Coding-Decoding Questions in English

(D) By comparing the codes for $CHARCOAL$ $(45164913)$ and $MORALE$ $(296137)$,we can identify the code for each letter:
$C = 4, H = 5, A = 1, R = 6, O = 9, L = 3, M = 2, E = 7$.
To find the code for $COLLAR$,we substitute the values:
$C = 4$
$O = 9$
$L = 3$
$L = 3$
$A = 1$
$R = 6$
Thus,the code for $COLLAR$ is $493316$.

(C) The alphabets are assigned specific numerical codes based on the given words:
$CHARCOAL$ = $45164913$
$MORALE$ = $296137$
By comparing the letters and their positions,we get:
$C=4, H=5, A=1, R=6, O=9, L=3, M=2, E=7$
Now,we map the letters of $MECHRALE$ using these codes:
$M=2$
$E=7$
$C=4$
$H=5$
$R=6$
$A=1$
$L=3$
$E=7$
Therefore,$MECHRALE$ is coded as $27456137$.

(B) Given codes are:
$S = 5, H = 8, A = 0, R = 3, P = 4$
$P = 4, U = 6, S = 5, H = 8$
By comparing the letters in $RUSH$ with the given codes:
$R = 3$
$U = 6$
$S = 5$
$H = 8$
Therefore,the code for $RUSH$ is $3658$.

(A) The alphabets are coded as follows:
$G = 7, A = 2, R = 5, I = 4, M = 3$
$T = 6, I = 4, N = 8, A = 2$
By mapping these values to the word $MARTINA$:
$M = 3$
$A = 2$
$R = 5$
$T = 6$
$I = 4$
$N = 8$
$A = 2$
Therefore,$MARTINA$ is coded as $3256482$.

(A) By comparing the given codes:
$RIPSLE = 613082$
$WIFE = 4192$
Mapping the letters to their respective digits:
$R=6, I=1, P=3, S=0, L=8, E=2, W=4, F=9$
Now,we need to find the code for $PEWSLE$:
$P=3$
$E=2$
$W=4$
$S=0$
$L=8$
$E=2$
Therefore,$PEWSLE$ is written as $324082$.

(A) The alphabets in the given words are coded as follows:
$M=9, I=7, S=6, T=5, A=4, K=1, E=2$
$N=8, A=4, K=1, E=2, D=3$
By comparing the codes,we identify the values for each letter:
$D=3, I=7, S=6, T=5, A=4, N=8$
Therefore,the code for $DISTANT$ is $3765485$.

(C) The alphabets in the given words are coded as follows:
$M=9, I=7, S=6, T=5, A=4, K=1, E=2$
$N=8, A=4, K=1, E=2, D=3$
By comparing the letters,we get the following mapping:
$N=8, E=2, M=9, I=7, S=6, E=2, S=6$
Therefore,the code for $NEMISES$ is $8297626$.

(B) The alphabets in the given words are coded as follows:
$M=9, I=7, S=6, T=5, A=4, K=1, E=2$
$N=8, A=4, K=1, E=2, D=3$
By comparing both codes,we identify the values for each letter:
$A=4, S=6, I=7, T=5$
For the word $ASSIST$:
$A=4, S=6, S=6, I=7, S=6, T=5$
Therefore,$ASSIST$ is coded as $466765$.

(C) The alphabets in the given words are coded as follows:
$M=9, I=7, S=6, T=5, A=4, K=1, E=2$
$N=8, A=4, K=1, E=2, D=3$
By comparing the letters,we identify the code for each character:
$I=7, N=8, T=5, I=7, M=9, A=4, T=5, E=2$
Therefore,the code for $INTIMATE$ is $78579452$.

(D) The alphabets in the given words are coded as follows:
$M=9, I=7, S=6, T=5, A=4, K=1, E=2$
$N=8, A=4, K=1, E=2, D=3$
Comparing the codes,we find:
$S = 6$
$T = 5$
$A = 4$
$I = 7$
$N = 8$
Therefore,$STAIN$ is coded as $65478$.

(B) Analyze the pattern in the given code $24685 \rightarrow 33776$:
Digits at odd positions $(1^{st}, 3^{rd}, 5^{th})$ are increased by $1$: $2+1=3$,$6+1=7$,$5+1=6$.
Digits at even positions $(2^{nd}, 4^{th})$ are decreased by $1$: $4-1=3$,$8-1=7$.
Applying the same logic to $35791$:
$1^{st}$ digit $(3)$: $3+1=4$
$2^{nd}$ digit $(5)$: $5-1=4$
$3^{rd}$ digit $(7)$: $7+1=8$
$4^{th}$ digit $(9)$: $9-1=8$
$5^{th}$ digit $(1)$: $1-1=0$
Thus,$35791$ is written as $44880$.

(B) Analyze the pattern of the given code $35796 \rightarrow 44887$:
$3 + 1 = 4$
$5 - 1 = 4$
$7 + 1 = 8$
$9 - 1 = 8$
$6 + 1 = 7$
The pattern is $+1, -1, +1, -1, +1$.
Applying this pattern to $46823$:
$4 + 1 = 5$
$6 - 1 = 5$
$8 + 1 = 9$
$2 - 1 = 1$
$3 + 1 = 4$
Thus,$46823$ is written as $55914$.

(D) The alphabets are coded as shown below:
$M = 3, I = 1, N = 2, J = 5, U = 4, R = 7$
$T = 6, A = 8, D = 9$
By substituting these values for the word $MADURAI$:
$M = 3$
$A = 8$
$D = 9$
$U = 4$
$R = 7$
$A = 8$
$I = 1$
Therefore,$MADURAI$ is coded as $3894781$.

(D) In the given code, each letter corresponds to its position in the English alphabet: $A = 1, B = 2, C = 3, \dots, Z = 26$.
For $PALAM$: $P(16) + A(1) + L(12) + A(1) + M(13) = 43$.
Similarly, for $SANTACRUZ$:
$S(19) + A(1) + N(14) + T(20) + A(1) + C(3) + R(18) + U(21) + Z(26) = 123$.
Therefore, the code number for $SANTACRUZ$ is $123$.

(D) The logic used is that each letter is assigned a value equal to twice its position in the English alphabet ($A=1 \times 2=2$,$B=2 \times 2=4$,$C=3 \times 2=6$,...,$Z=26 \times 2=52$).
For $ACT$:
$A = 1 \times 2 = 2$
$C = 3 \times 2 = 6$
$T = 20 \times 2 = 40$
$ACT = 2 + 6 + 40 = 48$.
For $BAT$:
$B = 2 \times 2 = 4$
$A = 1 \times 2 = 2$
$T = 20 \times 2 = 40$
$BAT = 4 + 2 + 40 = 46$.

(C) The logic used for coding is: Code = (Number of letters in the word) $- 1$.
For $REASON$,the number of letters is $6$. So,$6 - 1 = 5$.
For $BELIEVED$,the number of letters is $8$. So,$8 - 1 = 7$.
For $GOVERNMENT$,the number of letters is $10$. So,$10 - 1 = 9$.

(A) The logic used is that the position of each letter is taken from the end of the alphabet $(Z=1, Y=2, X=3, \dots, A=26)$.
For $GO$: $G$ is $20^{th}$ from the end and $O$ is $12^{th}$ from the end. So, $20 + 12 = 32$.
For $SHE$: $S$ is $8^{th}$, $H$ is $19^{th}$, and $E$ is $22^{nd}$ from the end. So, $8 + 19 + 22 = 49$.
For $SOME$: $S$ is $8^{th}$, $O$ is $12^{th}$, $M$ is $14^{th}$, and $E$ is $22^{nd}$ from the end.
Therefore, $SOME = 8 + 12 + 14 + 22 = 56$.

(C) Assigning numerical values to letters based on their position in the English alphabet $(A=1, B=2, C=3, \dots, T=20, \dots, X=24, \dots, Z=26)$:
Given $XT = 20$. Here, $X$ is the $24^{th}$ letter and $T$ is the $20^{th}$ letter. However, based on the provided logic $XT = 20$, it implies the product of the values is not used directly, but rather the value of $T$ is $20$. Let's re-evaluate: $BAT = B \times A \times T = 2 \times 1 \times 20 = 40$.
Following this pattern, $CAT = C \times A \times T = 3 \times 1 \times 20 = 60$.
Therefore, $CAT = 60$.

(A) The pattern is based on the alphabetical position of each letter plus a constant value.
For $MACHINE$:
$M(13) + 6 = 19$
$A(1) + 6 = 7$
$C(3) + 6 = 9$
$H(8) + 6 = 14$
$I(9) + 6 = 15$
$N(14) + 6 = 20$
$E(5) + 6 = 11$
Thus,the code is $19-7-9-14-15-20-11$.
Applying the same logic to $DANGER$:
$D(4) + 6 = 10$
$A(1) + 6 = 7$
$N(14) + 6 = 20$
$G(7) + 6 = 13$
$E(5) + 6 = 11$
$R(18) + 6 = 24$
Therefore,the code for $DANGER$ is $10-7-20-13-11-24$.

(A) Assigning numerical values to each letter based on its position in the English alphabet $(A=1, B=2, C=3, \dots, Z=26)$:
For $PRATAP$:
$P=16, R=18, A=1, T=20, A=1, P=16$.
Concatenating these values gives $1618120116$.
Similarly, for $NAVIN$:
$N=14, A=1, V=22, I=9, N=14$.
Concatenating these values gives $14122914$.

(B) The logic used is the sum of the digits of the position of each letter in the English alphabet $(A=1, B=2, \dots, Z=26)$.
For $MOBILITY$:
$M = 13 \rightarrow 1+3 = 4$
$O = 15 \rightarrow 1+5 = 6$
$B = 2 \rightarrow 2$
$I = 9 \rightarrow 9$
$L = 12 \rightarrow 1+2 = 3$
$I = 9 \rightarrow 9$
$T = 20 \rightarrow 2+0 = 2$
$Y = 25 \rightarrow 2+5 = 7$
Result: $46293927$.
For $EXAMINATION$:
$E = 5 \rightarrow 5$
$X = 24 \rightarrow 2+4 = 6$
$A = 1 \rightarrow 1$
$M = 13 \rightarrow 1+3 = 4$
$I = 9 \rightarrow 9$
$N = 14 \rightarrow 1+4 = 5$
$A = 1 \rightarrow 1$
$T = 20 \rightarrow 2+0 = 2$
$I = 9 \rightarrow 9$
$O = 15 \rightarrow 1+5 = 6$
$N = 14 \rightarrow 1+4 = 5$
Result: $56149512965$.

(C) The logic used is based on the digital root or the remainder when the alphabetical position of each letter is divided by $9$. If the remainder is $0$,it is represented as $9$.
For $MASTER$:
$M = 13 \rightarrow 1+3 = 4$
$A = 1 \rightarrow 1$
$S = 19 \rightarrow 1+9 = 10 \rightarrow 1+0 = 1$
$T = 20 \rightarrow 2+0 = 2$
$E = 5 \rightarrow 5$
$R = 18 \rightarrow 1+8 = 9$
Thus,$MASTER$ is coded as $411259$.
For $POWDER$:
$P = 16 \rightarrow 1+6 = 7$
$O = 15 \rightarrow 1+5 = 6$
$W = 23 \rightarrow 2+3 = 5$
$D = 4 \rightarrow 4$
$E = 5 \rightarrow 5$
$R = 18 \rightarrow 1+8 = 9$
Thus,$POWDER$ is coded as $765459$.

(D) Given the coding scheme:
$2 = P$
$3 = N$
$9 = Q$
$5 = R$
$4 = A$
$6 = B$
To find the code for $599423$,we substitute each digit with its corresponding letter:
$5 \rightarrow R$
$9 \rightarrow Q$
$9 \rightarrow Q$
$4 \rightarrow A$
$2 \rightarrow P$
$3 \rightarrow N$
Therefore,$599423$ is coded as $RQQAPN$.
Hence,the correct option is $D$.

(C) By observing the given codes:
$3 = R$
$4 = O$
$5 = P$
$6 = E$
$1 = A$
$2 = L$
Now,we need to decode $54613$ using the established mapping:
$5 = P$
$4 = O$
$6 = E$
$1 = A$
$3 = R$
Therefore,$54613$ is coded as $POEAR$.
Hence,the correct option is $C$.

(C) In the given codes,the mapping between numbers and letters is as follows:
For $15789 = EGKPT$:
$1=E, 5=G, 7=K, 8=P, 9=T$
For $2346 = ALUR$:
$2=A, 3=L, 4=U, 6=R$
To find the code for $23549$,we substitute the corresponding letters:
$2 = A$
$3 = L$
$5 = G$
$4 = U$
$9 = T$
Therefore,$23549$ is written as $ALGUT$.

(B) Given codes:
$3456 = ROPE$
$15526 = APPLE$
By comparing the numbers and letters:
$3 = R$
$4 = O$
$5 = P$
$6 = E$
$1 = A$
$2 = L$
To find the code for $54613$:
$5 = P$
$4 = O$
$6 = E$
$1 = A$
$3 = R$
Therefore,$54613$ is coded as $POEAR$.

(D) Based on the provided table:
$1$ is coded as $M$
$8$ is coded as $D$
$4$ is coded as $B$
$6$ is coded as $J$
$3$ is coded as $I$
$2$ is coded as $L$
Therefore,the number $184632$ is coded as $MDBJIL$.

(C) To codify the number $879341$,we map each digit to its corresponding letter based on the provided table:
- $8$ corresponds to $D$
- $7$ corresponds to $W$
- $9$ corresponds to $N$
- $3$ corresponds to $I$
- $4$ corresponds to $B$
- $1$ corresponds to $M$
Combining these letters in the order of the digits,we get $DWNIBM$.

(A) To find the code for the number $64928$,we map each digit to its corresponding letter based on the provided table:
- Digit $6$ corresponds to letter $J$.
- Digit $4$ corresponds to letter $B$.
- Digit $9$ corresponds to letter $N$.
- Digit $2$ corresponds to letter $L$.
- Digit $8$ corresponds to letter $D$.
Combining these letters,the code for $64928$ is $JBNLD$.

(D) The given codes are:
$1 = A, 5 = X, 7 = B, 8 = T, 9 = C$
$2 = M, 3 = P, 4 = D, 6 = U$
To find the code for $23549$,we map each digit to its corresponding letter:
$2 = M$
$3 = P$
$5 = X$
$4 = D$
$9 = C$
Therefore,$23549$ is written as $MPXDC$.

(C) The numbers are mapped to letters based on the given codes:
$1 \rightarrow X, 5 \rightarrow T, 7 \rightarrow Z, 8 \rightarrow A, 9 \rightarrow L$
$2 \rightarrow N, 3 \rightarrow P, 4 \rightarrow S, 6 \rightarrow U$
To find the code for $23549$,we substitute the corresponding letters:
$2 \rightarrow N$
$3 \rightarrow P$
$5 \rightarrow T$
$4 \rightarrow S$
$9 \rightarrow L$
Therefore,$23549$ is written as $NPTSL$.

(B) By observing the given codes,we can map each digit to its corresponding letter:
$3 = P$
$9 = O$
$4 = A$
$6 = L$
$1 = R$
$8 = S$
$7 = E$
Now,we need to find the code for $94678$:
$9 = O$
$4 = A$
$6 = L$
$7 = E$
$8 = S$
Therefore,$94678$ is coded as $OALES$.

(D) By observing the given codes:
$9 = B$
$4 = E$
$3 = D$
$1 = S$
$2 = W$
$8 = T$
Mapping the digits for $492311$:
$4 = E$
$9 = B$
$2 = W$
$3 = D$
$1 = S$
$1 = S$
Therefore,$492311$ is coded as $EBWDSS$.

(A) Based on the provided table:
$4$ is coded as $A$.
$2$ is coded as $Q$.
$1$ is coded as $R$.
$6$ is coded as $B$.
$6$ is coded as $B$.
$5$ is coded as $G$.
Therefore,the number $421665$ is coded as $AQRBBG$.

(C) According to the provided table:
$6$ is coded as $B$
$7$ is coded as $E$
$8$ is coded as $S$
$2$ is coded as $J$
$5$ is coded as $G$
Therefore,the number $67825$ is coded as $BESJG$.

(D) Based on the provided table:
$5$ is coded as $G$.
$2$ is coded as $J$.
$1$ is coded as $R$.
$8$ is coded as $S$.
Therefore,the number $55218$ is coded by mapping each digit to its corresponding letter:
$5 \rightarrow G$
$5 \rightarrow G$
$2 \rightarrow J$
$1 \rightarrow R$
$8 \rightarrow S$
Combining these,$55218$ is coded as $GGJRS$.

(A) From the given table,we identify the code for each digit:
$9$ is coded as $P$.
$1$ is coded as $R$.
$3$ is coded as $W$.
$5$ is coded as $G$.
$2$ is coded as $J$.
Therefore,the number $91352$ is coded as $PRWGJ$.

(C) Based on the provided table:
$7$ is coded as $E$.
$2$ is coded as $J$.
$0$ is coded as $M$.
$4$ is coded as $A$.
$3$ is coded as $W$.
$5$ is coded as $G$.
Therefore,the number $720435$ is coded as $EJMAWG$.

(B) According to the provided table:
$6$ is coded as $B$.
$5$ is coded as $G$.
$0$ is coded as $M$.
Therefore,the number $6650$ is coded by taking the code for each digit sequentially:
$6 \rightarrow B$
$6 \rightarrow B$
$5 \rightarrow G$
$0 \rightarrow M$
Thus,$6650$ is coded as $BBGM$.

(A) From the given table:
$3$ is coded as $W$.
$2$ is coded as $J$.
$1$ is coded as $R$.
$5$ is coded as $G$.
Therefore,the number $3215$ is coded as $WJRG$.

(C) Based on the provided table:
$6$ is coded as $B$.
$7$ is coded as $E$.
$8$ is coded as $S$.
$5$ is coded as $G$.
$2$ is coded as $J$.
Therefore,the number $67852$ is coded as $BSEGJ$.

(A) Based on the provided table:
$4$ is coded as $A$
$3$ is coded as $W$
$9$ is coded as $P$
$2$ is coded as $Q$
$1$ is coded as $R$
$6$ is coded as $B$
Therefore,the number $439216$ is coded as $AWPQRB$.

(A) By observing the given codes:
$3 = S, 6 = M, 4 = I, 9 = L, 2 = E$
$0 = R, 5 = U, 8 = N$
To find the code for $33980$,we substitute the corresponding letters:
$3 \rightarrow S$
$3 \rightarrow S$
$9 \rightarrow L$
$8 \rightarrow N$
$0 \rightarrow R$
Therefore,$33980$ is coded as $SSLNR$.

(D) The given numbers are mapped to letters as follows:
$3 = S, 6 = M, 4 = I, 9 = L, 2 = E$
$0 = R, 5 = U, 8 = N$
To find the code for $6458$,we substitute the corresponding letters:
$6 = M$
$4 = I$
$5 = U$
$8 = N$
Thus,$6458$ is coded as $MIUN$.

(C) By observing the given codes,we can map each digit to its corresponding letter:
$3 = S, 6 = M, 4 = I, 9 = L, 2 = E$
$0 = R, 5 = U, 8 = N$
To find the code for $92486$,we substitute the digits with their respective letters:
$9 = L$
$2 = E$
$4 = I$
$8 = N$
$6 = M$
Therefore,$92486$ is coded as $LEINM$.

(B) The given numbers are coded as follows:
$3 = S, 6 = M, 4 = I, 9 = L, 2 = E$
$0 = R, 5 = U, 8 = N$
To find the code for $54324$,we map each digit to its corresponding letter:
$5 = U$
$4 = I$
$3 = S$
$2 = E$
$4 = I$
Therefore,$54324$ is coded as $UISEI$.

(D) By observing the given codes:
$3 = S, 6 = M, 4 = I, 9 = L, 2 = E$
$0 = R, 5 = U, 8 = N$
To code $90089$,we substitute the corresponding letters:
$9 = L$
$0 = R$
$0 = R$
$8 = N$
$9 = L$
Therefore,$90089$ is coded as $LRRNL$.

(D) By observing the given codes:
$3 = S$
$6 = M$
$4 = I$
$9 = L$
$2 = E$
$0 = R$
$5 = U$
$8 = N$
To find the code for $3425$,we map each digit to its corresponding letter:
$3 \rightarrow S$
$4 \rightarrow I$
$2 \rightarrow E$
$5 \rightarrow U$
Therefore,$3425$ is coded as $SIEU$.

(B) From the given information,we have the following mappings:
$3 = S$
$6 = M$
$4 = I$
$9 = L$
$2 = E$
To find the code for $29463$,we substitute the corresponding letters:
$2 = E$
$9 = L$
$4 = I$
$6 = M$
$3 = S$
Therefore,$29463$ is coded as $ELIMS$.

(D) To find the code for the word "$COLD$",we check the possible row and column indices for each letter:
$1$. For $C$: In Matrix $I$,$C$ is at $(0,4), (1,0), (2,1), (3,1), (4,4)$.
$2$. For $O$: In Matrix $II$,$O$ is at $(5,7), (6,9), (7,8), (8,5), (9,6)$.
$3$. For $L$: In Matrix $II$,$L$ is at $(5,6), (6,8), (7,9), (8,9), (9,5)$.
$4$. For $D$: In Matrix $I$,$D$ is at $(0,0), (1,1), (2,4), (3,2), (4,1)$.
Now,check the options:
Option $A$: $44(C), 96(O), 95(L), 22(E)$. Incorrect (last letter is $E$,not $D$).
Option $B$: $31(C), 99(T), 77(T), 22(E)$. Incorrect.
Option $C$: $30(K), 66(P), 86(T), 43(K)$. Incorrect.
Option $D$: $10(C), 85(O), 79(L), 24(D)$. This matches all letters correctly.
Therefore,the correct set is $10, 85, 79, 24$.