Question Details

How many even digits are there between sixth digit from both the ends?
Observe the given digit series carefully and answer the questions based on it.
6 8 4 9 3 4 8 9 5 9 2 7 6 1 8 4 3 9 2 5

Options

A

One

B

Two

C

Three

D

Four

E

None

Show Answer

Correct Answer :

Option C

Three

Solution :

The correct option is Three.

Let's analyze the given digit series step-by-step:

Series:
6, 8, 4, 9, 3, 4, 8, 9, 5, 9, 2, 7, 6, 1, 8, 4, 3, 9, 2, 5

Step 1: Identify the sixth digit from the left end.
Counting from left to right:
1st digit: 6
2nd digit: 8
3rd digit: 4
4th digit: 9
5th digit: 3
6th digit from the left: 4 (at position 6)

Step 2: Identify the sixth digit from the right end.
Counting from right to left:
1st digit: 5
2nd digit: 2
3rd digit: 9
4th digit: 3
5th digit: 4
6th digit from the right: 8 (at position 15)

Step 3: List the digits lying between these two boundary positions.
The digits strictly between the 6th digit from the left (position 6, value 4) and the 6th digit from the right (position 15, value 8) are the elements from position 7 to position 14:
8, 9, 5, 9, 2, 7, 6, 1

Step 4: Count the even digits in this sub-series.
Let's check each digit between them for evenness (divisible by 2):
- 8 : Even
- 9 : Odd
- 5 : Odd
- 9 : Odd
- 2 : Even
- 7 : Odd
- 6 : Even
- 1 : Odd

The even digits found are 8, 2, and 6.

Therefore, there are Three even digits between the sixth digit from both ends.

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