Sarkari RiseLogin
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)

  1. A.(14,31,440)
  2. B.(18,9,165)
  3. C.(21,25,530)✓ Correct
  4. D.(38,7,270)

Explanation

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).
💡 Practice unlimited SSC CHSL PYQs + AI-tracked progress on each topic. Sign up free →

Want more SSC CHSL practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Number Pairs / Set Analogy practice