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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"?

  1. A
    Slow growth economy percentage range
  2. B
    Slow economy growth percentage rate
  3. C
    Slow percentage economy growth index
  4. D
    Economy 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.

Practice this question

Try it yourself before checking the explanation above.

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"?
A
Slow growth economy percentage range
B
Slow economy growth percentage rate
C
Slow percentage economy growth index
D
Economy down growth rate slow

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