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Divisibility by 5

5^8-3^8 is no...

Question

5^8-3^8 is not divisible by i) 2. ii) 16. iii) 17. iv) 25 How to find out this

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Q. Evaluate

(i) (−16) × 12 + (−16) × 8
(ii) 25 × (−33) + 25 × (−17)
(iii) (−19) × (−25) + (−19) × (−15)
(iv) (−47) × 68 − (−47) × 38
(v) (−105) ÷ 21
(vi) (−168) ÷ (−14)
(vii) 0 ÷ (−34)
(viii) 37 ÷ 0

Q. Write the multiplicative inverse.

(i)

\frac{2}{5}

\frac{- 3}{8}

\frac{- 17}{39}

- 7 \frac{1}{3}

Q. Give an example of a number
(i) which is divisible by 2 but not by 4.
(ii) which is divisible by 4 but not by 8.
(iii) which is divisible by both 2 and 8 but not by 16.
(iii) which is divisible by both 3 and 6 but not by 18.

Q. Find the sum of the following series.
(i)

1 + 2 + 3 + . . . . + 45

16^{2} + 17^{2} + 18^{2} + . . . . + 25^{2}

2 + 4 + 6 + . . . . + 100

7 + 14 + 21 + . . . . + 490

5^{2} + 7^{2} + 9^{2} + 39^{2}

16^{3} + 17^{3} + . . . . . + 35^{3}

Q. Multiply:
(i)

3 \sqrt{5} by 2 \sqrt{5}

6 \sqrt{15} by 4 \sqrt{3}

2 \sqrt{6} by 3 \sqrt{3}

3 \sqrt{8} by 3 \sqrt{2}

\sqrt{10} by \sqrt{40}

3 \sqrt{28} by 2 \sqrt{7}

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Divisibility by 5

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