In a certain type of code, 'they play cricket together' is written as 'mv kb lb iv'; 'they score maximum points' is written as 'gb lb mb kv'; 'cricket score earned points' is written as 'mb gv kb kv' and 'points are earned together' is written as 'kv mv ob gv'. What is the code for 'earned maximum points'?
Show Hint
- gv gb kv
- mv kb mb
- lb iv ob
- ob mb iv
The Correct Option is A
Solution and Explanation
From "cricket score earned points" $\to$ \{mb, gv, kb, kv\} and "points are earned together" $\to$ \{kv, mv, ob, gv\}.
Common codes $=$ \{gv, kv\} $\Rightarrow$ these correspond to \{earned, points\}. Step 2: Disambiguate which is which.
"They score maximum points" has codes \{gb, lb, mb, kv\} and includes "points" but not "earned"; hence "points" $\Rightarrow$ kv. Therefore "earned" $\Rightarrow$ gv. Step 3: Determine the code for "maximum".
"They play cricket together" $\to$ \{mv, kb, lb, iv\}. "They score maximum points" $\to$ \{gb, lb, mb, kv\}.
Common code is lb $\Rightarrow$ "they" $\Rightarrow$ lb. From "cricket score earned points" we have "score" or "cricket" $\Rightarrow$ mb or kb; cross-check with the first sentence shows "cricket" $\Rightarrow$ kb, so "score" $\Rightarrow$ mb. Thus the remaining code in sentence 2 for "maximum" is gb. Step 4: Encode the phrase in order.
"earned" $\Rightarrow$ gv,\quad "maximum" $\Rightarrow$ gb,\quad "points" $\Rightarrow$ kv.
Therefore, the code is \[ \boxed{\text{gv gb kv}}. \]
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