CUET PG 2024 Reasoning PYQ — In a certain code if SCOTLAND is written as 12345678, LOAN is wri… | Mathem Solvex | Mathem Solvex
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CUET PG 2024 — Reasoning PYQ
CUET PG | Reasoning | 2024
In a certain code if SCOTLAND is written as 12345678, LOAN is written as 1435, LOTS is written as 8124, DAN is written as 537 and SON is written as 458, then what will be the code for ‘C’?
Choose the correct answer:
A.
4
B.
5
C.
6
(Correct Answer)
D.
8
Correct Answer:
6
Explanation
1. Common Letters Comparison
Humein diye gaye words ko equations ke roop mein likhna hoga:
SCOTLAND=12345678
LOAN=1435
LOTS=8124
DAN=537
SON=458
2. Elimination Method se Solving
Hum 'C' ko isolate karne ke liye dusre letters ki values nikalte hain:
L, O, A, N (from LOAN): Inke numbers {1,4,3,5} hain.
S, O, N (from SON): Inke numbers {4,5,8} hain.
Yahan O aur N dono words mein hain, aur common numbers 4,5 hain. Iska matlab:
{O,N}={4,5}
S=8
L, O, T, S (from LOTS): Inke numbers {8,1,2,4} hain.
Humein pata hai S=8 aur O=4 (kyunki 4 yahan hai par SON mein bhi tha).
Bache hue numbers {1,2} hain jo L aur T ke liye hain.
LOAN (1435) mein L hai aur number 1 hai. Isliye:
L=1
T=2
D, A, N (from DAN): Inke numbers {5,3,7} hain.
Niche ki equation se N=5 hai, toh {D,A}={3,7}.
LOAN (1435) mein A hai aur bacha hua number 3 hai. Isliye:
A=3
D=7
3. 'C' ki Value nikalna
Ab hum SCOTLAND(12345678) ki sabhi values ko replace karte hain:
S=8
L=1
O=4
T=2
A=3
N=5
D=7
Equation:
Letters: {S,C,O,T,L,A,N,D}
Numbers: {8,C,4,2,1,3,5,7}
Saare numbers use ho chuke hain siway 6 ke.
Code for ’C’ =6
Final Answer:
Code for 'C' is 6.
Explanation
1. Common Letters Comparison
Humein diye gaye words ko equations ke roop mein likhna hoga:
SCOTLAND=12345678
LOAN=1435
LOTS=8124
DAN=537
SON=458
2. Elimination Method se Solving
Hum 'C' ko isolate karne ke liye dusre letters ki values nikalte hain:
L, O, A, N (from LOAN): Inke numbers {1,4,3,5} hain.
S, O, N (from SON): Inke numbers {4,5,8} hain.
Yahan O aur N dono words mein hain, aur common numbers 4,5 hain. Iska matlab:
{O,N}={4,5}
S=8
L, O, T, S (from LOTS): Inke numbers {8,1,2,4} hain.
Humein pata hai S=8 aur O=4 (kyunki 4 yahan hai par SON mein bhi tha).
Bache hue numbers {1,2} hain jo L aur T ke liye hain.
LOAN (1435) mein L hai aur number 1 hai. Isliye:
L=1
T=2
D, A, N (from DAN): Inke numbers {5,3,7} hain.
Niche ki equation se N=5 hai, toh {D,A}={3,7}.
LOAN (1435) mein A hai aur bacha hua number 3 hai. Isliye:
A=3
D=7
3. 'C' ki Value nikalna
Ab hum SCOTLAND(12345678) ki sabhi values ko replace karte hain: