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Question Number 120827 by TITA last updated on 03/Nov/20

Commented by liberty last updated on 03/Nov/20

125×666×798×1373×77777×111111   7.882535124571993E20

$$\mathrm{125}×\mathrm{666}×\mathrm{798}×\mathrm{1373}×\mathrm{77777}×\mathrm{111111}\: \\ $$$$\mathrm{7}.\mathrm{882535124571993E20} \\ $$$$ \\ $$

Commented by TITA last updated on 03/Nov/20

pls how do you solve without a calculator?

$${pls}\:{how}\:{do}\:{you}\:{solve}\:{without}\:{a}\:{calculator}? \\ $$

Commented by 675480065 last updated on 03/Nov/20

When giving a question, its   a concour queztion and calculators  are not allowed.  So make mention of that...  Not testing the intelligence of people.

$$\mathrm{When}\:\mathrm{giving}\:\mathrm{a}\:\mathrm{question},\:\mathrm{its}\: \\ $$$$\mathrm{a}\:\mathrm{concour}\:\mathrm{queztion}\:\mathrm{and}\:\mathrm{calculators} \\ $$$$\mathrm{are}\:\mathrm{not}\:\mathrm{allowed}. \\ $$$$\mathrm{So}\:\mathrm{make}\:\mathrm{mention}\:\mathrm{of}\:\mathrm{that}... \\ $$$$\mathrm{Not}\:\mathrm{testing}\:\mathrm{the}\:\mathrm{intelligence}\:\mathrm{of}\:\mathrm{people}. \\ $$

Commented by TITA last updated on 03/Nov/20

ok thank you sir

$${ok}\:{thank}\:{you}\:{sir} \\ $$

Answered by $@y@m last updated on 03/Nov/20

125×666×798×....  125×2×333×2×399×....  500×333×399×....  ⇒ The product is multiple of 500  Ans: (b)

$$\mathrm{125}×\mathrm{666}×\mathrm{798}×.... \\ $$$$\mathrm{125}×\mathrm{2}×\mathrm{333}×\mathrm{2}×\mathrm{399}×.... \\ $$$$\mathrm{500}×\mathrm{333}×\mathrm{399}×.... \\ $$$$\Rightarrow\:{The}\:{product}\:{is}\:{multiple}\:{of}\:\mathrm{500} \\ $$$${Ans}:\:\left({b}\right) \\ $$

Answered by 675480065 last updated on 03/Nov/20

multiply    125 and 2, the number gotten  ends with 2 zeros, thus the final result  should end with 2 zeros because  the last digits of the numbers left  can produce zeros when multiplied

$$\mathrm{multiply}\:\: \\ $$$$\mathrm{125}\:\mathrm{and}\:\mathrm{2},\:\mathrm{the}\:\mathrm{number}\:\mathrm{gotten} \\ $$$$\mathrm{ends}\:\mathrm{with}\:\mathrm{2}\:\mathrm{zeros},\:\mathrm{thus}\:\mathrm{the}\:\mathrm{final}\:\mathrm{result} \\ $$$$\mathrm{should}\:\mathrm{end}\:\mathrm{with}\:\mathrm{2}\:\mathrm{zeros}\:\mathrm{because} \\ $$$$\mathrm{the}\:\mathrm{last}\:\mathrm{digits}\:\mathrm{of}\:\mathrm{the}\:\mathrm{numbers}\:\mathrm{left} \\ $$$$\mathrm{can}\:\mathrm{produce}\:\mathrm{zeros}\:\mathrm{when}\:\mathrm{multiplied} \\ $$

Answered by antoineop last updated on 03/Nov/20

= 10×25×333×798×1373×77777×111111  = 100×5×333×399×1373×77777×111111  everything is odd except 100 and nothig  is divisible by 5  the answer has 2 zeros only at the end

$$=\:\mathrm{10}×\mathrm{25}×\mathrm{333}×\mathrm{798}×\mathrm{1373}×\mathrm{77777}×\mathrm{111111} \\ $$$$=\:\mathrm{100}×\mathrm{5}×\mathrm{333}×\mathrm{399}×\mathrm{1373}×\mathrm{77777}×\mathrm{111111} \\ $$$$\mathrm{everything}\:\mathrm{is}\:\mathrm{odd}\:\mathrm{except}\:\mathrm{100}\:\mathrm{and}\:\mathrm{nothig} \\ $$$$\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{5} \\ $$$$\mathrm{the}\:\mathrm{answer}\:\mathrm{has}\:\mathrm{2}\:\mathrm{zeros}\:\mathrm{only}\:\mathrm{at}\:\mathrm{the}\:\mathrm{end} \\ $$

Commented by antoineop last updated on 03/Nov/20

(little mistakes the last 5 shouldnt  be there)

$$\left({little}\:{mistakes}\:{the}\:{last}\:\mathrm{5}\:{shouldnt}\right. \\ $$$$\left.{be}\:{there}\right) \\ $$

Answered by mindispower last updated on 03/Nov/20

125=25.5  798=2.399  666=2.333  the number is muliple of 100 not 1000   (25.2.2)........alll the reste so answer is b

$$\mathrm{125}=\mathrm{25}.\mathrm{5} \\ $$$$\mathrm{798}=\mathrm{2}.\mathrm{399} \\ $$$$\mathrm{666}=\mathrm{2}.\mathrm{333} \\ $$$${the}\:{number}\:{is}\:{muliple}\:{of}\:\mathrm{100}\:{not}\:\mathrm{1000}\: \\ $$$$\left(\mathrm{25}.\mathrm{2}.\mathrm{2}\right)........{alll}\:{the}\:{reste}\:{so}\:{answer}\:{is}\:{b} \\ $$

Commented by peter frank last updated on 03/Nov/20

thank you both

$$\mathrm{thank}\:\mathrm{you}\:\mathrm{both} \\ $$

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