Latest Wipro Aptitude Question SOLUTION: What is the rank of the word "MOTHER".

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(#M40153478) WIPRO Numerical Ability question permutation and combination Keep an EYE

What is the rank of the word "MOTHER".

Asked In Wipro milan jena (8 years ago)

Solved RAVAL Read Solution (8)

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Read Solution (8) :

KPCHOWDAIAH  (8 years ago)

MOTHER
E H M O R T
1 2 3 4 5 6

M O T H E R
| | | | | |
3 4 6 2 1 5
| | | | | |
5! 4! 3! 2! 1! 0!
how many less than 3 =2*5!
after 4 how many lessthan than 4=2*4!
after 6 how many lessthan than 6=3*3!
after 2 how many lessthan than 2=1*2!
after 1 how many lessthan than 1=0*1!
in the last number keep 5=0*0!
add all these we get 308 and next number is rank of mother =309

Is this solution Helpfull? Yes (14) | No (4)  

Lakshmipathi Bojanapu  (8 years ago)

mother
346215
how many lessthan 3 =2*5!
after 4 how many lessthan than 4=2*4!
after 6 how many lessthan than 6=3*3!
after 2 how many lessthan than 2=1*2!
after 1 how many lessthan than 1=0*1!
in the last number keep 5=0*0!
add all these we get 308 and next number is rank of mother =309

Is this solution Helpfull? Yes (8) | No (3)  

RAVAL  (8 years ago) Best Solution

Total latter in 'MOTHER' is 6 so, no. of word occur are 720.
so , starting from E,H,M,O,R,T.
WITH E = 120 WORDS
WITH H = 120 WORDS
WITH M = 24+24+6+6+6+2+1 = 69 (when mother word occur)
SO , Rank of the word 'MOTHER' is, = 120+120+69 = 309

Is this solution Helpfull? Yes (7) | No (3)  

Aerpula Swarnalatha  (6 years ago)

E-----=5!
H-----=5!
ME----=4!
MH----=4!
MOE---=3!
MOH---=3!
MOR---=3!
M0TE--=2!
MOTHER=1
Rank of word MOTHER is=2*5!+2*4!+3*3!+2!+1=309

Is this solution Helpfull? Yes (6) | No   

  (6 years ago)

MOTHER we give them no as they appear in dictionary (346215) so rank will br
!5*2+!4*2+!3*3+!2*1+!1*0+!0*0=324

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Rajaboina Radhika  (6 years ago)

rank of the word "MOTHER" is 309

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RANGASWAMY  (4 years ago)

the rank of the word is 585.

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TRUPTI THAKRE  (4 years ago)

M O T H E R
Alphabetically number as:
M O T H E R
3 4 6 2 1 5

NOW COMPARE AND FIND THE NUMBER LOWER RANGE ALPHABET FROM CURRENT ALPHABET
FOR EXAMPLE:
M O T H E R
2 2 3 1 0 0
* * * * * *
5! 4! 3! 2! 1! 0!

Rank=2*5!+2*4!+3*3!+1*2!+0*1!+0*1!+[1]//extra one is added to addition
= 308[1]
=309

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