Question Details

Find out the missing term of the number series given below.

54, 67, 50, 63, 46, ?

Options

A

63

B

29

C

33

D

51

E

59

Show Answer

Correct Answer :

Option E

59

59

Solution :

The correct option/answer is 59.

To find the missing term of the number series, let us analyze the pattern of the given numbers:
54, 67, 50, 63, 46, ?

Let us look at the differences between consecutive terms in the series:

54+13=67

67-17=50

50+13=63

63-17=46

We can observe that the pattern alternates between adding 13 and subtracting 17:
1st term to 2nd term: +13
2nd term to 3rd term: -17
3rd term to 4th term: +13
4th term to 5th term: -17

Following this alternating pattern, the next operation to get the 6th term from the 5th term must be to add 13:

46+13=59

Alternatively, we can view this as two interleaved series:
First series (at odd positions): 54, 50, 46 (where each term decreases by 4)
Second series (at even positions): 67, 63, ? (where each term decreases by 4)

Following the second series, the next term is:

63-4=59

Thus, the missing term is 59.

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