## LCM and GCD Exercises Set 2

Here are some Civil Service exam exercises on GCD and LCM.

1.) What is the GCD of 8, 20, and 28?

2.) What is the GCD of 21, 35, and 56?

3.) What is 18/54 in lowest terms?

4.) What is 38/95 in lowest terms?

5.) What is the LCM of 6 and 8?

6.) What is the LCM of 5, 6, and 12?

7.) What is the product of the LCM and the GCD of 4, 8, and 20?

8.) There are 18 red marbles and 27 blue marbles to be distributed among children. What is the maximum number of children that can receive the marbles if each kid receives the same number of marbles for each color and no marble is to be left over?

9.) In a school sportsfest, there are 60 Grade 4 pupils, 48 Grade 5 pupils and 36 Grade 6 pupils. What is the largest number of teams that can be formed if the pupils in each Grade level are equally distributed and no pupil is left without a team?

10.) In a disco, the red lights blink every 3 seconds and the blue lights blink every 5 seconds. If the two colored lights blink at the same time if you turn them on, they will blink at the same time every ___ seconds.

Answers:

1.) Answer: 4
Solution:
Divisors of 8 – 1, 2, 4, 8
Divisors of 20 – 1, 2, 4, 5, 10, 20
Divisors of 28 – 1, 2, 4, 7, 14, 28

2.) Answer: 7
Solution:
Divisors of 21 – 1, 3, 7, 21
Divisors of 35 -1, 3, 5, 7, 35
Divisors of 56 -1, 2, 7, 8, 14, 28, 56

3.) Answer: 1/3
Note: Reducing fractions to lowest terms is one of the applications of GCD.
Solution:
Divisors of 18 – 1, 2, 6, 9, 18
Divisors of 54 – 1, 2, 3, 9, 18, 27, 54
Numerator = 18 divided by 18 (GCD) = 1
Denominator = 54 divided by 18 (GCD) = 3
Final answer: 1/3

4.) Answer: 2/5
Solution:
Divisors of 38 – 1, 2, 19, 38
Divisors of 95 – 1, 2, 3, 19, 95

5.) Answer: 24.
Solution:
Multiples of 6 – 6, 12, 18, 24
Multiples of 8 – 8, 16, 24

6.) Answer: 60.
Solution:
Multiples of 5 – 5, 10, 15, 20, 25, 30 … 55, 60
Multiples of 6 – 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 12 – 12, 24, 36, 48, 60

7.) Answer: 160.
Solution
GCD of 4, 6, and 20 is 4.
LCM of 4, 6, and 20 is 40.
4 x 40 = 160.

8.) Answer: 9
Solution:
Divisors of 18 – 1, 2, 3, 6, 9, 18
Divisors of 27 – 1, 2, 3, 9, 27

9.) Answer: 12.
Solution:
Divisors of 60 – 1, 2, 3, 4, 5, 6, 10, 12, 20, 30, 60
Divisors of 36 – 1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 48 – 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

10.) Answer: 15 seconds.
Solution
LCM of 3 and 5 is 15

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## 2018 PCSR Civil Service Review Guide 15

2018 PCSR Civil Service Review Guide 15
Week 15: January 8 – 14, 2018

PART I: MATHEMATICS

A. MOTION PROBLEM
Youtube Tutorial Videos (Taglish)

Lesson 1: Introduction to Motion Problems
Lesson 2: How to Solve Motion Problems Part 1
Lesson 3: How to Solve Motion Problems Part 2
Lesson 4: How to Solve Motion Problems Part 3
Lesson 5: How to Solve Motion Problems Part 4
Lesson 6: How to Solve Motion Problems Part 5

B. Articles

Article 1: Introduction to Motion Problems
Article 2: How to Solve Motion Problems Part 1
Article 3: How to Solve Motion Problems Part 2
Article 4: How to Solve Motion Problems Part 3
Article 5: How to Solve Motion Problems Part 4

PART II: ENGLISH

Part III: CLERICAL (Sub-Professional)
A. Spelling

PART IV: OTHERS
4 Things to do 3 Months Before the Exam

MORE REVIEWERS
1. Math English Tutorials and more at the PCSR Civil Service Review website:
http://civilservicereview.com
2. More than 700 Taglish Math Tutorials at the Sipnayan Youtube channel:
https://www.youtube.com/user/sipnayanph
3. Sipnayan Website
http://sipnayan.com
Like our Facebook Pages and be updated:
PCSR Facebook Page: https://web.facebook.com/phcivilservicereviewer/
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## 2018 PCSR Civil Service Review Guide 11

2018 PCSR Civil Service Review Guide 11
Week 11: December 4 – December 10, 2017

PART I: MATHEMATICS

A. PATTERNS and Sequences
Youtube Tutorial Videos (Taglish)

A. Videos
Number Sequence and Series Part 1

Number Sequence and Series Part 2

Number Sequence and Series Part 3

Number Sequence and Series Part 4

B. Articles

A Teaser on Answering Number Series Questions

How to Solve Civil Service Exam Number Series Problems 1

How to Solve Civil Service Exam Number Series Problems 2

How to Solve Civil Service Exam Number Series Problems 3

How to Solve Civil Service Exam Number Series Problems 4

PART II: ENGLISH
A. Vocabulary

B. Spelling

Part III: CLERICAL (Sub-Professional)
Alphabetizing Rules Part 11 with exercises

MORE REVIEWERS
1. Math English Tutorials and more at the PCSR Civil Service Review website:
http://civilservicereview.com

2. More than 700 Taglish Math Tutorials at the Sipnayan Youtube channel:
https://www.youtube.com/user/sipnayanph

3. Sipnayan Website
http://sipnayan.com

Like our Facebook Pages and be updated:

PCSR Facebook Page: https://web.facebook.com/phcivilservicereviewer/
Sipnayan Facebook Page:
https://web.facebook.com/sipnayanph/

## 2018 PCSR Civil Service Review Guide 10

2018 PCSR Civil Service Review Guide 10
Week 10: November 27 – December 3, 2017

PART I: MATHEMATICS
A. PEMDAS

PART I: MATHEMATICS

PEMDAS and ORDER of OPERATIONS

A. Youtube Tutorial Videos (Taglish)

Introduction to PEMDAS

PEMDAS Order of Operations 1

PEMDAS Order of Operations 2

PEMDAS Order of Operations 3

More video

Introduction to PEMDAS

B. Articles

PEMDAS and Order of Operations

PEMDAS Practice Test

PEMDAS Practice Test Answer

PART II: ENGLISH

A. Grammar

How to Answer Word Analogy Questions Part 1

How to Answer Word Analogy Questions Part 2

How to Answer Word Analogy Questions Part 3

B. Spelling

Part III: CLERICAL (Sub-Professional)

Alphabetizing Rules Part 10 with exercises

MORE REVIEWERS

1. Math English Tutorials and more at the PCSR Civil Service Review website:

http://civilservicereview.com

2. More than 700 Taglish Math Tutorials at the Sipnayan Youtube channel:

https://www.youtube.com/user/sipnayanph

3. Sipnayan Website

http://sipnayan.com

Like our Facebook Pages and be updated:

PCSR Facebook Page: https://web.facebook.com/phcivilservicereviewer/

Sipnayan Facebook Page:
https://web.facebook.com/sipnayanph/

## 2018 PCSR Civil Service Review Guide 9

2018 PCSR Civil Service Review Guide 9
Week 9: November 20 – November 26, 2017

PART I: MATHEMATICS
A. MULTIPLICATION/DIVISION OF INTEGERS

Youtube Tutorial Videos (Taglish)

Multiplication of Integers

How to Multiply Integers Part 1

How to Multiply Integers Part 2

How to Multiply Integers Part 3

Division of Integers

How to Divide Integers Part 1

How to Divide Integers Part 2

How to Divide Integers Part 3

Tutorial Articles

How to Multiply Signed Numbers (Positive and Negative Integers)

Practice Exercises on Multiplying Signed Numbers

Solutions to Practice Exercises on Multiplying Signed Numbers

How to Divide Positive and Negative Integers

Practice Test on Dividing Positive and Negative Integers

Solution to Practice Quiz on Dividing Positive and Negative Integers

PART II: ENGLISH

B. Grammar

How to Use the Articles A, An, and The

When to Use the Personal Pronouns I and Me

C. Spelling

Part III: CLERICAL (Sub-Professional)

Alphabetizing Rules Part 9 with exercises

PART IV: LOGIC

Patterns, Sequences, and Series Exercise

MORE REVIEWERS

1. Math English Tutorials and more at the PCSR Civil Service Review website:

http://civilservicereview.com

2. More than 700 Taglish Math Tutorials at the Sipnayan Youtube channel:

https://www.youtube.com/user/sipnayanph

3. Sipnayan Website

http://sipnayan.com

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## Civil Service Review Spelling Quiz 11 – Set 2

In each item, identify the word with incorrect spelling.

Item 01

a. vindictive
b. inscite
c. magically
d. turpitude
e. fiery

Item 02

a. vindictive
b. sensitive
c. hervibore
d. pacify
e. merciful

Item 03

a. concensus
b. chromosomes
c. landscape
d. bureau
e. paranoid

Item 04

a. taxation
b. situational
c. garrulous
d. belief
e. magazene

Item 05

a. breach
b. quarrel
c. perceived
d. supperb
e. shrivel

Item 06

a. obssession
b. eternity
c. magnificent
d. inquiries
e. gratuity

Item 07

a. mechanical
b. irrelevent
c. persistence
d. maintenance
e. medieval

Item 08

a. compatible
b. frequency
c. memento
d. rhythym
e. assurance

Item 09

a. dilemma
b. incessant
c. innocent
d. pneumonia
e. pronounciation

Item 10

a. accompany
b. phenomenon
c. collossal
d. pegeant
e. pronunciation

Answers:

1. b – insight
2. c – herbivore
3. a – consensus
4. e – magazine
5. d – superb
6. a – obsession
7. b – irrelevant
8. d – rhythm
9. e – pronunciation
10. c – colossal

## PCSR Full and Detailed Solution for Math Problems

This is the for the Full Solution for Math Problems on PCSR Booklet version 1.0. The booklet is sold for Php360.00 inclusive of shipping fee. For inquiries, send a message to the PCSR Facebook page.

DVDs containing Tagalog Math Tutorial videos are also being sold at Php300.00 per copy. Like the PCSR Facebook page to see promos and discounts.

## Rules in Alphabetic Filing Part 11

In the previous post we have learned how todeal with letters that are used together to form a name. In this post, we’ll learn how to file names with numbers.

Rule 11:

I. Numeric names are always filed as though spelled out.
II. Numbers of more than two digits are given their proper numeric value.

Consider the following examples:

1 Happy Market
A 7 Driving School
9th Flr. Bar
456 Repair Shop
3229 Bldg.

They are filed by unit as:

A Seven Driving School
Four Hundred Fifty Six Repair Shop (NOT Four Five Six Repair Shop)
Ninth Flr. Bar
One Happy Market
Three Thousand Two Hundred Twenty Nine Building (NOT Three Two Two Nine Building)

Now, try these following exercise:

Exercise 1

B 6 Online Shop
7 Up Computer Shop
88 Single Club
S 28 Salon
3rd Flr. Spa

Exercise 2

3 Sisters Cosmetics
20th St. Food Hauz
A 4 Paper Mills
1224 Computer Hub
1001 Book Club

Exercise 3

Straight 888 Lending Co.
37th Bldg.
100 Smart Club
22 Electronics
500 Bees Pure Honey Co.

Answer to Exercise 1

B Six Online Shop
Eighty Eight Single Club
S Twenty Eight Salon
Seven Up Computer Shop
Third Flr. Spa

Answer to Exercise 2

A Four Paper Mills
One Thousand One Book Club
One Thousand Two Hundred Twenty Four Computer Hub
Three Sisters Cosmetics
Twentieth St. Food Hauz

Answer to Exercise 3

Five Hundred Bees Pure Honey Company
One Hundred Smart Club
Straight Eight Hundred Eighty Eight Lending Company
Thirty Seventh Building
Twenty Two Electronics

1 2 3 4