If the 6-digit number 5x423y is divisible by 88, then what is the value of (5x - 8y)?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 24
Given :
6-digit number 5x423y is divisible by 88
Concept used :
Divisibility factors of 8 and 11
Calculations :
⇒ If 5x423y is divisible by 11, difference of the alternative number should be 0 or factor of 11
⇒ (5 + 4 + 3) - (x + 2 + y) = 0
⇒ (12) - (x + y + 2) = 0
⇒ x + y = 10 ----- (1)
If 5x423y is divisible by 8, last three digits should be divisible by 8
⇒ 23y is divisible by 8
The least value of y is 2
⇒ 232 is divisible by 2
Put the value of x in equation (1)
⇒ x + y = 10
⇒ x + 2 = 10
⇒ x = 8
The value of (5x - 8y)
⇒ 5(8) - 8(2)
⇒ 40 - 16
⇒ 24