CBSE Class 8 Mathematics Question 11 of 16

Number Play — Question 11

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11
Question
Deepak claims, “There are some multiples of 11 which, when doubled, are still multiples of 11. But other multiples of 11 don’t remain multiples of 11 when doubled”. Examine if his conjecture is true; explain your conclusion.
Answer

The multiples of 11 are: 11, 22, 33, 44, 55,… When doubled, 22, 44, 66, 88, 110,…… i.e. (11) × 2, 11 × 4, 11 × 6, 11 × 8, 11 × 10,…. are also multiples of 11. False, if multiples of 11 are doubled, then the multiples of 11 are these numbers.