Analytical Reasoning MCQ Set 16

Correct Answer: A

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

No racer is between T and V. since T finishes immediately before V

Correct Answer: B

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

Since, before the disqualification of Racer U, Racer S finished in third place, Racer S is awarded a second place by the judges.

Correct Answer: C

Explanation:

The four seating conditions listed allow us to make the following inferences:

• Inference 1 ---- because of conditions 2 and 4, we infer that B, F, and H, being engineers as well as chemists, must not sit next to the other
• Inference 2 ---- because of condition 3 and 4 we infer that A, C, D and G, being engineers as well as physicists must not sit next to the other.
• Inference 3 ---- conditions 1, 2 and 3 allow us to infer that there are no restrictions on where E can sit.

Choices A, B, D, and E are inconsistent with inference 2 since in each of these at least two of the scientists A, C, D and G are seated next to each other. Choice C satisfies inferences 1 and 2.

Correct Answer: E

Explanation:

The four seating conditions listed allow us to make the following inferences:

• Inference 1 ---- because of conditions 2 and 4, we infer that B, F, and H, being engineers as well as chemists, must not sit next to the other
• Inference 2 ---- because of condition 3 and 4 we infer that A, C, D and G, being engineers as well as physicists must not sit next to the other.
• Inference 3 ---- conditions 1, 2 and 3 allow us to infer that there are no restrictions on where E can sit.

Inference 2 tells us that A, C and G are the only scientists that cannot sit next to D.

Correct Answer: C

Explanation:

The four seating conditions listed allow us to make the following inferences:

• Inference 1 ---- because of conditions 2 and 4, we infer that B, F, and H, being engineers as well as chemists, must not sit next to the other
• Inference 2 ---- because of condition 3 and 4 we infer that A, C, D and G, being engineers as well as physicists must not sit next to the other.
• Inference 3 ---- conditions 1, 2 and 3 allow us to infer that there are no restrictions on where E can sit.

From inference 2, it is clear that no combination that involves either C, D or G is possible. H and E may each sit next to A.

Correct Answer: D

Explanation:

1. • Floor 6: None
   • Floor 5:(M) O
   • Floor 4:(O) M
   • Floor 3: N
   • Floor 2: None
   • Floor 1: L
2. • Floor 6: (M) O
   • Floor 5:(O) M
   • Floor 4: None
   • Floor 3: N
   • Floor 2: None
   • Floor 1: L
3. • Floor 6: (M) O
   • Floor 5:(O) M
   • Floor 4: N
   • Floor 3: None
   • Floor 2: L
   • Floor 1: None
4. • Floor 6: None
   • Floor 5: N
   • Floor 4: None
   • Floor 3: N
   • Floor 2: (M) O
   • Floor 1: (O) M
5. • Floor 6: N
   • Floor 5: None
   • Floor 4: L
   • Floor 3: (M) O
   • Floor 2: (O) M
   • Floor 1: None
6. • Floor 6: N
   • Floor 5: None
   • Floor 4: L
   • Floor 3: None
   • Floor 2: (M) O
   • Floor 1: (O) M

By looking at configuration 1 and 2, it can be seen that only Statement D is true