Latest TCS Aptitude Question SOLUTION: What is the rank of the word MASTER in dictionary order?

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What is the rank of the word MASTER in dictionary order?

Asked In TCS MANOJ TIWARI (11 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

kumar sonu  (11 years ago)

The letters of the are M,A,S,T,E,R.

Write the alphabetical order of the letters of the given word MASTER as A,E,M,R,S,T

Now strike off the first letter M.

A,E,M,R,S,T.

Then count the no.of letters before M, and it is equal to 2,which is the coefficient of 5!.

Again strike off the first letter A.

A,E,M,R,S,T

Then count the no.of letters before A and it is equal to 0 which is coefficient of 4!

Again strike off the first letter S.

A,E,M,R,S,T

Then count the no.of letters before S and it is equal to 2 which is coeffcient of 3!

Again strike off the first letter T.

A,E,M,R, S, T

Then count the no.of letters before T and it is equal to 2 which is coeffcient of 2!

Again strike off the first letter E.

A,E, M,R, S,T

Then count the no.of letters before E and it is equal to 0 which is coeffcient of 1!

Finally add 1 to the above values to get the rank of the word MASTER as follows:

2(5!) + 0(4!) +2(3!)+2(2!)+0(1!)+1=257

Is this solution Helpfull? Yes (9) | No (5)  

Garima  (11 years ago)

257

NO OF WORDS BEGIN WITH A=5!=120
"" "" "" E=5!=120
" "" "" MAE=3!=6
"" "" MAR=3 !=6
"" """ MASE=2!=2
" "" MASR=2!=2
" "" MASTER=1
ADDING THEM WILL GET 257 WHICH IS THE RANK OF MASTER

Is this solution Helpfull? Yes (7) | No (1)  

Subesh Kumar Yadav  (11 years ago)

Rank of the word MASTER is=257
No of words begin with M=2(5!)=240 +
No of words begin with A=0(4!)=0 +
No of words begin with S=2(3!)=12 +
No of words begin with T=2(2!)=4 +
No of words begin with E=0(1!)=0 +
No of words begin with R=1(0!)=1
=257

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

aprajita garg  (9 years ago)

total no. of words start from 'A' is 120 i.e 5!
similarly no. of words from "E" is also 120 i.e 5!
now according to alphabet given in question M comes after E
now on arranging words according to alphabet the 246th word is MASRTE.
SO THE NEXT WORD COME IS "MASTER" that is on 257th position on dictionary.
so answer is 257

Is this solution Helpfull? Yes (1) | No   

Nandita Sahu  (5 years ago)

2*5!+0*4!+2*3!+2*2!+0+0+1=257

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