Odd numbers immediately preceded by an odd number and also immediately followed by an even number?
Refer to the following number series and answer the question that follows (all numbers are single-digit numbers only).
निम्नलिखित संख्या-श्रृंखला का संदर्भ लीजिए तथा दिए गए प्रश्न का उत्तर दीजिए।
गिनती केवल बाएँ से दाएँ की जानी है। (सभी संख्याएँ एकल-अंकीय हैं।)
(Left) 4 3 5 1 2 9 8 9 4 7 7 4 5 4 8 5 6 2 4 7 3 3 4 6 3 7 5 (Right)
How many such odd numbers are there (from left to right), each of which is immediately preceded by an odd number and also immediately followed by an even number?
ऐसी कितनी सम संख्याएँ हैं, जिनमें से प्रत्येक के ठीक पहले एक सम संख्या है और ठीक बाद एक अभाज्य संख्या है?
Detailed Solution & Logic
3
Required condition
We need the pattern:
(Odd, Odd, Even)
Odd numbers = 1, 3, 5, 7, 9
Even numbers = 2, 4, 6, 8
Checking left to right
Series:
4 3 5 1 2 9 8 9 4 7 7 4 5 4 8 5 6 2 4 7 3 3 4 6 3 7 5
Now find positions where:
-
Previous number → Odd
-
Middle number → Odd (count this)
-
Next number → Even
Valid cases:
-
5 1 2 ✅ (Odd, Odd, Even) → count 1
-
7 7 4 ✅ → count 2
-
3 3 4 ✅ → count 3
No other group satisfies the condition.
✅ Final Answer:
👉 3 such odd numbers.
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