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(a) 4

(b) 6

(c) 8

(d) 10

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The ratio $\dfrac{a}{b}$ is same as the ratio $\dfrac{{ax}}{{bx}}$ with the common factor x getting cut off, where the numerator gives the actual count of first object and the denominator giving the count of second.

Initial idea is obtained by looking into each option and matching it with the given data of count of deer which is the trial and error method.

Converting given ratio to actual count,

Here the ratio is 5:2

Thus there exists an unknown factor x such that \[5x = 2x\], where 5x denotes the number of deer and 2x represents the number of lions. Thus finding x solves the problem.

Equate the number of deer to given value 20, to find x.

Number of deer = 20,

Implies 5x=20

x=4

Step3: Now to find the number of lions, substitute the value of x=4 in 2x which is the count of lions in terms of x.

\[2x = 2(4) = 8\]

We obtain, Number of Lions=8

If we have the ratio a:b:c implies that there exists a common factor x such that ax gives the actual count of the first object, bx gives the second and cx gives the third.

After computing the actual count of objects, it must be made sure to match the counts to appropriate objects.