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If q is a six-digit integer between 200,000 and 201,000, what is the

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If q is a six-digit integer between 200,000 and 201,000, what is the [#permalink]

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If q is a six-digit integer between 200,000 and 201,000, what is the units digit of q?

(1) The remainder when q is divided by 5 is 4.

(2) The tens digit of 2(5q + 1.5) is 9.
[Reveal] Spoiler: OA

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Re: If q is a six-digit integer between 200,000 and 201,000, what is the [#permalink]

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New post 09 May 2017, 23:36
Bunuel wrote:
If q is a six-digit integer between 200,000 and 201,000, what is the units digit of q?

(1) The remainder when q is divided by 5 is 4.

(2) The tens digit of 2(5q + 1.5) is 9.


(1) The units digit of \(q\) could be 4 or 9. Insufficient.

(2) \(2(5q+1.5)=10q+3\). Note that the tens digit of \(10q+3\) is the units digit of \(q\). Hence, the units digit of \(q\) is 9. Sufficient.

The answer is B.
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Re: If q is a six-digit integer between 200,000 and 201,000, what is the [#permalink]

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New post 10 May 2017, 00:01
stat1: the last digit could be 4 as in 24 or 9 as in 19...not suff

stat2: 10q + 3... suff to get the last digit of q.. suff

ans B
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Re: If q is a six-digit integer between 200,000 and 201,000, what is the [#permalink]

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New post 10 May 2017, 07:45
Bunuel wrote:
If q is a six-digit integer between 200,000 and 201,000, what is the units digit of q?

(1) The remainder when q is divided by 5 is 4.

(2) The tens digit of 2(5q + 1.5) is 9.


I'll go with option C.

(1) Units digit can be 4 or 9. Hence not sufficient.

(2) Tens digit of 10q+3 is 9. So 10th digit of 10q can be 8 or 9, likewise the unit's digit of q. Hence not sufficient.

Example XXXX89 + 3 = XXXXX92.

XXXXX90 + 3 = XXXXX93.

Combining (1) and (2) - Unit's digit is 9

Cheers!
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Re: If q is a six-digit integer between 200,000 and 201,000, what is the [#permalink]

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New post 10 May 2017, 17:33
Diwakar003 wrote:
Bunuel wrote:
If q is a six-digit integer between 200,000 and 201,000, what is the units digit of q?

(1) The remainder when q is divided by 5 is 4.

(2) The tens digit of 2(5q + 1.5) is 9.


I'll go with option C.

(1) Units digit can be 4 or 9. Hence not sufficient.

(2) Tens digit of 10q+3 is 9. So 10th digit of 10q can be 8 or 9, likewise the unit's digit of q. Hence not sufficient.

Example XXXX89 + 3 = XXXXX92.

XXXXX90 + 3 = XXXXX93.

Combining (1) and (2) - Unit's digit is 9

Cheers!


Okay I realized I made a blunder.

(2) Tens digit of 10q+3 is 9. So 10th digit of 10q can be 8 or 9. - The last digit of 10q will always be 0. So only 9 is possible. Hence B alone is sufficient.

Cheers!
Re: If q is a six-digit integer between 200,000 and 201,000, what is the   [#permalink] 10 May 2017, 17:33
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