Advertisements
Advertisements
प्रश्न
If 148101B095 is divisible by 33, find the value of B.
उत्तर
Given that the number 148101S095 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
Without performing actual addition and division write the quotient when the sum of 69 and 96 is divided by
(i) 11
(ii) 15
If sum of the number 985 and two other numbers obtained by arranging the digits of 985 in cyclic order is divided by 111, 22 and 37 respectively. Find the quotient in each case.
Which of the following statement is true?
If a number is divisible by 8, it must be divisible by 4.
Which of the following statement is true?
A number is divisible by 18, if it is divisible by both 3 and 6.
Use the same rule to fill the hexagons below.
Now you also make your own magic hexagons.
If a 3-digit number abc is divisible by 11, then ______ is either 0 or multiple of 11.
A four-digit number abcd is divisible by 4 if ab is divisible by 4.
756x is a multiple of 11, find the value of x.
If 123123A4 is divisible by 11, find the value of A.
Fill in the blank space in the same way.
