Correct option is (c) 196
Here we are given with the numbers 4, 16, 36, 64, 100, 144
So in these kind of questions we have to find what common pattern is prevailing so in this one:
Subtracting every no from it's succeeding no gives a difference and those respective differences are forming pattern as follows:
16 – 4 = 12
36 – 16 = 20
64 – 36 = 28
100 – 64 = 36
144 - 100 = 44
So we have a new series 12, 20, 28, 36, 44 in this Subtracting every no from it's succeeding no gives a difference of 8 now in the latter series continues with the same pattern of difference of 8 and the series proceeds with next number 52 now these no gets added in the first original series as described as follows:
144 + 52 = 196
So the next term = 196.
