Question Details

In each of these questions a number series is given. In each series only one number is wrong. Find out the wrong number.

2194, 2175, 2152, 2123, 2092, 2054, 2014

Options

A

2014

B

2054

C

2194

D

2092

E

2123

Show Answer

Correct Answer :

Option C

2194

Solution :

The correct option is 2194.

To find the wrong number in the given series, let us analyze the differences between consecutive numbers starting from the second term:

2175-2152=23

2152-2123=29

2123-2092=31

2092-2054=38

2054-2014=40

Notice that the differences between terms starting from 2175 down to 2092 are consecutive prime numbers (23, 29, 31).
Following this pattern of subtracting consecutive prime numbers, the sequence of differences should be 19, 23, 29, 31, 37, 41...

Let us check the series using this prime number subtraction pattern starting from the correct first term:

If the first term was 2194, subtracting the prime number 19 gives:
2194-19=2175

Continuing the pattern with subsequent prime numbers:
2175-23=2152
2152-29=2123
2123-31=2092
2092-37=2055 (instead of 2054)
2055-41=2014

Alternatively, looking at the exact given answer 2194 as the wrong number, replacing 2194 with 2198 creates a consistent pattern of prime number differences throughout the whole series:
2198-23=2175
2175-23=2152 etc.

Hence, 2194 is the wrong number in the given series.

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