Question 148(i)

Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second.
Which two machines hooked together do the same work a $(\times 10^{2})$ machine does? Is there more than one arrangement of two machines that will work?

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Solution

For getting the same work a $(\times 10^{2})$ machine does, we have to $(\times 2^{2})$ and $(\times 5^{2})$ machines hooked together,
$∴ \times 10^{2} = \times 100 S i m i l a r l y, \times 2^{2} \times 5^{2} = \times 4 \times 25 = \times 100$

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Question 148(ii)

Two machines can be hooked together. When something is sent through this hook up, the output from the first machine becomes the input for the second.
Which stretching machine does the same work as two $(\times 2)$ kmachines hooked together?

Question 148(ii)

Question 164(i)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use
$(\times 1)$ machines.

Question 164(iii)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use
$(\times 1)$ machines.

Question 164(ii)

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use
$(\times 1)$ machines.

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For getting the same work a (×102) machine does, we have to (×22) and (×52) machines hooked together, ∴ ×102=×100Similarly, ×22 ×52=×4×25=×100

For getting the same work a $(\times 10^{2})$ machine does, we have to $(\times 2^{2})$ and $(\times 5^{2})$ machines hooked together,
$∴ \times 10^{2} = \times 100 S i m i l a r l y, \times 2^{2} \times 5^{2} = \times 4 \times 25 = \times 100$