Question-61270

Question Number 61270 by necx1 last updated on 31/May/19

Answered by Askash last updated on 31/May/19

$$\mathrm{24} \\ $$

Answered by Rasheed.Sindhi last updated on 31/May/19

?=4 The third column entries are unit digits of the products of first and second columns : 8×3=24 9×4=36 12×2=24

$$?=\mathrm{4} \\ $$$$\mathrm{The}\:\mathrm{third}\:\mathrm{column}\:\mathrm{entries}\:\mathrm{are}\:\mathrm{unit}\:\mathrm{digits}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{products}\:\mathrm{of}\:\mathrm{first}\:\mathrm{and}\:\mathrm{second}\: \\ $$$$\mathrm{columns}\:: \\ $$$$\:\:\mathrm{8}×\mathrm{3}=\mathrm{24}\:\:\:\:\:\:\:\: \\ $$$$\:\:\mathrm{9}×\mathrm{4}=\mathrm{36} \\ $$$$\mathrm{12}×\mathrm{2}=\mathrm{24} \\ $$

Commented by necx1 last updated on 01/Jun/19

$${wow}….\:{Never}\:{really}\:{thought}\:{of}\:{that} \\ $$

Commented by Rasheed.Sindhi last updated on 01/Jun/19

Thank you necx 1! Actually sir this idea came to me after seeing the answer of Mr Akash! (He has answered: 24)

$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{necx}\:\mathrm{1}! \\ $$$$\mathrm{Actually}\:\mathrm{sir}\:\mathrm{this}\:\mathrm{idea}\:\mathrm{came}\:\mathrm{to}\:\mathrm{me} \\ $$$$\mathrm{after}\:\mathrm{seeing}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{of}\:\mathrm{Mr}\:\mathrm{Akash}! \\ $$$$\left(\mathrm{He}\:\mathrm{has}\:\mathrm{answered}:\:\:\:\mathrm{24}\right) \\ $$

Commented by Kunal12588 last updated on 01/Jun/19

one more idea . see the diaginals (top right) × (center − 1) = (bottom left) (top left) × (center − 1) = ? 8×3=?=24 or just it′s units place i.e 4

$${one}\:{more}\:{idea}\:. \\ $$$${see}\:{the}\:{diaginals} \\ $$$$\left({top}\:{right}\right)\:×\:\left({center}\:−\:\mathrm{1}\right)\:=\:\left({bottom}\:{left}\right) \\ $$$$\left({top}\:{left}\right)\:×\:\left({center}\:−\:\mathrm{1}\right)\:=\:? \\ $$$$\mathrm{8}×\mathrm{3}=?=\mathrm{24}\:{or}\:{just}\:{it}'{s}\:{units}\:{place}\:{i}.{e}\:\mathrm{4} \\ $$$$ \\ $$

Commented by Rasheed.Sindhi last updated on 01/Jun/19

If we change your idea slightly the answer will be 28. (top right−1)×(centre)=(bottom left) (top left−1) × (center) = ? But sir these ideas seem not perfect to me.Because they involve only a few numbers.Central number of edges have no role!

$$\mathrm{If}\:\mathrm{we}\:\mathrm{change}\:\mathrm{your}\:\mathrm{idea}\:\mathrm{slightly} \\ $$$$\mathrm{the}\:\mathrm{answer}\:\mathrm{will}\:\mathrm{be}\:\mathrm{28}. \\ $$$$\:\:\:\left({top}\:{right}−\mathrm{1}\right)×\left({centre}\right)=\left({bottom}\:{left}\right) \\ $$$$\left({top}\:{left}−\mathrm{1}\right)\:×\:\left({center}\right)\:=\:? \\ $$$$\mathrm{But}\:\mathrm{sir}\:\:\mathrm{these}\:\mathrm{ideas}\:\mathrm{seem}\:\mathrm{not}\:\mathrm{perfect}\: \\ $$$$\mathrm{to}\:\mathrm{me}.\mathrm{Because}\:\mathrm{they}\:\:\mathrm{involve}\:\mathrm{only}\:\mathrm{a} \\ $$$$\mathrm{few}\:\mathrm{numbers}.\mathrm{Central}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{edges}\:\mathrm{have}\:\mathrm{no}\:\mathrm{role}!\: \\ $$

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