CAT Practice Test: August 11 - CAT MCQ

If the fifth term of an AP is twice its third term, then the first term of the AP is

The sum of 3rd and 15th terms of an arithmetic progression is equal to the sum of 6th, 11th and 13th terms of the same progression. Which term of the given progression should necessarily be equal to zero?

Find the sum of all even numbers from 10 to 200 (inclusive), excluding those, which are multiples of 6.  

The average of x and y is 4 and both x and y are positive integers. How many pairs of (x, y) satisfy this condition?

In a party the ratio of male and female is 5 : 4, the ratio of married and bachelor males is 2 : 5 and the ratio of married and unmarried females is 1 : 3. Total persons in the party are 630. If a man contributes Rs. 20 and a female Rs. 10, then what is the average contribution (in Rs.) per head by unmarried persons?

Directions: Find the wrong term in the following series.

8, 15, 41, 169, 841, 5041, 35281

What should come in place of the question mark in the following number series?

1, 4, 27, 16, 125, 36, ?

What should come in place of the question mark in the following number series?

4, 8, 6, 18, 10, 50, ?, 98

Directions: Select the number that will come in place of the question mark (?) in the following series.

18, 23, 38, 83, 218, ?

Find the missing term in the following series:

2, 5, 14, 41, 122, ?

Directions: Study the diagram given below carefully and answer the following question.
I – Males
II – Indians
III – Sports persons
IV – Educated

The non-Indian males, who do not like sports and are also uneducated, are represented by

Directions: The question below contains four elements. These four elements may or may not have some linkage. The group of elements may fit into one of the diagrams (1), (2), (3) and (4). You have to indicate the diagram for the given group of elements.

Painters, Married, Students, Players

Directions: The following question contains four elements. These four elements may or may not have some linkage. The group of elements may fit into one of the diagrams given as alternatives (1), (2), (3), and (4). Choose the diagram that correctly represents the relationship between the given elements.

Odd numbers, Multiples of three, Multiples of five, Multiples of seven

Directions: The problem below contains three elements. These three elements may or may not have some relationship. The group of elements may fit into one of the diagrams (1), (2), (3) or (4). You have to choose the diagram that correctly indicates the relationship between the given elements.

Professionals, Graduates, Athletes

Directions: Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out. Choose its number as your answer and key it in.

Directions: Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out. Choose its number as your answer and key it in.

Directions: Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out. Choose its number as your answer and key it in.

Directions: Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out. Choose its number as your answer and key it in.

Directions: In the following question a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer choices given, to make the passage complete and coherent (coherent means logically complete and sound).

Once we take the numbers present at the protests out of the equation what distinguishes a fringe group from a civil society protest would usually be that civil society movements have a more rational and morally justified case to make. ___________ The dependence on rationality in trying to change urban public opinion is not what it was, anywhere in the world. The Indian politicians have, over a much longer period, treated some issues as being matters of faith, and hence not subject to the rules of rational discourse. With rational argument no longer the sole determinant of the direction public discourse will take, the debates in our cities are increasingly between those who would like to take a somewhat old world liberal view, and those who insist their beliefs do not require rational confirmation.

Directions: Some alternative summaries are given below the underneath text. Choose the option that best captures the essence of the text.

So, if there had been a focus on poverty even 50 years ago, why have we not seen it end? This is because the approach of public policy to the problem has been to initiate schemes which could serve as no more than a palliative, as suggested by the very term 'poverty alleviation' commonly used in the discourse of this time. These schemes failed to go to the root of poverty, which is capability deprivation that leaves an individual unable to earn sufficient income through work or entrepreneurship. Income poverty is a manifestation of the deprivation, and focussing exclusively on the income shortfall can address only the symptom.

Directions: Read the paragraph and answer the question that follows.
Very early in the study of genetics biologists began to pay particular attention to the aberrations now known as mutations; this investigation was initiated by de Vries at the turn of the century and brilliantly developed by Morgan and his school from 1910 on. A gene, by definition, is a living particle that reproduces itself, and nearly always it does so exactly. But occasionally, probably under the influence of some outside agent, it forms an imperfect copy of itself. If this altered gene is able to reproduce itself in its new form, the result is a mutation, which is evidenced in permanent change in some trait of the organism.

What according to you would succeed the passage?

Directions: In the following passage, the opening statement has been deleted. From among the statements given below, choose the statement that should precede the passage.

To begin with, banks and NBFCs will no longer need to report each credit exposure to different systems in different formats. Instead, the Public Credit Registry (PCR) will function as a single-point data repository, and different players in the financial system (banks, NBFCs, credit bureaus, regulators, etc.) will draw data from it adhering to strictly-defined access rules. Secondly, the report proposes an enabling legal framework, which will regulate the collection and sharing of this data. Thirdly, information on each default will be shared on a realtime basis, alerting lenders and triggering corrective actions.

Directions: In the following question a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer choices given, to make the passage complete and coherent (coherent means logically complete and sound).

The Almighty once decided that he would bestow on the human being every possible virtue that the Almighty could conjure up. ____________ The Almighty called together a conclave of angels and asked for suggestions on what to do. Some angels suggested that the Almighty take away the virtues and stash them in the sky, for Man may never look there. The Almighty reminded them that Man had already traveled to the moon and therefore one day he might discover the virtues hidden in the sky. A few other angels recommended that the almighty bury the virtues under the ocean. The Almighty once again sought the indulgence of the angels and told them that Man would one day send a submarine and discover the virtues. Not having got satisfactory suggestions the Almighty decided that he would consign all the virtues in Man's heart for he would rarely look within.

Directions: This question has a text portion followed by some alternative summaries. Choose the option that best captures the essence of the text.

A key 2009 regulation actualised gram sabha powers by mandating that all forest diversion proposals and compensatory and ameliorative schemes be presented in detail to the relevant gram sabhas to award or withhold its free, prior, informed consent, and also be preceded by the settlement of all rights under the Forest Rights Act (FRA). A decade on, the government has effectively ensured that forest diversion is a given, and the only sanctioned role for Adivasis and forest-dwellers is that of mute rubber stamps. The Ministry of Environment, Forest and Climate Change formalised this travesty by writing to all States that FRA compliance is not needed for 'in-principle' approval for diversions. Violating the FRA, this damaging move eliminates gram sabhas from decision-making, and makes diversion a violent fait accompli for forest-dwellers.

Directions: The last sentence in the following passage has been deleted. Select the sentence, out of the available options, that best suits the end of the passage.

In the past, customers knew that the computers they bought were not going to run the company. Today - despite wishes to the contrary - they`re realizing that the software they buy is not going to create applications. In the end, customers want results - not just applications that run on computers. How are these results delivered? Through the provision of services.

Directions: Read the given context and answer the question that follows.
Cyril Connolly once wrote: 'The more books we read, the clearer it becomes that the true function of a writer is to produce a masterpiece and that no other task is of any consequence.' This is tosh, of course, for if every book were a masterpiece, no book would be a masterpiece and we could not know a masterpiece when we read it. They also serve who only sit and write trash. To know the good, we have to know the bad and ________________ .

Which sentence best suits the end of the passage?

Directions: Read the paragraph and answer the question that follows.
Whose government is unostentatious, quite unostentatious, his people will be prosperous, quite prosperous. Whose government is prying, quite prying, his people will be needy, quite needy. Misery, alas! rests upon happiness. Happiness, alas! underlies misery. But who foresees the catastrophe? It will not be prevented!
What is ordinary becomes again extraordinary. What is good becomes again unpropitious. This bewilders people, and it happens constantly since times immemorial.
Therefore, the holy man is square but not sharp, strict but not obnoxious, upright but not restraining, bright but not dazzling. To govern the people is the affair of heaven and there is nothing like thrift; thrift is said to come from early practice.
By early practice it is said that we can accumulate an abundance of virtue. If one accumulates an abundance of virtue then there is nothing that can not be overcome. This is called the possession of deep roots and of a staunch stem. To life, to ever lastingness to comprehension, this is the way.
Treat things before they exist. Regulate things before disorder begins. The stout tree has originated from a tiny rootlet. A tower of nine stories is raised by heaping up (bricks of) clay. A thousand miles' journey begins with a foot. The people when undertaking an enterprise are always near completion, and yet they fail.

Which of the following would best succeed the passage?