Exams › SSC CGL (Prelims) › General
Three of the four number-pairs below share a common relationship. Find the pair that does NOT follow that pattern.
- 169 : 55
- 289 : 70
- 256 : 61
- 324 : 64
Correct answer: 324 : 64
Solution
For each pair (n^2, m): digit-sum(n^2) + 3n = m. For 169: digit-sum=16, sqrt=13, 16+3*13=16+39=55 ✓. For 289: digit-sum=19, sqrt=17, 19+3*17=19+51=70 ✓. For 256: digit-sum=13, sqrt=16, 13+3*16=13+48=61 ✓. For 324: digit-sum=9, sqrt=18, 9+3*18=9+54=63 ≠ 64. So 324:64 is the odd one out.
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