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What is the smallest number that should be added to 27452 to make it exactly divisible by 9?
If we divide 27452 by 9 the remainder will be 2. Since the question asks for the number to added, we will find out the difference between next number divisible.
92= 7
We will add 7 to 27452 = 27459 which is divisible by 9.
If 522x is a three digit number with as a digit x . If the number is divisible by 6, What is the value of the digit x is?
The correct option is Option E.
Given,
522x is a three digit number but actually, it's a four digit number
522x is divisible by 6 if it's divisible by 2 and 3 both
522x would be divisible by 2
If 5 + 2 + 2 + x is divisible by 3
If 9 + x is divisible by 3
If x = 0, 3, 6 or 9
Taking intersection of 0, 2, 4, 6 or 8 and 0, 3, 6 or 9
x = 0 or 6
5220 and 5226is divisible by 6
If we take 522x is three digit number then 52y should be divisible by 6 where y = 2x
52y is divisible by 3
If 5 + 2 + y is divisible by 3
If y = 2, 5, 8
Taking common y = 2 or 8
y = 2x
=> x = 1 or 4
522 and 528 are divisible by 6
What is the least value of x such that 7648x is divisible by 11?
A number is divisible by 11 when the difference between the sum of digits at even places and at odd places is 0 or multiple of 11
The given number is 7648x.
(Sum of digits at EVEN places) – (sum of digits at ODD places) = 0
⇒ (6 + 8 )  ( X + 7 + 4 ) = 0
⇒ 14  ( X + 11 ) = 0
Here the value of x must be 3
So, the least value of x is 3.
If M183 is divisible by 11, find the value of the smallest natural number M ?
A number is divisible by 11, when the difference between the sum of digits at even places and at odd places is 0 or multiple of 11. The given number is M183.
(Sum of digits at EVEN places) – (sum of digits at ODD places) = 0
(8 + M ) (3+1)= 0
(8 + M )  4 = 0
Here the value of M must be 7 .
What least whole number should be added to 532869 to make it divisible by 9?
Answer : C
Explanation:If a number is divisible by 9, the sum of its digits must be a multiple of 9. Here, 5+3+2+8+6+9=33, the next multiple of 9 is 36.3 must be added to 532869 to make it divisible by 9.
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