Answer:
Option D
Explanation:
As discussed above we may label the given series as series I and then form series II to Series IV as shown below:
Series I: 3 20 63 144 275 ?
Series II: 17 43 81 131 ?
Series III: 26 38 50 ?
Series IV: 12 12
Cleary the pattern in series III is +12
So the missing term in series III = 50 + 12 = 62;
Missing term in series II = 131 + 62 = 193;
Missing term in series I = 275 + 193 = 468;
Thus the missing term is 468. Hence the answer is (d)
Direct Method
Clearly we have:
Missing term = 275 +(131 + 50 + 12) = 468.