In a certain code, ARDENT is coded as 13 and CANOE is coded as 11. What is the…

Step 1 — Spot the pattern. Count the letters in each word and compare with its code.

ARDENT has 6 letters and is coded 13.
CANOE has 5 letters and is coded 11.

Step 2 — Find the rule. In both cases, (number of letters × 2) + 1 gives the code:

ARDENT: (6 × 2) + 1 = 12 + 1 = 13 ✓
CANOE: (5 × 2) + 1 = 10 + 1 = 11 ✓

Step 3 — Apply to REPRESENT. REPRESENT has 9 letters.

Code = (9 × 2) + 1 = 18 + 1 = 19.

Hence, the code for REPRESENT is 19.