IBA Admission Test | 2010-2011

Part I: MCQ

Section I: Mathematics (Questions 1 to 30)

Mr. Adittya, a renowned engineer, designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 24-foot platform and caught it after it had traveled 23.25 yards. How many times did the ball bounce?

In a nationwide poll, p people were asked 2 questions. If 2/5 of them answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of

people polled who did not answer “yes” to both questions? Ans C

Sami, one awesome money-monger, invested a certain sum of money in a simple interest bond whose value grew to Tk. 300 at the end of 3 years and to Tk. 400 at the end of another 5 years. What was the rate of interest in which he invested his sum?

Nishat bought two old cars for Tk. 18,000 in total. By selling one at a profit of 25% and the other at a loss of 20%, she stays at break-even. What was the cost price of each car?

Rahim and Sohail. live in the same house and work in the same place. Rahim takes 20 minutes and Sohail takes 30 minutes to reach workplace. Sohail starts from the house 5 minutes earlier than Rahim starts. How many minutes would Rahim take to meet Sohail

The price of sugar increases by 32%. A, family reduces its consumption so that expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month, then the consumption of sugar per month is approximately?

Hasheem’s Taxi Service charges an initial fee of Tk. 55.50 at the beginning of a trip and an additional charge of Tk. 15.25 for each two-fifth of a mile traveled. What is the total charge for a trip of 3.6 miles?

In an afternoon, some friends were enjoying chitchat among themselves in Dhaka University campus. One of them, after sometime, bought some biscuits so that each of them got exactly 3 biscuits’as light refreshment. As they were about to take their refreshment, three other friends joined them. Now it was not possible for them to divide those biscuits among themselves evenly. To solve the problem, one more biscuit was bought by them so that each got exactly two biscuits and hence they enjoyed their refreshment. How many people enjoyed the refreshment?

The surface of a certain planet reflects 80 percent of the light that strikes it. If the clouds around the planet absorb 40 percent of the reflected light, what percent of the light that strikes the planet is reflected from the surface that passes through the clouds without being absorbed?

In a market survey, 20% opted for product A whereas 60% opted for product B. The remaining individuals were not certain. If the difference between those who opted for product B and those who were uncertain was 720, how many individuals were covered in the survey?

The electric company charge: Tk. 0.30 per kilowatt hour (KWH). Rahim used 2800 KWH in April, 3200 KWH in May, and 3600 KWH in June. What was his average costs of electricity for the 3 months?

The age of the father of two children is twice that of the elder one added to four times that of the youngest one. If the arithmetic mean and product of the ages of the two children is 8 years and 48 years respectively, then what is the age of the father?

If x and y are integers and – 6< x≤ 7 and – 3 ≤ y ≤ 9, then which of the following cannot be a value of xy?

A maximum of 25 grams of salt dissolves in 100 grams of water and any more salt, if added, remains undisclosed and a sediment falls at the bottom. Now. Water is evaporated from 1 kilogram of a 4% solution at the rate of 28 grams per hour. After how long would the salt start regimenting?

If x, y and z are positive integers, and 4x = 5y = 6z, then what is the least possible value of x + y + z?

Two friends, Rajib and Rahat, entered into a partnership investing Tk. 700 and Tk. 600 respectively.

After 3 months, Rajib withdrew 2/7 of his investment but after 3 months, he reinvested 3/5 of what he had

withdrawn. The profit at the end of the year was Tk. 726. If the profit was shared according to time weighted investment, then what was the difference between the profits of those two friends?

If m is an integer, and y = (m -1) (m + 2) -(m -1) (m -2), then which of the following must be true?

In a sample of 900 university students, all students are either freshmen or sophomores or junior or seniors, 24 percent are juniors and 72 percent are not sophomores. If there are 144 seniors, how many more freshmen than sophomores are there among the sample of students?

At what acute angle, in degrees, is the minute hand and the hour hand of a clock inclined at 22 minutes past 6?

There are 9 novel books, 4 drama books, 12 poetry books and 7 grammar books in my bookshelf. The books are randomly arranged in the shelf and not at all in the order of their type. My reading room where that bookshelf is located lacks sufficient lighting during evening time and as a result of that, types of that bookshelf are not visible, what is the least number of books that must be drawn from the bookshelf in the evening in order to get 6 books of a particular type?

The length of a rectangular field is four times its width. If the cost of cultivating the field at Tk. 20 per square meter is Tk. 1,280 then what is the perimeter, in meters, of the rectangular field?

In a class, the average score of boys in an examination is 64 and that of girls is 61, If the average score of the whole class is 62.2, then what percent of the class are the boys?

With both inlets open, a water tank will be filled with water in 48 minutes. The first inlet alone would fill the tank in 2 hours. What is the capacity of the tank, in cubic meters, if in every minute the second inlet admits 50 cubic meters of water more than the first?

Which of the following represents the ratio of the volumes of two solids, namely cylinder and cone having equal base area and height?

Sajib has n candies, Where n is an integer such that 20 < n < 50. If he divides the candies equally among 5 children, he will have 1 candy remaining. How many candies will remain if he divides the candies among 7 children?

At a beverage outlet, a certain drink of type “A” is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type “B” is prepared by mixing 4 parts fruit juice with 3 parts milk•, How many liters of fruit juice must be added to 14 liters of drink “A” to convert it to drink “B”?

If square ABCD has an area of x² and line segment AE has length 4, and line segment AF has length 3, then what is the area of IGCH in terms of x? [Picture not drawn to scale]

The basic one-way train fare for a child aged between 3 and 12 years costs half the regular one-way train fare for an adult plus a reservation charge that is the same on the child’s ticket as on the adult’s ticket. One reserved ticket for an adult costs Tk. 216 and the cost of a reserved ticket for an adult and

a child (aged between 3 and 12) costs Tk. 327. What is the basic fare for the journey for an adult?

. For any 3 given numbers, which of the following always produces the same number as adding the 3 numbers together and then dividing the sum by 3? Ans B

1. Ordering the 3 numbers numerically, from highest to lowest, and then selecting the middle number.
2. Dividing each of the numbers by 3 and then adding the result together.
3. Multiplying each number by 6, adding the resulting products together, and then dividing the sum by?

Nimmi has 25 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?

SECTION II: LANGUAGE & COMMUNICATION (Questions 31 to 60)

Questions 31 to 33: Reading Comprehension

Instruction: Read the following passage and select the best answer for each of the questions that follow. The Earth’s magnetic field is generated as the molten iron of the Earth’s outer core revolves around its solid inner core. When surges in the molten iron occur, magnetic tempests are created. At the Earth’s surface, these tempests can be detected by changes in the strength of the Earth’s magnetic field. For reasons not fully understood, the field itself reverses periodically every million years or so. During the past million years, for instance, the magnetic north pole has migrated between the Antarctic and the Arctic. Clearly, geophysicists who seek to explain and forecast changes in the field must understand what happens in the outer core. Unlike meteorologists, however, they cannot rely on observations made in their own lifetimes. Whereas atmospheric storms arise in a matter of hours and last for days, magnetic tempests develop over decades and persist for centuries. Fortunately scientists have been recording changes in the Earth’s magnetic field for more than 300 years

In the passage, the author is primarily concerned with

The passage suggests which of the following about surges in the Earth’s

In the lines 5-10, the author is primarily concerned with —

Questions 34 to 40: Identification of incorrect sentence

Instruction: For each question, select the option that represents the incurred sentence. If no such option is found, mark (E) in the answer sheet.

Identification of incorrect sentence

Identification of incorrect sentence

Identification of incorrect sentence

Identification of incorrect sentence

Identification of incorrect sentence

Identification of incorrect sentence

Instruction: Read the following passage and select the best answer for each of the questions that follow.

Analyzing^, the physics of dance can add fundamentally to a dancer’s skill. Although dancers see themselves warty in physical terms – as body mass moving through space under the influence of well-known forces and obeying physical laws – neither can they afford to ignore the physics of movement. For example, no matter how much a dancer wishes to leap off the floor and then start turning the law of conservation of angular momentum absolutely prevents such a movement. Some movements involving primarily vertical or horizontal motions of the body as a whole, in which rotations can be ignored, can be studied using simple equations of linear motions in three dimensions. However, rotational motions require more complex approaches that involve analyses of the way the body’s mass is distributed, the axes of rotation involved in different types of movement, and the sources of the forces that produce the rotational movement.

41.The author mentions all of the following as contributing to an understanding of the physics of dance except-

Analyzing the physics of dance can add fundamentally to a dancer’s skill. Although dancers seldom see themselves totally in physical terms-as body mass moving through space under the influence of well-known forces and obeying physical laws-neither can they afford to ignore the physics of movement.For example, no matter how much a dancer wishes to leap off the floor and then start turning, the law of conservation of angular momentum absolutely prevents such a movement.

Some movements involving primarily vertical or horizontal motions of the body as a whole, in which rotations can be ignored, can be studied using simple equations of linear motion in three dimensions. However, rotational motions require more complex approaches that involve analyses of the way the body’s mass is distributed, the axes of rotation involved in different types of movement, and the sources of the forces that produce the rotational movement.

Analyses of which of the following would require the kind of complex approach described in the lines 14-19?

The primary purpose of the passage is to –

Questions 44 to 48: Fill in the Gaps

Instruction: Far each question, select the world (s) phrase (s) that appropriately fill (s) the gaps.

The authority ______ the admin officer for his _____                  way of redacting.

“Kicking the bucket” is a humorous                 _____for “dying

The lawyer’s pleading did not __ the harsh sentence of the judge; indeed, the lawyer’s ____

Only_____       the extent of the punishment as if throwing

No one should go to that club as it is               ____ bad people

It was___   rather than genius that led the archeologist to his discovery of the ancient civilization

Questions 49 to 53: Finding incorrect use of idioms

Instruction: Each question below consists of five options. You have to find out the incorrect usage of idioms from the first four options, If all the four options are correct, choose option (E).

Finding incorrect use of idioms

Finding incorrect use of idioms

Finding incorrect use of idioms

Finding incorrect use of idioms

Questions 54 to 55: Reading comprehension

Instruction: Read the following passage and select the best answer for each of the questions of that follow.

National character is not formally considered by social scientists in discussing economic and social development today. They believe that people differ, and that these difference should be taken into account somehow, but they have as yet discovered no way to include such variables in their formal models of economic and social development. The difficulty lies in the nature of the data that supposedly define different national characteristics. Anthropologists and others are on much firmer ground when they attempt to describe the cultural norms for a small homogeneous tribe or village than when they undertake the formidable task of discovering the norms that exist in a complex modern nation-state composed of many disparate groups. The situation is further complicated by the nature of judgments about characters since such judgments are overly dependent on impressions, and since, furthermore, impressions are usually stated in qualitative terms, it is impossible to make a reliable comparison between the national characters of two countries.

 It can be inferred from the passage that the social scientists mentioned in lines 1-4 would agree with which of the following statements?

1. It is extremely difficult to create models that account for both economic and social development.
2.  Models of economic and social development would be improved by the inclusion of adequate descriptions of national character.
3.  It is important to supplement formal models of economic and social development with qualitative impressions of national character.

Which of the following best describes the organization of the passage?

Questions 56 to 60: Identification of word inappropriate in a context

Instruction: For each question, select the word that cannot be replaced for the word underlined, If no such word is found mark (E) in the answer sheet.

Abrar was so impetuous that he never took more than a few seconds to make up his mind.

If people live in squalor for too long, the ruling elite can count on an insurgency.

The secretary condoned the workers’ smoking in the corridor.

The speaker’s address about a career is a little nebulous at this point. 

It is ludicrous to call a cottage a mansion.

SECTION III: ANALYTICAL ABILITY (Question 61 to 75)

 Leaders of a garments’ union in Bangladesh on a strike against their garments company “KIRTONKHOLA” are contemplating additional measures to pressure the company to accept the union’s contract proposal. The union leaders are considering as their principal new tactic, a consumer boycott against “BHUBONESHSHOR”, a customarized super shop outlet, which is owned by “RIVERINE BANGLADESH”, the same group that owns “KIRTONKHOLA”. Answer to which of the following questions is LEAST directly relevant to the union leaders’ consideration of whether attempting a boycott of “BHUBONESHSHOR” will lead to acceptance of their contract proposal?

The sense of delayed gratification of working now for later pleasure has helped shape the economic behavior of our society. However, that sense is no longer nurtured as consistently in our children as it once was. For example, it used to take a bit of patience to put together the toys that children got inside the cereal boxes; now the toys come in whole. Which of the following is an assumption made by the argument?

Questions 63 to 65

In “RIGHT ON TIME” courier service, during an autumn day, a courier has to deliver six packages -Hurricane, Torpedo, Cyclone, Tornado, Typhoon, and Thunder. He delivers no other packages, and no two packages are delivered at the same time. The order in which the packages are delivered conforms to the following conditions: Ans C

Hurricane is neither delivered first nor delivered last.

Cyclone is delivered before Tornado is delivered.

Thunder is delivered after Tornado is delivered.

Typhoon and Cyclone are delivered in immediate succession, regardless of whether Typhoon or Cyclone is delivered first.

Which of the following is a full and accurate list of all packages which could be delivered last?

Torpedo could be delivered in all of the following positions except

If Thunder is delivered before Hurricane, which of the following must be true?

The number of people diagnosed with dengue fever (which is contracted from the bite of an infected mosquito) in Bangladesh this year is twice the number diagnosed last year. The authorities have concluded that measures to control the mosquito population have failed in the region. All of the following, if true, would cast doubt on the authorities’ conclusion

Questions 67 to70.

It is a bright sunny day and the last Cricket match of Micromax GDI series between Bangladesh had New Zealand is about to begin. All the people of Bangladesh are very excited and eagerly waiting to watch the match. On that day, witn no exception, three sophomores named Rakshan, Salsabil, Tarnnum with two seniors named Udvash & Vanu and four freshmen named Wajhat, Xanbi, Yasrib, Zeehan are going to enjoy the match at Mirpur Stadium, Though they have nine tickets for the game but the seats against those tickets are scattered in three different arenas of the gallery. Each arena has a group of three adjacent seats. In this circumstance, they have to divide themselves into three groups but that is not so easy as they have certain reservations that must be followed while forming the groups. A funny constraint is that no sophomores can be together in any group and so are any seniors. Not only that, Wajhat in his very first day at university had an unfortunate mishap with Rakshan and thereupon he is not in a position to be in the same group of Rakshan. Last but not the least, Xanbi, being a bit obstinate, constraints herself to be in a group with Salsabil or Udvash or both.

 Any of the following pairs of people could be in Xanbi’s group except

Which of the following pairs of people can be in the same group as Wajhat?

Which of the following must be true?

 If Rakshan and Udvash are two of the three people in the first group, who can be in the second and third groups respectively?

The committee on gender discrimination in the workplace has highlighted Rainbow Company as a chief offender. Of the fifteen senior executives in the firm, only one is a woman. And of the thirty junior executives, only five are female. Rainbow could best defend itself against the charges by showing that

Nineteenth-century art critics judged art by the realism of its method of representation. It was assumed that the realistic method developed from primitive beginnings to the perfection of formal realism. It is one of the permanent gains of the artistic revolution of the twentieth century that we are rid of this type of aesthetics. It can be inferred from the information given that the artistic revolution of the twentieth century had which of the following

Stand next to the lamp-post and face west. Walk 20 yards and then turn 90 degrees clockwise. Walk another 10 yards and then turn 45 degrees anticlockwise. Walk another 15 yards, reverse your direction and walk 5 yards back. Turn 135 degrees clockwise and walk another 10 yards. In which direction are you now facing?

Exactly 7 children – P, Q, R, S, T, U, and V – participated in and finished all of a series of races. There were no ties for any position at the finish of the races. The facts about the races were revealed as: V finished somewhere ahead of P and P finished somewhere ahead of Q. Not only that, either R finished first and T finished last, or S finishes first and U or Q finishes last. If in a race S finishes sixth and Q finishes fifth, which of the following can be true?

Why save endangered species? For the general public, endangered species appear to be little more than biological oddities. A very different perception is gained from considering the issue of extinction in a wider context. The important point is that many major social advances have been made on the basis of life forms whose worth would never have been perceived in advance. Consider the impact of rubber-producing plants on contemporary life and industry: approximately two-thirds of the world’s rubber supply come from rubber-producing plants and is made into objects as diverse as rubber washers and rubber boots. Any of the following facts could be used as illustrative examples in addition to the example of rubber-producing plants EXCEPT-