CAT Practice Test: Week 16 - CAT MCQ

|x² + x| – 5 < 0

|x² – 2x| < x

|x² – 3x| + x – 2 < 0

x² – |5x – 3| – x < 2

3x² – 7x + 6 < 0

x² – 14x – 15 > 0

|x² – 4x| < 5

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?

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?  

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?

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?

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?  

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'?

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'?

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'?

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?

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

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?

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?

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.

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.

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.

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.

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.

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.

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.

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?