If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what…
2025
If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?
Answer: D. 19-23-17-19 — Assign to each letter the prime corresponding to its alphabet position: A is the \(1\)st prime \(2\), B is the \(2\)nd prime \(3\), C is the \(3\)rd prime…
- A.
5-17-1-2
- B.
17-19-13-17
- C.
13-3-1-2
- D.
19-23-17-19
Attempted by 6 students.
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Correct answer: D
Assign to each letter the prime corresponding to its alphabet position: A is the \(1\)st prime \(2\), B is the \(2\)nd prime \(3\), C is the \(3\)rd prime \(5\), D is the \(4\)th prime \(7\), E is the \(5\)th prime \(11\), G is the \(7\)th prime \(17\), H is the \(8\)th prime \(19\), and I is the \(9\)th prime \(23\). Thus HIDE gives \(19\)-\(23\)-\(7\)-\(11\), and CAGE gives \(5\)-\(2\)-\(17\)-\(11\). For HIGH, H \(=19\), I \(=23\), G \(=17\), and H \(=19\), so the code is \(19\)-\(23\)-\(17\)-\(19\).