Question and Answers Forum

All Questions      Topic List

Permutation and Combination Questions

Previous in All Question      Next in All Question      

Previous in Permutation and Combination      Next in Permutation and Combination      

Question Number 149595 by SLVR last updated on 06/Aug/21

Commented by SLVR last updated on 06/Aug/21

sir solution please..

$${sir}\:{solution}\:{please}.. \\ $$

Answered by mr W last updated on 06/Aug/21

Q2  abcde×9=edcba  a×90000+b×9000+c×900+d×90+9e  =e×10000+d×1000+c×100+b×10+a  a×8999+b×8990+c×800−d×910−e×9991=0  a×89999+b×8990+c×800=d×910+e×9991  ⇒a=1, e=9:  80+b×8990+c×800=d×910  8+b×899+c×80=d×91  ⇒b=0:  8+c×80=d×91  ⇒c=9:  8+720=d×91  ⇒d=8  the number is 10989.  10989×9=98901    1+0+9+8+9=27  ⇒answer B)

$${Q}\mathrm{2} \\ $$$${abcde}×\mathrm{9}={edcba} \\ $$$${a}×\mathrm{90000}+{b}×\mathrm{9000}+{c}×\mathrm{900}+{d}×\mathrm{90}+\mathrm{9}{e} \\ $$$$={e}×\mathrm{10000}+{d}×\mathrm{1000}+{c}×\mathrm{100}+{b}×\mathrm{10}+{a} \\ $$$${a}×\mathrm{8999}+{b}×\mathrm{8990}+{c}×\mathrm{800}−{d}×\mathrm{910}−{e}×\mathrm{9991}=\mathrm{0} \\ $$$${a}×\mathrm{89999}+{b}×\mathrm{8990}+{c}×\mathrm{800}={d}×\mathrm{910}+{e}×\mathrm{9991} \\ $$$$\Rightarrow{a}=\mathrm{1},\:{e}=\mathrm{9}: \\ $$$$\mathrm{80}+{b}×\mathrm{8990}+{c}×\mathrm{800}={d}×\mathrm{910} \\ $$$$\mathrm{8}+{b}×\mathrm{899}+{c}×\mathrm{80}={d}×\mathrm{91} \\ $$$$\Rightarrow{b}=\mathrm{0}: \\ $$$$\mathrm{8}+{c}×\mathrm{80}={d}×\mathrm{91} \\ $$$$\Rightarrow{c}=\mathrm{9}: \\ $$$$\mathrm{8}+\mathrm{720}={d}×\mathrm{91} \\ $$$$\Rightarrow{d}=\mathrm{8} \\ $$$${the}\:{number}\:{is}\:\mathrm{10989}. \\ $$$$\mathrm{10989}×\mathrm{9}=\mathrm{98901} \\ $$$$ \\ $$$$\mathrm{1}+\mathrm{0}+\mathrm{9}+\mathrm{8}+\mathrm{9}=\mathrm{27} \\ $$$$\left.\Rightarrow{answer}\:{B}\right) \\ $$

Answered by mr W last updated on 06/Aug/21

Q1  4×4×3×2×1=96  ⇒answer A)

$${Q}\mathrm{1} \\ $$$$\mathrm{4}×\mathrm{4}×\mathrm{3}×\mathrm{2}×\mathrm{1}=\mathrm{96} \\ $$$$\left.\Rightarrow{answer}\:{A}\right) \\ $$

Commented by SLVR last updated on 06/Aug/21

Thank you so much..mr. W sir

$${Thank}\:{you}\:{so}\:{much}..{mr}.\:{W}\:{sir} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com