5 Views

Question : What are the values of ‘&’ and ‘#’, respectively, if the following number is perfectly divisible by 9?
51&918#0

Option 1: 9 and 8

Option 2: 2 and 2

Option 3: 4 and 5

Option 4: 8 and 4


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 8 and 4


Solution : Divisibility rule of 9 ⇒ If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.
51&918#0
= 5 + 1 + & + 9 + 1 + 8 + # + 0
= 24 + & + #
The nearest multiple of 9 is 27, 36.
So, & + # should be either 3 or 12.
So, from the options, we can infer that
8 + 4 = 12
$\therefore$ 51891840 = 5 + 1 + 8 + 9 + 1 + 8 + 4 + 0 = 36
Since 36 is divisible by 9, the number formed is perfectly divisible by 9.
Hence, the correct answer is 8 and 4.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books