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In the following number sequence, how many such even numbers are there which are exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number?

3  8  4  1  5  7  2  8  3  4  8  9  3  9  4  2  1  5  8  2

  • a)
    One

  • b)
    Two

  • c)
    Three

  • d)
    Four

  • e)
    None of these

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In the following number sequence, how many such even numbers are there...
Let's analyze the sequence and determine how many even numbers satisfy the conditions:


Sequence: 3, 8, 4, 1, 5, 7, 2, 8, 3, 4, 8, 9, 3, 9, 4, 2, 1, 5, 8, 2


Step-by-Step Analysis:




  1. Number 8 (2nd position):



    • Preceding number: 3 → 8 is not divisible by 3.

    • Following number: 4 → Condition not met, ignore this 8.




  2. Number 4 (3rd position):



    • Preceding number: 8 → 4 is not divisible by 8.

    • Following number: 1 → Condition not met, ignore this 4.




  3. Number 2 (7th position):



    • Preceding number: 7 → 2 is not divisible by 7.

    • Following number: 8 → Condition not met, ignore this 2.




  4. Number 8 (8th position):



    • Preceding number: 2 → 8 is divisible by 2.

    • Following number: 3 → 8 is not divisible by 3.

    • Condition met: Include this 8.




  5. Number 4 (10th position):



    • Preceding number: 3 → 4 is not divisible by 3.

    • Following number: 8 → Condition not met, ignore this 4.




  6. Number 8 (11th position):



    • Preceding number: 4 → 8 is divisible by 4.

    • Following number: 9 → 8 is not divisible by 9.

    • Condition met: Include this 8.




  7. Number 4 (15th position):



    • Preceding number: 9 → 4 is not divisible by 9.

    • Following number: 2 → Condition not met, ignore this 4.




  8. Number 2 (16th position):



    • Preceding number: 4 → 2 is not divisible by 4.

    • Following number: 1 → Condition not met, ignore this 2.




  9. Number 8 (19th position):



    • Preceding number: 5 → 8 is not divisible by 5.

    • Following number: 2 → Condition not met, ignore this 8.




  10. Number 2 (20th position):



    • This is the last number in the sequence, so no following number to check.





Conclusion:


The numbers that satisfy the conditions are the 8 at positions 8 and 11.


Thus, the correct answer is b) Two.
Free Test
Community Answer
In the following number sequence, how many such even numbers are there...
Because
1.from the right 10th no. is 8 and its immediate no. is 4 and 8 is divisible by 4.
2.from the right 13th no. is also 8 and its immediate no. is 2 and 8 is divisible by 2.
that's all...
it's very simple...
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