Matrix Arrangement for Cat Sheet 2
- Jul 10
- 5 min read
Practicse Question
Matrix Arrangement CAT Case 1
Direction for question 1-4: Answer the following question based on the information given below.
Following is a spread-sheet with 7 rows (numbered from 1 to 7 from top to bottom as shown) and 6 columns (columns are identified with letters of English alphabet from left to right in alphabetical order). Each of the 42 cells has to be filled with a single-digit number (including 0) so that the summation of these 42 single-digit numbers becomes 100. Among 42 cells, 30 have been filled and 12 are empty. The empty cells should be filled with either 0 or 1, only.
The additional information which is known about the spread - sheet are as follows:
Summation of the six numbers in the 4th row is 2 more than the summation of the six numbers in the 6th row.
Summation of the six numbers in the 4th row is 5 less than the summation of the six numbers in the 1st row.
Summation of the seven numbers in the 1st column (marked with ‘A’) is equal to summation of the seven numbers in the 4th column (marked with ‘D’).
Summation of the seven numbers in the 2nd column (marked with ‘B’) is 8 more than the summation of the six numbers in the 2nd row.
Summation of the six numbers in the 2nd row is 1 more than the summation of the six numbers in the 3rd row.
Note: columns are counted from left to right and rows are counted from top to bottom.
Q.1 What is the number written in the cell E-3 (i.e., in the 3rd row of column E)?
a.0
b.1
c.2
d.3
Q.2 Which row has the maximum number of ‘0’ in it?
a.1st row
b.2nd row
c.3rd row
d.4th row
Q.3 Which of the following is the correct order of the row numbers in decreasing order of their row summation?
a.7, 1, 2, 3, 4, 6, 5
b.7, 1, 3, 2, 4, 6, 5
c.7, 1, 3, 2, 6, 4, 5
d.7, 3, 1, 2, 6, 4, 5
Q.4 How many values of ‘n’, is the summation of the six numbers in nth row more than the summation of seven numbers in nth column (n can take any value from 1 to 6)?
a.4
b.3
c.2
d.1
Matrix Arragement for CAT Case 2
Direction for question 5-8: Answer the questions on the basis of the information given below.
Four friends A, B, C and D played a game of Poker. Initially, the number of chips that they had was in the 60s, 40s, 50s and 70s respectively, such that each one of them had a prime number of chips. They played 6 rounds of games such that the chips were only transferred among them. It is also known that:
A lost 10 chips in each round and still finally ended up with a prime number of chips.
The number of chips with B in each round formed an increasing arithmetic progression.
The chips with D were all the possible numbers between 71 and 77 (both inclusive), but not in any specific order. No number in this range was excluded.
B ended up with the number of chips that A had at the start of the game.
The number of chips with D were even after rounds 1, 3 and 5 while the numbers were odd after rounds 2, 4 and 6.
The number of chips with C after rounds 1 and 4 was a perfect square .
Both C and D had 74 chips at the end of round 3.
Everyone except D ended up with a prime number of chips.
Q.5 What was the total number of chips used in the game?
a.234
b.240
c.248
d.256
Q.6 At the end of how many rounds did C have more chips than everyone else?
a.3
b.2
c.1
d.0
Q.7 After which round was the difference in the number of chips with A and B the least?
a.Round 4
b.Round 3
c.Round 2
d.Round 1
Q.8 At the end of which round did D have 75 chips?
a.Round 4
b.Round 3
c.Round 6
d.Round 2
Matrix Arrangement for CAT Case 3
Direction for questions 9-12: Answer the questions on the basis of the information given below.
Six persons, Amit, Kishore, Lalit, Hari, Gaurav and Ranjit, went to the gym on different days of a particular week, from Monday to Sunday. On any day, no person went to the gym more than once. The following graph provides the number of persons that went to the gym on each day of the week:
It is also known that
no person went to the gym for more than four days.
each of Gaurav and Hari went to the gym only twice.
Ranjit went to the gym on neither Saturday nor Friday.
Kishore did not go to the gym on any two consecutive days.
Q.9 On which of the following days did Lalit not go to the gym?
a.Tuesday
b.Sunday
c.Friday
d.Saturday
Q.10 What is the maximum number of consecutive days that any person went to the gym?
a.1
b.3
c.4
d.No person went on any two consecutive days.
Q.11 On how many days did both Kishore and Ranjit go to the gym?
a.0
b.1
c.2
d.3
Q.12 Which of the following statements is sufficient to determine all the persons who went to the gym on Tuesday?
a.Hari and Ranjit went to the gym together on at most one day.
b.Lalit and Hari went to the gym together on exactly two days.
c.Kishore and Gaurav did not go the gym together on any day.
d.Gaurav and Ranjith went to the gym together on at least one day.
Matrix Arrangement for CAT Case 4
Direction for qeustion 13-16: Answer the questions on the basis of the information given below.
Five students–A, B, C, D and E–wrote an objective type test paper in which there were four questions – Q1, Q2, Q3 and Q4 – with four possible answer choices – 1, 2, 3 and 4 – for each question. Only one choice is correct for each question and the correct answer choice for no two questions is the same. One mark is awarded for every correct answer and there is no negative marking for wrong answers. Each student attempted all the questions and each got a different score. Further, the following information is known:
A, B, C and E marked choice 3 for Q2, whereas A, B, D and E marked choice 2 for Q4.
D got the lowest score and B's score was less than that of E.
The number of questions for which both C and E marked the same answer choice is not more than two.
B, D and E marked choice 1 for Q3, and A marked choice 4 for Q1.
Between Q1 and Q2, B marked choice 3 for one and choice 1 for the other, not necessarily in that order.
D did not mark the same choice for any two questions.
Q.13 Who among the given students got three marks?
a.E
b.A
c.B
d.Cannot be determined
Q.14 Which answer choice did D mark for Q1?
a.3
b.4
c.2
d.Cannot be determined
Q.15 Who among the following students marked the wrong answer choice for Q1?
a.A
b.E
c.B
d.C
Q.16 How many of the five students marked four distinct answer choices for the four questions?
a.0
b.1
c.2
d.3
Answers For Matrix Arrangement
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
B | B | A | C | B | A | C | D | B | B |
11 | 12 | 13 | 14 | 15 | 16 | ||||
C | C | B | A | C | D |
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