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प्रश्न
If x denotes the digit at hundreds place of the number \[\overline{{67x19}}\] such that the number is divisible by 11. Find all possible values of x.
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उत्तर
A number is divisible by 11, if the difference of the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
\[\text{ Sum of digits at odd places - Sum of digits at even places }\]
\[ = (6 + x + 9) - (7 + 1)\]
\[ = (15 + x) - 8 = x + 7\]
\[ \therefore x + 7 = 11\]
\[ \Rightarrow x = 4\]
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संबंधित प्रश्न
Write five three-digit numbers that are multiples of 10.
Write 5 numbers that are multiples of 2 as well as of 3.
If the number given in the table is divisible by the given divisor, put ✓ in the box. If it is not divisible by the divisor, put × in the box.
| Divisor → | 2 | 5 | 10 |
| Number ↓ | |||
| 15 | × | ✓ | × |
| 30 | |||
| 34 | |||
| 46 | |||
| 55 | |||
| 63 | |||
| 70 | |||
| 84 |
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The divisibility rule for 2 applies to:
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