3.
If 87587A28 is a number divisible by 8,
where A is a digit, how many such
numbers are possible?
(1) 5

1 thought on “3.<br />If 87587A28 is a number divisible by 8,<br />where A is a digit, how many such<br />numbers are possible?<br />(1) 5<br />”

1. Given:

   A number –

   • 87587A28 which is divisible by 8.

   What To Find:

   We have to find –

   • How many such numbers are possible to be divisible by 8 in the given options in place of A.

   How To Find:

   To find we have to –

   • First, substitute each number given in the options in place of A.
   • Next, use the divisibility rule of 8.
   • Then, if the number is divisible we get an answer.
   • Finally, we will get the possible number.

   Divisibility Rule Of 8:

   We take the 3 digits of the number and divide it by 8. There are two cases:-

   • If the remainder is 0 then it is divisible by 8.
   • If the remainder is not 0 then it is not divisible by 8.

   Solution:

   Number – 87587A28

   A. 5

   Let’s substitute it in the value of A.

   → A = 5

   We will get –

   → 87587528

   The three digits are –

   → 528

   Divide it by 8,

   → 528 ÷ 8

   The remainder is –

   → 0

   ∴ Hence, 87587528 is divisible by 8.

   B. 3

   Let’s substitute it in the value of A.

   → A = 3

   We will get –

   → 87587328

   The three digits are –

   → 328

   Divide it by 8,

   → 328 ÷ 8

   The remainder is –

   → 0

   ∴ Hence, 87587328 is also divisible by 8.

   C. 4

   Let’s substitute it in the value of A.

   → A = 4

   We will get –

   → 87587428

   The three digits are –

   → 428

   Divide it by 8,

   → 428 ÷ 8

   The remainder is –

   → 4

   ∴ Hence, 87587428 is not divisible by 8.

   D. 9

   Let’s substitute it in the value of A.

   → A = 3

   We will get –

   → 87587928

   The three digits are –

   → 928

   Divide it by 8,

   → 928 ÷ 8

   The remainder is –

   → 0

   ∴ Hence, 87587928 is also divisible by 8.

   Final Answer:

   ∴ Thus, the numbers possible are –

   • 87587528 — [5]

   • 87587328 — [3]

   • 87587928 — [9]

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