In a certain code, ’27’ means ‘heavy rain’ and ’48’ means ‘bright lightning’.…
2025
In a certain code, ’27’ means ‘heavy rain’ and ’48’ means ‘bright lightning’. What do ‘8’ and ‘4’ mean respectively in that code ?
Statements:
i. ‘246’ means ‘heavy frightening lightning’’.
ii. ‘178’ means ‘rain weather bright’.
- A.
I alone is sufficient while II alone is not sufficient
- B.
II alone is sufficient while I alone is not sufficient
- C.
Either I or II is sufficient
- D.
Neither I nor II is sufficient
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Show answer & explanation
Correct answer: C
Given: 27 means heavy rain, so {2,7} = {heavy, rain}. Also 48 means bright lightning, so {4,8} = {bright, lightning}.
From the first statement, 246 means heavy frightening lightning. The common number between 27 and 246 is 2, so 2 = heavy. Then 7 = rain. In 246, the remaining numbers 4 and 6 stand for frightening and lightning. Since 48 has {4,8} = {bright, lightning} and bright is not in the first statement, 4 cannot be bright, so 4 = lightning and 8 = bright. Thus the first statement alone is sufficient.
From the second statement, 178 means rain weather bright. The common number between 27 and 178 is 7, and the common word is rain, so 7 = rain. In 48, 8 is either bright or lightning; since bright appears in the second statement and lightning does not, 8 = bright. Then 4 = lightning. Thus the second statement alone is also sufficient.
Therefore, either statement alone can determine that 8 means bright and 4 means lightning.