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A joint debating session was attended by 50 students from a certain

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Manager
Joined: 07 Mar 2016
Posts: 76

Kudos [?]: 37 [2], given: 163

A joint debating session was attended by 50 students from a certain [#permalink]

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24 May 2016, 12:19
2
KUDOS
4
This post was
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Difficulty:

65% (hard)

Question Stats:

47% (00:56) correct 53% (01:05) wrong based on 94 sessions

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A joint debating session was attended by 50 students from a certain junior class and a certain senior class. Is the probability that a speaker selected at random from this group of students will be female junior greater than 2/5?

(1) 30 students from the junior class attended the session.

(2) 35 male students attended the session.
[Reveal] Spoiler: OA

Kudos [?]: 37 [2], given: 163

Math Forum Moderator
Joined: 13 Apr 2015
Posts: 1503

Kudos [?]: 1107 [2], given: 884

Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
Re: A joint debating session was attended by 50 students from a certain [#permalink]

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24 May 2016, 12:47
2
KUDOS
Probability that a student selected is female junior > 2/5 --> Question asks whether the number of female junior students > (2/5)*50 = 20

St1: 30 students from the junior class attended the session. --> Out of 30 juniors, we do not know how many are female.
Not Sufficient

St2: 35 male students attended the session. --> Number of female = 15. Hence number of female juniors can be atmost 15
Sufficient.

Kudos [?]: 1107 [2], given: 884

Manager
Joined: 07 Mar 2016
Posts: 76

Kudos [?]: 37 [0], given: 163

Re: A joint debating session was attended by 50 students from a certain [#permalink]

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24 May 2016, 12:51
Vyshak wrote:
Probability that a student selected is female junior > 2/5 --> Question asks whether the number of female junior students > (2/5)*50 = 20

St1: 30 students from the junior class attended the session. --> Out of 30 juniors, we do not know how many are female.
Not Sufficient

St2: 35 male students attended the session. --> Number of female = 15. Hence number of female juniors can be atmost 15
Sufficient.

Sorry i still have a doubt. 35 males attended. --> no of females = 15. but we dont know how many of them are from junior class and how many are from senior class.

Can u suggest a difficulty level also?
Thank u so much!

Kudos [?]: 37 [0], given: 163

Math Forum Moderator
Joined: 13 Apr 2015
Posts: 1503

Kudos [?]: 1107 [0], given: 884

Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
Re: A joint debating session was attended by 50 students from a certain [#permalink]

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24 May 2016, 13:04
ashutoshsh wrote:
Vyshak wrote:
Probability that a student selected is female junior > 2/5 --> Question asks whether the number of female junior students > (2/5)*50 = 20

St1: 30 students from the junior class attended the session. --> Out of 30 juniors, we do not know how many are female.
Not Sufficient

St2: 35 male students attended the session. --> Number of female = 15. Hence number of female juniors can be atmost 15
Sufficient.

Sorry i still have a doubt. 35 males attended. --> no of females = 15. but we dont know how many of them are from junior class and how many are from senior class.

Can u suggest a difficulty level also?
Thank u so much!

Question asks us whether there are > 20 female juniors. If there are only 15 females there cannot be more than 15 female juniors.

Regarding the difficulty, I cannot comment on it. It depends on the responses. So check the question again after a few days. You will get to know the approximate difficulty level.

Kudos [?]: 1107 [0], given: 884

Manager
Joined: 07 Mar 2016
Posts: 76

Kudos [?]: 37 [0], given: 163

Re: A joint debating session was attended by 50 students from a certain [#permalink]

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24 May 2016, 13:19
Vyshak wrote:
ashutoshsh wrote:
Vyshak wrote:
Probability that a student selected is female junior > 2/5 --> Question asks whether the number of female junior students > (2/5)*50 = 20

St1: 30 students from the junior class attended the session. --> Out of 30 juniors, we do not know how many are female.
Not Sufficient

St2: 35 male students attended the session. --> Number of female = 15. Hence number of female juniors can be atmost 15
Sufficient.

Sorry i still have a doubt. 35 males attended. --> no of females = 15. but we dont know how many of them are from junior class and how many are from senior class.

Can u suggest a difficulty level also?
Thank u so much!

Question asks us whether there are > 20 female juniors. If there are only 15 females there cannot be more than 15 female juniors.

Regarding the difficulty, I cannot comment on it. It depends on the responses. So check the question again after a few days. You will get to know the approximate difficulty level.

Thank u so much.. got it this time

Kudos [?]: 37 [0], given: 163

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Joined: 09 Sep 2013
Posts: 16651

Kudos [?]: 273 [0], given: 0

Re: A joint debating session was attended by 50 students from a certain [#permalink]

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13 Sep 2017, 01:08
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Re: A joint debating session was attended by 50 students from a certain   [#permalink] 13 Sep 2017, 01:08
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