GMAT Changed on April 16th - Read about the latest changes here

It is currently 24 Apr 2018, 03:18

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44623
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 21 Jun 2017, 00:44
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (00:33) correct 15% (00:37) wrong based on 72 sessions

HideShow timer Statistics

In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Director
Director
User avatar
P
Joined: 04 Dec 2015
Posts: 696
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User CAT Tests
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 21 Jun 2017, 00:49
1
This post received
KUDOS
Bunuel wrote:
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70


Let \(∠C = x\)

\(∠B = x + 10\)

\(∠A = x + 10 + 10 = x + 20\)

\(∠A + ∠B + ∠C = 180\)

\(x + 20 + x + 10 + x = 180\)

\(3x + 30 = 180\)

\(3x = 180 - 30 = 150\)

\(x = 150/3 = 50\)

\(∠C = 50\)

\(∠B =x + 10 = 50 + 10 = 60\) . Answer (D) ...
SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1561
Premium Member CAT Tests
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 21 Jun 2017, 11:16
Bunuel wrote:
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70

Define all angles in terms of ∠B (= b, ∠A = a, ∠C = c).

Quote:
∠A is 10 degrees greater than ∠B

a = b + 10
Quote:
∠B is 10 degrees greater than ∠C

b = c + 10, or

c = b - 10

a + b + c = 180, substitute values in bold type

(b + 10) + b + (b - 10) = 180

3b = 180

b = 60
Answer
[Reveal] Spoiler:
D

_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

1 KUDOS received
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2439
Location: India
GPA: 3.12
Premium Member CAT Tests
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 21 Jun 2017, 13:35
1
This post received
KUDOS
The sum of all the angles in a triangle is 180 Degree.
If the three angles have to differ by 10 and add to 180,
the only possibility(with a difference of 10) is when the three angles are 50,60 and 70.

Since ∠B is 10 degree greater than ∠C and 10 degree smaller than ∠A, it must be 60(Option D)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Manager
Manager
avatar
B
Joined: 05 Nov 2014
Posts: 115
Location: India
Concentration: Strategy, Operations
GMAT 1: 580 Q49 V21
GPA: 3.75
Reviews Badge CAT Tests
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 21 Jun 2017, 18:36
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70

Solution:
Given:
a=b+10
b=c+10
Also, we know
a+b+c=180.----eq (1)

Therfore subsitute the value of a and c in the eq(1)
we ger
b+10+b+b-10=180.
3b=180.
b=60.

So Option D
Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5776
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 21 Jun 2017, 19:51
Bunuel wrote:
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70



Hi,

Here actually difference of 10 doesn't matter. Any difference but similar would give us SAME answer as 60.. WHY?

The three angles differ by certain amount so they are in AP and central angle B would be the MEAN
So 3*B =180..... B=60
D
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


GMAT online Tutor

DS Forum Moderator
avatar
G
Joined: 22 Aug 2013
Posts: 1031
Location: India
Premium Member CAT Tests
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 21 Jun 2017, 21:19
If all three angles are equal: 60, 60, 60

If the three angles are in Arithmetic Progression with a difference of 10: 50, 60, 70

So the central angle is 60 only. Hence D answer
Director
Director
User avatar
P
Joined: 13 Mar 2017
Posts: 603
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 22 Jun 2017, 04:50
Bunuel wrote:
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70


Let the /_C = x
So, /_ B = x +10
/_ A = x +20

A + B + C = x+20 + x +10 +x = 180
-> 3x +30 = 180
-> x= 150/3 = 50

So, /_B = 50 +10 = 60

Answer D
_________________

CAT 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3399
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 22 Jun 2017, 08:09
Bunuel wrote:
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70


Let the value of \(∠A = a°\) , \(∠B = b°\) and \(∠C = c°\)

We know, \(∠A + ∠B + ∠C = 180°\) Or, \(a° + b° + c° = 180°\)
Quote:
∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C


Value of \(∠B\) = \(( c° + 10° )\)
Value of \(∠A\) = \(( b° + 10° )\) => \(( c° + 10° ) + 10°\) = \(c° + 20°\)
Value of \(∠C\) = c°

Now, \((c° + 20°)\) + \(( c° + 10° )\) + \(c°\) = \(180°\)

Or, \(3c° + 30° = 180°\)

Or, \(3c° = 150°\)

So, c° = 50°

Now, as Value of \(∠B\) = \(( c° + 10° )\) = \(60°\)

Thus, answer will be (D) 60°
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2298
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 24 Jun 2017, 08:34
Bunuel wrote:
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is

(A) 30
(B) 40
(C) 50
(D) 60
(E) 70


We can let angle C = x, angle B = 10 + x, and angle A = 20 + x. Since there are 180 degrees in a triangle, we have:

x + x + 10 + x + 20 = 180

3x + 30 = 180

3x = 150

x = 50

Thus, angle B is 50 + 10 = 60 degrees.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

VP
VP
User avatar
P
Status: Learning
Joined: 20 Dec 2015
Posts: 1124
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: 314 Q157 V157
GPA: 3.4
WE: Manufacturing and Production (Manufacturing)
CAT Tests
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 24 Jun 2017, 09:25
IMO D
A+B+C=180
B+10+B+B-10=180
3B=180
B=60
_________________

Please give kudos if you found my answers useful

Intern
Intern
avatar
B
Joined: 11 Mar 2015
Posts: 27
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree [#permalink]

Show Tags

New post 16 Dec 2017, 03:21
Here,<A+<B+<C=180 and B=C+10, A=B+10=>A=C+10+10 =>A=C+20
Hence, C+20+C+10+C=180
C=150/3=50

Therefore, B=50+10=60 Answer: D
Re: In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree   [#permalink] 16 Dec 2017, 03:21
Display posts from previous: Sort by

In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degree

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.