Advertisements
Advertisements
प्रश्न
If 56 × 32y is divisible by 18, find the least value of y.
Advertisements
उत्तर
It is given that, the number 56 × 32y is divisible by 18.
Then, it is also divisible by each factor of 18.
Thus, it is divisible by 2 as well as 3.
Now, the number is divisible by -2, its unit’s digit must be an even number that is 0, 2, 4, 6, Therefore, the least value of y is 0.
Again, the number is divisible by 3 also, sum of its digits is a multiple of 3. i.e. 5 + 6 + x + 3 + 2 + y is a multiple of 3
⇒ 16 + x + y = 0, 3, 6, 9,...
⇒ 16 + x = 18
⇒ x = 2, which is the least value of x.
APPEARS IN
संबंधित प्रश्न
Given an example of a number which is divisible by 4 but not by 8.
Which of the following statement is true?
If a number divides three numbers exactly, it must divide their sum exactly.
Fill in the blank space in the same way.
Now you try and change these numbers into special numbers —
28
If 
then A = ______ and B = ______.
If 
then B = ______.
A four-digit number abcd is divisible by 11, if d + b = ______ or ______.
If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4.
1y3y6 is divisible by 11. Find the value of y.
Fill in the blank space in the same way.
