Directions
for Questions 1 and 2:
Five horses, Red, White, Grey,
Black and Spotted participated in a race. As per the rules of the race, the
persons betting on the winning horse get four times the bet amount and those
betting on the horse that came in second get thrice the bet amount. Moreover,
the bet amount is returned to those betting on the horse that came in third,
and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 Rs. 1000 on Red,
White and Black horses respectively and ends up with no profit and no loss.
1. Which of the following cannot
be true?
(1) At least two horses finished
before Spotted
(2) Red finished last
(3) There were three horses
between Black and Spotted
(4) There were three horses
between White and Red
(5) Grey came in second
2.
Suppose, in addition, it is known that Grey came in fourth. Then which
of the following cannot be true?
(1) Spotted came in first
(2) Red finished last
(3) White came in second
(4) Black came in second
(5) There was one horse between Black
and White
Solution follows here:
“Raju bets Rs. 3000, Rs. 2000 Rs. 1000 on Red, White
and Black horses respectively and ends up with no profit and no loss”
The possibilities to suite this condition:
Possibility

Red

White

Black

Gray

Spotted

1

4 or 5

3

1

2 or 4 or 5

2 or 4 or 5

2

4 or 5

2

4 or 5

1 or 3

1 or 3

3

3

4 or 5

2

1 or 4 or 5

1 or 4 or 5

Q1) we check the answer options one by one:
(1)
At least two horses finished before Spotted
This may be true for all the three possibilities
(2)
Red finished last
This may be true for possibilities 1 and 2
(3)
There were three horses between Black and
Spotted
This may be true for all the three possibilities
(4)
There were three horses between White and Red
This is not true for all possibilities
(5)
Grey came in second
This may be true for possibility1
Answer (4)
Q2) we check
the answer options one by one:
In addition, it is
known that Grey came in fourth. By applying this condition to the above table, possibility2
is ruled out and the remaining two possibilities are depicted here:
Possibility

Red

White

Black

Gray

Spotted

1

5

3

1

4

2

3

3

5

2

4

1

(1)
Spotted came in first
This is true for possibility3
(2)
Red finished last
This is true for possibility1
(3)
White came in second
This is not true for all possibilities
(4)
Black came in second
This is true for possibility3
(5)
There
was one horse between Black and White
This is true for possibility1
Answer (3)
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