In this question three statements are given followed by four conclusions. You have to assume that everything given in the statements is true, then consider the given conclusions together and decide which of them logically follows from the information given in the statements beyond any doubt.

Statements: All meters are feet. Some feet are inches. All inches are yards.

Conclusions:

i. Some feet are yards

ii. Some meters are yards.

iii. No meters are yards

iv. All meters are inches

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RPF SI (2018) Official Paper (Held On: 19 Dec, 2018 Shift 1)
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  1. Only i, iii and iv
  2. ​Only i, and either ii or iii
  3. ​Only i and ii
  4. ​Only i and iv

Answer (Detailed Solution Below)

Option 2 : ​Only i, and either ii or iii
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Detailed Solution

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The least possible venn diagram is shown below,

F1 Railways  Priya  27 9 24 D6

Conclusions:

i. Some feet are yards True (All meters are feet, some feet are inches and all inches are yards implies that some feet are yards).

ii. Some meters are yards False (All meters are feet, some feet are inches and all inches are yards implies that some meters can be yards. This is possible but not definite).

iii. No meters are yards → False (All meters are feet, some feet are inches and all inches are yards implies that it is possible that no meters are yards but it is not definite).

iv. All meters are inches → False (All meters are feet, some feet are inches and all inches are yards implies that all meters can be inches. This is possible but not definite).

⇒ Here, we can see that Conclusion (ii) and (iii) forms complementary pair.

Hence, the correct answer is "​Only i, and either ii or iii".

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