In a certain code language, 'QKV' is coded as '14819' and 'SHY' is coded as '16522'. How will 'MDS' be coded in that language?
- A10116
- B13127
- C9127
- D12125
Solution & Step-by-step Explanation
Let's look at the alphabet positions (A=1,B=2,…,Z=26) or opposite positions (A=26,B=25,…,Z=1):
First code: QKV → 14819
Position of Q = 17 → Opposite position = 27−17=10. Let's check another logic: 17−3=14.
Position of K = 11 → Let's check 11−3=8.
Position of V = 22 → Let's check 22−3=19.
So the code is created by subtracting 3 from the real alphabetical position of each letter: Code=(Position−3).
Let's combine them: 14,8,19→14819.
Second code: SHY → 16522
Position of S = 19 →19−3=16
Position of H = 8 →8−3=5
Position of Y = 25 →25−3=22
Combining these gives 16,5,22→16522. This confirms our logic perfectly.
Applying the same logic to MDS:
Position of M = 13 →13−3=10
Position of D = 4 →4−3=1
Position of S = 19 →19−3=16
Combining these digits gives 10116.
First code: QKV → 14819
Position of Q = 17 → Opposite position = 27−17=10. Let's check another logic: 17−3=14.
Position of K = 11 → Let's check 11−3=8.
Position of V = 22 → Let's check 22−3=19.
So the code is created by subtracting 3 from the real alphabetical position of each letter: Code=(Position−3).
Let's combine them: 14,8,19→14819.
Second code: SHY → 16522
Position of S = 19 →19−3=16
Position of H = 8 →8−3=5
Position of Y = 25 →25−3=22
Combining these gives 16,5,22→16522. This confirms our logic perfectly.
Applying the same logic to MDS:
Position of M = 13 →13−3=10
Position of D = 4 →4−3=1
Position of S = 19 →19−3=16
Combining these digits gives 10116.