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bmwhype2
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bmwhype2
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GK_Gmat
bmwhype2
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.
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alrussell
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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
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saviop
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alrussell
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.



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