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Ratios & Proportion

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Ratio - Basics:
1.

If A: B = 8: 15, B: C = 5: 8 and C: D = 4: 5, then A: D is equal to:

B

A] 2: 7
B] 4: 15
C] 8: 15
D] 15: 4

2.

If 2A = 3B = 4C, then A: B: C is:

C

A] 2: 3: 4
B] 4: 3: 2
C] 6: 4: 3
D] 3: 4: 6

3.

Two numbers are in the ratio 3: 5.

C

If each number is increased by 10, the ratio becomes 5: 7
The numbers are:
A] 3, 5
B] 12, 20
C] 15, 25
D] 18, 30

4.

If a carton containing a dozen mirrors is dropped, which of the following cannot be the

C

ratio of broken mirrors to unbroken mirrors?
A] 2: 1
B] 3: 1
C] 3: 2
D] 7: 5

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Page 1

Ratios & Proportion

5.

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The speeds of three cars are in the ratio 5: 4: 6. The ratio between the times taken by them

D

to travel the same distance is:
A] 5: 4: 6
B] 6: 4: 5
C] 10: 12: 15
D] 12: 15: 10

6.

94 is divided into two parts in such a way that fifth part of first and the eighth part of the

B

second are in the ratio 3 : 4. The first part is:
A] 27
B] 30
C] 36
D] 48

7.

In a certain English class,

1
1
of the number of girls is equal to of the total number of
4
6

C

students. What is the ratio of the number of boys to the number of girls in the class?
A] 1 to 4
B] 1 to 3
C] 1 to 2
D] 2 to 3
E] 2 to 1

8.

A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6: 5: 2,

B

respectively, by weight. If 39 pounds of the mixture is prepared; the mixture includes how many more pounds of apples than grapes?
A] 15
B] 12
C] 9
D] 6
E] 4
Page 2

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Ratios & Proportion

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Word Problems:
1.

At a certain school, the ratio of the number of second graders to the number of fourth

E

graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?
A] 16 to 15
B] 9 to 5
C] 5 to 16
D] 5 to 4
E] 4 to 5

2.

In a certain calculus class, the ratio of the number of mathematics majors to the number of

D

students who are not mathematics majors is 2 to 5. If 2 more mathematics majors were to enter the class, the ratio would be 1 to 2. How many students are in the class?
A] 10
B] 12
C] 21
D] 28
E] 35

3.

The student-teacher ratio in a certain play school has to be at the most 13: 1. If there are

B

90 students in the play school, then how many teachers will be there?
A] 6
B] 7
C] 8
D] 9
E] 10

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Ratios & Proportion

4.

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An amount of $2430 is divided among A, B, and C such that if their shares be reduced by

D

$5, $10 & $15 respectively, the remainders shall be in the ratio 3: 4: 5. The share of B is:
A] $605
B] $790
C] $800
D] $810

5.

Four staff members at a certain company worked on a project. The amounts of time that

D

the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following
CANNOT be the total number of hours that the four staff members worked on the project? A] 80
B] 96
C] 160
D] 192
E] 240

6.

The ratio of two quantities is 3 to 4. If each of the quantities is increased by 5, what is the

E

ratio of these two new quantities?

3
4
8
B]
9
18
C]
19
23
D]
24
A]

E] Cannot be determined from the information

Page 4

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Ratios & Proportion

7.

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At a certain pizza outlet, a 6” pizza costs $20. If the cost of the pizza is directly

50

proportional to its size and a 12” pizza is sold for $40, find the percentage discount offered. 8.

A fruit vendor sells two types of water melons, A & B. Type A water melons have radius

A

of 6 inches and sells for $15, Type B water melons have radius of 5 inches and sells for
$10. Which one is a better buy ? (Assume the shape of the water melons to be spherical.)
A] A
B] B
C] Neither
D] Both
E] Cannot be determined

9.

If a snail can move i inches in m minutes, then how many feet can it move in h hours?

A

5hi m 60hi
B]
m hi C]
12m
5m
D]
hi
A]

E] 5him

10.

If you can buy b bananas for n nickels, how many bananas can you buy with d dimes and

A

q quarters?
A]
B]
C]
D]
E]

b
( 2d + 5q ) n b (d + q) n b
(10d + 25q ) n 10d + 25q bn d +q bn GMAT® is a registered trademark of the GMAC, which neither sponsors nor endorses this product.

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Ratios & Proportion

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Inverse Proportion:
1.

14 pumps of equal capacity can fill a tank in 6 days. If the tank has to be filled in 4 days,

A

the number of extra pumps needed is:
A] 7
B] 14
C] 21
D] 28

2.

Certain number of men can finish a piece of work in 100 days. If however, there were 10

D

men less, it would take 10 days more for the work to be finished.
How many men were there originally?
A] 75
B] 82
C] 100
D] 110

3.

If 500 pounds of mush will feed 20 pigs for a week, for how many days will 200 pounds

A

of mush feed 14 pigs?
A] 4
B] 5
C] 6
D] 7
E] 8

4.

If 9 cats can eat 9 rats in 9 minutes, then how many minutes will 6 cats take to eat 6 rats?

9 minute Page 6

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Ratios & Proportion

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Data Sufficiency:
1.

Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6: 5: 2: 2.

D

What is the number of liters of green ink that was used to create a certain batch of color X ink? (1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(2) The batch consists of 30 liters of color X ink.

2.

How many employees does Company K have now ?

C

(1) Last January the ratio of the number of male employees to the number of female employees was 2 to 3.
(2) Since last January, Company K has employed 400 new male employees and no new female employees, raising the ratio of the number of male employees to the number of female employees to 3 to 4.

3.

Certain men, women and children visited the zoo. If the number of total visitors is less

A

than 200, how many men visited the zoo?
(1) The ratio of men to women is 3: 5 and women to children is 8: 11.
(2) There were a total of 110 children visiting the zoo.

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Page 7

Ratios & Proportion

4.

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If the ratio of the number of teachers to the number of students is the same in School

E

District M and School District P, what is the ratio of the number of students in School
District M to the number of students in School District P?
(1) There are 10,000 more students in School District M than there are in School District
P.
(2) The ratio of the number of teachers to the number of students in School District M is
1: 20.

5.

A department manager distributed a number of pens, pencils, and pads among the staff in

E

the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?
(1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.
(2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.

6.

What is the ratio of 2x to 3y ?

C

(1) The ratio of x2 to y2 is equal to 36: 25
(2) The ratio of x5 to y5 is greater than 1

Page 8

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Ratios & Proportion

GMAT Tutor – officialGMAT@gmail.com

Answer Key:
Ratio – Basics:

1. B

4.

C

7.

C

2. C

5.

D

8.

B

3. C

6.

B

1. E

4.

D

7.

50

10. A

2. D

5.

D

8.

A

3. B

6.

E

9.

A

2.

D

3.

A

4.

9

1. D

4.

E

2. C

5.

E

3. A

6.

C

Word Problems:

Inverse Proportion:

1. A

Data Sufficiency:

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Page 9

Ratios & Proportion

GMAT Tutor – officialGMAT@gmail.com

Home Work:
Manhattan GMAT:

Kaplan Math Workbook:

Word Translation:

GMAT Math Bible:

Ratios

Ratios

Ratios

Ratio & Proportion

Nova:

OG 10th Edition: OG 12th Edition: OG Quant Review:

Page 10

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