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Category: Arithmetic

Question-204441

Question Number 204441 by peter frank last updated on 17/Feb/24 Commented by Frix last updated on 17/Feb/24 $$\mathrm{3}\:\mathrm{circles}\:\mathrm{plus}\:\mathrm{4}\:\mathrm{times}\:\left(\mathrm{6}\:\mathrm{minus}\:\mathrm{4}\:\mathrm{radii}\right)\:\Rightarrow \\ $$$$\mathrm{perimeter}\:=\:\mathrm{6}\pi+\mathrm{8} \\ $$ Commented by peter…

3-7-11-7-11-15-11-15-19-39-43-47-

Question Number 204348 by BaliramKumar last updated on 14/Feb/24 $$\mathrm{3}×\mathrm{7}×\mathrm{11}\:+\:\mathrm{7}×\mathrm{11}×\mathrm{15}\:+\:\mathrm{11}×\mathrm{15}×\mathrm{19}\:+\:……….+\:\:\mathrm{39}×\mathrm{43}×\mathrm{47}\:=\:?\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$ Answered by MM42 last updated on 14/Feb/24 $$\underset{\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\:\left(\mathrm{4}{n}−\mathrm{1}\right)\left(\mathrm{4}{n}+\mathrm{3}\right)\left(\mathrm{4}{n}+\mathrm{7}\right) \\ $$$$=\underset{\mathrm{1}} {\overset{\mathrm{10}}…

A-sum-of-2800-is-invested-partly-at-5-and-partly-at-4-If-the-total-income-is-128-per-annum-find-the-amount-invested-at-5-

Question Number 203825 by necx122 last updated on 29/Jan/24 $${A}\:{sum}\:{of}\:\mathrm{2800}\:{is}\:{invested},\:{partly}\:{at}\:\mathrm{5\%} \\ $$$${and}\:{partly}\:{at}\:\mathrm{4\%}.\:{If}\:{the}\:{total}\:{income} \\ $$$${is}\:\mathrm{128}\:{per}\:{annum},\:{find}\:{the}\:{amount} \\ $$$${invested}\:{at}\:\mathrm{5\%}. \\ $$ Answered by esmaeil last updated on 29/Jan/24…

The-sum-of-all-possible-products-taken-two-at-a-time-out-of-the-numbers-1-2-3-4-is-a-0-b-30-c-30-d-55-

Question Number 203788 by BaliramKumar last updated on 28/Jan/24 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{possible}\:\mathrm{products}\:\mathrm{taken}\:\mathrm{two}\:\mathrm{at}\: \\ $$$$\mathrm{a}\:\mathrm{time}\:\:\mathrm{out}\:\mathrm{of}\:\mathrm{the}\:\mathrm{numbers}\:\pm\mathrm{1},\:\pm\mathrm{2},\:\pm\mathrm{3},\:\pm\mathrm{4}\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{b}\right)\:−\mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{c}\right)\:\mathrm{30}\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{d}\right)\:\mathrm{55} \\ $$ Answered by mr W last updated on 28/Jan/24 $${to}\:{take}\:{two}\:{from}\:\mathrm{8}\:{there}\:{are}\:…

P-is-a-prime-number-P-gt-1000-If-P-r-mod-1000-how-many-value-of-r-

Question Number 203566 by BaliramKumar last updated on 22/Jan/24 $$'\mathrm{P}'\:\mathrm{is}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{number}\:\left(\mathrm{P}>\mathrm{1000}\right).\: \\ $$$$\mathrm{If}\:\:\:\mathrm{P}\:\equiv\:\mathrm{r}\:\left(\mathrm{mod}\:\mathrm{1000}\right).\:\mathrm{how}\:\mathrm{many}\:\mathrm{value}\:\mathrm{of}\:'\mathrm{r}'. \\ $$ Answered by MM42 last updated on 22/Jan/24 $${p}=\mathrm{1000}{k}+{r}\:\:\&\:\:\mathrm{0}<{r}<\mathrm{1000}\: \\ $$$$\Rightarrow“{p}''\:{is}\:{prime}\:{number}\: \\…

A-two-digit-number-AB-10-AB-10-A-B-BA-10-Find-the-number-There-is-a-poem-Having-arrived-at-the-age-of-BA-10-

Question Number 203051 by ajfour last updated on 08/Jan/24 $${A}\:{two}\:{digit}\:{number}\:\:\left({AB}\right)_{\mathrm{10}} \\ $$$$\left({AB}\right)_{\mathrm{10}} −{A}^{{B}} =\left({BA}\right)_{\mathrm{10}} \\ $$$${Find}\:{the}\:{number}.\:{There}\:{is}\:{a}\:{poem}. \\ $$$${Having}\:{arrived}\:{at}\:{the}\:{age}\:{of}\:\left({BA}\right)_{\mathrm{10}} . \\ $$ Answered by Rasheed.Sindhi last…