M4maths Previous Puzzles

03 Jan 2017 Coding Decoding

If in coded language
CHINA = 351
JAPAN = 554
NEPAL = 622
Then
EGYPT = ?

OPtion

1) 355
2) 395
3) 755
4) 795
5) 955
6) 995
7) 1155
8) 1195
9) 1355
10)1395

Solution

A=1, B=2, C=3, D=4, E=5, F=6, G=7, H=8, I=9......
Each string is coded as: Sum of (Square of Position of each letter in string)
CHINA = 3^3+8^2+9^2+14^2+1^2 = 351
JAPAN = 10^2+1^2+16^2+1^2+14^2 = 554
NEPAL = 14^2+5^2+16^2+1^2+12^2 = 622
EGYPT = 5^2+7^2+25^2+16^2+20^2 = 1355

Option 9)

Correct Option: 9 Best Solution (14)

madanpal vishwakarma    8 years AGO

The encoding is as follows
A^2 + B^2 +C^2 +D^2 +E^2

where alphabets represent the position of english alphabet 1-26

CHINA = 3 8 9 14 1 = 9+64 +81 +196+1 =351

JAPAN = 10 1 16 1 14 = 100 + 1 + 256 +1 +196 =554

NEPAL = 14 5 16 1 12 = 196+ 25 +256 +1 +144 =622

SO
EGYPT =5 7 25 16 20 = 25 +49 +625 +256 + 400 = 1355

So Option 9 is correct.

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PRABHAT KUMAR   8 years AGO

writing place value of respective alphabet then square and then add all
E=5 =25
G=7 =49
Y=25 =625
P=16 =256
T=20 =400
ADDING ALL GET 1355
OPTION 9
!!!!!!!!######!!!!!!!

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CHINTHAMNEEDI JANANI   8 years AGO

C-3,H-8,I-9,N-14,A-1 so,(3^2+8^2+9^2+14^2+1^2)=351
like that
E-5,G-7,Y-25,P-16,T-20=1355

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Bareeth Ahamed   8 years AGO

NOTE:
(A-01,B-02,C-03....Y-25,Z-26)

1.CHINA = (C+H+I+N+A)
= (3+8+9+14+1)
= ((3*3)+(8*8)+(9*9)+(14*14)+(1*1))
= 9+64+81+196+1
= 351

2.JAPAN = (J+A+P+A+N)
= (10+1+16+1+14)
= ((10*10)+(1*1)+(16*16)+(1*1)+(14*14))
= 100+1+256+1+196
= 554

3.NEPAL = (N+E+P+A+L)
= (14+5+16+1+12)
= ((14*14)+(5*5)+(16*16)+(1*1)+(12*12))
= 196+25+256+1+144
= 622

4.EGYPT = (E+G+Y+P+T)
= (5+7+25+16+20)
= ((5*5)+(7*7)+(25*25)+(16*16)+(20*20))
= 25+49+625+256+400
= 1355

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Gowthaman   8 years AGO

EGYPT = E+G+Y+P+T
= 5+7+25+16+20
= (5*5)+(7*7)+(25*25)+(16*16)+(20*20)
= 25+49+625+256+400
= 1355

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gubba ranjith kumar   8 years AGO

A=1, B=2,......Z=26
EGYPT=(5^2)+(7^2)+(25^2)+(16^2)+(20^2)
=1355

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ANIL   8 years AGO

E=5.G=7,Y=25,P=16,T=20
THEN
THIS PATTERN IS FOLLOWED ie
5*5+7*7+25*25+16*16+20*20
=1355 answer

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Arjunan.R   8 years AGO

p has value of 5 in 4th place so one step forward it is 9 the option

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Rajni bala yadav   8 years AGO

the position of the alphabets having sum of square of the same.

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Siva   8 years AGO

A-Z coded as 1-26.
Sum of squares
25+49+625+256+400=1355

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Devendra Marghade   8 years AGO

Number the alphabet A=1, B=2,...., Z=26
Take the sum of numbers: CHINA=3^2 + 8^2 + 9^2 + 14^2 + 1^2 =351
JAPAN=10^2 + 1^2 + 16^2 + 1^2 + 14^2 = 554
NEPAL=14^2 + 5^2 + 16^2 + 1^2 + 12^2 = 622
EGYPT=5^2 + 7^2 + 25^2 + 16^2 + 20^2 = 1355
Option 9)

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Mukund Manohar   8 years AGO

Sum of square of positional values of english alphabets in the word.
CHINA(C=3,H=8,I=9,N=14,A=1)
= 3^2 + 8^2 + 9^2 + 14^2 + 1^2
= 9+64+81+196+1
= 351
JAPAN (J=10,A=1,P=16,A=1,N=14)
= 10^2 + 1^2 +16^2 + 1^2 + 14^2
= 100+1+256+1+196
= 554
Similarly, NEPAL = 622
EGYPT (E=5,G=7,Y=25,P=16,T=20)
= 5^2 + 7^2 + 25^2 + 16^2 + 20^2
= 25+49+625+256+400
= 1355

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Vivek   8 years AGO

Solution is, Sum of square of each alphabet's value in the sequence.

CHINA = 351
(3*3) + (8*8) + (9*9) + (14*14) + (1*1) = 351

Similarly for EGYPT,
(5*5) + (7*7) + (25*25) + (16*16) + (20*20) = 1355

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SORNA KAMALAM S   8 years AGO

SUM OF SQUARES OF THE POSITION OF THE LETTERS IN ENGLISH ALPHABETS .

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