If 7364x is divisible by 11, what will be the value of x?1. 72. 63. 54

1.	If 7364x is divisible by 11, what will be the value of x?1. 72. 63. 54. 4
Answer» Correct Answer - Option 3 : 5 Given: Number = 7364x Number divisible by 11 Concept used: Divisibility rule of 11: When the difference between the sum of alternate digits of a number is either 0 or divisible by 11, then the number is divisible by 11. Calculation: Let’s add the alternate digits of the given number. 7 + 6 + x = y 3 + 4 = 7 Difference between the two = y – 7 (7 + 6 + x) – 7 = multiple of 11 = 0 (least multiple of 11) ⇒ 6 + x = 0 ⇒ x = -6 As we can not have a negative value for x in the number, we subtract 6 from 11 to get the positive value of x. x = 11 – 6 = 5 ∴ For the number to be divisible by 11 the value of x must be 5.

If 7364x is divisible by 11, what will be the value of x?1. 72. 63. 54. 4

Answer» Correct Answer - Option 3 : 5

Given:

Number = 7364x

Number divisible by 11

Concept used:

Divisibility rule of 11: When the difference between the sum of alternate digits of a number is either 0 or divisible by 11, then the number is divisible by 11.

Calculation:

Let’s add the alternate digits of the given number.

7 + 6 + x = y

3 + 4 = 7

Difference between the two = y – 7

(7 + 6 + x) – 7 = multiple of 11 = 0 (least multiple of 11)

⇒ 6 + x = 0

⇒ x = -6

As we can not have a negative value for x in the number, we subtract 6 from 11 to get the positive value of x.

x = 11 – 6 = 5

∴ For the number to be divisible by 11 the value of x must be 5.

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