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CAT Practice Test: Week 16 - CAT MCQ


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30 Questions MCQ Test - CAT Practice Test: Week 16

CAT Practice Test: Week 16 for CAT 2024 is part of CAT preparation. The CAT Practice Test: Week 16 questions and answers have been prepared according to the CAT exam syllabus.The CAT Practice Test: Week 16 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CAT Practice Test: Week 16 below.
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CAT Practice Test: Week 16 - Question 1
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3x2 – 7x – 6 < 0

Detailed Solution for CAT Practice Test: Week 16 - Question 1

At x = 0, inequality is satisfied. Hence, options (b) and (c) are rejected. x = 3 gives LHS = RHS. and x = – 0.66 also does the same. Hence. roots of the equation are 3 and – 0.66.
Thus, option (a) is correct.

CAT Practice Test: Week 16 - Question 2
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x2 – 3x + 5 > 0

Detailed Solution for CAT Practice Test: Week 16 - Question 2

The given quadratic equation has imaginary roots and is hence always positive.
Thus, option (d) is correct 

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CAT Practice Test: Week 16 - Question 3
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2 – x – x2 ≥ 0

Detailed Solution for CAT Practice Test: Week 16 - Question 3

At x = 0, inequality is satisfied.
Thus, options, (c) and (d) are rejected.
At x = 1, inequality is satisfied
Hence, we choose option (a). 

CAT Practice Test: Week 16 - Question 4
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|x2 + x| – 5 < 0
Detailed Solution for CAT Practice Test: Week 16 - Question 4

At x = 0 inequality is satisfied.
Thus, options (a), (b), are rejected.
Option (c) is obviously not true, as there will be values of x at which the inequality would not be satisfied.
Option (d) is correct.

CAT Practice Test: Week 16 - Question 5
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|x2 – 2x| < x
Detailed Solution for CAT Practice Test: Week 16 - Question 5

At x = 1 and x = 3 LHS = RHS. At x = 2 inequality is satisfied.
At x = 0.1 inequality is not satisfied.
At x = 2.9 inequality is satisfied.
At x = 3.1 inequality is not satisfied.
Thus, option (a) is correct. 

CAT Practice Test: Week 16 - Question 6
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|x2 – 3x| + x – 2 < 0
Detailed Solution for CAT Practice Test: Week 16 - Question 6

The options need to be converted to approximate values before you judge the answer. At x = 0, inequality is satisfied.
Thus, option (b) and (d) are rejected. Option (c) is correct. 

CAT Practice Test: Week 16 - Question 7
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x2 – |5x – 3| – x < 2
Detailed Solution for CAT Practice Test: Week 16 - Question 7

At x = 0, inequality is satisfied, option (a) rejected. At x = 10, inequality is not satisfied, option (c) rejected.
At x = –5, LHS = RHS.
Also at x = 5, inequality is satisfied and at x = 6, inequality is not satisfied.
Thus, option (d) is correct. 

CAT Practice Test: Week 16 - Question 8
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3x2 – 7x + 6 < 0
Detailed Solution for CAT Practice Test: Week 16 - Question 8

At x = 0, inequality is not satisfied.
Hence, options (b), (c) are rejected. At x = 2, inequality is not satisfied.
Hence, option (a) is rejected.
Thus, option (d) is correct.

CAT Practice Test: Week 16 - Question 9
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x2 – 14x – 15 > 0
Detailed Solution for CAT Practice Test: Week 16 - Question 9

At x = 0 inequality is not satisfied. Thus option (d) is rejected. 
x = –1 and x = 15 are the roots of the quadratic equation. Thus, option (c) is correct. 

CAT Practice Test: Week 16 - Question 10
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|x2 – 4x| < 5
Detailed Solution for CAT Practice Test: Week 16 - Question 10

At x  = 0 inequality is satisfied, option (b) is rejected.
At x  = 2, inequality is satisfied, option (c) is rejected.
At x = 5, LHS = RHS.
At x = –1, LHS = RHS.
Thus, option (d) is correct. 

CAT Practice Test: Week 16 - Question 11
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In a certain coding system, 'TEN' is coded as 256 and 'SIXTY' is coded as 19827. How will you code 'SIXTEEN' in this coding system?
Detailed Solution for CAT Practice Test: Week 16 - Question 11

 Each letter has a different code as shown:

SIXTEEN → 1982556

CAT Practice Test: Week 16 - Question 12
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In a certain coding system, 'CAMEL' is coded as 25106, 'LION' is coded as 6793 and 'TIRE' is coded as 4780. How will you code 'ELITE' in this coding system?  
Detailed Solution for CAT Practice Test: Week 16 - Question 12

C = 2, A = 5, M = 1, E = 0 and L = 6
L = 6, I = 7, O = 9 and N = 3
T = 4, I = 7, R = 8 and E = 0
Seeing the codes given for each letter, we get ELITE → 06740

CAT Practice Test: Week 16 - Question 13
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Directions: This question is based on five words given below.

DROP TAKE BACK NEED QUIT

(Note: The word formed after performing the given operations may or may not be a meaningful English word)

If third letter of each word is exchanged by first letter of the same word and the last letter of all the words is replaced by the previous letter in the English alphabetical series, then how many words thus formed have either third or fourth letter as a vowel?
Detailed Solution for CAT Practice Test: Week 16 - Question 13

According to question, the new formed words will be
ORDO
KATD
CABJ
EENC
IUQS

Only one of them have a vowel at fourth place i.e ORDO.

CAT Practice Test: Week 16 - Question 14
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Directions: This question is based on five words given below.

AWAY TAKE GRAT PISS DEAL

(Note: The word formed after performing the given operations may or may not be a meaningful English word)

If all the letters of each word are arranged alphabetically and then the words so formed are arranged in alphabetical order, then what will be the second letter of the third word?
Detailed Solution for CAT Practice Test: Week 16 - Question 14

Words are as follows.
AWAY TAKE GRAT PISS DEAL

After arranging letters of each word alphabetically,
AAWY AEKT AGRT IPSS ADEL

After arranging these words alphabetically,
AAWY ADEL AEKT AGRT IPSS

Second letter of the third word is E.

CAT Practice Test: Week 16 - Question 15
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If 'orange' is called 'butter', 'butter' is called 'soap', 'soap' is called 'ink', 'ink' is called 'honey' and 'honey' is called 'orange', then which of the following is used for washing clothes?  
Detailed Solution for CAT Practice Test: Week 16 - Question 15

Soap is used for washing clothes and it is called 'ink' according to the question. Hence, 'ink' is the correct answer.

CAT Practice Test: Week 16 - Question 16
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Directions: Study the given information carefully and answer the given question.

In a certain code language,
'Markets are hi-tech today' means 'pa la ka ma'
'Paisa transfer through markets' means 'ka na sj si'
'Hi-tech paisa easy today' means 'la pa na me'
'Today man through time' means 'si mn ke la'

Q. What is the possible code for 'time paisa transfer'?
Detailed Solution for CAT Practice Test: Week 16 - Question 16

Code for 'paisa' is 'na', code for 'transfer' is 'sj' and code for 'time' is either 'mn' or 'ke'. So, out of given options, 'na sj mn' is correct.

CAT Practice Test: Week 16 - Question 17
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Directions: Study the given information carefully and answer the given question.

In a certain code language,
'Markets are hi-tech today' means 'pa la ka ma'
'Paisa transfer through markets' means 'ka na sj si'
'Hi-tech paisa easy today' means 'la pa na me'
'Today man through time' means 'si mn ke la'

Q. What is the code for 'transfer'?
Detailed Solution for CAT Practice Test: Week 16 - Question 17

CAT Practice Test: Week 16 - Question 18
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Directions: Study the given information carefully and answer the given question.

In a certain code language,
'Markets are hi-tech today' means 'pa la ka ma'
'Paisa transfer through markets' means 'ka na sj si'
'Hi-tech paisa easy today' means 'la pa na me'
'Today man through time' means 'si mn ke la'

Q. What will be the code for 'markets'?
Detailed Solution for CAT Practice Test: Week 16 - Question 18

CAT Practice Test: Week 16 - Question 19
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Directions: Study the given information carefully and answer the given question.

In a certain code language,
'Markets are hi-tech today' means 'pa la ka ma'
'Paisa transfer through markets' means 'ka na sj si'
'Hi-tech paisa easy today' means 'la pa na me'
'Today man through time' means 'si mn ke la'

Q. What does code 'me' mean?
Detailed Solution for CAT Practice Test: Week 16 - Question 19

CAT Practice Test: Week 16 - Question 20
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Directions: The question below consists of a group of digits followed by combinations of letters/symbols. You have to find out which of the combinations correctly represents the group of digits, based on the following coding system and the conditions given below. Mark that combination as your answer. If none of the combinations correctly represents the group of letters, give option (5), i.e. 'None of these' as the answer.

Conditions:
(i) If the first digit is odd and the last digit is even, then the code has to be exchanged.
(ii) If both digits, first and last are even, then both have to be coded on the basis of the first digit.
(iii) If the first digit is even and the second digit is odd, then both have to be coded on the basis of the odd digit.

Q. Find the correct combination of codes for the following group of digits.

384695
Detailed Solution for CAT Practice Test: Week 16 - Question 20

 No condition: Code as it is.
Given, 3 8 4 6 9 5
Code language, F # % $ E Q

CAT Practice Test: Week 16 - Question 21
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Directions: Read the given passage and answer the question that follows.
The electronic voting machines that were introduced a few years ago are now under suspicion of being prone to be tampered with. Government findings suggest that these machines are not foolproof and are not the best alternative for the old-school ballot paper. If that is true, the incumbent government, elected on the basis of a dubious electronic voting system, can be deemed illegitimate, necessitating a reelection conducted on the basis of the paper ballot.

Which of the following is an inherent assumption that would necessitate conduct of fresh elections?
Detailed Solution for CAT Practice Test: Week 16 - Question 21

The findings can impact the result of elections only if there is evidence that such tampering indeed took place and was material in substance.

CAT Practice Test: Week 16 - Question 22
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Directions: Read the given passage and answer the question that follows.
Residents argue that the recent effort to reduce crime by clamping a curfew on movement in groups of 6 or more persons after 5:00 pm is insufficient and unproductive especially as students usually move late in groups of 4 or 5. They claim that simply having all movements in groups of even two persons restricted after 8:00 pm could be a greater deterrent to crime.
Which of the following does the argument NOT assume?
Detailed Solution for CAT Practice Test: Week 16 - Question 22

If miscreants re-adjust their nuisance timings to exclude the restrictive hours; if students often move after 8.00 pm; if law enforcement agencies identify the potential miscreants in advance; and if most criminal acts are not committed after 8.00 pm, the argument will lose much of its relevance. Option (3), in fact, is the only one that is not inherently assumed.

CAT Practice Test: Week 16 - Question 23
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Directions: In the following item, a question is given followed by two arguments numbered I and II. You have to decide which of the given arguments is/are 'strong'.
Question: Should there be only one rate of interest for term deposits of varying duration in banks?
Arguments:
I. No, people will refrain from depositing money for longer duration resulting in reduction of liquidity level of banks.
II. Yes, this will be much simpler for the common people and they may be encouraged to keep more money in banks.
Detailed Solution for CAT Practice Test: Week 16 - Question 23

Clearly, the proposed scheme would discourage people from keeping deposits for longer duration (the rate of interest being the same for short duration) and not draw in more funds.
So, argument I only will be strong.
Now, if the interest will be the same, then people obviously will not be encouraged to keep more money in bank.
However, if high interest (varied interest) is kept for high amounts, then people will be encouraged to keep more money. So, argument II is not strong.
Hence, option b is the correct answer.

CAT Practice Test: Week 16 - Question 24
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Directions: The question given below is followed by two arguments numbered I and II. You have to decide which of the given arguments is a 'strong' argument and which is a 'weak' argument.
Should cost of conventional fuels be increased to alleviate global environmental problems?
Arguments:
I. Yes, the decrease in the demand of conventional fuels as a result of high price would lessen the exploitation of natural resources.
II. No, government must spend more money on conducting research and developing technology to make the use of renewable energy resources more attractive than that of conventional fuels.
Detailed Solution for CAT Practice Test: Week 16 - Question 24

Both the given arguments are strong. Hike in fuel prices would lead to a decline in demand of fuel and as a result of which exploitation of natural resources would decrease.
Argument II is also strong as it is better to spend more money on conducting research and developing technology to use renewable energy resources.
But, as both the given arguments present two opposite views option 3 is the correct answer.

CAT Practice Test: Week 16 - Question 25
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Directions: The question given below is followed by two arguments numbered I and II. You have to decide which of the given arguments is a 'strong' argument and which is a 'weak' argument.
Should juvenile criminals be made to do unpaid community work instead of being put behind bars?
Arguments:
I. Yes, unpaid community work encourages youth to be active in the community and facilitates changes in community perceptions about the offender.
II. Yes, they must be provided opportunities to choose the community service project they want to participate in.
Detailed Solution for CAT Practice Test: Week 16 - Question 25

Argument I is strong as it presents a logical reason to support unpaid community work to be done by juvenile criminals.
Argument II is weak as it doesn't provide a reason that justifies the mandate that asks juvenile criminals to do unpaid community work. It further presents view about the kind of community work that must be offered.
So, option (a) is the correct answer.

CAT Practice Test: Week 16 - Question 26
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Directions: In the question below, a statement is followed by assumptions numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the statement and assumptions and then decide which of the assumptions is/are implicit in the statement.
Statement: Satya Nadella is very happy with his newly assigned profile that has added more responsibilities on his already existing role.
Assumptions:
I. Satya Nadella has now achieved a very high position in Microsoft.
II. Satya Nadella cleared this interview and got hired.
III. The hiring manager was impressed with his abilities.
Detailed Solution for CAT Practice Test: Week 16 - Question 26

Assumption I is not implicit as nothing has been said about his current position.
Assumption II is implicit because first role suggests that Satya Nadella played more than one role in the company. Only if the hiring manager was impressed, Satya Nadella got his first role.
So, option d is the correct answer.

CAT Practice Test: Week 16 - Question 27
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Directions: The question given below is followed by two arguments numbered I and II. You have to decide which of the given arguments is a 'strong' argument and which is a 'weak' argument and then mark the correct option accordingly.
As a result of tourism, many historical buildings and sites are being damaged beyond repair. Should government put restraints on tourism to protect them?
Arguments:
I. No, government shall invest in maintenance of such buildings and sites and promote responsible tourism.
II. Yes, country's heritage defines its identity, so protecting such buildings and sites is prime.
Detailed Solution for CAT Practice Test: Week 16 - Question 27

Argument I provides a rational solution to the problem, so it can be considered a strong argument. Argument II is weak as it is not a reasonable cause to restrict tourism.
Hence, option (a) is the correct answer.

CAT Practice Test: Week 16 - Question 28
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Directions: From the alternatives, choose the one which correctly classifies the four sentences as a
F (Fact): If it relates to a known matter of direct observation or an existing reality or something known to be true.
J (Judgement): If it is an opinion or estimate or anticipation of common sense or intention.
I (Inference): If it is a logical conclusion or deduction about something, based on the knowledge of facts.
Select the answer option that best describes the set of four statements.
1. Everyday social life is impossible without interpersonal relationships.
2. The root of many misunderstandings has been cited in poor relations among individuals.
3. Assuming the above to be true, social life will be much better if people understand the importance of good interpersonal relations.
4. A study reveals that interpersonal relations and hence life in general can be improved with a little effort on the part of individuals.
Detailed Solution for CAT Practice Test: Week 16 - Question 28

Statement A provides an opinion talking about the importance of interpersonal relations, which makes it a judgement.
Statement B uses the word 'cited' which indicates that it is a fact.
Statement C uses the word 'assuming' which makes it clear that it presents an inference.
Statement D is a fact as it lays down the information according to a study.

CAT Practice Test: Week 16 - Question 29
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Directions: The question has a set of four sequentially ordered statements. Each statement can be classified as one of the following:
Fact, which deals with pieces of information that one has heard, seen or read, and which is open to discovery or verification (the answer option indicates such a statement with an 'F')
Inference, which is a conclusion drawn about the unknown, on the basis of the known (the answer option indicates such a statement with an 'I').
Judgement, which is an opinion that implies approval or disapproval of persons, objects, situations and occurrences in the past, the present or the future (the answer option indicates such a statement with a 'J')
Select the answer option that best describes the set of four statements.
1. Be ambitious in thinking but down-to-earth in action.
2. Doing things locally may bring multiple development impacts.
3. Gram Panchayats across the country have initiated Gram Panchayat Development Plan (GPDP).
4. More young people live in India than in any other country; therefore, Indian government is planning to create public-private partnerships with companies to provide skill training to youth.
Detailed Solution for CAT Practice Test: Week 16 - Question 29

Statements 1 and 2 are judgements as they are purely opinions with no trace of facts. Statement 3 is a fact. Statement 4 is an inference that contains an opinion (Indian government is planning to create public-private partnerships with companies to provide skill training to youth) based on the fact (More young people live in India than in any other country).

CAT Practice Test: Week 16 - Question 30
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Directions: Read the passage/argument and answer the question that follows it.
The real estate sector in many parts of the USA is witness to a significant slump, which is attributed to high home loan mortgage rates by most realtors. They believe that in order to ease the situation, the Federal Reserve should step in and improve market liquidity so as to enable people to buy houses at affordable prices.

Which of the following, if true, would serve the most to weaken the argument offered by realtors?
Detailed Solution for CAT Practice Test: Week 16 - Question 30

Option (a) tends to support the logic given in the passage by making a positive link between the demand for houses and interest rates. Thus, it is ruled out.
Option (b) talks of an opinion expressed by some people, but the words believe and some render it doubtful.
Options (c) and (d) are irrelevant as they talk of the homeowners` motive and availability of houses, both of which are irrelevant to this discussion.
Price-inelastic demand in a certain sector means that the demand will not change as a result of change in prices. It ultimately means that even if mortgage loan rates are reduced, it will do nothing to stimulate the demand for more houses. Hence, option (d) is the right answer.

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