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

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

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