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# A construction company wants to number houses using digit

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CEO
Joined: 21 Jan 2007
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A construction company wants to number houses using digit [#permalink]

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15 Nov 2007, 06:14
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A construction company wants to number houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers?

(The numbers of houses are consecutive and the number of the first house is 1.)

260
440
556
111
222
Director
Joined: 09 Aug 2006
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15 Nov 2007, 06:27
bmwhype2 wrote:
A construction company wants to number houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers?

(The numbers of houses are consecutive and the number of the first house is 1.)

260
440
556
111
222

Can you clarify - is it a digit per plate?

If so, then houses 1-9 need 9 plates.
House 10 - 99 need 2*90 = 180 plates.
1212 - 189 = 1023 plates
1023/3 = 341
341+180+9 = 530 houses.

Since this answer isn't even a choice, obviously I've totally misunderstood the question.
CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
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Kudos [?]: 855 [0], given: 4

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15 Nov 2007, 06:42
GK_Gmat wrote:
bmwhype2 wrote:
A construction company wants to number houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers?

(The numbers of houses are consecutive and the number of the first house is 1.)

260
440
556
111
222

Can you clarify - is it a digit per plate?

If so, then houses 1-9 need 9 plates.
House 10 - 99 need 2*90 = 180 plates.
1212 - 189 = 1023 plates
1023/3 = 341
341+180+9 = 530 houses.

Since this answer isn't even a choice, obviously I've totally misunderstood the question.

i have no idea. i dont even know what they are testing.
Manager
Joined: 30 Jan 2006
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15 Nov 2007, 13:30
GK_Gmat wrote:
bmwhype2 wrote:
A construction company wants to number houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers?

(The numbers of houses are consecutive and the number of the first house is 1.)

260
440
556
111
222

Can you clarify - is it a digit per plate?

If so, then houses 1-9 need 9 plates.
House 10 - 99 need 2*90 = 180 plates.
1212 - 189 = 1023 plates
1023/3 = 341
341+180+9 = 530 houses.

Since this answer isn't even a choice, obviously I've totally misunderstood the question.

I think they are asking the digits as digits per plate and the answer should be 440. GK_Gmat you have added 180 when only 90 should have been added.
Manager
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15 Nov 2007, 13:50
I make it 440.

9 x 1 digit = 9 digits = 9 Houses

+

2 x 90 digits = 180 = 180 digits = 90 houses

+

1023 digits / 3 digits = 341 Houses

Thus 9 + 90 + 341 houses - A - 440 houses
Manager
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16 Nov 2007, 04:57
alrussell wrote:
I make it 440.

9 x 1 digit = 9 digits = 9 Houses

+

2 x 90 digits = 180 = 180 digits = 90 houses

+

1023 digits / 3 digits = 341 Houses

Thus 9 + 90 + 341 houses - A - 440 houses

Ans A. Same reasoning as above.
16 Nov 2007, 04:57
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