Advertisements
Advertisements
प्रश्न
If 148101B095 is divisible by 33, find the value of B.
Advertisements
उत्तर
Given that the number 148101B095 is divisible by 33, therefore it is also divisible by 3 and 11 both.
Now, the number is divisible by 3, its sum of digits is a multiple of 3. i.e. 1 + 4 + 8 + 1 + 0 + 1 + B + 0 + 9 + 5 is a multiple of 3.
29 + B = 0, 3, 6, 9,...
⇒ B = 1, 4, 7 ...(i)
Also, given number is divisible by 11, therefore
(1 + 8 + 0 + B + 9) – (4 + 1 + 1 + 0 + 5) = 0, 11, 22,...
⇒ (18 + B) – 11 = 0, 11, 22
B + 7 = 0, 11, 22
⇒ B + 7 = 11
⇒ B = 4 ...(ii)
From equations (i) and (ii), we have
B = 4
APPEARS IN
संबंधित प्रश्न
Which of the following statement is true?
A number is divisible by 18, if it is divisible by both 3 and 6.
Which of the following statement is true?
The sum of two consecutive odd numbers is always divisible by 4.
Do you remember magic triangles? Come now, let s make some magic squares.
- Fill this square using all the numbers from 21 to 29.
Rule: The total of each side is 75.
Now you try and change these numbers into special numbers —
28
Now you try and change these numbers into special numbers —
273
If 
then A = ______ and B = ______.
If A × 3 = 1A, then A = ______.
If AB × 4 = 192, then A + B = 7.
If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14.
Find the value of k where 31k2 is divisible by 6.
