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1302 - Analytical Reasoning

Analytical Reasoning MCQ No. : 48254

Six racers— R, S, T, U, V, W —compete in a race. There are not ties. The outcomes are as follows:

  1. S does not win
  2. Only two racers separate V and U
  3. R is behind U and V
  4. S is ahead of V, with one racer intervening
  5. W is ahead of U
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Who is fifth?

  1. R
  2. S
  3. T
  4. U
  5. V

Correct Answer: E

Explanation:

Let us endeavor to write the letters representing the racers in order of finish—first place being the first letter on the left. Let a star represent an unknown number of racers.

  • For example, * S *
  • Let a lower line represent one unknown racer.
  • For example,---S---

Now let us proceed to get the correct order of finish by referring to the information listed under outcomes Outcome 1 tells us that S cannot be in first place.

  • Therefore, * S *
  • Outcome 2 says either: U ---- ----V or V ---- ----U
  • Outcome 3 says both: U * R and V * R
  • Outcome 4 yields: S----V

Now consider again outcomes 1,2,3,4 collectively and then proceed step-by-step

  • Step 1: * S *
  • Step 2 : U ---- ----V or V ---- ----U
  • Step 3: U ---- ----V * R or V ---- ----U *R
  • Step 4: WUS ---- VR
  • Step 5: WUSTVR which is the complete order of finish

Racer V places fifth

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