It is currently 22 Feb 2024, 15:25 |

Customized

for You

Track

Your Progress

Practice

Pays

- Feb
**15**### Head over heels for INSEAD, HEC Paris, or IMD?

04:00 PM EST

-11:00 PM EDT

You’ll LOVE this deal – 20% off J-Term Application Packages! (Valid through 17 March 2024). Upon initial inquiry (phone or online), reference GMAT Club code GMATClub20, and the discount will automatically be applied. - Feb
**22**### Key Components for a Strong Deferred MBA Application

10:00 AM EST

-10:30 AM EST

Inviting all deferred MBA applicants!!! Mark your calendar on February 22nd to join Susan Berishaj, founder of Sia Admissions, where she will discuss the art of crafting a compelling deferred MBA application submission. - Feb
**27**### How to Choose the Right MBA Program for You!

08:00 PM EST

-09:00 PM EST

How can you find the best fit? On February 27, join mbaMission’s experts to learn the differences that exist among top MBA programs.

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4806**

WE:**Business Development (Energy and Utilities)**

QOTD#29 If the smallest angle of a triangle measures 45
[#permalink]
31 May 2017, 06:31

1

Expert Reply

1

Bookmarks

Question Stats:

If the smallest angle of a triangle measures 45 degrees, which of the following could be the ratio of the three angles of the triangle?

Indicate the all the options possible

A. 2:3:3

B. 3:4:5

C. 3:5:7

D. 9:10:17

E. 9:11:13

F. 15:17:18

_________________

Indicate the all the options possible

A. 2:3:3

B. 3:4:5

C. 3:5:7

D. 9:10:17

E. 9:11:13

F. 15:17:18

Drill 2

Question: 9

Page: 342

Question: 9

Page: 342

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: QOTD#29 If the smallest angle of a triangle measures 45
[#permalink]
14 Jun 2017, 23:22

1

1

Fixed!

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4806**

WE:**Business Development (Energy and Utilities)**

Re: QOTD#29 If the smallest angle of a triangle measures 45
[#permalink]
02 Jul 2017, 14:44

1

Expert Reply

Explanation

The first part of each ratio represents 45 degrees.

For choice(A), the multiplier will be 45 divided by 2, or 22.5. The ratio adds up to 8 (2 + 3 + 3), so check that 8 × 22.5 = 180. It does, so choice (A) works.

For choice (B), based on 3 representing 45 degrees, the multiplier is 15. The ratio adds up to 12, and 12 × 15 = 180, so this choice works as well.

Using this approach, choice (C) does not work: The multiplier is again 15, but 15 × 15 does not equal 180.

Choice (D) works, with a multiplier of 5: 5 × 36 = 180. When you test the remaining two choices, neither one produces the 180 degrees you need for the triangle, so eliminate them.

Hence options A, B and D are correct!

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

The first part of each ratio represents 45 degrees.

For choice(A), the multiplier will be 45 divided by 2, or 22.5. The ratio adds up to 8 (2 + 3 + 3), so check that 8 × 22.5 = 180. It does, so choice (A) works.

For choice (B), based on 3 representing 45 degrees, the multiplier is 15. The ratio adds up to 12, and 12 × 15 = 180, so this choice works as well.

Using this approach, choice (C) does not work: The multiplier is again 15, but 15 × 15 does not equal 180.

Choice (D) works, with a multiplier of 5: 5 × 36 = 180. When you test the remaining two choices, neither one produces the 180 degrees you need for the triangle, so eliminate them.

Hence options A, B and D are correct!

_________________

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Retired Moderator

Joined: **09 Jan 2021 **

Posts: **576**

GPA: **4**

WE:**Analyst (Investment Banking)**

QOTD#29 If the smallest angle of a triangle measures 45
[#permalink]
04 Mar 2021, 09:57

1

Solution:

This question took me around 5 mins to crack. For me, it's definitely not an easy one.

So, as we know the smallest angles is 45 and the sum of all angles of triangle=180.

Thus, the other 2 angles should have a sum of 180-45=135

Therefore, the \(\frac{ratio of the two sides}{ smallest side}=\frac{135}{45}=\frac{3}{1}

\)

From the above ratio, the sides of the triangles will also be in the same ratio.

For eg. consider option A: the smallest side has to be 2 and the sum of other two sides=6

Thus , the ratio will be\( \frac{6}{2}=\frac{3}{1}

\)

Similarly when we try for other options, Option B and D satisfies the condition

IMO A, B & D

Hope this helps

This question took me around 5 mins to crack. For me, it's definitely not an easy one.

So, as we know the smallest angles is 45 and the sum of all angles of triangle=180.

Thus, the other 2 angles should have a sum of 180-45=135

Therefore, the \(\frac{ratio of the two sides}{ smallest side}=\frac{135}{45}=\frac{3}{1}

\)

From the above ratio, the sides of the triangles will also be in the same ratio.

For eg. consider option A: the smallest side has to be 2 and the sum of other two sides=6

Thus , the ratio will be\( \frac{6}{2}=\frac{3}{1}

\)

Similarly when we try for other options, Option B and D satisfies the condition

IMO A, B & D

Hope this helps

Retired Moderator

Joined: **16 Apr 2020 **

Status:**Founder & Quant Trainer**

Affiliations: **Prepster Education**

Posts: **1546**

Location: **India**

WE:**Education (Education)**

Re: QOTD#29 If the smallest angle of a triangle measures 45
[#permalink]
04 Mar 2021, 10:50

1

sandy wrote:

If the smallest angle of a triangle measures 45 degrees, which of the following could be the ratio of the three angles of the triangle?

Indicate the all the options possible

A. 2:3:3

B. 3:4:5

C. 3:5:7

D. 9:10:17

E. 9:11:13

F. 15:17:18

Indicate the all the options possible

A. 2:3:3

B. 3:4:5

C. 3:5:7

D. 9:10:17

E. 9:11:13

F. 15:17:18

A. \(2x + 3x + 3x = 180\)

\(x = \frac{180}{8} = 22.5\)

22.5 x 2 = 45

B. \(3x + 4x + 5x = 180\)

\(x = \frac{180}{12} = 15\)

15 x 3 = 45

C. \(3x + 5x + 7x = 180\)

\(x = \frac{180}{15} = 12\)

Cannot make 45

D. \(9x + 10x + 17x = 180\)

\(x = \frac{180}{36} = 5\)

9 x 5 = 45

E. \(9x + 11x + 13x = 180\)

\(x = \frac{180}{33} = 5.45\)

Cannot make 45

F. \(15x + 17x + 18x = 180\)

\(x = \frac{180}{8} = 3.6\)

Cannot make 45

Hence, A, B and D

_________________

I hope this helps!

Regards:

Karun Mendiratta

Founder and Quant Trainer

Prepster Education, Delhi, India

https://www.instagram.com/prepster_education/

Regards:

Karun Mendiratta

Founder and Quant Trainer

Prepster Education, Delhi, India

https://www.instagram.com/prepster_education/

Re: QOTD#29 If the smallest angle of a triangle measures 45
[#permalink]
08 Oct 2022, 19:29

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

gmatclubot

Moderators:

Multiple-choice Questions — Select One or More Answer Choices |
||

## Hi Guest,Here are updates for you: |