Q. Find the value of question mark 122 : 170 : : 290 : ?

  • (A) 362
  • (B) 341
  • (C) 315
  • (D) 299
βœ… Correct Answer: (A) 362
Explanation:

Look at the pattern:

122 : 170

Difference: 170 βˆ’ 122 = 48

Now check another relation:

  • 122 = 11Β² + 1 = 121 + 1
  • 170 = 13Β² + 1 = 169 + 1

So the pattern is:

  • 11Β² + 1 β†’ 13Β² + 1 (increase the base by 2)

Now apply it to 290:

  • 290 = 17Β² + 1 = 289 + 1
  • Increase the base by 2:
    • 19Β² + 1 = 361 + 1 = 362

βœ… Answer: (A) 362

Explanation by: Jyoti

Look at the pattern:

122 : 170

Difference: 170 βˆ’ 122 = 48

Now check another relation:

  • 122 = 11Β² + 1 = 121 + 1
  • 170 = 13Β² + 1 = 169 + 1

So the pattern is:

  • 11Β² + 1 β†’ 13Β² + 1 (increase the base by 2)

Now apply it to 290:

  • 290 = 17Β² + 1 = 289 + 1
  • Increase the base by 2:
    • 19Β² + 1 = 361 + 1 = 362

βœ… Answer: (A) 362

πŸ“ Notes by Other Students/ Teachers


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