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English and Logical Reasoning Prep Guide
Exam
English and Logical Reasoning Prep Guide
Subject
Logical Reasoning
Chapter
Mathematical Operations

English and Logical Reasoning Prep Guide · Logical Reasoning · Mathematical Operations

If L>M, M=N and D < M , then which of the following relations will...

If L>M,M=NL>M, M=N and D<MD < M, then which of the following relations will be false?

Options

  1. A(L\mathrm{L}>D\mathrm{D})
  2. B(M\mathrm{M}< L\mathrm{L})
  3. C(L\mathrm{L}>N\mathrm{N})
  4. D(N\mathrm{N}< D\mathrm{D})

Correct answer

D. (N\mathrm{N}< D\mathrm{D})

Step-by-step solution

Given: L>M,M=NL>M, M=N and D<MD < M. Option 1) (\mathrm{L}>D→\mathrm{D} \rightarrow) True. (As (L\mathrm{L}>M\mathrm{M}) and M D definitely holds.) Option 2) (M < L \rightarrow) True. (L>ML>M so the converse that is L>ML>M definitely holds.) Option 3) L>N→L>N → True. (L>M,M=N(L>M, M=N, this implies that L>NL>N.) Option 4) (N < D \rightarrow) False. (M=NM=N and D<MD < M, this implies that N>DN>D.) Therefore, only the fourth option is false. Hence, the correct answer is "Option 4".
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