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CAT Practice Test: September 29 - CAT MCQ


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30 Questions MCQ Test - CAT Practice Test: September 29

CAT Practice Test: September 29 for CAT 2024 is part of CAT preparation. The CAT Practice Test: September 29 questions and answers have been prepared according to the CAT exam syllabus.The CAT Practice Test: September 29 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CAT Practice Test: September 29 below.
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CAT Practice Test: September 29 - Question 1
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The number of squares in a board having 10 rows and 9 columns is

Detailed Solution for CAT Practice Test: September 29 - Question 1

Number of squares in a board having m rows and n columns (m ≥ n) = m × n + (m - 1) × (n - 1) + (m - 2) × (n - 2) ... (m - n + 1) × 1
Here, m = 10 and n = 9
Number of squares = 10 × 9 + 9 × 8 + 8 × 7 + 7 × 6 + 6 × 5 + 5 × 4 + 4 × 3 + 3 × 2 + 2 × 1
= 90 + 72 + 56 + 42 + 30 + 20 + 12 + 6 + 2 = 330

CAT Practice Test: September 29 - Question 2
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Two packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards, so that he does not get two cards of the same suit and same denominations is

Detailed Solution for CAT Practice Test: September 29 - Question 2

26 cards can be chosen out of 52 cards in 52C26 ways. There are two ways in which each card can be dealt, either from the first pack or from the second.
Total number of ways = 52C26 . 226

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CAT Practice Test: September 29 - Question 3
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In how many ways will a particular person be found among those six if six persons are to be selected out of ten?

Detailed Solution for CAT Practice Test: September 29 - Question 3

We require that the particular person is found in every group of 6 people out of a total of 10. As this person is common to all groups of 6, we will have to consider the number of ways of choosing the remaining 5 persons out of the other 9. This can be done in 9C5 ways = 126 ways.

CAT Practice Test: September 29 - Question 4
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A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?
Detailed Solution for CAT Practice Test: September 29 - Question 4

Odd digits: 1, 3, 5, 7, and 9
Even digits: 2, 4, 6, and 8
Number of ways to fill an odd place = 5
Number of ways to fill an even place = 4

Therefore,
Total number of cases = (5)4 × (4)3

CAT Practice Test: September 29 - Question 5
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Five boxes are numbered from 1 to 5. A ball is to be placed in each box and balls of three different colours Red, Blue and Green are available. After this, a code is generated as *****, where the first * represents the first letter of colour of the ball in that box, and so on so forth (e.g. RBBGR and RBBRG are two different codes). How many different codes will result?
Detailed Solution for CAT Practice Test: September 29 - Question 5

For every box, we have three different possibilities of colours.
Therefore, total number of possibilities = 3 × 3 × 3 × 3 × 3

CAT Practice Test: September 29 - Question 6
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If 10P5 × 4P3 = 6P5 × X × 2, then X is
Detailed Solution for CAT Practice Test: September 29 - Question 6

10P5 × 4P3 = 6P5 × X × 2
10 × 9 × 8 × 7 × 6 × 4 × 3 × 2 = 6 × 5 × 4 × 3 × 2 × X × 2
9 × 8 × 7 = X then X = 9P3

CAT Practice Test: September 29 - Question 7
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What is the difference between total number of arrangements when 10 members are arranged in a row and in a circle?
Detailed Solution for CAT Practice Test: September 29 - Question 7

Total number of arrangements when n members are arranged in a row = n!
Total number of arrangements when n members are arranged in a circle = (n - 1)!
Difference = n! - (n - 1)!
Difference = 10! - 9!

CAT Practice Test: September 29 - Question 8
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How many numbers lying between 600 and 700 can be formed with the digits 0-9, where 7 occurs at exactly one of the positions (repetition is allowed)?  
Detailed Solution for CAT Practice Test: September 29 - Question 8

Let 7 occur in the units place. So, the units digit can be placed in 1 way. The tens digit can be placed by the rest of 9 numbers. The hundreds digit can be placed by 6 only, i.e. one way.
As the numbers are between 600 and 700, number of ways = 1 × 9 × 1 = 9
Now, let 7 occur in the tens place. The units place can be filled by any of the numbers from 0-9 except 7.
The hundreds place can be filled in one way (by only 6). So, total 9 ways. 7 can't occur in the hundreds place.
∴ Total number of ways in which numbers can be formed = 9 + 9 = 18

CAT Practice Test: September 29 - Question 9
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Detailed Solution for CAT Practice Test: September 29 - Question 9

(75/35) x (49/25) x (jc/105) x (25/13) = 1 ⇒ x = 13

CAT Practice Test: September 29 - Question 10
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Which one of the following is true
Detailed Solution for CAT Practice Test: September 29 - Question 10

CAT Practice Test: September 29 - Question 11
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Detailed Solution for CAT Practice Test: September 29 - Question 11

CAT Practice Test: September 29 - Question 12
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Which one of the following is true
Detailed Solution for CAT Practice Test: September 29 - Question 12

CAT Practice Test: September 29 - Question 13
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log (x - 13) + 3 log 2 = log (3x + 1)
Detailed Solution for CAT Practice Test: September 29 - Question 13

CAT Practice Test: September 29 - Question 14
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Directions: A word and number arrangement machine, when given an input line of words and numbers, rearranges them following a particular rule in each step. The following is an example of input and rearrangement.

Input: jack 35 and 80 riya 45 play 70
Step 1: 35 jack and 80 riya 45 play 70
Step 2: 35 45 jack and 80 riya play 70
Step 3: 35 45 70 jack and 80 riya play
Step 4: 35 45 70 80 jack and riya play
Step 5: 35 45 70 80 riya jack and play
Step 6: 35 45 70 80 riya play jack and

Now, following the same rules, rearrange the given input of words and numbers, and answer the question given below.
Input: jack 88 sell 70 his 87 apple 90 tree

Q. Which of the following is Step 4?
Detailed Solution for CAT Practice Test: September 29 - Question 14

First all the numbers are arranged in ascending order, one by one, then once this is done, all the words are arranged in reverse alphabetical order one by one.

Input: jack 88 sell 70 his 87 apple 90 tree
Step 1: 70 jack 88 sell his 87 apple 90 tree
Step 2: 70 87 jack 88 sell his apple 90 tree
Step 3: 70 87 88 jack sell his apple 90 tree
Step 4: 70 87 88 90 jack sell his apple tree

CAT Practice Test: September 29 - Question 15
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Directions: A word and number arrangement machine, when given an input line of words and numbers, rearranges them following a particular rule in each step. The following is an example of input and rearrangement.

Input: jack 35 and 80 riya 45 play 70
Step 1: 35 jack and 80 riya 45 play 70
Step 2: 35 45 jack and 80 riya play 70
Step 3: 35 45 70 jack and 80 riya play
Step 4: 35 45 70 80 jack and riya play
Step 5: 35 45 70 80 riya jack and play
Step 6: 35 45 70 80 riya play jack and

Now, following the same rules, rearrange the given input of words and numbers, and answer the question given below.
Input: jack 88 sell 70 his 87 apple 90 tree

Q. Which step would give the following output?
70 87 88 90 jack sell his apple tree
Detailed Solution for CAT Practice Test: September 29 - Question 15

First all the numbers are arranged in ascending order, one by one, then once this is done, all the words are arranged in reverse alphabetical order one by one.

Input: jack 88 sell 70 his 87 apple 90 tree
Step 1: 70 jack 88 sell his 87 apple 90 tree
Step 2: 70 87 jack 88 sell his apple 90 tree
Step 3: 70 87 88 jack sell his apple 90 tree
Step 4: 70 87 88 90 jack sell his apple tree
Step 4 gives this output.

CAT Practice Test: September 29 - Question 16
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Directions: A word and number arrangement machine, when given an input line of words and numbers, rearranges them following a particular rule in each step. The following is an example of input and rearrangement.

Input: jack 35 and 80 riya 45 play 70
Step 1: 35 jack and 80 riya 45 play 70
Step 2: 35 45 jack and 80 riya play 70
Step 3: 35 45 70 jack and 80 riya play
Step 4: 35 45 70 80 jack and riya play
Step 5: 35 45 70 80 riya jack and play
Step 6: 35 45 70 80 riya play jack and

Now, following the same rules, rearrange the given input of words and numbers, and answer the question given below.
Input: jack 88 sell 70 his 87 apple 90 tree

Q. Which step would give the following output?
70 87 88 90 tree jack sell his apple
Detailed Solution for CAT Practice Test: September 29 - Question 16

First all the numbers are arranged in ascending order, one by one, then once this is done, all the words are arranged in reverse alphabetical order one by one.

Input: jack 88 sell 70 his 87 apple 90 tree
Step 1: 70 jack 88 sell his 87 apple 90 tree
Step 2: 70 87 jack 88 sell his apple 90 tree
Step 3: 70 87 88 jack sell his apple 90 tree
Step 4: 70 87 88 90 jack sell his apple tree
Step 5: 70 87 88 90 tree jack sell his apple
Step 5 gives this output.

CAT Practice Test: September 29 - Question 17
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Directions: Study the following information carefully and answer the question given below it.
A word and number arrangement machine, when given an input line of words and numbers, rearranges them following a particular rule in each step. The following is an illustration of an input and the rearrangement:

Input: past back 32 47 19 own fear 25
Step I: 19 past back 32 47 own fear 25
Step II: 19 past 25 back 32 47 own fear
Step III: 19 past 25 own back 32 47 fear
Step IV: 19 past 25 own 32 back 47 fear
Step V: 19 past 25 own 32 fear back 47
Step VI: 19 past 25 own 32 fear 47 back

Step VI is the last step.
As per the rules followed in the above steps, find out the appropriate step for the given input.

Input: 83 42 bench lower 13 upper floor 37
Q. Which of the following will be step III of the given input?
Detailed Solution for CAT Practice Test: September 29 - Question 17

On studying the input and steps, it is found that the numbers are written in ascending order while the words are written in reverse order of the English alphabet, alternately.

Input: 83 42 bench lower 13 upper floor 37
Step I: 13 83 42 bench lower upper floor 37
Step II: 13 upper 83 42 bench lower floor 37
Step III: 13 upper 37 83 42 bench lower floor

CAT Practice Test: September 29 - Question 18
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Directions: Study the following information carefully and answer the question given below it.
A word and number arrangement machine, when given an input line of words and numbers, rearranges them following a particular rule in each step. The following is an illustration of an input and the rearrangement:

Input: past back 32 47 19 own fear 25
Step I: 19 past back 32 47 own fear 25
Step II: 19 past 25 back 32 47 own fear
Step III: 19 past 25 own back 32 47 fear
Step IV: 19 past 25 own 32 back 47 fear
Step V: 19 past 25 own 32 fear back 47
Step VI: 19 past 25 own 32 fear 47 back

Step VI is the last step.
As per the rules followed in the above steps, find out the appropriate step for the given input.

Input: case over 12 36 49 long ago 42
Q. Which of the following steps will be the second-last?
Detailed Solution for CAT Practice Test: September 29 - Question 18

On studying the input and steps, it is found that the numbers are written in ascending order while the words are written in reverse order of the English alphabet in alternate order.

Input: case over 12 36 49 long ago 42
Step I: 12 case over 36 49 long ago 42
Step II: 12 over case 36 49 long ago 42
Step III: 12 over 36 case 49 long ago 42
Step IV: 12 over 36 long case 49 ago 42
Step V: 12 over 36 long 42 case 49 ago

Thus, step V is the last step and the second-last step is step IV.

CAT Practice Test: September 29 - Question 19
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In this type of questions, a statement is given followed by two courses of action numbered I and II. The candidate is required to grasp the statement, analyse the problem or policy it mentions and then decide which of the courses of action logically follows.

Statement: It is reported that though Vitamin E present in fresh fruits and vegetables is beneficial for human body, capsuled Vitamin E does not have the same effect on human body.

Courses of action:
I. The sale of capsuled Vitamin E should be banned.
II. People should be encouraged to take fresh fruits and vegetables to meet the body’s requirement of Vitamin E.
Detailed Solution for CAT Practice Test: September 29 - Question 19

The statement implies that capsuled Vitamin E does not function so effectively as natural Vitamin E. Since no negative effect of capsuled Vitamin E is mentioned, so I does not follow. Hence, only course II follows.

CAT Practice Test: September 29 - Question 20
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In this type of questions, a statement is given followed by two courses of action numbered I and II. The candidate is required to grasp the statement, analyse the problem or policy it mentions and then decide which of the courses of action logically follows.

Statement: Every year, at the beginning or at the end of the monsoons, we have some cases of conjunctivitis, but this year, it seems to be a major epidemic, witnessed after nearly four years.

Courses of action:
I. Precautionary measures should be taken after every four years to check this epidemic.
II. People should be advised to drink boiled water during rainy season.
Detailed Solution for CAT Practice Test: September 29 - Question 20

The disease occurs at the end of monsoons every year. So, precautionary measures every four years shall not help. The second course of action shall be a preventive measure. So, only course II follows

CAT Practice Test: September 29 - Question 21
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In a large group of people consisting of strangers, Samantha often seemed ____ and aloof, although among her friends and family she was quite _____. 
Detailed Solution for CAT Practice Test: September 29 - Question 21

The word "although" tells us that the sentence contains a contrast in its ideas, so the two parts of the sentence should contain opposite ideas. Reticent and convivial are opposites. 
Reticent: Quiet, reserved, not inclined to speak much.
Convivial: Sociable, friendly, enjoys socializing and being around others.

CAT Practice Test: September 29 - Question 22
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"The food in this hotel is no match to what we were served at late hours in Hotel Kohinoor " means _______________.
Detailed Solution for CAT Practice Test: September 29 - Question 22
  • From the given statement, it refers the meaning that the food provided in this hotel is not good and it didn't match with the food which we were eating in the Kohinoor hotel at the late hours.
  • So, the correct meaning of the given is "Hotel Kohinoor served us good quality food than what we get here".
CAT Practice Test: September 29 - Question 23
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The weather outside was extremely pleasant and hence we decided to _______________.
Detailed Solution for CAT Practice Test: September 29 - Question 23

The weather outside was extremely pleasant and hence we decided to enjoy a morning ride in the open.

CAT Practice Test: September 29 - Question 24
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Directions: Select the word that most closely defines the given word.

GLEAN
Detailed Solution for CAT Practice Test: September 29 - Question 24

The word 'glean' means 'to collect information in small amounts and often with difficulty.' 'To gather' also means 'to collect several things, often from different places or people.' So, option A is the correct answer.

CAT Practice Test: September 29 - Question 25
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Directions: Select the word that most closely defines the given word.

HOMAGE
Detailed Solution for CAT Practice Test: September 29 - Question 25

The word 'homage' means 'special honour or respect shown publicly.'
'Show respect' also means 'to show admiration for someone or something that you believe has good ideas or qualities.'
So, option B is the correct answer.

CAT Practice Test: September 29 - Question 26
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Directions: Select the word that most closely defines the given word.

IRK
Detailed Solution for CAT Practice Test: September 29 - Question 26

The word 'irk' means 'to irritate or annoy.'
'To annoy' also means 'to make someone a little angry; irritate.'
So, option D is the correct answer.

CAT Practice Test: September 29 - Question 27
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Directions: Select the word that most closely defines the given word.

INCITE
Detailed Solution for CAT Practice Test: September 29 - Question 27

The word 'incite' means 'urge or persuade someone to do something'. 'Stimulate' means 'to encourage or arouse interest or enthusiasm in'. Thus, they are synonyms of each other.
'Dissuade' means 'to discourage'. Thus, it is an antonym. 'Bother' means 'to worry, disturb, or upset (someone)'. Thus, they are not synonyms of the given word.

CAT Practice Test: September 29 - Question 28
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Directions: Choose the word opposite in meaning to the given word.

FALLOW
Detailed Solution for CAT Practice Test: September 29 - Question 28

The word 'fallow' means 'a piece of land plowed and left uncultivated for a season or more.'
Whereas 'in use' means 'something which is being utilised or used for some purpose.'
So, option D is the antonym of the given word.

CAT Practice Test: September 29 - Question 29
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Directions: Select the word that most closely defines the given word.

INGENUOUS
Detailed Solution for CAT Practice Test: September 29 - Question 29

The word 'ingenuous' means 'showing innocent or childlike simplicity and candidness.'
'Honest' also means 'free from fraud or deception.'
So, option B is the correct answer.

CAT Practice Test: September 29 - Question 30
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Directions: Select the word that most closely defines the given word.

FLAGRANT
Detailed Solution for CAT Practice Test: September 29 - Question 30

'Flagrant' means '(of an action considered wrong or immoral) obviously offensive', e.g. a flagrant violation of the law. 'Blatant' means '(of bad behaviour) done openly and unashamedly'. Thus, 'blatant' is closest in meaning to 'flagrant'.
So, option C is the correct answer.

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