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# The number of students in section A is 20 and that of section B is 25

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Senior Manager
Joined: 21 Aug 2016
Posts: 265
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
The number of students in section A is 20 and that of section B is 25  [#permalink]

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Updated on: 30 Nov 2016, 08:37
1
6
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:33) correct 43% (01:32) wrong based on 160 sessions

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1. The number of students in section A is 20 and that of section B is 25. If 5 students from section A go to section B , does the average weight of class B increase or decrease?

a) The weight of heaviest student in section A is 50 kg and weight of the lightest student in section B is 35 kgs.

b) The weight of the lightest student in section A is 45 kg and the weight of the heaviest student in section B is 40 kgs

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Originally posted by AR15J on 26 Nov 2016, 08:09.
Last edited by AR15J on 30 Nov 2016, 08:37, edited 1 time in total.
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Joined: 04 Mar 2016
Posts: 45
Location: India
Re: The number of students in section A is 20 and that of section B is 25  [#permalink]

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26 Nov 2016, 08:22
(E)

a Alone is not sufficient

b Alone is not sufficient

Combining a + b , we will get Avg weights of both the classes, but which 5 students from A will be moved to Section B will determine whether the weight increases or decreases.

Correct me if wrong

Omkar Kamat
When The Going Gets Tough, The Tough Gets Going !!
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Joined: 21 Aug 2016
Posts: 265
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
Re: The number of students in section A is 20 and that of section B is 25  [#permalink]

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26 Nov 2016, 08:43
2
Omkar.kamat wrote:
(E)

a Alone is not sufficient

b Alone is not sufficient

Combining a + b , we will get Avg weights of both the classes, but which 5 students from A will be moved to Section B will determine whether the weight increases or decreases.

Correct me if wrong

Omkar Kamat
When The Going Gets Tough, The Tough Gets Going !!

Hi Omkar,

Statement1 :We know the heaviest weight of section A and don't know the weight of those students who are coming to section B. Their weight can be 50 kgs or 1 kg (not possible in real life but here it is possible). In addition, we know the lightest weight of section B, that means average of section B should be at least 35. In this case, average of section B can increase or decrease. So, this condition alone is not sufficient.

Statement 2: Statement 2 says that weight of the lightest student in section A is 45 kgs so all students who are going to section B will be at least 45 kgs. And the average weight of section B will either be less than 40 (since it is the heaviest weight) or equivalent to 40 (if all students in section B are 40 kgs). Since the weight of the students coming to section B is more than the average of section B, new average of section B will certainly increase. So this statement is sufficient in itself.

Hope it helps.
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Re: The number of students in section A is 20 and that of section B is 25  [#permalink]

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11 Feb 2018, 07:52
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Re: The number of students in section A is 20 and that of section B is 25 &nbs [#permalink] 11 Feb 2018, 07:52
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