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# In a cost-accounting class of a financial course, there are N students

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DS Forum Moderator
Joined: 21 Aug 2013
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In a cost-accounting class of a financial course, there are N students  [#permalink]

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25 Mar 2018, 23:25
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00:00

Difficulty:

65% (hard)

Question Stats:

44% (01:51) correct 56% (02:32) wrong based on 32 sessions

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In a cost-accounting class of a financial course, there are N students present on a particular day. If N is a two digit number, then what is the value of N?

(1) If 5 more students had been present in the class, they could have been evenly divided in groups of 7 each.

(2) If 6 more students had been present in the class, they could have been evenly divided in groups of 9 each.
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Posts: 392
Re: In a cost-accounting class of a financial course, there are N students  [#permalink]

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26 Mar 2018, 03:12
Statement 1 is clearly insufficient.

It says N + 5 should be divisible by 7.

16+5=21
23+5=28
30+5=35
37+5=42. and so on

Statement 2 is also similarly insufficient.

21+6=27
30+6=36
39+6=45
48+6=54

Combining both , we get N = 30

Thus, option C is right.

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Re: In a cost-accounting class of a financial course, there are N students  [#permalink]

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26 Mar 2018, 03:23
SonalSinha803 wrote:
Statement 1 is clearly insufficient.

It says N + 5 should be divisible by 7.

16+5=21
23+5=28
30+5=35
37+5=42. and so on

Statement 2 is also similarly insufficient.

21+6=27
30+6=36
39+6=45
48+6=54

Combining both , we get N = 30

Thus, option C is right.

Sent from my Lenovo K53a48 using GMAT Club Forum mobile app

30+5=35
30+6=36

156+5 : 161 : 161/7 = 23
156+6 : 162 : 162/9 = 18

Similarly there infinite solution when statement 1 & 2 are considered together, hence, not sufficient.

Kudoss!!
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Re: In a cost-accounting class of a financial course, there are N students  [#permalink]

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31 Mar 2018, 06:02
1
amanvermagmat wrote:
In a cost-accounting class of a financial course, there are N students present on a particular day. If N is a two digit number, then what is the value of N?

(1) If 5 more students had been present in the class, they could have been evenly divided in groups of 7 each.

(2) If 6 more students had been present in the class, they could have been evenly divided in groups of 9 each.

St 1: N + 5 = 7k , Or N = 7k - 5 -------- (I) Insufficient as we have no info about N and k

N can be 2, 9, 16, 23, 30 etc

St 2: N + 6 = 9k , Or N = 9k - 6 -------(II) Insufficient as we have no info about N and k

N can be 3, 12, 21, 30 etc

We need to check to for some other values with formula : (LCM of 7 & 9) + (first common value)

63k + 30 : - common values are 30, 93 etc for different values of k (Combining Insufficient)

(E)
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Re: In a cost-accounting class of a financial course, there are N students   [#permalink] 31 Mar 2018, 06:02
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