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CAT Sample Questions: ›› Analytical Reasoning

# Analytical Section : Analytical Reasoning

60. There is a small spa where one or more of the masseurs have to perform evening duty every day. These masseurs are Allan, David and Tony. None of them can be assigned the evening duty for two or more days in a row. In case, David and Tony share their evening duty twice over a period of six days then, which among the following statements would be true?

1. Allan is on evening duty alone on the first of the six days.
2. Allan is on evening duty alone on the second of the six days.
3. David and Tony share their evening spa duty on the second of the six days.
4. David and Tony share their evening spa duty on the fourth of the six days.
5. Allan is on evening duty alone on the third of the six days.

61. In case Allan and David share their evening duty on Monday of some week, and if David and Tony share their duty on Thursday of the same week, then, which of the following options will hold true for that week?

1. David alone is on evening duty in the spa on Tuesday.
2. Tony alone is on evening duty in the spa on Wednesday.
3. Allan and Tony share their duties on Wednesday.
4. Allan alone is on duty in the spa on Tuesday whereas David alone is on morning duty in the spa on Wednesday.
5. Tony alone is on morning duty in the spa on Tuesday, whereas, Allan alone is on morning duty in the spa on Wednesday.

62. Taking into consideration a period of four days, which among the following options could be true?

1. David did twice as many evening massage sessions as Tony did.
2. Allan did three times as many massage sessions as done by David.
3. Two of the masseurs were on evening duty in the spa on four out of the six days
4. All the three masseurs were on evening duty in the spa on one of the six days.
5. Both Allan and David did thrice as many massage sessions as done by Tony.

Question 63

In a particular code, the alphabets from A to J inclusive are each represented by the whole numbers. The same whole number is used to represent the letter of the alphabet, each time the alphabet occurs in the code. Following this coding scheme how will you code the word 'CABBAGE'?

1. 2011064
2. 4601102
3. 1102460
4. 3122175
5. 2100146

Explanation:

Let us first make a table showing the alphabets and the numbers used to represent those alphabets.

 A B C D E F G H I J 0 1 2 3 4 5 6 7 8 9

From this table we can find out the numeric code for the alphabetic code word 'CABBAGE' as 2011064. Hence, the answer is option a.

Question 64

The manager wants to send his password to his personal assistant for some urgent work to get done. This password is numeric in nature. For sending the password the manager makes use of alphabets for security reasons. The numbers from 1 to 9 inclusive are represented by the alphabets A to J, the letter always representing the same digit. If the password is '45148514', then what will be its encoded form?

3. DEFEATED
4. DEHEATED
5. None of the above

Explanation:

 A B C D E F G H I 1 2 3 4 5 6 7 8 9

From the table constructed, we can find out the relation between the numbers and the alphabets and hence, the encoded password will be DEADHEAD i.e. option b.

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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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