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ExamsSSC CGL (Prelims)General

Three of the four triads below follow the same pair of mathematical rules and form a group. Identify the triad that does NOT fit the group. The rules involve two operations on the first number to generate the second and third numbers.

  1. 11 : 21 : 121
  2. 7 : 15 : 49
  3. 2 : 3 : 4
  4. 9 : 17 : 81

Correct answer: 7 : 15 : 49

Solution

For triads 11:21:121, 2:3:4, and 9:17:81 the rules are: second = 2×first - 1; third = first^2. Test: 11→2(11)-1=21 ✓, 11^2=121 ✓; 2→2(2)-1=3 ✓, 2^2=4 ✓; 9→2(9)-1=17 ✓, 9^2=81 ✓. For 7: 2(7)-1=13≠15, so the rule breaks. Hence 7:15:49 does not belong.

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