If the 8-digit number 123456xy is divisible by 8, then the total possible pairs of (x,y) are:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 13.
Given:
Number = 123456xy
Concept Used:
Divisibility rule of 8: A number is divisible by 8 when the last three digits of a number are divisible by 8.
nth term of an AP , an = a + (1 - n)d
Explanation:
If the number 123456xy is divisible by 8, then the possible numbers can be 600, 608, 616,.....,696.
Now we have, a = 600, d = 8, an = 696 and n = ?
So putting the values in the formula, we get
⇒ 696 = 600 + (n - 1)(8)
⇒ 96 = 8n - 8
⇒ 8n = 104
⇒ n = 13
Hence the total possible pairs of (x,y) are 13.