Join 60,000+ competitive exam aspirants
or with email
Your Cart
Subtotal₹0
Total₹0
Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Join 60,000+ competitive exam aspirants
In a code language, 'PEN' is coded as 9 and 'WOLF' is coded as 16. How will 'ISLAND' be coded in the same language?
18
24
36
42
36
Quick Trick: Count the number of letters in each word and square the count: PEN has 3 letters (3 squared = 9), WOLF has 4 letters (4 squared = 16). For ISLAND (6 letters), 6 squared = 36.
Count the number of letters in each word and square the count: PEN has 3 letters (3 squared = 9), WOLF has 4 letters (4 squared = 16). For ISLAND (6 letters), 6 squared = 36.
Analyze the pattern for 'PEN'
Count the number of letters in the word 'PEN': P-E-N has 3 letters. The given code is 9. Observing the relationship: 3² = 9.
Verify the pattern for 'WOLF'
Count the number of letters in the word 'WOLF': W-O-L-F has 4 letters. The given code is 16. Checking the same logic: 4² = 16.
Apply the verified rule to 'ISLAND'
Count the number of letters in 'ISLAND': I-S-L-A-N-D has 6 letters. Applying the rule (Number of letters)² gives 6² = 36.
A: 18 corresponds to 6 multiplied by 3, which fails the power/squaring logic established in previous words. B: 24 corresponds to 6 multiplied by 4, which does not match the n² rule. D: 42 corresponds to 6 multiplied by 7, which is incorrect.
C is correct because 'ISLAND' has 6 letters and squaring the letter count (6²) yields 36, following the identical logic of 'PEN' (3²=9) and 'WOLF' (4²=16).
When a word codes to a small number (less than 50), first check word length operations (length, length², or length × constant) before testing positional values (like A=1, B=2).