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

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GMAT Date: 02-18-2019
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If x is a positive integer, what is the tens digit of x? When the  [#permalink]

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New post 26 Mar 2019, 00:59
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Question Stats:

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

I. When the product of 2 and (x+1) is rounded to the nearest tens, the result is 40
II. When the product of 3 and (x+1) is rounded to the nearest tens, the result is 70
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If x is a positive integer, what is the tens digit of x? When the  [#permalink]

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New post 26 Mar 2019, 06:19
If x is a positive integer, what is the tens digit of x?

I. When the product of 2 and (x+1) is rounded to the nearest tens, the result is 40
the product of 2 and (x+1) = 2(x+1).
rounding an integer to nearest ten and result being 40 means, the integer is from 35-44
Thus \(35\leq2(x+1)\leq44..........33\leq2x\leq42........17.5\leq{x}\leq21\), so number can be 18,19,20 or 21...
Thus tens digit can be 1 or 2..
Insufficient

II. When the product of 3 and (x+1) is rounded to the nearest tens, the result is 70
the product of 3 and (x+1) = 3(x+1).
rounding an integer to nearest ten and result being 70 means, the integer is from 65-74
Thus \(65\leq3(x+1)\leq74..........62\leq3x\leq71........20.6\leq{x}\leq23.6\), so number can be 21, 22 or 23...
Thus tens digit can be only 2..
Sufficient

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If x is a positive integer, what is the tens digit of x? When the   [#permalink] 26 Mar 2019, 06:19
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If x is a positive integer, what is the tens digit of x? When the

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