In a certain code language, some statements are coded as given.
"Economy growth level down" is coded as "77 42 11 36".
"Slow percentage rate range" is coded as "55 91 23 82".
"Economy growth rate index range" is coded as "77 64 91 11 82".
"Economy range level down" is coded as "36 11 42 82".
What is the code for "55 11 77 23 91"?
- ASlow growth economy percentage range
- BSlow economy growth percentage rate
- CSlow percentage economy growth index
- DEconomy down growth rate slow
Solution & Step-by-step Explanation
Let's compare the statements to isolate individual codes:
From statements 1 and 4: "Economy level down" are common, codes common are "11 42 36". Thus, the remaining word in statement 1 is "growth", which must be coded as "77".
From statements 1, 3, and 4: "Economy" is common to all three. The common code in 1, 3, and 4 is "11". So, "Economy" = "11".
From statements 2, 3, and 4: "range" is common to all three. The common code is "82". So, "range" = "82".
From statements 2 and 3: "rate" is common. The common code is "91". So, "rate" = "91".
From statement 2, the remaining words are "Slow" and "percentage", and the remaining codes are "55" and "23". Therefore, {"Slow", "percentage"} = {"55", "23"}.
Now let's find the words for the code group "55 11 77 23 91":
55 and 23 → "Slow" and "percentage"
11 → "Economy"
77 → "growth"
91 → "rate"
Combining these words gives: "Slow", "percentage", "Economy", "growth", "rate".
Matching with Option B: "Slow economy growth percentage rate" contains exactly these 5 words.
From statements 1 and 4: "Economy level down" are common, codes common are "11 42 36". Thus, the remaining word in statement 1 is "growth", which must be coded as "77".
From statements 1, 3, and 4: "Economy" is common to all three. The common code in 1, 3, and 4 is "11". So, "Economy" = "11".
From statements 2, 3, and 4: "range" is common to all three. The common code is "82". So, "range" = "82".
From statements 2 and 3: "rate" is common. The common code is "91". So, "rate" = "91".
From statement 2, the remaining words are "Slow" and "percentage", and the remaining codes are "55" and "23". Therefore, {"Slow", "percentage"} = {"55", "23"}.
Now let's find the words for the code group "55 11 77 23 91":
55 and 23 → "Slow" and "percentage"
11 → "Economy"
77 → "growth"
91 → "rate"
Combining these words gives: "Slow", "percentage", "Economy", "growth", "rate".
Matching with Option B: "Slow economy growth percentage rate" contains exactly these 5 words.