GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 04 Aug 2020, 10:08 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Each entry in the multiplication table above is an integer that is eit

Author Message
TAGS:

### Hide Tags

Senior Manager  P
Joined: 04 Sep 2017
Posts: 318
Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

2
1
23 00:00

Difficulty:   95% (hard)

Question Stats: 43% (02:02) correct 57% (01:50) wrong based on 405 sessions

### HideShow timer Statistics Each entry in the multiplication table above is an integer that is either positive, negative, or zero. What is the value of a ?

(1) h ≠ 0
(2) c = f

DS95850.01

Attachment: 2019-09-22_0607.png [ 8.3 KiB | Viewed 3520 times ]
Director  D
Joined: 08 Aug 2017
Posts: 763
Re: Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

5
2
h= b*c
h is not equal to zero so neither b nor c is zero.
but this doesn't tell about a.
not sufficient.

Statement-2
c=f
a*c= f
this expression can hold if c=f=0
a can have any value.
and If C=F= any value, a is always 1.
not sufficient

Statement 1+2
value of c is except zero.
and for these value, a is always 1.

##### General Discussion
Manager  G
Joined: 29 Oct 2015
Posts: 247
Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

2
1
1
gmatt1476 wrote: Each entry in the multiplication table above is an integer that is either positive, negative, or zero. What is the value of a ?

(1) h ≠ 0
(2) c = f

DS95850.01

Attachment:
2019-09-22_0607.png

First, the significance of multiplication table needs to be understood.
This is like a 3*3 matrix and results in the following products ,
a^2 = d
a*b = e
a*c = f
a*b = e
b^2 = g
b*c = h
c*a = f
c*b = h
c^2 = j

Now statement 1 says ,
h is not equal to 0.
That means neither b nor c equals zero as b*c = h;
But we cant tell anything about a.

Statement 2 says , c =f
a*c = f
a*c = c
c*(a-1) = 0
Now a can be equal to 1 or c can be equal to 0 .
So a can be equal to 1 or a may not be equal to 1 .
Not sufficient.

Together ,
c *(a-1) = 0
From statement h not equal to zero means c is not equal to zero.
If c is not equal to zero then (a-1) = 0 ( As we can divide the zero by c which is a non zero quantity )
Hence , a = 1
So option C is the answer.

Please give me KUDO s if you liked my explanation.
VP  V
Joined: 18 Dec 2017
Posts: 1418
Location: United States (KS)
GMAT 1: 600 Q46 V27 Re: Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

Bunuel

Can you help me with this question?

1. I got confused by what the table is. The "x" on the top left corner: I read it as x and not multiplication.

2. Even if I go past point 1, I am still not sure on how to approach this question.
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Why You Don’t Deserve A 700 On Your GMAT

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Manager  G
Joined: 29 Oct 2015
Posts: 247
Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

TheNightKing wrote:
Bunuel

Can you help me with this question?

1. I got confused by what the table is. The "x" on the top left corner: I read it as x and not multiplication.

2. Even if I go past point 1, I am still not sure on how to approach this question.

Hey TheNightKing ,
Please refer to my explanation above. Please let me know if you have any doubt.
VP  V
Joined: 18 Dec 2017
Posts: 1418
Location: United States (KS)
GMAT 1: 600 Q46 V27 Re: Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

Quote:
Hey TheNightKing ,
Please refer to my explanation above. Please let me know if you have any doubt.

Thank you Sir. Since you wrote each of the multiplications explicitly it became easier to see what's happening.
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Why You Don’t Deserve A 700 On Your GMAT

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Intern  B
Joined: 30 Jun 2018
Posts: 7
Re: Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

Hey sayan
I am not able to understand the login behind the multiplication results explanations
SVP  D
Joined: 24 Nov 2016
Posts: 1722
Location: United States
Re: Each entry in the multiplication table above is an integer that is eit  [#permalink]

### Show Tags

1
gmatt1476 wrote: Each entry in the multiplication table above is an integer that is either positive, negative, or zero. What is the value of a ?

(1) h ≠ 0
(2) c = f
DS95850.01

any letter is an integer positive, negative or zero

(1) insufic
bc=h≠0, so (b,c,h) are not 0
no info about a or d

(2) insufic
c=f, ac=f, ac=c, ac=c
c=0, then, a=anything
a=1, then, c=anything

(1/2) sufic
c≠0, thus,
a=1, then, c=anything≠0

Ans (C) Re: Each entry in the multiplication table above is an integer that is eit   [#permalink] 09 Jun 2020, 06:24

# Each entry in the multiplication table above is an integer that is eit  