NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 19:58 It is currently 25 Apr 2024, 19:58
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If 893 × 78 = p, which of the following is equal to 893 × 79?

SORT BY:
Date
Kudos
Tags:
Difficulty: Sub 505 Levelx   Arithmeticx                  
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619040 [32]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   14 Oct 2015, 21:20
5
Kudos
27
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

92% (00:41) correct 8% (00:57) wrong based on 2412 sessions
Hide Show timer Statistics
If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894


Kudos for a correct solution.
ShowHide Answer
Official Answer
D
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6820
Own Kudos [?]: 29933 [15]
Given Kudos: 799
Location: Canada
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   14 Oct 2015, 21:22
10
Kudos
5
Bookmarks
Expert Reply
Bunuel wrote:
If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894


Kudos for a correct solution.

Given: 893 x 78 = P

893 x 79 = 893 x (78 + 1)
= (893)(78) + (893)(1)
= P + 893
= D

Cheers,
Brent
User avatar
S
kreel11
Manager
Manager
Joined: 02 Feb 2016
Posts: 162
Own Kudos [?]: 18 [7]
Given Kudos: 51
Location: United States
Concentration: Finance, Technology
Schools: ISB '24 Melbourne
GMAT 1: 620 Q48 V27
Send PM
Reviews Badge
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   30 Mar 2016, 20:02
6
Kudos
1
Bookmarks
No need to do all these steps if you are clear about the concept of multiplication you can straight away mark the answer within 10 seconds. We know that any constant number multiplied by increment of 1 actually adds the same constant to the previous result. For instance 4*2 = 8
4*3 = 12 which is 8 from previous result + constant 4 which is being multiplied everytime. Multiplication is repeated addition. Hence answer is p+893
General Discussion
User avatar
L
Skywalker18
Verbal Forum Moderator
Joined: 08 Dec 2013
Status:Greatness begins beyond your comfort zone
Posts: 2101
Own Kudos [?]: 8810 [1]
Given Kudos: 171
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User Reviews Badge
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   14 Oct 2015, 22:13
1
Kudos
893x79= 893x(78+1)
= 893x 78 + 893x1
= p+ 893
Answer D
avatar
ayushi219
Intern
Intern
Joined: 01 Dec 2014
Posts: 4
Own Kudos [?]: 4 [1]
Given Kudos: 15
GMAT 1: 640 Q49 V27
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   15 Oct 2015, 00:32
1
Kudos
Given: 893 * 78 = p;

To Find: 893 * 79?

893 * 78 = p ---- Eq. 1
893 * 79 = 893 * (78+1) = 893*78 + 893*1 ---Eq. 2 Substituting Eq 1 in Eq 2 (893*78=p)
Hence,
p+893

Answer D; p+893
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10161
Own Kudos [?]: 16598 [2]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   15 Oct 2015, 01:16
2
Kudos
Expert Reply
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.



If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894




Since 893 × 78 = p and 79=78+1, we have 893 × 79 = 893 ×(78+1)=893×78 + 893 ×1 = p + 893.

The answer is (D).
avatar
Mun20
Intern
Intern
Joined: 24 Jul 2015
Posts: 12
Own Kudos [?]: 5 [1]
Given Kudos: 24
Send PM
GMAT ToolKit User
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   15 Oct 2015, 20:33
1
Kudos
893*78=p (given)
893*79 = 893*(78+1)
78=p/893
893*(p/893+1)
=p+893
User avatar
S
kreel11
Manager
Manager
Joined: 02 Feb 2016
Posts: 162
Own Kudos [?]: 18 [1]
Given Kudos: 51
Location: United States
Concentration: Finance, Technology
Schools: ISB '24 Melbourne
GMAT 1: 620 Q48 V27
Send PM
Reviews Badge
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   30 Mar 2016, 20:02
1
Kudos
No need to do all these steps if you are clear about the concept of multiplication you can straight away mark the answer within 10 seconds. We know that any constant number multiplied by increment of 1 actually adds the same constant to the previous result. For instance 4*2 = 8
4*3 = 12 which is 8 from previous result + constant 4 which is being multiplied everytime. Multiplication is repeated addition. Hence answer is p+893
avatar
B
FANewJersey
Intern
Intern
Joined: 01 May 2017
Posts: 28
Own Kudos [?]: 46 [1]
Given Kudos: 40
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   09 Apr 2018, 07:45
1
Bookmarks
User avatar
B
longhaul123
Manager
Manager
Joined: 03 Jul 2017
Status:IF YOU CAN DREAM IT, YOU CAN DO IT
Posts: 147
Own Kudos [?]: 33 [0]
Given Kudos: 27
Location: India
Concentration: Finance, International Business
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   06 May 2018, 06:13
I have a doubt in Option E
So P+894= 893*78+894 = (893*78)+ (893+1)=893(78+1)=893*79
Im sure that there is some mistake with the method that i followed above but Im not understanding where am i going wrong because if you back solve from the above method 893(78+1)=893*78+893. Can someone help ?
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6820
Own Kudos [?]: 29933 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   06 May 2018, 13:40
Expert Reply
Top Contributor
longhaul123 wrote:
I have a doubt in Option E
So P+894= 893*78+894 = (893*78)+ (893+1)=893(78+1)=893*79
Im sure that there is some mistake with the method that i followed above but Im not understanding where am i going wrong because if you back solve from the above method 893(78+1)=893*78+893. Can someone help ?


There's a problem where you get 893(78+1)=893*79

You are correct to say that P+894= 893*78+894 = (893*78)+ (893+1)
However, the next step cannot be the one you took
You are treating (893+1) as though it were (893*1)

Notice that if we have (893*78)+ (893*1), then we can factor out the 893 to get: (893*78)+ (893*1) = 893(78 + 1)
However, If we have (893*78) + (893+1), we cannot factor out the 893 (as I did above)

Does that help?

Cheers,
Brent
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22054 [1]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   27 Sep 2018, 17:27
1
Kudos
Expert Reply
Bunuel wrote:
If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894


We are given that 893 x 78 = p and need to determine, in terms of p, the value of 893 x 79.

893 x 79 can be expressed as: 893 x (1 + 78) = 893 + 893 x 78.

Since p = 893 x 78, we can substitute p for 893 x 78 in the expression 893 + 893 x 78.

Thus, 893 x 79 = 893 + p

Alternate Solution:

The multiplication 893 x 78 means that we add 893 a total of 78 times, and this sum is equal to p. Now if we perform the multiplication problem 893 x 79, it means that we will add one more 893 to the previous sum, so we have p + 893 as our answer.

Answer: D
User avatar
D
KSBGC
VP
VP
Joined: 31 Oct 2013
Posts: 1260
Own Kudos [?]: 1155 [1]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   28 Sep 2018, 06:54
1
Kudos
Bunuel wrote:
If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894


Kudos for a correct solution.



what's the difference between 893 x 78 and 893 x 79.

In 893 x 79, 893 was counted once more.

It means , 893 x 78 + 893 = p + 893.

The best answer is D.
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3964 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   18 Sep 2019, 09:44
Bunuel wrote:
If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894


Kudos for a correct solution.


If 893 × 78 = p, which of the following is equal to 893 × 79?

893*78 = p
893*79 = 893*(78+1) = 893*78 + 893 = p + 893

IMO D
avatar
B
sahuanamika
Intern
Intern
Joined: 22 May 2021
Posts: 49
Own Kudos [?]: 18 [0]
Given Kudos: 108
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   08 Jun 2021, 09:10
No need of multiplying , this is a simple table concept:
For example in table of 5 :

5*2 = 10
5*3 = 15 i.e 10+5 , we add 5 each time to get the result.
Same concept can be applied here :
893 × 78 = p,
893 × 79 = p+ 893 as this is the table of 893 we have increased the multiplier from 78 to 79 so simply adding 893 to the final result.

Option D
avatar
B
sushi600
Intern
Intern
Joined: 17 Sep 2021
Posts: 13
Own Kudos [?]: 1 [0]
Given Kudos: 26
Send PM
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   03 Dec 2021, 13:22
ScottTargetTestPrep wrote:
Bunuel wrote:
If 893 × 78 = p, which of the following is equal to 893 × 79?

(A) p + 1
(B) p + 78
(C) p + 79
(D) p + 893
(E) p + 894


We are given that 893 x 78 = p and need to determine, in terms of p, the value of 893 x 79.

893 x 79 can be expressed as: 893 x (1 + 78) = 893 + 893 x 78.

Since p = 893 x 78, we can substitute p for 893 x 78 in the expression 893 + 893 x 78.

Thus, 893 x 79 = 893 + p

Alternate Solution:

The multiplication 893 x 78 means that we add 893 a total of 78 times, and this sum is equal to p. Now if we perform the multiplication problem 893 x 79, it means that we will add one more 893 to the previous sum, so we have p + 893 as our answer.

Answer: D


Is there a way of solving this question without having to recognize or memorize the table of 893?
User avatar
B
rightday1121
Intern
Intern
Joined: 10 Nov 2021
Status:To Apply Soon for Business Schools
Posts: 21
Own Kudos [?]: 17 [0]
Given Kudos: 492
Send PM
Forum Quiz Mode
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink] New post   02 Jun 2023, 05:43
Very interesting question.

Given: 893 x 78 = P

893 x 79 = 893 x (78 + 1)

Using the distributive property:
= (893)(78) + (893)(1)
= P + 893 [P stands for 893*78]
= D
GMAT Club Bot
gmatclubot
Re: If 893 × 78 = p, which of the following is equal to 893 × 79? [#permalink]
02 Jun 2023, 05:43
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions