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CAT Sample Questions: ›› Analytical Reasoning

# Analytical Section : Analytical Reasoning

Question 21 and 22

5 dogs, Brown, White, Grey, Black and Spotted participated in a race. As per the rules of the race, the people betting on the winning dog get four times the bet amount and those betting on the dog that came in second get thrice the bet amount. Moreover, the bet amount is to be returned to those betting on the horse that came in third, and the rest lose the bet amount. Raven bets Rs.6000, Rs. 4000 and Rs. 2000 on Brown, White and Black dogs respectively and ends up gaining no profit and no loss.

21. Which of the following cannot be true?

1. At least 2 dogs finished before spotted.
2. Brown dog finished last
3. There were 3 dogs between Black and Spotted..
4. There were 3 dogss between White and Brown.
5. Grey dog came in second.

Explanation:

Let us first understand the constraint of the problem, Raven betted Rs. 6000, 4000 and 2000 and ended up gaining neither profit nor loss. This means that, he betted total amount of 12000 and got back Rs.12000.

Now, let us observe how the money is returned.

Winning dog - 4 times the bet amount
Dog coming second- 3 times the bet amount
Dog coming third- The bet amount is returned
Dog coming last- The bet amount is lost
So if Raven got back 12000, then let us see what the possibilities for this result are:

 Position of Dogs Amount Betted Amount Received Situation Number 1 6000 24000 I. 1 4000 16000 II. 1 2000 8000 III. 2 6000 18000 IV. 2 4000 12000 V. 2 2000 6000 VI. 3 6000 6000 VII. 3 4000 4000 VIII. 3 2000 2000 IX.

Since Raven received Rs.12000 we need to observe from the above possibilities which combinations can give us Rs. 12000.

Possibilities (I), (II) and (IV) give more than 12000 so these cannot be the possibilities.

Combination (III) and (VIII), (V); (VI) and (VII); result in amount 12000 and there are no other possibilities exists.

Looking at the table above we can say that (a) can be true

(b) can be true as Brown dog can be the last dog in each of the 3 possibilities.
(c) Can be true.
(d) Cannot be true as in none of the options White is first and Brown is last of all dogs.

Hence option (d) is the answer. 22. Suppose, in addition to this data, it is known that Grey dog came in fourth, then which of the following statements cannot be true?

1. Spotted came in first.
2. Brown finished last.
3. White came in second.
4. Black came in second.
5. There was one dog between Black and White.

Explanation:

If Grey came in 4th, then we get possible rank of dogs as
I II III IV V
Black Spotted White Grey Brown - Possible
Brown White Grey Black Spotted - Not possible
Spotted Black Brown Grey White - Possible
So we have only 2 rank orders possible for the given condition. Therefore,
Option (a) can be true, since Spotted can be in either first or second position; (b) can be true as Brown is last in one of the possibilities; (c) cannot be true as White is either third or fifth. Hence correct option is (c).

Question 3 to 5

Read the following situation carefully and answer the questions based on that.

In a group of five persons namely Amy, Bentley, Camilla, David and Eva:

• Amy and Camilla are intelligent in English and Reasoning.
• Bentley and Camilla are intelligent in English and General Knowledge.
• Eva and David are intelligent in Arithmetic and Grammar.
• Eva is intelligent in Grammar, Reasoning and Arithmetic.
• Eva and David are intelligent in Arithmetic and Grammar.
• Eva is intelligent in Grammar, Reasoning and Arithmetic.
• Bentley and David are intelligent in Arithmetic and General Knowledge.

23. Who is intelligent in English, Arithmetic and General Knowledge?

1. Amy
2. Bentley
3. Camilla
4. David
5. Eva

24. Who is intelligent in English and Reasoning but not in General Knowledge?

1. David
2. Camilla
3. Amy
4. Eva
5. Bentley

25. Who is intelligent in Arithmetic, General Knowledge and Grammar?

1. Eva
2. Bentley
3. Amy
4. Camilla
5. David

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CAT Analytical Reasoning Question Number : 1-5 | 6-10 | 11-15 | 16-20 | 21-25 | 26-30 | 31-35 | 36-40 | 41-45 | 46-50 | 51-55 |56-59 | 60-64 | 65-69 | 70-74 | 75-79 | 80-84
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