Question:

68, 117, 61, 124, 54, ?

Options:
a) 141
b) 121
c) 151
d) 131
e) 111

Answer:

The given series seems to be random and does not follow any particular pattern. However, if we look closely, we can observe that the difference between adjacent terms is not constant.

To solve this question, we need to find a pattern in the differences between adjacent terms.

Let's calculate the difference between adjacent terms:

- Difference between 68 and 117 = 49
- Difference between 117 and 61 = -56
- Difference between 61 and 124 = 63
- Difference between 124 and 54 = -70

Now, if we observe the differences, we can see that the signs of the differences are changing alternatively.

- Positive difference (+49)
- Negative difference (-56)
- Positive difference (+63)
- Negative difference (-70)

So, the next difference should be positive.

Let's add the next positive difference to the last term of the given series:

- Last term of the given series = 54
- Next positive difference = +77 (because the sign of the differences is changing alternatively)
- Adding the next positive difference to the last term of the given series, we get:

54 + 77 = 131

Therefore, the next term in the series is 131.

Hence, the correct answer is option 'D' - 131.