× NUST Downloads NUST UG Admissions Enter to NUST NUST Admission Policy NUST Merit Criteria `International Applicants NUST DAE Criteria NET Syllabus and Pattern NUST Eligibility Criteria FA/FSc - Apply which Program? Non FA/FSc - Apply which Program? NUST Admission through SAT/ACT NUST Admission through SAT

MCQ Analytical Reasoning - Placement Arrangements

The CAT Online Free Test Prep MCQs Analytical Reasoning - Placement Arrangements

Analytical Reasoning: Placement Arrangements

Paragraph

Four couples—J, K, L, M—are standing in a line. Their positions are numbered consecutively from 1 to 8, and each person is holding hands with the persons on either side of him or her.

J and J are holding hands.

K and K are not holding hands.

L and L are holding hands.

One of the Ls is at one end of the line, and one of the Ms is at the other end.

Question:

If M is at position 2 and K is at position 3, then a J must be at position
Option A:      1
Option B:      4
Option C:      6
Option D:      7
Option E:      8
  A     B     C     D     E  
Show/Hide Answer and Explanation

Correct Answer: B

Explanation Video

Explanation
The conditions “J and J are holding hands” and “L and L are holding hands” are naturally symbolized as JJ and LL, respectively. The condition “K and K are not holding hands” can be symbolized as K...K. [The symbol ~(KK) would also work well, but the symbol K...K is more descriptive because it shows the space between the Ks.] The condition “One of the Ls is at one end of the line, and one of the Ms is at the other end” can be symbolized as L=1st/last and M=1st/last. The diagram will consist of eight dashed lines numbered 1 through 8, from left to right:

JJ

LL

K ... K

L = First / Last

M = First / Last

1to8line -27320368

No significant conditions can be derived from the given information, and no conditions can be placed on the diagram. So we attack the questions.

To start, place M and K at positions 2 and 3, respectively:

1arrangementq -95097872

From the conditions LL and L = 1st/last, we see that the Ls must be in positions 7 and 8, since M is in position 2:

12arrangementq -35774416

Now the condition M = 1st / last forces the other M into position 1:

13arrangementq -18478410

This yields two possible positions for the condition JJ:

14arrangementq -21383682

Diagram II is impossible, though, because it forces the Ks next to each other, violating the condition K...K. Thus Diagram I, which has the Js in positions 4 and 5, is uniquely determined by the conditions. The answer is (B).
Prev       1 of 10       Next
Back to Section Page

How to Solve Placement Arrangements

For Placement Arrangements question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.