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37.
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38.
Magic Box :
5 15 1 16 10 4 8 9 11 6 12 2 4 3 13 7
Cut the square given above into four pieces along the lines and rearrange in such a manner that sum of all rows, columns and diagonals is equal to 34. One of the pieces, comprising 1 and 8, is shown in the diagram given below.1 8
How many numbers would be there in the largest piece?
(A) 5
(B) 10
(C) 6
(D) 9
(E) 8
asked in XAT
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39.
There are five sets of digits - Set A, Set B, Set C, Set D and Set E as shown in given diagram. Set A contains one digit, Set B contains two digits, Set C contains three digits, Set D contains two digits and Set E contains one digit. Rearrange the digits, across the sets such that the number formed out of digits of Set C is multiple of the numbers formed from digits in the sets on either side. For example; in the given diagram, Set C is a multiple of digits in Set A and Set B but not of Set D and Set E.
Set A Set B Set C Set D Set E 7 28 196 34 5
[1] What is the minimum number of rearrangements required to arrive at the solution? A rearrangement is defined as an exchange of positions between digits across two sets. For example: when 1 from set C is exchanged with 5 of set E, it is counted as one rearrangement.
(A) 2
(B) 5
(C) 8
(D) 3
(E) 7
[2] Which of the following pair of digits would occupy set A and E?
(A) 2 and 4
(B) 2 and 6
(C) 3 and 6
(D) 3 and 9
(E) 4 and 8asked in XAT
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40.
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41.
Professor Mukhopadhay works only on Mondays, Tuesdays, Wednesdays, Fridays, and Saturdays. She performs four different activities – Lecturing, Conducting quizzes, evaluating quizzes and working on consultancy projects. Each working day she performs exactly one activity in the morning and exactly one activity in the afternoon. During each week her work schedule MUST satisfy the following restrictions:
1). She conducts quizzes on exactly three mornings.
2). If she conducts quizzes on Monday, she does not conduct a quiz on Tuesday.
3). She lectures in the afternoon on exactly two consecutive calendar days.
4). She evaluates quizzes on exactly one morning and three afternoons.
5). She works on consultancy project on exactly one morning.
6). On Saturday, she neither lectures nor conducts quizzes.
[1] On Wednesdays, the professor could be scheduled to?
(A) Work on a consultancy project in the morning and conduct a quiz in the afternoon
(B) Lecture in the morning and evaluate quizzes in the afternoon.
(C) Conduct a quiz in the morning and lecture in the afternoon
(D) Conduct a quiz in the morning and work on consultancy project in the afternoon.
(E) Evaluate quizzes in the morning and evaluate quizzes in the afternoon.[2] Which of the following statements must be true?
(A) There is one day on which she evaluates quizzes both in the morning and in the afternoon.
(B) She works on the consultancy project on one of the days on which lectures.
(C) She works on consultancy project on one of the days on which she evaluates quizzes.
(D) She lectures on one of the days on which evaluates quizzes.
(E) She lectures on one of the days on which she conducts quiz.[3] If the Professor conducts a quiz on Tuesday, then her schedule for evaluating quizzes could be?
(A) Monday morning, Monday afternoon, Friday morning, Friday afternoon
(B) Monday morning, Friday afternoon, Saturday morning, Saturday afternoon
(C) Monday afternoon, Wednesday morning, Wednesday afternoon, Saturday afternoon
(D) Wednesday morning, Wednesday afternoon, Friday afternoon, Saturday afternoon
(E) Wednesday afternoon, Friday afternoon, Saturday morning, Saturday afternoon[4] Which one of the following must be a day on which professor lectures?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Friday
(E) Saturdayasked in XAT
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42.
In a game, "words" (meaningful or meaningless) consist of any combination of at least five letters of the English alphabets. A "sentence" consists of exactly six words and satisfies the following conditions:
The six words are written from left to right on a single line in alphabetical order. The sentence can start with any word, and successive word is formed by applying exactly one of three operations to the preceding word: delete one letter; add a letter; replace a one letter with another. At the most three of the six words can begin with the same letter. Except for the first word, each word is formed by a different operation used for the preceding word.
[1] Which one of the following could be a sentence in the word game?
(A) Bzaeak blaeak laeak paeak paea paean
(B) Crobek croeek roeek soeek sxoeek xoeek
(C) Doteam goleam golean olean omean omman
(D) Feted freted reted seted seteg aseteg
(E) Forod forol forols forpls orpls morpls[2] The last letter of the English alphabet that the first word of a sentence in the word game can begin with is
(A) t
(B) w
(C) x
(D) y
(E) z[3] If the first word in a sentence is “illicit” and the fourth word is “licit”, then the third word can be
(A) Implicit
(B) Explicit
(C) Enlist
(D) Inlist
(E) Elicit[4] If “clean” is the first word in a sentence and “learn” is another word in the sentence, then which one of the following is a complete and accurate list of the positions “learn” could occupy?
(A) Third
(B) Second, third, fourth
(C) Third, fourth
(D) Third, fourth, fifth
(E) Third, fourth, fifth, sixth
[5] If the first word in a sentence consists of five letters, then the maximum number of letters that the fifth word in the sentence could contain is
(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eightasked in XAT
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