Menu Close

If-all-the-words-with-or-without-meaning-are-written-using-the-letters-of-the-word-QUEEN-and-are-arranged-as-in-English-dictionary-What-is-the-position-of-the-word-QUEEN-a-44th-b-45th-c-46th-d-47th-




Question Number 52381 by Necxx last updated on 07/Jan/19
If all the words with or without  meaning are written using the  letters of the word QUEEN and  are arranged as in English  dictionary.What is the position  of the word QUEEN?  a)44th b)45th c)46th d)47th
$${If}\:{all}\:{the}\:{words}\:{with}\:{or}\:{without} \\ $$$${meaning}\:{are}\:{written}\:{using}\:{the} \\ $$$${letters}\:{of}\:{the}\:{word}\:{QUEEN}\:{and} \\ $$$${are}\:{arranged}\:{as}\:{in}\:{English} \\ $$$${dictionary}.{What}\:{is}\:{the}\:{position} \\ $$$${of}\:{the}\:{word}\:{QUEEN}? \\ $$$$\left.{a}\left.\right)\left.\mathrm{4}\left.\mathrm{4}{th}\:{b}\right)\mathrm{45}{th}\:{c}\right)\mathrm{46}{th}\:{d}\right)\mathrm{47}{th} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 07/Jan/19
total words=((5!)/(2!))=60  words start Q=((4!)/(2!))=12  words start with U=((4!)/(2!))=12  so total words excluding the words start with  U and Qis =60−24=36  QE words=6    QNwords =(3/(2!))=3  QU words→3(QUEEN,QUENE,QUNEE)  so rank of QUEEN is  =36+6+3+1=46th
$${total}\:{words}=\frac{\mathrm{5}!}{\mathrm{2}!}=\mathrm{60} \\ $$$${words}\:{start}\:{Q}=\frac{\mathrm{4}!}{\mathrm{2}!}=\mathrm{12} \\ $$$${words}\:{start}\:{with}\:{U}=\frac{\mathrm{4}!}{\mathrm{2}!}=\mathrm{12} \\ $$$${so}\:{total}\:{words}\:{excluding}\:{the}\:{words}\:{start}\:{with} \\ $$$${U}\:{and}\:{Qis}\:=\mathrm{60}−\mathrm{24}=\mathrm{36} \\ $$$${QE}\:{words}=\mathrm{6} \\ $$$$ \\ $$$${QNwords}\:=\frac{\mathrm{3}}{\mathrm{2}!}=\mathrm{3} \\ $$$${QU}\:{words}\rightarrow\mathrm{3}\left({QUEEN},{QUENE},{QUNEE}\right) \\ $$$${so}\:{rank}\:{of}\:{QUEEN}\:{is} \\ $$$$=\mathrm{36}+\mathrm{6}+\mathrm{3}+\mathrm{1}=\mathrm{46}{th} \\ $$$$ \\ $$$$ \\ $$
Answered by mr W last updated on 07/Jan/19
total number of words=((5!)/(2!))=60  number of words Uxxxx=((4!)/(2!))=12  QUNEE, QUENE=2  12+2=14  i.e. 14 from 60 words are after QUEEN,  i.e. QUEEN is the 46th word.    ⇒answer c) is correct
$${total}\:{number}\:{of}\:{words}=\frac{\mathrm{5}!}{\mathrm{2}!}=\mathrm{60} \\ $$$${number}\:{of}\:{words}\:{Uxxxx}=\frac{\mathrm{4}!}{\mathrm{2}!}=\mathrm{12} \\ $$$${QUNEE},\:{QUENE}=\mathrm{2} \\ $$$$\mathrm{12}+\mathrm{2}=\mathrm{14} \\ $$$${i}.{e}.\:\mathrm{14}\:{from}\:\mathrm{60}\:{words}\:{are}\:{after}\:{QUEEN}, \\ $$$${i}.{e}.\:{QUEEN}\:{is}\:{the}\:\mathrm{46}{th}\:{word}. \\ $$$$ \\ $$$$\left.\Rightarrow{answer}\:{c}\right)\:{is}\:{correct} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *