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# 10 sergents and 7 lieutenants meet at the training camp. If

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Manager
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10 sergents and 7 lieutenants meet at the training camp. If [#permalink]  26 Jul 2007, 23:30
10 sergents and 7 lieutenants meet at the training camp. If each sergent salutes other sergents and liutenants once and each lietanant salutes each pf the sergents back but not each other, how many salutes take place ?

a) 144
b) 131
c) 115
d) 90
e) 45
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Salutes between sergeants = 10C2 = 45
Salutes between sergeants and lieutenants = 7*10 = 70

Total = 115
Senior Manager
Joined: 04 Jun 2007
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Re: Good Word Problem [#permalink]  27 Jul 2007, 03:55
ajay_gmat wrote:
10 sergents and 7 lieutenants meet at the training camp. If each sergent salutes other sergents and liutenants once and each lietanant salutes each pf the sergents back but not each other, how many salutes take place ?

a) 144
b) 131
c) 115
d) 90
e) 45

Each sergeant salutes each of the lieutenants. (10*7)=70 salutes
Each lieutenant salutes each of the sergeants. (7*10)= 70 salutes

Doesn't that make 140 salutes ?? That is not even counting the salutes between the sergeants (which adds another 45 salutes) !! Where am I going wrong ??
Manager
Joined: 08 Jul 2007
Posts: 174
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Re: Good Word Problem [#permalink]  27 Jul 2007, 04:59
sumande wrote:
ajay_gmat wrote:
10 sergents and 7 lieutenants meet at the training camp. If each sergent salutes other sergents and liutenants once and each lietanant salutes each pf the sergents back but not each other, how many salutes take place ?

a) 144
b) 131
c) 115
d) 90
e) 45

Each sergeant salutes each of the lieutenants. (10*7)=70 salutes
Each lieutenant salutes each of the sergeants. (7*10)= 70 salutes

Doesn't that make 140 salutes ?? That is not even counting the salutes between the sergeants (which adds another 45 salutes) !! Where am I going wrong ??

I think that since the lieutenants are saluting the sergeants at the same time that the sergeants salute the lieutenants, it counts as a one time salute. Kind of like handshakes...
Senior Manager
Joined: 04 Jun 2007
Posts: 348
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Kudos [?]: 15 [0], given: 0

Re: Good Word Problem [#permalink]  27 Jul 2007, 06:24
briks123 wrote:
sumande wrote:
ajay_gmat wrote:
10 sergents and 7 lieutenants meet at the training camp. If each sergent salutes other sergents and liutenants once and each lietanant salutes each pf the sergents back but not each other, how many salutes take place ?

a) 144
b) 131
c) 115
d) 90
e) 45

Each sergeant salutes each of the lieutenants. (10*7)=70 salutes
Each lieutenant salutes each of the sergeants. (7*10)= 70 salutes

Doesn't that make 140 salutes ?? That is not even counting the salutes between the sergeants (which adds another 45 salutes) !! Where am I going wrong ??

I think that since the lieutenants are saluting the sergeants at the same time that the sergeants salute the lieutenants, it counts as a one time salute. Kind of like handshakes...

I could never imagine salutes and handshakes to be similar !! But if we are to consider that simultaneous salutes are to be counted as one, it should be mentioned in the question. As such, IMO, it is a wrongly framed question or there is some mistake with the answer choices.
Intern
Joined: 08 Sep 2006
Posts: 34
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Re: Good Word Problem [#permalink]  27 Jul 2007, 07:34
sumande wrote:
briks123 wrote:
sumande wrote:
ajay_gmat wrote:
10 sergents and 7 lieutenants meet at the training camp. If each sergent salutes other sergents and liutenants once and each lietanant salutes each pf the sergents back but not each other, how many salutes take place ?

a) 144
b) 131
c) 115
d) 90
e) 45

Each sergeant salutes each of the lieutenants. (10*7)=70 salutes
Each lieutenant salutes each of the sergeants. (7*10)= 70 salutes

Doesn't that make 140 salutes ?? That is not even counting the salutes between the sergeants (which adds another 45 salutes) !! Where am I going wrong ??

I think that since the lieutenants are saluting the sergeants at the same time that the sergeants salute the lieutenants, it counts as a one time salute. Kind of like handshakes...

I could never imagine salutes and handshakes to be similar !! But if we are to consider that simultaneous salutes are to be counted as one, it should be mentioned in the question. As such, IMO, it is a wrongly framed question or there is some mistake with the answer choices.

I would have to agree. Coming from a military background, I can tell you when a sergeant salutes a Lt and the Lt salutes back the exchange counts as 2 salutes.

I got 90 (Sergeants to Sergeants) + 70 (Sergeants to Lts) + 70 (Lts to Lts) = 230. None of the answers fit.

If you assume salute = handshake then 230/2 = 115.
Manager
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Re: Good Word Problem [#permalink]  27 Jul 2007, 09:14
qtip wrote:
sumande wrote:
briks123 wrote:
sumande wrote:
ajay_gmat wrote:
10 sergents and 7 lieutenants meet at the training camp. If each sergent salutes other sergents and liutenants once and each lietanant salutes each pf the sergents back but not each other, how many salutes take place ?

a) 144
b) 131
c) 115
d) 90
e) 45

Each sergeant salutes each of the lieutenants. (10*7)=70 salutes
Each lieutenant salutes each of the sergeants. (7*10)= 70 salutes

Doesn't that make 140 salutes ?? That is not even counting the salutes between the sergeants (which adds another 45 salutes) !! Where am I going wrong ??

I think that since the lieutenants are saluting the sergeants at the same time that the sergeants salute the lieutenants, it counts as a one time salute. Kind of like handshakes...

I could never imagine salutes and handshakes to be similar !! But if we are to consider that simultaneous salutes are to be counted as one, it should be mentioned in the question. As such, IMO, it is a wrongly framed question or there is some mistake with the answer choices.

I would have to agree. Coming from a military background, I can tell you when a sergeant salutes a Lt and the Lt salutes back the exchange counts as 2 salutes.

I got 90 (Sergeants to Sergeants) + 70 (Sergeants to Lts) + 70 (Lts to Lts) = 230. None of the answers fit.

If you assume salute = handshake then 230/2 = 115.

Haha, I guess the challenge writers should consult you next time huh?
Manager
Joined: 14 Mar 2007
Posts: 62
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Kudos [?]: 1 [0], given: 0

The OA is 115.. Was confused on this one myself
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