Question Details

Identify the single term that does not conform to the pattern in the following number series:

11, 75, 11, 136, 87, 303, 268

Options

A

136

B

268

C

75

D

11

E

303

Show Answer

Correct Answer :

Option B

268

Solution :

`. Let's format the solution carefully following all rules. 268

The correct option is 268.

To find the term that does not conform to the pattern, let us analyze the step-by-step mathematical operation between consecutive terms in the series.

The given number series is:
11, 75, 11, 136, 87, 303, 268

Let us observe the differences between successive terms:

1st to 2nd term:
11+43=11+64=75

2nd to 3rd term:
75-82=75-64=11

3rd to 4th term:
11+53=11+125=136

4th to 5th term:
136-72=136-49=87

5th to 6th term:
87+63=87+216=303

6th to 7th term:
Following the pattern of alternating addition of cubes of increasing numbers (43,53,63) and subtraction of squares of decreasing numbers (82,72,62), the next operation should be subtracting 62:

303-62=303-36=267

However, the given series has 268 instead of 267.

Therefore, 268 is the term that does not conform to the pattern.

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