• 072920 77839
  • info@smartachievers.in
Menu
Back
  • JEE ADVANCE
  • JEE MAIN
  • NEET
  • BITSAT
  • CBSE BOARD
  • UP BOARD
  • CUET
  • Other Competitive Exams
JEE ADVANCE
  • CLASS XI - XII
  • CRASH COURSE
JEE MAIN
  • CLASS XI - XII
  • CRASH COURSE
CRASH COURSE
NEET
  • CLASS XI - XII
  • CRASH COURSE
BITSAT
  • CLASS XI - XII
CBSE BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
  • CLASS VI
  • CLASS VII
  • CLASS VIII
UP BOARD
  • CLASS IX
  • CLASS X
  • CLASS XI
  • CLASS XII
CUET
  • CRASH COURSE
Other Competitive Exams
  • NDA
Courses


Solution


Q.

If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at 315th position in this arrangement is
1 NRAPGU  
2 NRAGPU  
3 NRAPUG  
4 NRAGUP  

Ans.

(1)

Letters in the word NAGPUR = 6

If we fix A _ _ _ _ _

Number of words starting with A = 5! = 120

If we fix G _ _ _ _ _

Number of words starting with G = 5! = 120

If we fix N A _ _ _ _

Number of words starting with NA = 4! = 24

If we fix N G _ _ _ _

Number of words starting with NG = 4! = 24

If we fix N P _ _ _ _

Number of words starting with NP = 4! = 24

Next word, i.e., 313th word in dictionary will be NRAGPU,

314th word will be NRAGUP,

315th word will be NRAPGU.