Advertisements
Advertisements
Question
In the following number, replace * by the smallest number to make it divisible by 11:
1723*4
Advertisements
Solution
1723*4
Sum of the digits at odd places 4+ 3+ 7= 14
Sum of the digits at even places *+2+1 = 3 + *
Difference = sum of odd terms – sum of even terms
= 14 – (3 + *)
= 11 − *
Now, (11 − *) will be divisible by 11 if * = 0.
i.e., 11 − 0 = 11
11 is divisible by 11.
∴ * = 0
Hence, the number is 172304.
APPEARS IN
RELATED QUESTIONS
Test the divisibility of the following number by 2:
2650
Test the divisibility of the following numbers by 6:
251780
Test the divisibility of the following numbers by 6:
872536
Test the divisibility of the following number by 11:
137269
In the following number, replace * by the smallest number to make it divisible by 3:
234*17
In the following number, replace * by the smallest number to make it divisible by 9:
65*5
In the following number, replace * by the smallest number to make it divisible by 9:
2*135
Write (T) for true and (F) for false against the following statement:
If a number is divisible by 4, it must be divisible by 8.
Find the greatest number which divides 2011 and 2623, leaving remainders 9 and 5 respectively.
Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):
|
Number |
Divisible by |
||||||||
|
2 |
3 |
4 |
5 |
6 |
8 |
9 |
10 |
11 |
|
|
128 |
Yes |
No |
Yes |
No |
No |
Yes |
No |
No |
No |
|
990 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
1586 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
275 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
6686 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
639210 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
429714 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
2856 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
3060 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
|
406839 |
______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |
