Question 7In which of the following cases- do the quantities vary directly with each other-a- x 0-5 2 8 32- y 2 8 32 128- -b- p 12 22 32 42- q 13 23 33 43- -c- r 2 5 10 25 50- s 25 10 5 2 0-5- -d - u 2 4 6 9 12- v 18 9 6 4 3- -

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Standard VII

Mathematics

Proportional Division

Question 7In ...

Question

Question 7

In which of the following cases, do the quantities vary directly with each other?
$(a) \begin{matrix} x & 0.5 & 2 & 8 & 32 y & 2 & 8 & 32 & 128 \end{matrix}$
$(b) \begin{matrix} p & 1^{2} & 2^{2} & 3^{2} & 4^{2} q & 1^{3} & 2^{3} & 3^{3} & 4^{3} \end{matrix}$
$(c) \begin{matrix} r & 2 & 5 & 10 & 25 & 50 s & 25 & 10 & 5 & 2 & 0.5 \end{matrix}$
$(d) \begin{matrix} u & 2 & 4 & 6 & 9 & 12 v & 18 & 9 & 6 & 4 & 3 \end{matrix}$

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Solution

In option (a)
x =0.5, 2, 8,32 and y =2,8, 32, 128
If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases. Hence, option (a) is correct.

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Question 8

Which quantities in the previous question vary inversely with each other?
(a) x and y
(b) p and q
(c) r and s
(d) u and v

Question 7

In which of the following cases, do the quantities vary directly with each other?
$(a) \begin{matrix} x & 0.5 & 2 & 8 & 32 y & 2 & 8 & 32 & 128 \end{matrix}$
$(b) \begin{matrix} p & 1^{2} & 2^{2} & 3^{2} & 4^{2} q & 1^{3} & 2^{3} & 3^{3} & 4^{3} \end{matrix}$
$(c) \begin{matrix} r & 2 & 5 & 10 & 25 & 50 s & 25 & 10 & 5 & 2 & 0.5 \end{matrix}$
$(d) \begin{matrix} u & 2 & 4 & 6 & 9 & 12 v & 18 & 9 & 6 & 4 & 3 \end{matrix}$

Question 13

If two quantities x and y vary directly with each other, then
(a) $\frac{x}{y}$ remains constant
(b) x-y remains constant
(c) x+y remains constant
(d) $x \times y$ remains constant

Q. Which of the following quantities (

x, y

) vary directly or inversely with each other.
Wages

x

and hours of work

y

Question 31

If the quantities x and y vary directly with each other, then___of their corresponding values remains constant.

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Proportional Division

Standard VII Mathematics

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Question 7 In which of the following cases, do the quantities vary directly with each other? (a)x0.52832y2832128 (b)p12223242q13233343 (c)r25102550s2510520.5 (d)u246912v189643

In option (a) x =0.5, 2, 8,32 and y =2,8, 32, 128 If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases. Hence, option (a) is correct.

In option (a)
x =0.5, 2, 8,32 and y =2,8, 32, 128
If we multiply x with 4, we get the directly required result as same as shown in corresponding y. In this case, as the value of x increases, the value of y also increases. Hence, option (a) is correct.