It is currently 18 Jan 2022, 03:12 |

Customized

for You

Track

Your Progress

Practice

Pays

- Jan
**22**### TTP helped Brian score 338 on the GRE

06:00 PM EST

-08:00 PM EST

Studying for the GRE is no easy task, especially while serving in the military, but with the help of TTP, Brian scored an impressive 338 (169Q/169V) on his GRE. See for yourself why we’re changing the way students study for the GRE. - Jan
**23**### Greenlight Test Prep Free Content

08:00 PM PST

-09:00 PM PST

Greenlight Test Prep - Free Content Regardless of whether you choose to study with Greenlight Test Prep, I believe you'll benefit from my many free resources. - Jan
**23**### Free GRE Prep Hour with Manhattan Prep

08:00 PM EST

-09:00 PM EST

Strategies and techniques for approaching featured GRE topics, 1-hour of live, online instruction - Jan
**25**### Boost Your GRE Score!

07:00 PM PST

-09:00 PM PST

Join ScholarDen for their Guaranteed GRE Score Improvement! Plans starting at $19 per month. - Jan
**31**### How Do the Best GRE Tutors Help You Improve Your GRE Score?

06:00 PM PST

-07:00 PM PST

If you want to improve your GRE score, you have many options at your disposal. You can self-study using free or extremely low-cost GRE prep materials from ETS, invest in a slightly more expensive self-paced GRE course, and more.

A space program is recruiting a team of astronauts to journe
[#permalink]
04 Oct 2017, 20:36

11

Bookmarks

Question Stats:

GRE Multiple Answer Challenge Question

A space program is recruiting a team of astronauts to journey to Mars aboard a four-person shuttle. If the number of possible teams is less than 100 but greater than 10, then what is the possible number of astronauts who did not make the space team? Indicate all such numbers.

[A] 9

[B] 8

[C] 7

[D] 6

[E] 5

[F] 4

[G] 3

[H] 2

[I] 1

Show: :: OA

F, G, H

Kudos for correct solution.

Re: A space program is recruiting a team of astronauts to journe
[#permalink]
04 Oct 2017, 23:00

7

3

Bookmarks

Bunuel wrote:

GRE Multiple Answer Challenge Question

A space program is recruiting a team of astronauts to journey to Mars aboard a four-person shuttle. If the number of possible teams is less than 100 but greater than 10, then what is the possible number of astronauts who did not make the space team? Indicate all such numbers.

[A] 9

[B] 8

[C] 7

[D] 6

[E] 5

[F] 4

[G] 3

[H] 2

[I] 1

Show: :: OA

F, G, H

Kudos for correct solution.

Now here the total number of astronount choosen is not given, let it be = x

now we have to choose 4 astronount from the x astronounts

i.e, we can re write as xC4 and that has to be between 10 and 100

Now if x= 5 then the value becomes = 5 (5C4)

if we choose x=6 then the value becomes = 15 (6C4)

if we choose x= 8 then the value becomes =70 (8C4)

if we choose x= 9 then value becomes = 126 (9C4)

therefore it should lie between 6 and 8 .

Now we need the astronauts who did not meet i.e we have to subtract 4 from the total numbers

i.e 6-4 =2 and 8-4 = 4 (minimum and maximum values)

Therefore numbers 2 ,3, 4 did not made it.

Kindly let me know if my reasoning is correct

_________________

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

Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

Re: A space program is recruiting a team of astronauts to journe
[#permalink]
09 Jan 2019, 23:52

2

Expert Reply

Lets use very simple algebra here.

the total number of combinations (N) is less than 100 but greater than 10

the total team members is 4

thus 10< Nc4 <100

10 < Nc4 >100

10 < N!/((4!)*N-4)!) < 100

multiply both sides by 4!

10*4! < N!/(N-4)! <4!*100

240 < N!/(N-4)! <2400

240 < N(N-1)(N-2)(N-3) < 2400

Now, keep in mind they are asking for how many people out of the group was not chosen, so N = 4+ the answer choices given

since we know that

240 < N(N-1)(N-2)(N-3) < 2400

then the 4 multiplied numbers cant all be greater than 10 because we would get a number greater than 10000.

So start with N=6+4=10

240 < 10(9)(8)(7)=5040, which is not less than 2400

try N=9

240 < (9)(8)(7)(6)= 3024, which is not less than 2400

Try N=8

240 < (8)(7)(6)(5)= 1680< 2400, then 8-4 = 4 people not taken

Try N=7

240 < (7)(6)(5)(4)=840 <2400 7-4 = 3 people not taken

Try N= 6

240 < (6)(5)(4)(3) < 360 6-4 = 2 people not taken

At N = 5

5*4*3*2= 120 <240 which cant work

So the number of people left behind are 4,3,2

the total number of combinations (N) is less than 100 but greater than 10

the total team members is 4

thus 10< Nc4 <100

10 < Nc4 >100

10 < N!/((4!)*N-4)!) < 100

multiply both sides by 4!

10*4! < N!/(N-4)! <4!*100

240 < N!/(N-4)! <2400

240 < N(N-1)(N-2)(N-3) < 2400

Now, keep in mind they are asking for how many people out of the group was not chosen, so N = 4+ the answer choices given

since we know that

240 < N(N-1)(N-2)(N-3) < 2400

then the 4 multiplied numbers cant all be greater than 10 because we would get a number greater than 10000.

So start with N=6+4=10

240 < 10(9)(8)(7)=5040, which is not less than 2400

try N=9

240 < (9)(8)(7)(6)= 3024, which is not less than 2400

Try N=8

240 < (8)(7)(6)(5)= 1680< 2400, then 8-4 = 4 people not taken

Try N=7

240 < (7)(6)(5)(4)=840 <2400 7-4 = 3 people not taken

Try N= 6

240 < (6)(5)(4)(3) < 360 6-4 = 2 people not taken

At N = 5

5*4*3*2= 120 <240 which cant work

So the number of people left behind are 4,3,2

Re: A space program is recruiting a team of astronauts to journe
[#permalink]
10 Jan 2019, 03:53

1

Expert Reply

Bunuel wrote:

GRE Multiple Answer Challenge Question

A space program is recruiting a team of astronauts to journey to Mars aboard a four-person shuttle. If the number of possible teams is less than 100 but greater than 10, then what is the possible number of astronauts who did not make the space team? Indicate all such numbers.

[A] 9

8

[C] 7

[D] 6

[E] 5

[F] 4

[G] 3

[H] 2

[I] 1

Show: :: OA

F, G, H

Kudos for correct solution.

[b]So, the question is about possible number of teams, thus a combination problem--- nCr

In nCr, r is 4, so nC4..

What is n? - It is given in the choices, that is CHOICE + 4

so (9+4)C4, (8+4)C4, (7+4)C4,....(2+4)C4, (1+4)C4..

Also \(10<nC4<100\)...

1) \(nC4>10\)

Take n as the least (1+4) so 5C4=5, which is less than 10, so take next higher

take n as the 6,so \(6C4 = \frac{6*5}{2}=15\), greater than 10.. so possible

2)\(nC4<100\)

take n as 13, \(13C4 = \frac{13*12*11*10}{4*3*2}=715\), way more than 100 so take the middle value in the choice

n =9, so \(9C4 = \frac{9*8*7*6}{4*3*2}=126\), so >100

n=8, so \(8C4 = \frac{8*7*6*5}{4*3*2}=70\)

so n is from 6 to 8

if 4 are sent, the number of astronaut left can be (6-4), (7-4) or (8-4), thus 2, 3, or 4

_________________

Some useful Theory.

1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048

2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825

3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html

4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html

5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048

2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825

3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html

4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html

5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: A space program is recruiting a team of astronauts to journe
[#permalink]
06 Mar 2021, 06:54

Expert Reply

Bump

_________________

_________________

GRE Prep Club OFFICIAL Android App

New to the GRE, and GRE CLUB Forum?

GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ

Search GRE Specific Questions | Download Vault

Posting Rules: QUANTITATIVE | VERBAL

FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)

Free GRE Prep Club Tests: Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club on : Facebook | Instagram

Questions' Banks and Collection:

ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides

3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection

Books: All GRE Best Books

Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)

How is the GRE Score Calculated -The Definitive Guide (2021)

Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)

Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

New to the GRE, and GRE CLUB Forum?

GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ

Search GRE Specific Questions | Download Vault

Posting Rules: QUANTITATIVE | VERBAL

FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)

Free GRE Prep Club Tests: Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club on : Facebook | Instagram

Questions' Banks and Collection:

ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides

3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection

Books: All GRE Best Books

Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)

How is the GRE Score Calculated -The Definitive Guide (2021)

Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)

Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

Re: A space program is recruiting a team of astronauts to journe
[#permalink]
29 Apr 2021, 14:29

This one took me >2min to complete just the math portions and compare them, even starting with letter C!

Can we expect this amount of math in an actual GRE question?

Is there a shortcut or this is this a bloody, raw combinatorics problem that requires computation?

Can we expect this amount of math in an actual GRE question?

Is there a shortcut or this is this a bloody, raw combinatorics problem that requires computation?

A space program is recruiting a team of astronauts to journe
[#permalink]
30 Apr 2021, 00:25

Expert Reply

CozmoP wrote:

This one took me >2min to complete just the math portions and compare them, even starting with letter C!

Can we expect this amount of math in an actual GRE question?

Is there a shortcut or this is this a bloody, raw combinatorics problem that requires computation?

Can we expect this amount of math in an actual GRE question?

Is there a shortcut or this is this a bloody, raw combinatorics problem that requires computation?

No, in my opinion

It is just theoretically you can get it

Like RC:ETS says you can have a passage of up to 6 questions.

No one saw a passage, ever, with more of 4 questions at the very most

_________________

New to the GRE, and GRE CLUB Forum?

GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ

Search GRE Specific Questions | Download Vault

Posting Rules: QUANTITATIVE | VERBAL

FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)

Free GRE Prep Club Tests: Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club on : Facebook | Instagram

Questions' Banks and Collection:

ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides

3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection

Books: All GRE Best Books

Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)

How is the GRE Score Calculated -The Definitive Guide (2021)

Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)

Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

gmatclubot

Moderators:

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