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Is this magic possible on a 10 × 10 number chart? Go to the Chapter ‘Fun with Numbers’ and check. - Mathematics

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Question

Is this magic possible on a 10 × 10 number chart? Go to the Chapter ‘Fun with Numbers’ and check.

Numerical
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Solution

check with a 10 × 10 number chart

Yes, the magic works in a 10 × 10 number chart also.

The cross lines- 1 + 12 + 23+ … + 89+ 100 = 505 

and 10 + 19 + 28+ … + 82 + 91 = 505

As there is no middle line, we have to get average sum of both horizontal lines

5 + 15 + 25+ … + 95 and 6 + 16 + 26 + … 96 = 505

Average sum of both vertical lines

41 + 42 + 43 + … + 50 and 51 + 52 + 53 + … + 60 = 505.

Thus, the magic works here as well.

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Time Goes On.......
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Chapter 7: Time Goes On....... - Calendar Magic [Page 105]

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NCERT Math - Magic [English] Class 3
Chapter 7 Time Goes On.......
Calendar Magic | Q 5 | Page 105

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