M4maths Previous Puzzles

28 Oct 2009 change the HAT

If CAT is changed to XAT
RAT is changed to NAT
BAT is changed to PAT
FAT is changed to VAT
Then HAT is changed to

OPtion

1) YAT
2) MAT
3) SAT
4) ZAT
5) LAT
6) OAT
7) DAT
8) EAT
9) GAT
100 UAT

Solution

Here C is changed to X. The position of C in English alphabet is 3. 8 multiple of 3 is 24 and 24th letter
in English alphabet is X.Similarly R is changed to N. The position of R in English alphabet is 18.
8 multiple of 18 is 144 and 144th letter in English alphabet on taking running sequence as
ABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZ............... is N
Similarly for others

Correct Option: 5 Best Solution (11)

Tijo Jose   15 years AGO

CAT--XAT
RAT--NAT
BAT--PAT
FAT--VAT
HAT--???


Position of letters in English alphabet.
1. C=3
2. R=18
3. B=2
4. F=6

Multiply by 8.
1. 3*8= 24
2. 18*8=144
3. 2*8= 16
4. 6*8= 48

Divide by 26 and obtain remainder 26.
1. 24%26 = 24
2. 144%26 = 14
3. 16%26 = 16
4. 48%26 = 22

Find corresponding letters
1. X (=24)
2. N (=14)
3. P (=16)
4. V (=22)

There is the letter for replacement.

Similarly for HAT,
position of H=8
8*8=64
64%26=12
alphabet at position 12=L

So, HAT is changed to LAT.

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Dr.Dipin Singh   15 years AGO

CAT is changed to XAT
Only first letter is changed .

Number value of C ..3.
Multiply it by 8.
we get 24.
24th letter is X.
so code is XAT.


RAT is changed to NAT
R ...18
18*8=144
Divide by 26.
Remainder is 14.
14th letter is N.
so code is NAT.

similarly

BAT is changed to PAT
FAT is changed to VAT
Then HAT is changed....
H.....8
8*8=64.
Divide by 26.
Remainder is 12.
12th letter is L.

so code is LAT....option 5

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Pargat Pal Singh   15 years AGO

The replacement rule is (n*8)%26

i.e. multiply the number value of first letter with 8 .
Divide it by 26( total alphabets ).
Find the remainder.
Replace first letter with letter having number value equal to remainder.

Here for CAT ...3*8=24
divide by 26. remainder 24...letter X.
so code XAT.

In HAT ..H..8....8*8=64
Divide by 26. remainder is 12... letter L

so code is LAT.

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Dolly   15 years AGO

CAT is changed to XAT
C----X

C (3) is changed to X (24) by multiplying it by 8.


RAT is changed to NAT
R(18) is changed to N(144 or 14) by multiplying 18 with 8 to get 144.

Find 144th letter in
ABC...XYZABC....XYZABC....XYZABC....XYZABC..
144 th letter is N.

BAT is changed to PAT
FAT is changed to VAT
Similarly HAT is changed to LAT.
H(8) is changed to L(64 or 12) by finding 64th letter in
ABC...XYZABC....XYZABC....XYZ
which is L.

so option 5.

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Karan   15 years AGO

New ( First ) letter is obtained by multiplying the number of first letter by 8 and then finding the letter at that
value after recycling the letters if the product is more than 26.
C--3x-8--24---X
R--18 x 8 --144..26+26+26+26+26+26+14..14--N
similarly
H..8x8--64--26+26+12 --- 12-- L

so code is LAT .

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Aman   15 years AGO

Replace the first letter with new letter having number value 8 times that of first letter.

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Mayur   15 years AGO

Change only the first letter by replacing the letter by letter having positional value of remainder obtained by

dividing

(positional value of letter x8) by 26.

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Bimal   15 years AGO

Only first letter is to be changed.

Note the position of first letter.
Multiply it by 8.
Divide it by 26.
Note the remainder.
Find letter at position given by remainder in English Alphabets.
Replace first letter with this letter.

CAT is changed to XAT
3*8=24
24/26 ... remainder 24...letter is X
so XAT.

In HAT
H..8
8*8=64
64/26... 2 + remainder ...12.. letter L.

So code is LAT... option 5.

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Anantha Krishna   15 years AGO

Multiply first letter count by 8

CAT- 3*8 = 24, so it's 24th letter is X, so worrd is XAT. if the number exceeds 26, divide it by 26 and take the
remainder. so for HAT it is 8*8/26 remainder is 12.it's LAT

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rajendra   15 years AGO

c=3,x=24..
so 24=(3*8)/26. the remainder is taken......
like wise proceed





=

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Dundi   15 years AGO

Multiply first letter count by 8 to get the first letter in result. so c will become 3*8= 24 (X)
if number exceed 26 divide it by 26 and take remainder.

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