हिंदी

A positive integer m when divided by 11 gives remainder 6. If 4m + 5 is divided by 11, the remainder is ______.

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प्रश्न

A positive integer m when divided by 11 gives remainder 6. If 4m + 5 is divided by 11, the remainder is ______.

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उत्तर

A positive integer m when divided by 11 gives remainder 6. If 4m + 5 is divided by 11, the remainder is 7.

Explanation:

Let m = 11k + 6 for some integer k.

Then 4m + 5 = 4(11k + 6) + 5

= 44k + 24 + 5

= 44k + 29

= 11(4k + 2) + 7

So the remainder is 7.

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अध्याय 1: Real Numbers - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [पृष्ठ १.४५]

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आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 1 Real Numbers
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 15. | पृष्ठ १.४५
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