________ number is divisible by 11 leaves no remainder? 

Given:

Number options: 134564, 284961, 692481, 924682

Formula used:

A number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is a multiple of 11.

Calculation:

For 134564:

Odd positions: 1 + 4 + 6 = 11

Even positions: 3 + 5 + 4 = 12

⇒ Difference: |11 - 12| = 1

Not divisible by 11

For 284961:

Odd positions: 2 + 4 + 6 = 12

Even positions: 8 + 9 + 1 = 18

⇒ Difference: |12 - 18| = 6

Not divisible by 11

For 692481:

Odd positions: 6 + 2 + 8 = 16

Even positions: 9 + 4 + 1 = 14

⇒ Difference: |16 - 14| = 2

Not divisible by 11

For 924682:

Odd positions: 9 + 4 + 8 = 21

Even positions: 2 + 6 + 2 = 10

⇒ Difference: |21 - 10| = 11

Divisible by 11

∴ The correct answer is option (4).