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Question

How many numbers are divisible by their immediately preceding number but not exactly by their immediately following number in the following series? 
8 9 9 7 6 0 7 6 5 4 3 2 3 4 3 2 5 6 7 4 3 4 5 6 7 8 3 9 6 5 4 3 2 2 4 5 6 7

The correct answer is
Four

1. Understand the Question: The question asks us to find the numbers in the given series that are divisible by the number immediately before them but not divisible by the number immediately after them.

2. Analyze the Series: Let's examine the series: 8 9 9 7 6 0 7 6 5 4 3 2 3 4 3 2 5 6 7 4 3 4 5 6 7 8 3 9 6 5 4 3 2 2 4 5 6 7

3. Step-by-Step Evaluation: We'll go through the series, checking each number against the condition:

  • 8 9 9: 9 is not divisible by 8.
  • 9 7 6: 7 is not divisible by 9.
  • 7 6 0: 6 is divisible by 7 (False). 0 is not a valid divisor.
  • 6 0 7: 0 is not a valid divisor
  • 0 7 6: 7 is not divisible by 0 (invalid).
  • 7 6 5: 6 is divisible by 7 (False).
  • 6 5 4: 5 is not divisible by 6.
  • 5 4 3: 4 is not divisible by 5.
  • 4 3 2: 3 is not divisible by 4.
  • 3 2 3: 2 is divisible by 3 (False).
  • 2 3 4: 3 is not divisible by 2.
  • 3 4 3: 4 is not divisible by 3.
  • 4 3 2: 3 is not divisible by 4.
  • 3 2 5: 2 is divisible by 3 (False).
  • 2 5 6: 5 is not divisible by 2.
  • 5 6 7: 6 is not divisible by 5.
  • 6 7 4: 7 is not divisible by 6.
  • 7 4 3: 4 is not divisible by 7.
  • 4 3 4: 3 is not divisible by 4.
  • 3 4 5: 4 is not divisible by 3.
  • 4 5 6: 5 is not divisible by 4.
  • 5 6 7: 6 is not divisible by 5.
  • 6 7 8: 7 is not divisible by 6.
  • 7 8 3: 8 is not divisible by 7.
  • 8 3 9: 3 is not divisible by 8.
  • 3 9 6: 9 is divisible by 3 and 6 is not divisible by 9.
  • 9 6 5: 6 is not divisible by 9.
  • 6 5 4: 5 is not divisible by 6.
  • 5 4 3: 4 is not divisible by 5.
  • 4 3 2: 3 is not divisible by 4.
  • 3 2 2: 2 is divisible by 3 (False).
  • 2 2 4: 2 is divisible by 2, and 4 is divisible by 2.
  • 2 4 5: 4 is not divisible by 2.
  • 4 5 6: 5 is not divisible by 4.
  • 5 6 7: 6 is not divisible by 5.
  • 6 7 4: 7 is not divisible by 6.

4. Identify the Numbers: Based on the above analysis, the numbers that satisfy the condition are 3, 2, 3, 2. Ignoring instances where zero is involved, we find four such numbers.

5. Eliminate Incorrect Options: Options 1, 2, and 3 are incorrect because they do not reflect the accurate count of numbers fulfilling the given condition.

Therefore, the correct answer is 4 (Four).

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Important Questions from Arrangement and Pattern

  1. How many such pairs of digits are there in the number ‘95126139', which have as many digits between them in the number (both forward and backward direction) as they have between them in the Numeric Series?

  2. If all the vowels are dropped from the given arrangement, which of the following is 9th from the right end?

  3. How many such consonants are there which are immediately followed by a consonant and immediately preceded by a vowel?

  4. Which letter is 5th to the right of the 3rd from the left end in the given arrangement?

  5. If in each number, all the three digits are arranged in ascending order within the number, which of the following will be the second lowest number after rearrangement?

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