and sources selected by only one method (1635), respectively.

Data Preparation and Observations {#sec:data}
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[lccccr]{} LMC 01 & 04:41:43 & $-$69:50:29 & 220 & $\cdots$ & $\cdots$\
LMC 02 & 04:43:19 & $-$68:19:18 & 197 & $\cdots$ & $\cdots$\
LMC 03 & 04:56:52 & $-$67:07:48 & 213 & $\cdots$ & $\cdots$\
LMC 04 & 05:00:51 & $-$70:27:49 & 221 & 41 & 1480\
LMC 05 & 05:01:42 & $-$68:49:26 & 269 & $\cdots$ & $\cdots$\
LMC 06 & 05:14:27 & $-$67:35:00 & 189 & $\cdots$ & $\cdots$\
LMC 07 & 05:19:43 & $-$69:31:07 & 307 & 36 & 5400\
LMC 08 & 05:21:54 & $-$71:02:48 & 247 & 60 & 3600\
LMC 09 & 05:32:54 & $-$68:31:01 & 230 & $\cdots$ & $\cdots$\
LMC 10 & 05:41:31 & $-$71:36:00 & 201 & 37 & 2550\
LMC 11 & 05:41:56 & $-$70:11:07 & 275 & $\cdots$ & $\cdots$\
LMC 12 & 05:52:39 & $-$68:57:51 & 183 & $\cdots$ & $\cdots$\

We are mostly interested in quasars located in the overlapping areas of the SAGE and OGLE-III surveys. We divided this LMC area into 12 fields (see Figure \[fig:MQS\_LMC\_fields\]), each $\sim$3 deg$^2$ and corresponding to the field of view of AAOmega. 