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
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).
Important Questions from Arrangement and Pattern
Which of the following options represents the correct order of the given words as they would appear in the English dictionary?
1. Glob
2. Globule
3. Global
4. Globe
5. Gloom
If the letters of the word ADISNHPANRKARFACHTARKYAR were written in reverse order, then which would be the third letter to the right of the ninth letter from the left?
In the English alphabet written in order from left to right, if the first and third letters are interchanged. second and fourth letters are interchanged and so on, which of the following will be the thirteenth letter from the left?
What will come in place of ‘?’ in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘+’ are interchanged?
50 + 72 – 3 × 96 × 36 = ?
Identify the option figure that can replace the question mark (?) in the following series to logically complete the series?
