Question

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

The word RUSH will be coded as 38-16-36-42.

1. Find the mathematical rule:
   Each letter's position in the alphabet (A=1, B=2, ..., Z=26) is multiplied by 2.

   • BOAT: B(2×2=4), O(15×2=30), A(1×2=2), T(20×2=40)

   • PINK: P(16×2=32), I(9×2=18), N(14×2=28), K(11×2=22)

2. Find the positional rearrangement rule:
   The sequence of the numbers is rearranged based on their original positions inside the 4-letter word. Looking closely at the examples, the code places the last two letters first, followed by the first two letters (Positions: 3rd, 4th, 1st, 2nd).

   • BOAT $\rightarrow$ rearranged as A - T - B - O $\rightarrow$ 2 - 40 - 4 - 30

   • PINK $\rightarrow$ rearranged as N - K - P - I $\rightarrow$ 28 - 22 - 32 - 18

3. Apply the pattern to RUSH:

   • Get the doubled values first:

     • R = 18 $\times$ 2 = 36

     • U = 21 $\times$ 2 = 42

     • S = 19 $\times$ 2 = 38

     • H = 8 $\times$ 2 = 16

   • Rearrange the positions to match the 3rd - 4th - 1st - 2nd letter pattern (S - H - R - U):

     • 38 - 16 - 36 - 42