4 Views

Question : If a nine-digit number 789x6378y is divisible by 72, then the value of xy is:

Option 1: 10

Option 2: 12

Option 3: 8

Option 4: 15


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 8


Solution : Given number = 789x6378y
Since the number is divisible by 72
It means it is divisible by 8 and 9 both.
For divisible by 8 ⇒ last 3 digits 78y is divisible by 8 when y = 4
Now, the number becomes 789x63784
For divisible by 9 ⇒ 7 + 8 + 9 + x + 6 + 3 + 7 + 8 + 4 = (52 + x)
This is divisible by 9 only when x = 2
Now, The value of xy = 2 × 4 = 8
Hence, the correct answer is 8.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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