles for $450, which of the following could be the store's gross profit from the sale of the other bicycle? A) $75 B) $100 C) $125 D) $150 E) $175

E

During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. during this time period, if Car X used exactly 3.75 galloons of fuel, how many miles did Car X Travel? a) 36 (B) 37.5 (C) 40 (D) 80 (E) 90

E

If K^2 = M^2, which of the following must be true? A) k=m b) k= -m c) k= [m] d) k = -[m] e) [k]=[m]

E

The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by A) 52.50 B) 55.00 C) 57.50 D) 62.50 E) 65.00

E

The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by A) 52.50 B) 55.00 C) 57.50 D) 62.50 E) 65.00

E

Which of the following is the closest difference, in feet, between the heights of the highest and lowest tides on July 13 at Bay Cove? Highest point is 2.2 lowest point is -0.5. A) 1.7 B) 1.9 C) 2.2 D) 2.5 E) 2.7

E

City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the radio of the population of City X to the population of City Z? a) 1/8 b) 1:4 c) 2:1 D) 4:1 E) 8:1

E Let x, y, and z be the populatiions of Cities X, Y, and Z, respectively. It is given that X=4Y, and Y=2Z or Z=y/2. Then, x/z = (4y)/ (y/2).

A certain store will order 25 crates of apples. The apples will be of three different varieties - McIntosh, Rome, and Winesap- and each crate will contain apples of only one variety. If the store is to order more crates of Winesap than crates of Rome and more crates of Winesap then McIntosh, what is the least possible number of crates of Winesap that the store will order? a) 7 b) 8 c) 9 d) 10 e) 11

c)

If (1-1.25) N=1, then N=? A) -400 B) -140 C) -4 D) 4 E) 400

C

Thabo owns exactly 140 Books, and each book is either paperback fiction, paperback nonfiction or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover nonfiction books does Thabo have? A) 10 b) 20 c) 30 d) 40 e) 50

B

A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents? (a) 3 (b) 5 (c) 7 (d) 9 (e) 11

B Let x represent the number of coins each with a face value of 25 cents. Then, since there are 16 coins in all, 16 - x represents the number of coins each with a face value of 10 cents. The total face value of the coins is $2.35 or 235 cents so, 25x +10 (16-x) = 235 given 25x + 160 - 10x= 235 15x = 160 = 235 15x = 75 x= 5 Therefore, 5 of the coins have a face value of 25 cents

If 2x+y=7 and x+2y=5, then x+y/3= A) 1 B) 4/3 C) 17/5 D) 18/5 E) 4

B. Adding the equations 2x+y=7 and x+2y=5 it gives 3x+3y=12 or x+y=4. Dividing both sides of the last equation by 3 gives (x+y)/3= 4/3

Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, What was the total price of all 11 doors? a) $320 b) $540 c) $560 d) $620 e) $680

C

If the average (arithmetic mean) of four numbers 3, 15, 32, and (N+1) is 18, then N =?? (a) 19 (b) 20' (c) 21 (D) 22 (E) 29

C

The Quotient when a certain number is divided by 2/3 is 9/2. What is the number? A) 4/27 B) 1/3 C) 3 D) 6 E) 27/4

C

A manufacturer of a certain product can expect that between 0.3 percent and 0.5 percent of units manufactures will be defective. If the retail price is $2,500 per unit ad the manufacturer offers full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units? A) Between 15,000-$25,000 B) Between 30,000-50,000 C) Between 60,000-$100,000 D) Between 150,000-250,000 E) Between 300,000-500,000

D

Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x? A) 13 B) 14 C) 15 D) 16 E) 17

D

Makoto, Nitishi, and Ozuro were paid a total of $780 for waxing the floors at their school. Each was paid in proportion to the number of hours he or she worked. If Makoto worked 15 hr, Nishi worked 20 Hours, and Ozuro worked 30 hours, how much was Makoto paid? a) $52 b) $117 c) $130 d) $180 e) $234

D

The Price of gasoline at a service station increased from $1.65 per gallon last week to $1.82 per gallon this week. Sally paid $26.40 for gasoline last week at te station. How much more will Sally pay this week at the station for the same amount of gasoline? A) 1.70 B) 2.55 C) 2.64 D) 2.72 e) 2.90

D