If the 8-digit number 179x091y is divisible by 88, then what is the va

1.	If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y)?1. 32. 43. 14. 2
Answer» Correct Answer - Option 4 : 2 Given: Number = 179x091y Concept used: 1) If the last three digits of a number are divisible by 8, then the number is completely divisible by 8 2) If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11 completely. 3) If any number is completely divisible by 88 then the number is also completely divisible by 8 and 11 Calculation: Given number is completely divisible by 88 then it is also divisible by 11 and 8 When the number is divisible by 8 then, 91y is divisible by 8 when y = 2 ----(1) When the number is divisible by 11 then, (7 + x + 9 + y) – (1 + 9 + 0 + 1) ⇒ 16 + x + y – 11 ⇒ x + y + 5 ⇒ x + 2 + 5 ----(From eq (1)) ⇒ x + 7 Now, (x + 7) is divisible by 11 when x = 4 then, x – y = 4 – 2 = 2 ∴ The required difference is 2

If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y)?1. 32. 43. 14. 2

Answer» Correct Answer - Option 4 : 2

Given:

Number = 179x091y

Concept used:

1) If the last three digits of a number are divisible by 8, then the number is completely divisible by 8

2) If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11 completely.

3) If any number is completely divisible by 88 then the number is also completely divisible by 8 and 11

Calculation:

Given number is completely divisible by 88 then it is also divisible by 11 and 8

When the number is divisible by 8 then,

91y is divisible by 8 when y = 2 ----(1)

When the number is divisible by 11 then,

(7 + x + 9 + y) – (1 + 9 + 0 + 1)

⇒ 16 + x + y – 11

⇒ x + y + 5

⇒ x + 2 + 5 ----(From eq (1))

⇒ x + 7

Now, (x + 7) is divisible by 11 when x = 4 then,

x – y = 4 – 2 = 2

∴ The required difference is 2