Latest TCS Aptitude Question SOLUTION: The letter in the word ADOPTS are permuted in all possible ways and arranged in the alphabetical order. Find the word at position 42 in the permuted alphabetical order.

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The letter in the word ADOPTS are permuted in all possible ways and arranged in the alphabetical order. Find the word at position 42 in the permuted alphabetical order.

Asked In TCS sarika nayak (11 years ago)

Solved Suvojyoti Sinha Ray Read Solution (12)

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Read Solution (12) :

Suvojyoti Sinha Ray  (11 years ago) Best Solution

Answer- AOSTPD

No. of words starting with AD=4!=24, AO=4!
Thus the word has to start with AO because the last word with AO will be the 48th word.
Now no. of words formed with AOD=3!=6, AOP=3!=6, AOS=3!=6 Thus the last word formed with AOS is=4!+3!+3!+3!=24+6+6+6=42
Thus the last word formed with AOS is AOSTPD

Is this solution Helpfull? Yes (71) | No (15)  

wilson paul  (11 years ago)

AOSDPT is the answer

Is this solution Helpfull? Yes (16) | No (17)  

shubham chauhan  (11 years ago)

No of words starting with AD=24;
No of words starting with AO=24;
but we want 42nd letter ,so'll start counting words starting from AOD=6;
AOP=6;
AOS=6;
the last word of AOS_ _ _ is 42nd letter and that is AOSTPD

Is this solution Helpfull? Yes (13) | No (3)  

kaustubh ingale  (11 years ago)

AD---- 4!=24 words
AO---- 4!=24 words....exceeds 42nd term
so,
ADO--- 3!=6 words
ADP--- 3!=6 words
ADS--- 3!=6 words
the last word of this combination will be 42nd word.
therfore the ans is ADSOPT

Is this solution Helpfull? Yes (10) | No (12)  

manoj chauhan  (11 years ago)

please explain how is TPD after AOS????? i think it should be DPT...

Is this solution Helpfull? Yes (9) | No (4)  

sheshan bhardwaj  (11 years ago)

plz koi thk se samjha do.................

Is this solution Helpfull? Yes (9) | No (4)  

Preeti Sharma  (11 years ago)

AOSDPT.....is the correct solution of this problem

Is this solution Helpfull? Yes (6) | No (5)  

Priyank Kumar  (11 years ago)

ADSOPT is the answer

Is this solution Helpfull? Yes (4) | No (9)  

ankit  (9 years ago)

In alphabetical order : A D O P S T
A _ _ _ _ _ : the places filled in 5! ways = 120, But we need a rank less than 120. So the word starts with A.
A D _ _ _ _ : empty places can be filled in 4!=24
A O _ _ _ _ : the places filled with 4! ways = 24. If we add 24 + 24 this total crosses 42. So We should not consider all the words starting with AO.
A O D _ _ _ : 3!= 6
A O P _ _ _ : 3!=6
Till this 36 words are obtained, we need the 42nd word.
AOS _ _ _ : 3!= 6
Exactly we are getting the sum 42. So last 3 letters in the descending order are TPD.
So given word is AOSTPD

Is this solution Helpfull? Yes (4) | No (2)  

Raman  (11 years ago)

1. ADOPST
.
.
23. ADTSPO
24. AODPST
.
.
29. AOTSPD
30. AOPDST
.
.
35. AOPTSD
36. AOSDPT
.
.
41. AOSTPD
42. AOTDPS
ANS is AOTDPS

Is this solution Helpfull? Yes (3) | No (11)  

GOURAV GOURAV  (10 years ago)

mr. ray 7 mr. paul, u r finding the 47th word as AOSTPD
but it is asked the 42nd word so it is simply AOSDPT

Is this solution Helpfull? Yes (2) | No   

Guru Pranav  (11 years ago)

It's AOSTPD Ans.

Is this solution Helpfull? Yes | No   

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