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 is divisible by 4, it must be divisible by 8.
Which of the following statement is true?
If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
Which of the following statement is true?
If two numbers are co-prime, at least one of them must be a prime number.
Do you remember magic triangles? Come now, let s make some magic squares.
- Fill this square using all the numbers from 46 to 54.
Rule: The total of each line is 150.
Now you try and change these numbers into special numbers —
273
20 × 3 is a multiple of 3 if the digit × is ______ or ______ or ______.
A four-digit number abcd is divisible by 11, if d + b = ______ or ______.
If 148101B095 is divisible by 33, find the value of B.
Fill in the blank space in the same way.
