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Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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11 Jun 2011, 01:12

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siddhans wrote:

Can someone please explain in detail?

If n is a positive integer, what is the tens digit of n ? (1) The hundreds digit of 10n is 6. (2) The tens digit of n + 1 is 7.

Its A for me ; st1. 10n = 6. Look at it in this way,. for example the number 56; 5 in tens place and 6 in units, multiply 56 by 10 we get 560 ; Now 5 took hundredth place and 6 tenths place, So we can conclude that when we multiply a number by 10, the orginal designated places( units/tens/hundreds) shifts to the left and takes the next higher place.

so in statement 1. we know hundred digit of 10n = 6 hence we know that the number is 6 X X and thus the original number is X 6 X . Sufficient

St.2 tens digit on n +1 = 7 suppose the number n is 69 n+1 = 70 = tens digit is 7 , tens digit of n is 6; suppose n = 70; n+1 = 71 both n and n+1 have tens digits as 7. hence insufficient.

Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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11 Jun 2011, 01:46

sudhir18n wrote:

siddhans wrote:

Can someone please explain in detail?

If n is a positive integer, what is the tens digit of n ? (1) The hundreds digit of 10n is 6. (2) The tens digit of n + 1 is 7.

Its A for me ; st1. 10n = 6. Look at it in this way,. for example the number 56; 5 in tens place and 6 in units, multiply 56 by 10 we get 560 ; Now 5 took hundredth place and 6 tenths place, So we can conclude that when we multiply a number by 10, the orginal designated places( units/tens/hundreds) shifts to the left and takes the next higher place.

so in statement 1. we know hundred digit of 10n = 6 hence we know that the number is 6 X X and thus the original number is X 6 X . Sufficient

St.2 tens digit on n +1 = 7 suppose the number n is 69 n+1 = 70 = tens digit is 7 , tens digit of n is 6; suppose n = 70; n+1 = 71 both n and n+1 have tens digits as 7. hence insufficient.

Hope this helps

Okay, What does 10n mean here...? 10 multiplied by a number ? and this number is single digit?

Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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11 Jun 2011, 03:03

siddhans wrote:

Can someone please explain in detail?

If n is a positive integer, what is the tens digit of n ? (1) The hundreds digit of 10n is 6. (2) The tens digit of n + 1 is 7.

Whenever a number is multiplied by 10, its digits will shift one to the left

12345 --> 4 is at tens place x10 123450 --> 4 is at hundreds place x100 1234500 --> 4 is at thousands place x1000 12345000 --> 4 is at ten thousands place
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Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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08 Nov 2011, 12:29

One of the ways of solving this is coming up with possible numbers (1)when hundredths digit of 10n is 6 all number for n will have 6 in tenths place 61,365, etc. So sufficient (2)n can be 69, 70, 71 etc where n+1 will have 7 in its tenths place. So Insufficient

Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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05 Dec 2011, 22:26

say n =XY statement 1: 10*XY= XY0, where X is the tens digit of XY. Since, XY0= 6Y0, the tens digit of n =6. Sufficient Statement 2: say XY = 69. XY+1= 70 or XY=70, XY+1=71. Multiple possibilities. Not Sufficient.

Re: If n is a positive integer, what is the tens digit of n ? [#permalink]

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If n is a positive integer, what is the tens digit of n ?

(1) The hundreds digit of 10n is 6. This implies that the tens digit of n is 6 (the hundreds digit of 10n is the same as the tens digit of n). Sufficient.

(2) The tens digit of n + 1 is 7. If n=70, then the tens digit of n is 7, but if n=69, then the tens digit of n is 6. Not sufficient.

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