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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
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?
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Verified 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:
Number 8 (2nd position):
- Preceding number: 3 → 8 is not divisible by 3.
- Following number: 4 → Condition not met, ignore this 8.
Number 4 (3rd position):
- Preceding number: 8 → 4 is not divisible by 8.
- Following number: 1 → Condition not met, ignore this 4.
Number 2 (7th position):
- Preceding number: 7 → 2 is not divisible by 7.
- Following number: 8 → Condition not met, ignore this 2.
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.
Number 4 (10th position):
- Preceding number: 3 → 4 is not divisible by 3.
- Following number: 8 → Condition not met, ignore this 4.
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.
Number 4 (15th position):
- Preceding number: 9 → 4 is not divisible by 9.
- Following number: 2 → Condition not met, ignore this 4.
Number 2 (16th position):
- Preceding number: 4 → 2 is not divisible by 4.
- Following number: 1 → Condition not met, ignore this 2.
Number 8 (19th position):
- Preceding number: 5 → 8 is not divisible by 5.
- Following number: 2 → Condition not met, ignore this 8.
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.
Most Upvoted 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...
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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Community Answer
In the following number sequence, how many such even numbers are there...
Explanation:
To find the even numbers in the sequence, we need to check each number in the sequence.
We need to find the even numbers which are exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number.
If there is only one even number that satisfies the above condition, then the answer is option 'A', if there are two even numbers that satisfy the condition, then the answer is option 'B', and so on.
Let's check the sequence to find the even numbers that satisfy the above condition.
Solution:
Therefore, there are two even numbers (8 and 4) in the sequence that satisfy the given condition. Hence, the answer is option 'B'.
To find the even numbers in the sequence, we need to check each number in the sequence.
We need to find the even numbers which are exactly divisible by its immediate preceding number but not exactly divisible by its immediate following number.
If there is only one even number that satisfies the above condition, then the answer is option 'A', if there are two even numbers that satisfy the condition, then the answer is option 'B', and so on.
Let's check the sequence to find the even numbers that satisfy the above condition.
- 3 8 4 1 5 7 2 8 3 4 8 9 3 9 4 2 1 5 8 2
Solution:
- 8 is exactly divisible by 3, but not exactly divisible by 4.
- 4 is exactly divisible by 8, but not exactly divisible by 1.
- 8 is exactly divisible by 2, but not exactly divisible by 3.
- 4 is exactly divisible by 3, but not exactly divisible by 9.
Therefore, there are two even numbers (8 and 4) in the sequence that satisfy the given condition. Hence, the answer is option 'B'.
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