M4maths Previous Puzzles

13 Jul 2012 dictionary

18th word of the dictionary formed by letters of the word RAMESH (all words of 6 letters)

OPtion

1) AERSHM
2) HREASM
3) HERASM
4) AHRSME
5) AERHSM
6) AERSMH
7) HRSAEM
8) ERASMH
9) EARHMS
10) NONE OF THESE

Solution

Total words = 720
first 120 will start with A
for the next place first 24 will start with E
so first two letters are AE
in 24 words 6-6 will start with H, M, R, S
so required word will have first 3 letters as AER
next splitting 2-2 with H, M, S
so 18th word will have first 4 letters as AERS
so 17th word is AERSHM
and 18th word is AERSMH

Correct Option: 6 Best Solution (8)

Aman   12 years AGO

AEHMRS

no of words starting with AEH ..6
No of words starting with AEM..6
No of words starting with AER... 6

18th word will be last word starting with AER 1.e. AERSMH >>>> option 6

Like? Yes (4) | No (5)  

Nikitha R   12 years AGO

4! is 24, so the word should have \"ae\" in the beginning.each 4th letter will have 6 combinations for last 3 letters. since 6+6+6 is 18 we get \"aersmh\".

Like? Yes (3) | No (4)  

B.Senthil Kumar   12 years AGO

By the Letter A we can form 120 words
By the Letters A and E we can form 24 words
so it has the answer
then AEH has 6 words
AEM has 6 words
AER has the 18th word AERHMS
AERHSM
AERMHS
AERMSH
AERSHM
AERSMH
is the answer

Like? Yes (1) | No (3)  

Balakrishnan M   12 years AGO

AEH--- the other three letters are form a 3!
AEM--- the other three letters are form a 3!
AER--- the other three letters are form a 3!
AERSMH is the 18th word of the dictionary formed

Like? Yes (1) | No (3)  

Tijo Jose   12 years AGO

1: AEHMRS
2: AEHMSR
3: AEHRMS
4: AEHRSM
5: AEHSMR
6: AEHSRM
7: AEMHRS
8: AEMHSR
9: AEMRHS
10: AEMRSH
11: AEMSHR
12: AEMSRH
13: AERHMS
14: AERHSM
15: AERMHS
16: AERMSH
17: AERSHM
18: AERSMH

Like? Yes (2) | No (4)  

jyotish r   12 years AGO

first two letters are fixed as AE.NOW 4! ARRANGEMENTS ARE POSSIBLE,MEANS 24.OF THESE WORDS LAST 6 WORDS WII BE HAVING S AS THE 3RD LETTER.thus the 18th word is the last word with AER as the 1st three letters.

Like? Yes (1) | No (3)  

phani   12 years AGO

WORDS START WITH AEH=3!=6
WORDS START WITH AEM=3!=6

WORDS START WITH AERH=2!=2
WORDS START WITH AERM=2!=2
WORDS START WITH AERSH=1=1
WORDS START WITH AERSMH=1=1
TOTAL=18

Like? Yes (1) | No (4)  

phani   12 years AGO

WORDS START WITH AEH=3!=6
WORDS START WITH AEM=3!=6

WORDS START WITH AERH=2!=2
WORDS START WITH AERM=2!=2
WORDS START WITH AERSH=1=1
WORDS START WITH AERSMH=1=1
TOTAL=18

Like? Yes (1) | No (4)