Refer to the following series(Left) 2 1 7 9 4 5 3 4 4 1 8 2 2 4 4 9 7 6 9 9 4 6 2 9 9 8 7 (Right)
Refer to the following series and answer the question that follows (all numbers are single digit numbers only). Counting to be done from left to right only.
निम्नलिखित संख्या श्रृंखला का संदर्भ लीजिए तथा दिए गए प्रश्न का उत्तर दीजिए। (सभी संख्याएँ केवल एकल-अंकीय हैं।) गिनती केवल बाएँ से दाएँ की जानी है।
(Left) 2 1 7 9 4 5 3 4 4 1 8 2 2 4 4 9 7 6 9 9 4 6 2 9 9 8 7 (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 odd number?
ऐसी कितनी विषम संख्याएँ हैं (बाएँ से दाएँ), जिनमें से प्रत्येक के ठीक पहले एक विषम संख्या है और ठीक बाद भी एक विषम संख्या है?
Detailed Solution & Logic
1
We are asked to count the odd numbers which are immediately preceded and followed by odd numbers in the series:
2, 1, 7, 9, 4, 5, 3, 4, 4, 1, 8, 2, 2, 4, 4, 9, 7, 6, 9, 9, 4, 6, 2, 9, 9, 8, 7
Step 1: Identify odd numbers
Odd numbers are: 1, 3, 5, 7, 9
Step 2: Check each odd number (except first and last)
We need an odd number immediately preceded and followed by odd numbers.
-
Sequence positions with odd numbers:
1 → neighbors 2 (even) & 7 (odd) → No
7 → neighbors 1 (odd) & 9 (odd) → Yes ✅
9 → neighbors 7 (odd) & 4 (even) → No
5 → neighbors 4 (even) & 3 (odd) → No
3 → neighbors 5 (odd) & 4 (even) → No
1 → neighbors 4 (even) & 8 (even) → No
9 → neighbors 4 (even) & 7 (odd) → No
7 → neighbors 9 (odd) & 6 (even) → No
9 → neighbors 6 (even) & 9 (odd) → No
9 → neighbors 9 (odd) & 4 (even) → No
9 → neighbors 2 (even) & 9 (odd) → No
9 → neighbors 9 (odd) & 8 (even) → No
7 → last number, ignore
Step 3: Count
Only one number (7) satisfies the condition.
Answer: 1
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