SECTION A : ANALYTICAL REASONING & DECISION MAKING

Directions (Question No. 1 – 21): Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answers each question and blacken the corresponding space on your answer sheet.

Question No. 5-8: During a four-week period, each one of seven previously unadvertised products – G, H, J, K, L, M and O – will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. None of the other products gets repeated in any pair. Further, the following constraints must be observed:

J is not advertised during a given week unless H is advertised during the immediately preceding week.

The product that is advertised twice is advertised during week 4 but is not advertised during week 3.

G is not advertised during a given week unless either J or O is also advertised that week.

K is advertised during one of the first two weeks.

O is one of the products advertised during week 3.

5. Which one of the following could be the schedule of the advertisements?

(A) Week 1 : G, J; week 2 : K, L; week 3 : O, M; week 4 : H, L

(B) Week 1 : H, K ; week 2 : J, M; week 3 : O, L; week 4 : G, M

(C) Week 1 : K, M ; week 2 : H, J; week 3 : O, G ; week 4 : L, M

(D) Week 1 : H, L ; week 2 : J, M; week 3 : O, G; week 4: K, L

(E) Week 1 : H, K ; week 2 : J, G; week 3 : O, L; week 4 : M, K

Solution:

If is given that,

(1) H and J advertised during two consecutive weeks and H advertised before J.

(2) The product which is advertised twice, was advertised during week 4 and during week 1 or week 2.

(3) G is advertised during the same week as either J or O.

(4) K is advertised during one of week 1 or week 2.

(5) O advertised during week 3.

Let us go by the options:

Option (A): It violates condition (1).

Options (B): It violates condition (3).

Options (C): It violates condition (1).

Options (D): It violates condition (4).

Options (E): It does not violate any condition and hence could be the schedule of the advertisements. Choice (E)

6. If L is the product that is advertised during two of the week, which one of the following is a product that MUST be advertised during one of the weeks in which L is advertised?

(A) M (B) G (C) H (D) J (E) K

Solution:

If is given that,

(1) H and J advertised during two consecutive weeks and H advertised before J.

(2) The product which is advertised twice, was advertised during week 4 and during week 1 or week 2.

(3) G is advertised during the same week as either J or O.

(4) K is advertised during one of week 1 or week 2.

(5) O advertised during week 3.

Given, L is advertised twice,

from (2), L will be advertised during week 4 and either during week 1 or during week 2.

From (4), K cannot be advertised during week 4.

From (1), H cannot be advertised during week 4.

From (1) and (5), J cannot be advertised during week 4.

From (3), G cannot be advertised during week 4.

\ M must be advertised during week 4 during which L is also advertised. Choice (A)

7. Which one of the following is product that could be advertised in any of the four weeks?

(A) H (B) J (C) K (D) L (E) O

Solution:

If is given that,

(1) H and J advertised during two consecutive weeks and H advertised before J.

(2) The product which is advertised twice, was advertised during week 4 and during week 1 or week 2.

(3) G is advertised during the same week as either J or O.

(4) K is advertised during one of week 1 or week 2.

(5) O advertised during week 3.

From (1), H cannot be advertised during week 4.

As G can be paired with only either J or O and none of G, J and O can be advertised twice [From (2)], so none of G, J and O can be advertised during week 4.

From (4), K cannot be advertised during week 3. Only L can be advertised during any of the given four weeks. Choice (D)

8. Which one of the following is a pair of products that could be advertised during the same week?

(A) M and O (B) G and H (C) H and J (D) H and O (E) K and O

Solution:

If is given that,

(1) H and J advertised during two consecutive weeks and H advertised before J.

(2) The product which is advertised twice, was advertised during week 4 and during week 1 or week 2.

(3) G is advertised during the same week as either J or O.

(4) K is advertised during one of week 1 or week 2.

(5) O advertised during week 3.

Choice (A): The possible arrangement is:

Week 1 – K, H

2 – G, J

3 – M, O

4 – L, H

Choice (B): violates (3)

Choice (C): violates (1)

Choice (D): As per (5) H and O are advertised during week 3.

Þ J is advertised during week 4.

As per (3), G is advertised in week 4. But neither G nor J can be repeated in week 1 or 2. Choice (A)