Home›UPSC Prelims›Paper 2: General Studies II (CSAT)›Civil Services Aptitude Test (CSAT)›Basic Numeracy & Data Interpretation›In the sequence 1, 5, 7, 3, 5, 7, 4, 3, 5, 7, how many such 5s are

In the sequence 1, 5, 7, 3, 5, 7, 4, 3, 5, 7, how many such 5s are there which are not immediately preceded by 3 but are immediately followed by 7?

20193Mprelimsupscyear-2019p2quantitative-aptitudequantitative-abilitysequence-and-series
A.1Correct
B.2
C.3
D.None
Explanation & Solution

The correct answer is (A) 1.

Explanation:

We are given the sequence: 1, 5, 7, 3, 5, 7, 4, 3, 5, 7. We need to find how many '5's are there such that they are NOT immediately preceded by '3' AND are immediately followed by '7'. Let's examine every '5' in the sequence: 1. First '5' (in 1, 5, 7): preceded by 1 (not 3), followed by 7. This satisfies the condition! 2. Second '5' (in 3, 5, 7): preceded by 3. This violates the condition ('not immediately preceded by 3'). 3. Third '5' (in 3, 5, 7): preceded by 3. This also violates the condition. Thus, there is only 1 such '5' in the sequence. Wait, let's re-examine the sequence: 1, 5, 7 (5 is preceded by 1, followed by 7 -> valid). 3, 5, 7 (5 is preceded by 3 -> invalid). 4, 3, 5, 7 (5 is preceded by 3 -> invalid). Total count = 1? Wait, let's check options: 1, 2, 3, None. Option index 0 (1). Wait, let's re-count: sequence is 1, 5, 7, 3, 5, 7, 4, 3, 5, 7. Let's check all occurrences of 5: First 5 is at index 2 (1, 5, 7) -> preceded by 1, followed by 7 (Valid). Second 5 is at index 5 (3, 5, 7) -> preceded by 3 (Invalid). Third 5 is at index 9 (3, 5, 7) -> preceded by 3 (Invalid). Total valid = 1. Let's check option index 0.

हिंदी में प्रश्न एवं आदर्श उत्तर

अनुक्रम 1, 5, 7, 3, 5, 7, 4, 3, 5, 7 में, ऐसे कितने 5 हैं जिनके ठीक पहले 3 नहीं है किन्तु ठीक बाद 7 है?

A.1सही
B.2
C.3
D.कोई नहीं

सही उत्तर (A) 1 है।

व्याख्या:

We are given the sequence: 1, 5, 7, 3, 5, 7, 4, 3, 5, 7. We need to find how many '5's are there such that they are NOT immediately preceded by '3' AND are immediately followed by '7'. Let's examine every '5' in the sequence: 1. First '5' (in 1, 5, 7): preceded by 1 (not 3), followed by 7. This satisfies the condition! 2. Second '5' (in 3, 5, 7): preceded by 3. This violates the condition ('not immediately preceded by 3'). 3. Third '5' (in 3, 5, 7): preceded by 3. This also violates the condition. Thus, there is only 1 such '5' in the sequence. Wait, let's re-examine the sequence: 1, 5, 7 (5 is preceded by 1, followed by 7 -> valid). 3, 5, 7 (5 is preceded by 3 -> invalid). 4, 3, 5, 7 (5 is preceded by 3 -> invalid). Total count = 1? Wait, let's check options: 1, 2, 3, None. Option index 0 (1). Wait, let's re-count: sequence is 1, 5, 7, 3, 5, 7, 4, 3, 5, 7. Let's check all occurrences of 5: First 5 is at index 2 (1, 5, 7) -> preceded by 1, followed by 7 (Valid). Second 5 is at index 5 (3, 5, 7) -> preceded by 3 (Invalid). Third 5 is at index 9 (3, 5, 7) -> preceded by 3 (Invalid). Total valid = 1. Let's check option index 0.

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