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

Question

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.

broall · Answer

(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.

mohshu · Answer

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

Diwakar003 · Answer

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!

Diwakar003 · Answer

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!

fskilnik · Answer

200,000 < q\,\,{\mathop{\rm int}} \,\, < \,\,201,000

? = \left\langle q \right\rangle

\left( 1 \right)\,\,q = 5M + 4\,\,,\,\,\,M\,\,{\mathop{\rm int}} \,\,\,\,\left\{ \matrix{
 \,{\rm{Take}}\,\,M = 40,000\,\,\,\, \Rightarrow \,\,\,q = 200,004\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 4 \hfill \cr 
 \,{\rm{Take}}\,\,M = 40,001\,\,\,\, \Rightarrow \,\,\,q = 200,009\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 9 \hfill \cr} \right.

\left( 2 \right)\,\,\left\langle {{{10q + 3} \over {10}}} \right\rangle \,\, = \,\,9\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {q + {3 \over {10}}} \right\rangle = 9\,\,\,\,\,\mathop \Rightarrow \limits^{q\,\,{\mathop{\rm int}} } \,\,\,\,\,? = 9

We follow the notations and rationale taught in the  GMATH  method.

Regards, 
Fabio.

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards