Practice Test for IIFT - 1 - CAT MCQ

Then x equals

Given z = x²/y, if x and y are both  increased by 10%, then z is 

If log 2 = 0.30103 and log 3 = 0.4771, then number of digits in (10368)⁶ will be equal to

At what percentage above the cost price, must an article be marked, so as to gain 33% after allowing a customer a discount of 5%.

There are 7 oranges, 5 apples and 8 mangoes in a basket. A person wants to eat fruits from the basket, but he is not sure about the number of fruits or types of fruits he will eat. In how many ways can he make a selection of fruits from among those in the basket (He will eat at least one fruit)?

In a class exam, possible grades are I, II, III and Fail. If grades are assigned at random, in a class of 100, what is the probability that at least 2 students of the class will fail?

DIRECTIONS for the question: There are 50 integers a₁, a₂, a₃...a₅₀, not all are necessarily different. The greatest of the integers is called G and the smallest L. The first 24 of the set, a₁ to a₂₄ are part of a sequence S1 and the rest make sequence S2. Each member of S1 is less than or equal to each member of S2.

Elements of S1 are in ascending order and those of S2 are in descending order, a₂₄ and a₂₅ are interchanged. Then Which of the following statements is true?

At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p % of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?

Viraj Mehta bought 100 shares each of 4 different companies. The purchase prices of the shares are Rs.20, Rs.19.50, Rs.27.50 and Rs.26.00 per share on a certain date. In due course of time he sold off all the shares of all the 4 companies, but the transactions took place on different dates. The sale transactions fetched him Rs.12.3, Rs.37.4, Rs.28.6 and Rs.21.7 per share, but it is not known which company's shares were sold when. What is his net profit or loss?   

Two persons P and Q started walking simultaneously from two points A and B respectively along AD and BC, two of the sides of the rectangle ABCD with uniform speeds. By the time P reached D, Q reached E such that BC = 4 BE. At this point of time, they exchange their speeds and starts walking towards C.If they reach C simultaneously, then what is the ratio of BC to AB?

If the point of intersection of the lines bx + 4y + 1 = 0 and ax + 8y + 1 = 0 lies on the line cx + 12y + 1 = 0, then what is the relation between a, b and c?

Two sides of an acute-angle triangle measure 25cm and 41cm respectively. If the area of the triangle is 500 sq.cm, find the measure of the third side.

1 man working alone can finish a project in 12 days, similarly a woman and a child take 24 and 24 days respectively to finish the same work individually. 2 men, 2 women and 2 children started working on the project together. After 1 day, all the children left. Women too worked for next 2 days and left. Rest of the project was completed by the 2 men. How many total days were required to finish the whole work?

A regular hexagon (H₁) of side 8 cm is inscribed in a circle(C₁). Another circle(C₂) is inscribed in the regular hexagon (H₁) and it circumscribes another regular hexagon(H₂) and so on. Find the sum of the areas of all such possible regular hexagons.

A mixture of 144 litres of wine and water contains five parts of wine for 'x' parts of water. If 16 litres of water is added to the mixture, the ratio of wine and water in the resulting mixture would be 3 : 5. what is the value of x?

Ananth took a loan of Rs 20000 from Ankush at a simple interest rate of 10% per annum. Three people Vidya, Keshav and Vindy approached Ananth for a loan, offering to pay 8%, 9% and 13% simple interest per annum respectively. If Ananth lent money in such a way that he will make a profit of 2 % on the borrowed sum per year, what is the maximum possible sum that he might have lent to Vindy?

A watch is currently showing 8 : 42 am. What is the total sum of angles formed by hour and minute candle currently and after 8 hours. (Given - both the angles are < 180)

The number 81X846YZ, where each of the letters X, Y, Z represents a distinct digit, is divisible by each of 5, 8, 9. Find the value of X + Y, if X, Y are not primes.

10 Numbers 2, 4, 9, 3, 7, 6, 5, 1, 8, 0 have been given weights of 1² to 10² respectively. What is the greatest integer less than or equal to the weighted average?

Find the value(s) of x satisfying the equation 16 ^log4 (log₃x) = log₃X - (log₃X) - (log₃X)² + 1

If the odds of Arun hitting a six are 2 against 5. Find minimum number of balls to be played so that probability of hitting a six is always greater than 0.8.

Ashish went to a shop to buy some school bags and asked for "a" red boxes and "b" blue boxes. Each red box has 16 bags while each blue box has only 8 bags. The shopkeeper reversed the numbers and gave Ashish "b" red boxes and "a" blue boxes. Ashish didn't notice that error. He took the boxes home and started selling the bags. After he sold 8 bags, he observed that he was left with 16 bags more than what he had asked for at the shop. Which of the following expressions can be determined?

DIRECTIONS for the question: Read the passage and answer the question based on it. 

The word 'corruption' has multifarious meanings. It means bribery, it means tax evasion, it also means favoritism. It is an immoral practice which existed in our society since times immemorial in one shape or the other. But today, it has raised its giant shaped head in every facets of life. Be it ministers or officers or even clerks, nobody is free from this evil. Social laws are manipulated; rules and regulations are overlooked just to give favour to somebody and taking money from him in return. Although, corruption is a worldwide phenomenon in India. It has become rampant. Even great men like Bacon, Hastings and Walpole had been accused of corruption. But today, the whole India system has been inflicted with it. From an officer down to a peon, everybody seems to be corrupt. Efficiency, integrity and morality have gone to the winds. They have become a thing of the past. The devil of corruption is so powerful that it has shattered our economy and destroyed all the noble values of life. Besides, it has tarnished our image in the eyes of the world. Nepotism, smuggling, hoarding, favoritism and black-money are some of the popular forms of corruption. Tax evasion, adulteration in food, drinks; medicine and other articles of daily use have become the order of the day. There is corruption in every profession. Lawyers, 'doctors and even teachers have lost their integrity and they place money above service. There are many reasons of corruption in our society. First, the poor economic position of the people is responsible for wide spread corruption. Second, there is lack of national character and moral values. Third, people have developed love for money and they want to maintain a high standard of living at all costs. So, they have no conscience to amass wealth through under hand means. They have no time to think of the national interest. The long term solution to the problem is to develop national character. Our education system needs to be overhauled. Honesty should be appreciated and rewarded publicly. Besides this, every department will have to gird up its loins. A strong vigil should be kept on one and all. No one if caught red handed should be spared. Moreover, the officials should be duly paid their salaries so that they do not feel the need of being corrupt. The country needs complete cleaning up from the corrupt officials today.

Q. What is done to promote corruption?

DIRECTIONS for the question: Read the passage and answer the question based on it. 

The word 'corruption' has multifarious meanings. It means bribery, it means tax evasion, it also means favoritism. It is an immoral practice which existed in our society since times immemorial in one shape or the other. But today, it has raised its giant shaped head in every facets of life. Be it ministers or officers or even clerks, nobody is free from this evil. Social laws are manipulated; rules and regulations are overlooked just to give favour to somebody and taking money from him in return. Although, corruption is a worldwide phenomenon in India. It has become rampant. Even great men like Bacon, Hastings and Walpole had been accused of corruption. But today, the whole India system has been inflicted with it. From an officer down to a peon, everybody seems to be corrupt. Efficiency, integrity and morality have gone to the winds. They have become a thing of the past. The devil of corruption is so powerful that it has shattered our economy and destroyed all the noble values of life. Besides, it has tarnished our image in the eyes of the world. Nepotism, smuggling, hoarding, favoritism and black-money are some of the popular forms of corruption. Tax evasion, adulteration in food, drinks; medicine and other articles of daily use have become the order of the day. There is corruption in every profession. Lawyers, 'doctors and even teachers have lost their integrity and they place money above service. There are many reasons of corruption in our society. First, the poor economic position of the people is responsible for wide spread corruption. Second, there is lack of national character and moral values. Third, people have developed love for money and they want to maintain a high standard of living at all costs. So, they have no conscience to amass wealth through under hand means. They have no time to think of the national interest. The long term solution to the problem is to develop national character. Our education system needs to be overhauled. Honesty should be appreciated and rewarded publicly. Besides this, every department will have to gird up its loins. A strong vigil should be kept on one and all. No one if caught red handed should be spared. Moreover, the officials should be duly paid their salaries so that they do not feel the need of being corrupt. The country needs complete cleaning up from the corrupt officials today.

Q. According to the passage, as a result of corruption

DIRECTIONS for the question: Read the passage and answer the question based on it. 

The word 'corruption' has multifarious meanings. It means bribery, it means tax evasion, it also means favoritism. It is an immoral practice which existed in our society since times immemorial in one shape or the other. But today, it has raised its giant shaped head in every facets of life. Be it ministers or officers or even clerks, nobody is free from this evil. Social laws are manipulated; rules and regulations are overlooked just to give favour to somebody and taking money from him in return. Although, corruption is a worldwide phenomenon in India. It has become rampant. Even great men like Bacon, Hastings and Walpole had been accused of corruption. But today, the whole India system has been inflicted with it. From an officer down to a peon, everybody seems to be corrupt. Efficiency, integrity and morality have gone to the winds. They have become a thing of the past. The devil of corruption is so powerful that it has shattered our economy and destroyed all the noble values of life. Besides, it has tarnished our image in the eyes of the world. Nepotism, smuggling, hoarding, favoritism and black-money are some of the popular forms of corruption. Tax evasion, adulteration in food, drinks; medicine and other articles of daily use have become the order of the day. There is corruption in every profession. Lawyers, 'doctors and even teachers have lost their integrity and they place money above service. There are many reasons of corruption in our society. First, the poor economic position of the people is responsible for wide spread corruption. Second, there is lack of national character and moral values. Third, people have developed love for money and they want to maintain a high standard of living at all costs. So, they have no conscience to amass wealth through under hand means. They have no time to think of the national interest. The long term solution to the problem is to develop national character. Our education system needs to be overhauled. Honesty should be appreciated and rewarded publicly. Besides this, every department will have to gird up its loins. A strong vigil should be kept on one and all. No one if caught red handed should be spared. Moreover, the officials should be duly paid their salaries so that they do not feel the need of being corrupt. The country needs complete cleaning up from the corrupt officials today.

Q. The people involved in corruption never think of

DIRECTIONS for the question: Read the passage and answer the question based on it. 

At its heart, democracy is an impostor in India. Instinctively, we feel little need for equality. It is easy to blame politicians for this but that misses the point. Power of all kinds needs to be carried as an immunizing halo around us as one's importance must be auratic. So we have senior officers being 'received' by a gaggle of less senior officers as if they would otherwise have been lost in transit. Even the journalists who rail about this have no problem having an airline minion carry their briefcase to the plane with them. Magistrates and even minor officials carry their designations on their car registration plate and sirens, of course, are everywhere.
The 'do-you-know-who-I-am' question often asked by the allegedly important needs to be understood fully. The emphasis is on the first part — do you know? For what use is my power if it doesn’t keep you at an awed distance? Of what use is my importance if a 'lowly' airport security guard can put his grubby hands all over me in full public view? Power is real only when the weaker person is aware of his relative status. The siren is such a potent symbol of power because it converts an abstract noun into an insistent, compelling, whining one. It flashes neon urgency and snappy impatience; we are put in our place with its relentless importance. I have always wondered what it would be like going through life travelling in a shrieking car but obviously to the politicians, it is just the comforting drone that accompanies their success.
Equality is a sterile idea scrubbed into us. We need to strip ourselves of all that we possess and have to be equal. In a country where historically, any success has been hard to come by, we are in no hurry to become equal. We can rave and rant and shake ineffectual fists at the power hungriness of our rulers but the truth is that given a chance, most will switch on that siren the moment they can.
We need hierarchy because it helps simplify our world by making it deterministic. Science is better than commerce, so why tax your mind about what to choose? It standardizes the world on a single linear dimension and helps you know your place without any ambiguity. The individual and her desires are extracted from the equation; we study what we deserve to rather than what we want to. In a world with few choices, hierarchy offers the comfortable sense of certainty. We see today a large-scale economic and social mobility for the first time in recent history. It is terribly important for the world to notice who we are and so we advertise our climb, be it through a car siren or a larger, flashier car itself.
We already see a movement towards hierarchies created by human exertions. But even now, we conveniently slot people by who they are rather than what they have done. A designation converts achievement into a rung on a ladder; the individual located in a social framework. As we are able to express our achievements in more diverse ways, the idea of a single linear hierarchy will perhaps recede. Till then, a western potty will continue to make me a better man than someone on his haunches on an Indian one. Oh! the subtle hierarchies of evacuation!

Q. The author has written this piece to

DIRECTIONS for the question: Read the passage and answer the question based on it. 

At its heart, democracy is an impostor in India. Instinctively, we feel little need for equality. It is easy to blame politicians for this but that misses the point. Power of all kinds needs to be carried as an immunizing halo around us as one's importance must be auratic. So we have senior officers being 'received' by a gaggle of less senior officers as if they would otherwise have been lost in transit. Even the journalists who rail about this have no problem having an airline minion carry their briefcase to the plane with them. Magistrates and even minor officials carry their designations on their car registration plate and sirens, of course, are everywhere.
The 'do-you-know-who-I-am' question often asked by the allegedly important needs to be understood fully. The emphasis is on the first part — do you know? For what use is my power if it doesn’t keep you at an awed distance? Of what use is my importance if a 'lowly' airport security guard can put his grubby hands all over me in full public view? Power is real only when the weaker person is aware of his relative status. The siren is such a potent symbol of power because it converts an abstract noun into an insistent, compelling, whining one. It flashes neon urgency and snappy impatience; we are put in our place with its relentless importance. I have always wondered what it would be like going through life travelling in a shrieking car but obviously to the politicians, it is just the comforting drone that accompanies their success.
Equality is a sterile idea scrubbed into us. We need to strip ourselves of all that we possess and have to be equal. In a country where historically, any success has been hard to come by, we are in no hurry to become equal. We can rave and rant and shake ineffectual fists at the power hungriness of our rulers but the truth is that given a chance, most will switch on that siren the moment they can.
We need hierarchy because it helps simplify our world by making it deterministic. Science is better than commerce, so why tax your mind about what to choose? It standardizes the world on a single linear dimension and helps you know your place without any ambiguity. The individual and her desires are extracted from the equation; we study what we deserve to rather than what we want to. In a world with few choices, hierarchy offers the comfortable sense of certainty. We see today a large-scale economic and social mobility for the first time in recent history. It is terribly important for the world to notice who we are and so we advertise our climb, be it through a car siren or a larger, flashier car itself.
We already see a movement towards hierarchies created by human exertions. But even now, we conveniently slot people by who they are rather than what they have done. A designation converts achievement into a rung on a ladder; the individual located in a social framework. As we are able to express our achievements in more diverse ways, the idea of a single linear hierarchy will perhaps recede. Till then, a western potty will continue to make me a better man than someone on his haunches on an Indian one. Oh! the subtle hierarchies of evacuation!

Q. The relationship between the siren and power has been explained by the author to