In a certain code language, ‘CROWD’ is coded as 23415924 and ‘TRHICK’ is coded as 162491997. How will ‘FRUGAL’ be coded in that language?

The correct answer is 1512021921.

Step-by-step logic:
1. Reverse the word: Write the letters of the word in reverse order (from right to left).
2. Determine the numerical values:
- For consonants, use the reverse positional value (opposite alphabetical position, calculated as $27-\text{standard position}$).
- For vowels (A, E, I, O, U), use their standard positional value (A = 1, E = 5, I = 9, O = 15, U = 21).
3. Concatenate: Combine all the resulting numbers from left to right to form the final code.

Let's verify this logic with the given examples:
- CROWD:
Reversing the word gives: D - W - O - R - C
• D (consonant, standard = 4) ⇒ Reverse position = $27-4=23$
• W (consonant, standard = 23) ⇒ Reverse position = $27-23=4$
• O (vowel) ⇒ Standard position = 15
• R (consonant, standard = 18) ⇒ Reverse position = $27-18=9$
• C (consonant, standard = 3) ⇒ Reverse position = $27-3=24$
Concatenating these values: 23415924. (Matches the example)

- TRHICK:
Reversing the word gives: K - C - I - H - R - T
• K (consonant, standard = 11) ⇒ Reverse position = $27-11=16$
• C (consonant, standard = 3) ⇒ Reverse position = $27-3=24$
• I (vowel) ⇒ Standard position = 9
• H (consonant, standard = 8) ⇒ Reverse position = $27-8=19$
• R (consonant, standard = 18) ⇒ Reverse position = $27-18=9$
• T (consonant, standard = 20) ⇒ Reverse position = $27-20=7$
Concatenating these values: 162491997. (Matches the example)

Applying the same logic to FRUGAL:
Reversing the word gives: L - A - G - U - R - F
• L (consonant, standard = 12) ⇒ Reverse position = $27-12=15$
• A (vowel) ⇒ Standard position = 1
• G (consonant, standard = 7) ⇒ Reverse position = $27-7=20$
• U (vowel) ⇒ Standard position = 21
• R (consonant, standard = 18) ⇒ Reverse position = $27-18=9$
• F (consonant, standard = 6) ⇒ Reverse position = $27-6=21$
Concatenating these values yields: 1512021921.