Select the statements that are true- -8 - -5- - 13-10 - -5- - 13-5 - -8- - 13-9 - -4- - 13-

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Properties of Addition of Integers

Select the st...

Question

Select the statements that are true.

8 - (-5) = 13

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10 - (-5) = 13

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5 - (-8) = 13

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9 - (-4) = 13

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Verify each of the following :

(i) $\frac{3}{7} \times \frac{- 5}{9} = \frac{- 5}{9} \times \frac{3}{7}$

(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$

(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$

(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

	List-I		List-II
P.	If $t_{1}, t_{2}, t_{3}, t_{4}, t_{5}$ are first five terms of an A.P. $\frac{4 (t_{1} - t_{2} - t_{4}) + 6 t_{3} + t_{5}}{t_{1}}$ then is equal to $(t_{1} \neq 0)$	(1)	2
Q.	$\infty \sum K = 1 \infty \sum n = 1 \frac{K}{2^{n + K}}$ is less than or equal to	(2)	3
R.	If $T_{n}$ denotes the nth term of the H.P. from the beginning such that $\frac{T_{2}}{T_{6}} = 9,$ then the value of $\frac{T_{5}}{T_{12}}$ is divisible by	(3)	4
S.	The value of $\frac{2}{1^{3}} + \frac{6}{1^{3} + 2^{3}} + \frac{12}{1^{3} + 2^{3} + 3^{3}}$ $+ \frac{20}{1^{3} + 2^{3} + 3^{3} + 4^{3}} + . .$ upto infinity is less than or equal to	(4)	5
		(5)	6
		(6)	1

Fill in the blanks to make the statement true: ${(6 / 13)}^{10} \div [{(6 / 13)}^{5}]^{2} = {(6 / 13)}^{- - -}$ .

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