Question Details

1024, 64, 8, 2, 1, 1, 4
In each of these questions a number series is given. In each series only one number is wrong. Find out the wrong number.

Options

A

4

B

1024

C

64

D

8

Show Answer

Correct Answer :

Option A

4

4

Solution :

The correct option is 4.

Let us analyze the given number series to find the underlying pattern. The series is:
1024, 64, 8, 2, 1, 1, 4

Let us examine the ratio of consecutive terms in the series starting from the first term:

1024 ÷ 16 = 64

64 ÷ 8 = 8

8 ÷ 4 = 2

2 ÷ 2 = 1

1 ÷ 1 = 1

Observe the divisors in each step:
16, 8, 4, 2, 1
Each divisor is divided by 2 to obtain the next divisor. Following this established pattern, the next divisor after 1 should be:

1 ÷ 2 = 0.5

Therefore, the next term in the series is calculated by dividing the current term (1) by the next divisor (0.5):

1 ÷ 0.5 = 2

However, the seventh term given in the series is 4 instead of 2. Thus, 4 is the wrong number in the series.

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