0

Guest

Courses New

Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11: 92 __ 389

Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11: 
92 __ 389 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let ‘a’ be placed here
Sum of its digits at odd places = 9 + 3 + 2
= 14Sum of its digits at even places = 8 + a + 9
= 17 + a
Difference = 17 + a–14
=3 +a
The difference should be 0 or a multiple of 11, then the number is divisible by 11
If 3 + a = 0
a = -3
But it cannot be a negative
Taking a closest multiple of 11 which is near to 3
It is 11 which is near to 3
Now, 3 + a = 11
a = 11–3
a=8
Therefore the required digit is 8

Thanks

Think You Can Provide A Better Answer ?

Other Related Questions on 6 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More