## Logical Reasoning & Analytical Ability

**Directions for the following 3 (three) items:**

Consider the given information and answer the **three (3) items** that follow.

Four friends P, Q, R and S, each having 100 gold coins at the start, begin to play a game having 10 rounds. At the end of every round, one of them loses and, as result, has to give away 5 gold coins each to the other three. The first three rounds were lost by P followed by lose of a round by S. Next round was lost by R followed by lose of 2 successive rounds by Q. P lost the next round followed by a lose by S. The last round was lost by R.

**#1. At the end of the game, who was left with the least number of coins?**

(a) P

(b) Q

(c) R

(d) S

**#2. At the end of the fifth round, who had the highest number of coins?**

(a) P

(b) Q

(c) R

(d) S

**#3. At the end of the ninth round, who of the following were left with the same number of coins?**

(a) P and S

(b) Q and R

(c) P and R

(d) Q and S

**#4. Examine the statements:**

1. All books are good.

2. All good books are read.

Which of the following logically follows if both the above statements are correct?

(a) Some books may not be read

(b) All books may not be good

(c) Some books are not read

(d) All books are read

**#5. A, B, C and D play four different games among Baseball, Cricket, Kabaddi and Volleyball. A does not play Baseball or Cricket. B does not play Kabaddi or Volleyball. C plays Volleyball and D plays either Baseball or Volleyball. Who plays cricket?**

(a) A

(b) B

(c) C

(d) D

**Directions for the following 5 (five) items :**

Consider the given information and answer the five (5) items that follow.

J, K, L, M and N are five boys in a class. They are ranked in order of heights – from the tallest to the shortest – and in order of cleverness – from the cleverest to the dullest.

K is taller than N, but not as clever as J and L, whereas M is the cleverest of all but shorter than J. While L is shorter than M but taller than K, L is not as clever as J. No two boys got the same ranks in any of these parameters.

**#6. Who is the third in the order of heights?**

(a) J

(b) N

(c) K

(d) L

**#7. If N is not the last in at least one of the two comparisons, who of the following is the dullest of all the five?**

(a) K

(b) L

(c) M

(d) J

**#8. If L is the third in order of cleverness, who is the dullest of all?**

(a) L or M

(b) J or K

(c) M or N

(d) N or K

**#9. Who among the following is cleverer as well as taller than K?**

(a) L and J

(b) N

(c) L and N

(d) J, L and M

**#10. How many boys are definitely shorter than K?**

(a) 1

(b) 2

(c) 3

(d) 0

## Solutions:

**Ans 1 – 3 :**

**Ans 1 (a) :**

**Ans 2 (b) :**

**Ans 3 (d) :**

**Ans 4: (d)**All books are good. All good books are read. This simply means all books are read.

**Ans 5 (b) :**A does not play Baseball or Cricket.

B does not play Kabaddi or Volleyball.

C plays Volleyball.

D plays Baseball or Volleball.

From above we can conclude, Cricket is not played by A or C or D. Hence B plays cricket.

**Ans 6 to 10:**

**Conditions for Heights**

K > N

J > M

M > L > K

Using the above three conditions we got the final order of heights as under:

J > M > L > K > N

**Conditions for ‘Cleverness’**

J and L > K

M is cleverest

J > L

Using the above three conditions we know that: M > J > L > K

Now depending upon position of N we can have following situations:

(1) M > N > J > L > K

(2) M > J > N > L > K

(3) M > J > L >N > K

(4) M > J > L > K > N

**Ans 6 (d) :**Third in order of height is L.

**Ans 7 (a) :**N is not the last in at least one of the comparison. But we know for sure that N is last in heights, that means N is not the last in cleverness. That means out of four possible conditions for cleverness that we worked out, (4) is not possible and looking at other three we know that K is dullest.

**Ans 8 (d) :**If L is third in cleverness then possible situations are (3) and (4) and hence either N or K is dullest.

**Ans 9 (d) :**Taller than K = J, M and L and clever than K = J, L and M (will not consider N of (4) case because he is shorter than K)

**Ans 10 (a) : **Only N is shorter than K.

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