CAT Exam Model Paper 1 with solutions for free online practice

Section II Data Interpretation and Logical Reasoning

Directions (Q. Nos. 35-38) Nine horses participated in a horse tournament. Five races were held in this tournament. The winner of a race gets 5 points,

2^{\nd}

gets 3, and the

3^{\rd}

gets 1.
1. The table gives the points totally at the end of theraces.

Horse	A	B	C	D	E	F	G	H	I
Points	5	5	8	2	5	6	4	10	0

One race is held between five horses. The first race is held among the first 5 horses from the left in the above table. In the next race, out of these horses, A drops out of the race and a new horse F enters into the race. In the next race, B drops out and G enters and so on. It is also given that H is the only horse that scored in 2 consecutive races.

Question : 35 of 100

Marks: +1, -0

What was the position of horse F in race 4?

4 $^{\th}$
2 $^{\nd }$
3 $^{\rd }$
Cannot be determined

Validate

Solution:

(b) The position of horse F in race 4 was 2

^{ \nd}

Solutions(Q. Nos. 35-38)
The races were between:
Race 1 : A, B, C, D, E
Race 2 : B, C, D, E, F
Race 3 : C, D, E, F, G
Race 4 : D, E, F, G, H
Race 5 : E, F, G, H, I
The following deductions can be drawn:
A: Must have stood first in the first race since A has scored a total of 5 points and this is the only race he has participated in.
B: B must have stood outside the first three in the first race and first in the second race (this is the only way he could have scored 5 points in 2 races given the point scheme)
C: Since C has scored 8 points overall, he must have got 5 + 3 points. Further since we know that H is the only horse which has scored points in consecutive races, it is clear that C must have scored 3 points in the first race
(2

^{\nd}

position) and 5 points in the third race (first position)
D: 2 points without scoring in consecutive races (which is exclusive for H) means that D must have stood third in two races and must have been outside the top three in the remaining 2 races he participates in,
I: Outside the top three in the last race (only race he participates in)
H: 10 points in 2 races, means that H must have won both races 4 and 5.
At this point of our analysis we know the winner of each race.
Race 1 : A, Race 2 : B, Race 3 : C, Race 4 : H and Race 5 : H
As far as the second position is concerned, we are just aware of the first race (C stood second)
G: 4 points in 3 races, means outside the top three in the fourth face and third once and second once in races 3 and 5 (but not respectively—rather in random order)
F: 6 points can only happen with two 3’s and two 0’s. Means second position in any two non consecutive races (i.e. Either

2^{\nd}

and

4^\th

2^{\nd}

and

5^\th

3^{\rd}

and

5^\th

) And two races outside the top three (i.e. Either 3

^{\rd}

and 5

^\th

or 3

^{\rd}

and 4

^\th

or 2

^{\nd}

and 4

^\th

races).
E: 5 points in 5 races, 3 points once and 1 point twice (i.e. one second position and two third positions) Also, these scores must have occurred in the 1

^{\st}

^{\rd}

and 5

^{\th}

races. (again because of no consecutive scores for anybody except H). Also, since the second position in the first race goes to C, E must have got the third position in that race.
This gives us the following table:

RACE	First	Second	Third	Outside the top three
1-ABCDE	A	C	E	B, D
2-BCDEF	B	F	D	C, E
3-CDEFG	C	G/E	E/G	D, F
4-DEFGH	H	F	D	G, E
5-EFGHI	H	E/G	G/E	I, F

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