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Playing with Numbers

Short Answer Type

41.
Check the divisibility of the following numbers by 9.
(i) 1827 (ii) 2025 (iii) 12345

(1) 1827

We have 1 + 8 + 2 +7 = 18
Since 18 is divisible by 9

∴ 1827 is also divisible by 9.

(ii) 2025

We have 2 + 0 + 2 + 5 = 9

Since, 9 is divisible by 9

∴       2025 is also divisible by 9.

(iii)    12345

We have       1 + 2 + 3 + 4 + 5 = 15

Since, 15 is not divisible by 9

∴ 12345 is also not divisible by 9.

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42.

Check the divisibility of the following numbers by 3.

(i) 1227 (ii) 6083 (iii) 12345

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43.

If 51x3 is a multiple of 9, where x is a digits, then what is the value of x?

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44.

If 27x is a multiple of 3 and x is a digit then find the value of x.

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45.

Write the following numbers in the generalized form:

(i) 65 (ii) 605

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46.

Write the following numbers in usual form:

(i) 7 x 100 + 10 x 5 + 9 x 1 (ii) 4 x 100 + 10 x 0 + 7 x 1

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47.

Is 307 divisible by 9?

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48.

Is 1125 divisible by 3?

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49.

Is 10011 divisible by 3?

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Multiple Choice Questions

50.

If 12 x is divisible by 2, then x must be equal to

5
1
0, 2, 4, 6, or 8

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