Advertisements
Advertisements
प्रश्न
In the following number, replace * by the smallest number to make it divisible by 11:
26*5
Advertisements
उत्तर
26*5
Sum of the digits at odd places = 5 + 6 = 11
Sum of the digits at even places = * + 2
Difference = sum of odd terms – sum of even terms
= 11 – (* + 2)
= 11 – * – 2
= 9 – *
Now, (9 – *) will be divisible by 11 if * = 9.
i.e., 9 – 9 = 0
0 is divisible by 11.
∴ * = 9
Hence, the number is 2695.
APPEARS IN
संबंधित प्रश्न
Test the divisibility of the following number by 2:
789403
Test the divisibility of the following numbers by 6:
71232
Test the divisibility of the following numbers by 7:
826
Test the divisibility of the following numbers by 8:
36792
Test the divisibility of the following numbers by 9:
2358
State if the following is a prime number?
179
Write (T) for true and (F) for false against the following statement:
If a number is divisible by 3 and 7, it must be divisible by 21.
Which of the following numbers is divisible by 8?
Which of the following numbers is divisible by 11?
Why are divisibility tests useful?
