Question:
If PHONE : 63, COIR : 49, BAT : ?
If PHONE : 63, COIR : 49, BAT : ?
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In word-number coding, try sum of letter positions first—it often appears with simple additions.
Updated On: Apr 21, 2026
- 26
- 36
- 46
- 27
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The Correct Option is A
Solution and Explanation
Concept:
The pattern is based on the sum of squares of positions of letters.
Step 1: Check PHONE.
\[ P(16),\ H(8),\ O(15),\ N(14),\ E(5) \] \[ 16^2 + 8^2 + 15^2 + 14^2 + 5^2 = 256 + 64 + 225 + 196 + 25 = 766 \] \[ \sqrt{766} \approx 27.6 \ ({approx not exact}) \] Better observe: \[ P + H + O + N + E = 16+8+15+14+5 = 58 \] \[ 58 + 5 = 63 \]
Step 2: Check COIR.
\[ C(3),\ O(15),\ I(9),\ R(18) \] \[ 3+15+9+18 = 45 \] \[ 45 + 4 = 49 \] Pattern: \[ {Sum of letters} + {number of letters} \]
Step 3: Apply to BAT.
\[ B(2),\ A(1),\ T(20) \] \[ 2+1+20 = 23 \] \[ 23 + 3 = 26 \]
Hence, the answer is 26.
Step 1: Check PHONE.
\[ P(16),\ H(8),\ O(15),\ N(14),\ E(5) \] \[ 16^2 + 8^2 + 15^2 + 14^2 + 5^2 = 256 + 64 + 225 + 196 + 25 = 766 \] \[ \sqrt{766} \approx 27.6 \ ({approx not exact}) \] Better observe: \[ P + H + O + N + E = 16+8+15+14+5 = 58 \] \[ 58 + 5 = 63 \]
Step 2: Check COIR.
\[ C(3),\ O(15),\ I(9),\ R(18) \] \[ 3+15+9+18 = 45 \] \[ 45 + 4 = 49 \] Pattern: \[ {Sum of letters} + {number of letters} \]
Step 3: Apply to BAT.
\[ B(2),\ A(1),\ T(20) \] \[ 2+1+20 = 23 \] \[ 23 + 3 = 26 \]
Hence, the answer is 26.
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