Question

In a certain code BOAT is coded as 2-40-4-30 and PINK is coded as 28-22-32-18.How will the word RUSH coded:

• A. 21-18-38-16
• B. 32-18-34-40
• C. 24-18-32-14
• D. 38-16-36-42

Answer 1

Answer:

D. 38-16-36-42

Answer: 38-16-36-42

## Short Explanation

The pattern rearranges the letters into the order of (3rd, 4th, 1st, 2nd) and then multiplies their position numbers by 2:

1. BOAT

• Original: B(2), O(15), A(1), T(20)

• Rearranged: A, T, B, O $\rightarrow$ 1, 20, 2, 15

• Multiply by 2: $1\times2=\mathbf{2}$, $20\times2=\mathbf{40}$, $2\times2=\mathbf{4}$, $15\times2=\mathbf{30}$

• Code: 2-40-4-30

2. PINK

• Original: P(16), I(9), N(14), K(11)

• Rearranged: N, K, P, I $\rightarrow$ 14, 11, 16, 9

• Multiply by 2: $14\times2=\mathbf{28}$, $11\times2=\mathbf{22}$, $16\times2=\mathbf{32}$, $9\times2=\mathbf{18}$

• Code: 28-22-32-18

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1. Rearrange Pattern: The letters shift in the order of 3rd, 4th, 1st, 2nd position.

2. Apply to RUSH:

* Original: R(18), U(21), S(19), H(8)

* Rearranged: S, H, R, U → 19, 8, 18, 21

3. Multiply by 2:

* $19 \times 2 = \mathbf{38}$

* $8 \times 2 = \mathbf{16}$

* $18 \times 2 = \mathbf{36}$

* $21 \times 2 = \mathbf{42}$