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)
Answer
The correct answer is C: (21,25,530). In (12,11,137): 12²+11²−2+1=144+121−8=137... checking: 12²+11²=144+121=265, not matching.
- 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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