Question:
If MONEY is coded as 144 200 171 0 600, then DOLLAR is coded as ________
If MONEY is coded as 144 200 171 0 600, then DOLLAR is coded as ________
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Find each letter's position in the alphabet, square it, then subtract 25.
Updated On: Jul 16, 2026
- -9 200 119 119 -24 299
- -8 200 106 106 -20 200
- 122 200 102 102 10 154
- 120 200 101 101 08 156
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The Correct Option is A
Solution and Explanation
Step 1: Find the position number of each letter in MONEY.
M is 13th, O is 15th, N is 14th, E is 5th, Y is 25th in the alphabet.
Step 2: Test a square minus 25 rule.
For M: \(13^2 = 169\), \(169 - 25 = 144\), matching the given code. For O: \(15^2 = 225\), \(225 - 25 = 200\), matching. For N: \(14^2 = 196\), \(196 - 25 = 171\), matching. For E: \(5^2 = 25\), \(25 - 25 = 0\), matching. For Y: \(25^2 = 625\), \(625 - 25 = 600\), matching. The rule, square the position and subtract 25, fits every letter.
Step 3: Find the position number of each letter in DOLLAR.
D is 4th, O is 15th, L is 12th, L is 12th again, A is 1st, R is 18th.
Step 4: Apply the rule to each letter.
D: \(4^2 - 25 = 16 - 25 = -9\). O: \(15^2 - 25 = 225 - 25 = 200\). L: \(12^2 - 25 = 144 - 25 = 119\). L (again): 119. A: \(1^2 - 25 = 1 - 25 = -24\). R: \(18^2 - 25 = 324 - 25 = 299\).
Step 5: Write the codes in the D, O, L, L, A, R order.
That gives -9, 200, 119, 119, -24, 299.
Final Answer:
\[ \boxed{-9\ \ 200\ \ 119\ \ 119\ \ {-24}\ \ 299} \] which matches option A.
M is 13th, O is 15th, N is 14th, E is 5th, Y is 25th in the alphabet.
Step 2: Test a square minus 25 rule.
For M: \(13^2 = 169\), \(169 - 25 = 144\), matching the given code. For O: \(15^2 = 225\), \(225 - 25 = 200\), matching. For N: \(14^2 = 196\), \(196 - 25 = 171\), matching. For E: \(5^2 = 25\), \(25 - 25 = 0\), matching. For Y: \(25^2 = 625\), \(625 - 25 = 600\), matching. The rule, square the position and subtract 25, fits every letter.
Step 3: Find the position number of each letter in DOLLAR.
D is 4th, O is 15th, L is 12th, L is 12th again, A is 1st, R is 18th.
Step 4: Apply the rule to each letter.
D: \(4^2 - 25 = 16 - 25 = -9\). O: \(15^2 - 25 = 225 - 25 = 200\). L: \(12^2 - 25 = 144 - 25 = 119\). L (again): 119. A: \(1^2 - 25 = 1 - 25 = -24\). R: \(18^2 - 25 = 324 - 25 = 299\).
Step 5: Write the codes in the D, O, L, L, A, R order.
That gives -9, 200, 119, 119, -24, 299.
Final Answer:
\[ \boxed{-9\ \ 200\ \ 119\ \ 119\ \ {-24}\ \ 299} \] which matches option A.
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