Refer to the given series and answer the question that follows. (All numbers are single digit numbers only.) Counting to be done from left to right only.
(Left) 9 6 9 4 7 8 9 9 1 6 7 3 6 5 9 7 4 7 1 7 7 8 3 4 6 9 3 (Right)
How many such even numbers are there, each of which is immediately preceded by an odd number and also immediately followed by an even number?
- AOption (a)
0
- BOption (b)
3
- COption (c)
1
- DOption (d)
2
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Correct answer
1
Why this answer is correct
Shortcut Trick
Condition to check: Odd Number → Even Number → Even Number
Instead of checking every single number, directly scan the series for two consecutive even numbers.
The only consecutive even numbers in the entire series are 4 and 6 near the end.
Check the number before 4: It is 3 (an Odd number).
Thus, the triplet 3, 4, 6 is the only one that perfectly satisfies the required condition.
∴ The correct answer is 1.
Alternate Method
Given Series:
9 6 9 4 7 8 9 9 1 6 7 3 6 5 9 7 4 7 1 7 7 8 3 4 6 9 3
Condition to be fulfilled:
⇒ Odd Number → Even Number → Even Number
Let us identify all the even numbers in the series from left to right and check their adjacent numbers:
⇒ 9, 6, 9 → Preceded by Odd, Followed by Odd ×
⇒ 9, 4, 7 → Preceded by Odd, Followed by Odd ×
⇒ 7, 8, 9 → Preceded by Odd, Followed by Odd ×
⇒ 1, 6, 7 → Preceded by Odd, Followed by Odd ×
⇒ 3, 6, 5 → Preceded by Odd, Followed by Odd ×
⇒ 7, 4, 7 → Preceded by Odd, Followed by Odd ×
⇒ 7, 8, 3 → Preceded by Odd, Followed by Odd ×
⇒ 3, 4, 6 → Preceded by Odd, Followed by Even ✔
⇒ 4, 6, 9 → Preceded by Even, Followed by Odd ×
⇒ Clearly, there is only one such even number (4) which is immediately preceded by an odd number and immediately followed by an even number.
∴ The correct answer is 1.
Additional Information
Preceded By
In any reasoning sequence, if an element X is 'preceded by' Y, it means Y comes immediately before X in the series (i.e., Y → X).
Followed By
If an element X is 'followed by' Z, it means Z comes immediately after X in the sequence (i.e., X → Z).
Odd and Even Numbers
An even number is an integer perfectly divisible by 2 (e.g., 2, 4, 6, 8), while an odd number leaves a remainder of 1 when divided by 2 (e.g., 1, 3, 5, 7, 9).