SSC CHSL 2023 · PYQ · Number Pairs / Set Analogy · medium
Select the set in which the numbers are related in the same way as are the numbers of the following sets. (12, 11, 137) (17, 21, 362)
- A.(14,31,440)
- B.(18,9,165)
- C.(21,25,530)✓ Correct
- D.(38,7,270)
In (12,11,137): 12²+11²−2+1=144+121−8=137... checking: 12²+11²=144+121=265, not matching. Trying 12²+11²−(12+11)=265−23=242, no. Let's try: 12²+11²−(12×11−1)=265−131=134, no. Actually 12²+11²+1²-1=265: no. Try (12−1)²+(11−1)²=121+100=221 no. Try 12×11+12+11+2=132+25=157 no. 12²+11=144+11=155 no. 11²+12+4=121+16=137 yes! 11²+(12+4)=137. Hmm. Check (17,21,362): 21²+(17+4)=441+21=462 no. Try a²+b²−a−b: 144+121−12−11=242−23=219 no. Try a×b×c pattern for 3 numbers: 12×11=132, 132+5=137? 17×21=357, 357+5=362! 12×11+5=137, 17×21+5=362. Check (21,25,530): 21×25+5=525+5=530. Yes! Answer is (21,25,530).
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