How many 8's are there in the following numbe | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To find the number of $8$'s that are divisible by both the preceding and succeeding numbers,we examine each $8$ in the series:$1$. The first $8$ (

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(D) To find the number of $8$'s that are divisible by both the preceding and succeeding numbers,we examine each $8$ in the series:$1$. The first $8$ (at index $8$): Preceded by $2$,succeeded by $4$. $8$ is divisible by $2$ $(8/2 = 4)$ and $8$ is divisible by $4$ $(8/4 = 2)$. This is a valid $8$.$2$. The second $8$ (at index $10$): Preceded by $4$,succeeded by $4$. $8$ is divisible by $4$ $(8/4 = 2)$. This is a valid $8$.$3$. The third $8$ (at index $14$): Preceded by $2$,succeeded by $2$. $8$ is divisible by $2$ $(8/2 = 4)$. This is a valid $8$.$4$. The fourth $8$ (at index $18$): Preceded by $9$,succeeded by $4$. $8$ is not divisible by $9$. Not valid.$5$. The fifth $8$ (at index $22$): Preceded by $4$,succeeded by $3$. $8$ is not divisible by $3$. Not valid.$6$. The sixth $8$ (at index $25$): Preceded by $2$,succeeded by $4$. $8$ is divisible by $2$ $(8/2 = 4)$ and $8$ is divisible by $4$ $(8/4 = 2)$. This is a valid $8$.$7$. The seventh $8$ (at index $29$): Preceded by $1$,succeeded by $3$. $8$ is not divisible by $3$. Not valid.Thus,there are $4$ such $8$'s.

How many $8$'s are there in the following number series which are exactly divisible by their immediately preceding and also divisible by their immediately succeeding numbers?
$8, 2, 4, 5, 1, 7, 2, 8, 4, 8, 4, 2, 2, 8, 2, 6, 9, 8, 4, 5, 4, 8, 3, 2, 8, 4, 3, 1, 8, 3$

Similar Questions

If Thursday was the day after the day before yesterday five days ago, what is the least number of days ago when Sunday was three days before the day after tomorrow?

In the sequence $5, 1, 4, 7, 3, 9, 8, 5, 7, 2, 6, 3, 1, 5, 8, 6, 3, 8, 5, 2, 2, 4, 3, 4, 9, 6$,how many odd numbers are there which are immediately preceded and also immediately followed by an even number?

Madhu is $18^{th}$ from the left end and Sandhu is $11^{th}$ from the right end of a row of $40$ children. How many children are there between Madhu and Sandhu in the row?

The priest told the devotee,"The temple bell is rung at regular intervals of $45 \, \text{minutes}$. The last bell was rung five minutes ago. The next bell is due to be rung at $7:45 \, \text{a.m.}$" At what time did the priest give this information to the devotee?

Ram remembers that Lakshman's birthday is after $19^{th}$ but before $22^{nd}$ November,whereas Anil remembers that Lakshman's birthday is after $20^{th}$ but before $24^{th}$ November. Which day is Lakshman's birthday?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

How many $8$'s are there in the following number series which are exactly divisible by their immediately preceding and also divisible by their immediately succeeding numbers?$8, 2, 4, 5, 1, 7, 2, 8, 4, 8, 4, 2, 2, 8, 2, 6, 9, 8, 4, 5, 4, 8, 3, 2, 8, 4, 3, 1, 8, 3$