IBA Previous Year Questions

IBA Admission Test | 2017-2018

⏱ 20:00

- Mathematics Two friends Moinul and Nuru have 40% and 60% share in a business. After some time a third friend Azmal joined the business by investing Tk 500,000 and acquired 20% shares in the business. What is the amount (in Tk) of Moinul in the business now?
- Hasan bought a pen for his friend. The cost of the pen was Tk 80 before tax. If the total price including tax was Tk 96, what was the tax rate? ·
- What is the sum of all the integers from -557 to 559, inclusive?
- The sequence a
_{1}, a_{2}, a_{3}.........a_{n}is defined by a_{n}= 9+ a_{n}, for each integer n ≥ 2. If a_{1}= 11, what is the value of a_{34}? - There is a 15% discount for a conference ticket if it is bought 5 to 29 days in advance. The discount is 30%, if the ticket is bought 30 to. 59 days in advance. The discount is 40%, if the ticket is bought 60 to B9 days in advance. Sheela paid Tk 252 for the conference ticket. If she had purchased the ticket one day later, she would have paid Tk 306. How many days in advance did she purchase the ticket? [with Figure 2]
- The table above shows the result of a survey of 100 voters who responded 'Favorable' or 'Unfavorable' or 'Not Sure' about their opinions about two proposals A and B, If the number of voters who did not respond 'Favorable for either proposal was 40, what was the number of voters who responded 'Favorable' for both proposals?
- What is the value of √(3/2) - √(2/3) ?
- When x is divided by 10, the quotient is y with a remainder of 4. If x and y both are positive integers, what is the remainder when x is divided by 5?
- The circle with center O has a circumference of 121V3. If AC is a diameter of the circle, what is the length of line segment AB? [With Figure 1]
- How many positive integers are both multiples of 5 and divisors of 75?
- Five integers in a set are written in ascending order. The median of this set is 17, and the average of the smallest and largest integers is 16. When the smallest and largest numbers are removed from the set, the average of the new smallest and largest integers is 15. What can be the minimum value of the largest of the original five integers?
- An UberX car charges Tk 40 as base fare, Tk 3.6 for each 0.2 of a kilometer and Tk 180/hour as the travelling time charge. What will be the fare for a 6 kilometer trip if the travelling time is 110 minutes?
- What is the units digit of the sum 3
^{44}+5^{43}+2^{12}? - Johny bought a book and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Tk 55 more, he would have made a profit of 40%. What was the cost of the book?
- In a working group of a class project, the number of boys is 3 fewer than twice the number of girls. If one boy were replaced by a girl, there would be an equal number of boys and girls in the group. How many students are in the class?
- A certain test consists of 8 sections with 25 questions numbered from 1 to 25, in each section. If a student answered all of the even-numbered questions correctly and 3/4 of the odd numbered questions correctly, what was the total number of questions he answered correctly?
- In a certain used-car lot, there are 4 times as many blue cars as green cars and 1/3 as many green cars as red cars. If there are 4q red cars in the lot, how many blue cars are in the lot?
- The length of each side of a triangle is an even number. If no two of the sides are equal, what is the smallest perimeter the triangle could have?
- A hiker walked for two days. On the second day the hiker walked four hours longer and his speed was 2 miles per hour faster than that of the first day. If during the two days he walked a total of 104 miles and spent a total of 20 hours, what was his average speed (miles/hour) on the first day?
- A tank currently holds 60 liters of water. If 30 liters of water is added to the tank when it is half full of water, the amount of water in the tank increases by 1/3. What is the maximum water holding capacity of the tank?
- This year Rana will save a certain amount of his income, and he will spend the rest. Next year Rana will have no income, but for each taka that he saves this year, he will have (1 + r) taka available to spend. In terms of r, what fraction of his income should Rana save this year so that next year the amount available for his spending will be equal to half the amount that he spends this year?
- XYZ company hired an accountant and 8 office assistants to do a job. The daily wage for the accountant is 4 times more than that of an office assistant. If the company paid a total of Tk m for the work, how much was paid to the accountant?
- A rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered. If the area of the field is 240 square feet, how many feet of fencing will be required?
- Abdul buys 40 pens at the market price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1% on market price, what is the percentage of profit?
- How many different 3 digit numbers can be formed, such that 1st and 3rd place should be filled up with odd numbers?
- Analytical Ability Questions 26 to 30: Read the following paragraph and answer the questions below; An experiment consists of eight steps - H, J, K, L, M, O, P, and S - that all must be performed. Three days are allotted for the experiment. Each step requires exactly one morning or else one afternoon to be performed, and at most two steps can be performed during any given morning or afternoon. The following restrictions must be observed: J must be performed on the second day. P must be performed in the morning. K and M must be performed at the same time. J must be performed at some time after M has been completed and at some time after O has been completed. O must be completed at some time before P and at some time before S. Which of the following must be completed at some time before J?
- At the earliest, P can be performed during
*which*of the following time periods? - If J is performed in the morning, which of the following must be performed on the first day?
- If H and L are both performed on the first day, which of the following must be performed on the third day?
- If the experiment is to be completed by the end of the second day, which of the following must be performed on the second day?
- Questions 31 to 36: Each problem consists of two statements. Decide whether the data in the statements are sufficient to answer the question. 31. The average of X and Y is What is the average of X, Y and Z? 1) 5 < Z < 8 2) 3Z > X
- In 2016, Rajshahi produced 2/3 of all the mangoes in Bangladesh. Data of two districts, Natore and Khulna, were not found. If all other districts combined produced 18 million tons of mangoes that year, how many million tons did Rajshahi produce in 2016? 1) Natore produced 176 of all the mangoes in Bangladesh. 2) The climate of Khulna is not very suitable for mangoes.
- From the profits of a certain investment, Faisal got 1/3 of the total profit and three of his friends each got 1/3 of the rest. What was the total profit? 1) Faisal and one of his friends got 5/9 of the total profit. 2) Two of Faisal's friends got a total of 48000 taka.
- Two tanks A and B are filled with petrol. If 100 liters of petrol were taken out from each tank, tank A would then contain 3 times as much petrol as tank B. What is the total amount of petrol in the two full tanks? 1) Tank B holds 600 liters less petrol than tank A. 2) Tank A holds 2.5 times more petrol than tank B.
- C is a circle with radius r. If DE is a chord in circle C, is DE < 6? 1) r = 5. 2) The distance from the center of C to DE is smaller than 4.
- Three friends - P, Q, R each contributed money to buy a computer. They bought the computer on sale for Tk 19500 plus 10% tax, thus saving Tk 2100. How much money will each of them get back from the initial contribution? 1) P contributed 50% more than what Q contributed. 2) P contributed less than R.
- Traditionally, the foundations of houses are made of concrete. A builder is experimenting with using a hard plastic polymer for foundations. A foundation made with the polymer is about the same price to construct and install a concrete foundation. Unlike concrete, the polymer will not block all water flow and is not prone to cracking with age. The builder argues that houses built with the polymer foundation will last longer. Which of the following must be studied in order to evaluate the argument presented above?
- Three workers P, Q, R can do a certain job at their own rate separately. If X represents the ratio of the work-speed of P and R, and Y represents the ratio of the work-speed of Q and R, such that X < Y and Y < 1, who is the fastest worker of the three?
- The number of people diagnosed with Chikungunya fever (which is contracted from the bite of an infected mosquito) in Dhaka this month is twice the number diagnosed last month. The authorities have concluded that measures to control the mosquito population have failed in this city. All of the following, if true, would cast doubt on the authorities conclusion except -
- Questions 40 to 45: Read the following paragraph and answer the questions below: An artist is planning to exhibit his paintings in an auditorium. Seven paintings - F, G, H, J, R, S and U are to be exhibited, three in the south hall and four in the north hall. Four of the paintings - F, G, H, J are oil paintings and three - R, S and U are acrylic paintings. The artist will satisfy the following requirements in setting up the exhibit: • Each hall will exhibit at most two acrylic paintings. • G cannot be exhibited in the same hall as U. • H cannot be exhibited in the same hall as R. Which of the following groups could be placed in the north hall?
- If U and R are placed in the north hall, which of the following groups must be placed in the south hall?
- If S and U are placed in the south hall, each of the following must be placed in the north hall EXCEPT ____
- If S and R are placed in the south hall, which of the following must also be placed in the south hall?
- If G and H are placed in the south hall, which of the following must also be placed in the south hall ?
- If F and G are placed in the north hall, which of the following groups could be placed in the south hall?
- English Language Questions 46 to 52: Replace the underlined segment of each sentence with the phrase/word which represents the most appropriate usage of grammar. in favor for a revised sales strategy.
__John had such bad a sense of humor__. that nothing ever appealed to him as funny.__It is mandatory that each of the workers have__- Who does this shop assistant think he is?
__He behaves as if he owns the grocery.__ - The bus stop is not
__far away__my office. - You shouldn't have left the door open. Suppose a burglar
__had broken__into the house. - The dangers of a storm
__includes__torrential rains, high winds and storm surges. - Questions 53 to 57: Read the following excerpt and answer the questions below: In 1917 Marcel Duchamp took an ordinary mass-produced urinal, named it Fountain, signed his name at the bottom, declared it a work of art and placed it in a Paris museum. Medieval people would not have bothered to even argue about it. Why waste oxygen on such utter nonsense? Yet in the modern humanist world, Duchamp's work is considered an important artistic milestone. In countless classrooms across the world, first-year art students are shown an image of Duchamp's Fountain and at a sign from the teacher, all hell breaks loose. It is art! No it isn't! Yes it is! No way! After letting the students release some steam, the teacher focuses the discussion by asking "What exactly is art? And how do we determine whether something is a work of art or not?" after a few more minutes of back and forth, the teacher steers the class in the right direction: "Art is anything people think is art, and beauty is in the eye of the beholder." If people think that a urinal is a beautiful work of art - then it is. What higher authority is there that can tell people they are wrong? Today, copies of Duchamp's masterpiece are presented in some of the most important museums in the world, including the San Francisco Museum of Modern Art, the National Gallery of Canada, the Tate Gallery in London and the Pompidou Centre in Paris. The copies are placed in the museums' showrooms, not in the lavatories. Such humanist approaches have had a deep impact on the economic field as well. Suppose Toyota decides to produce the perfect car. It sets up a committee of experts from various fields: it hires the best engineers and designers, brings together the finest physicists and economists, and even consults with several sociologists and psychologists. After five years of research and development, they unveil the perfect car. Millions of vehicles are produced, and shipped to car agencies across the world. Yet nobody buys the car. Does it mean that customers are making a mistake, and that they don't know what's good for them? No. In a free market, the customer is always right. If customers don't want it, it means that it is not a good car. It doesn't matter if all the engineers, mechanics, environmentalists and all the physiologists, priests and mullahs cry out from every pulpit that this is a wonderful car - if customers reject, it is a bad car. Nobody has the authority to tell customers that they are wrong. What does the expression - "Why waste oxygen on such utter nonsense?" mean in line 3 of the first paragraph?
- What does the phrase 'Release some steam' mean?
- How is paragraph 2 linked to paragraph 1?
- Which one of the following would be the most appropriate title of the excerpt presented above?
- According to the excerpt presented above, what is the main idea of the Humanist Approach?
- Questions 58 to 59: Select the pair of words that best expresses a relationship similar to that expressed in the original pair. Endure: Perseverance
- Careful: Fastidious
- Questions 60 to 65: Fill in the blanks with the word/pair of words which best fits the meaning of each sentence. The performance of the young artist was so ___ that it left an ___ impression on my mind and made me look forward to their future endeavors.
- Since the ___ of violent crimes has not decreased in years, it appears that more ___ consequences are necessary for those who commit these awful acts.
- Although John likes to be __ over the weekends, he is known as a very ___ employee at his workplace.
- Her husband's icy and aloof behavior told Nazia that her gifts had failed to ___ his anger.
- Because she was typically correct about life's difficult dilemmas, my grandmother was sought after for her __ by friends and family.
- Completely impenetrable to the layperson, the text was __ even to experts.
- Questions 66 to 70: Read the following excerpt and answer the questions below: Despite a long-term decline in the circus industry, Cirque du Soleil profitably increased revenue 22-fold over the last ten years by reinventing the circus. Rather than competing within the confines of the existing industry or trying to steal customers from rivals, Cirque developed uncontested market space that made the competition irrelevant. Cirque created what is called a blue ocean, a previously unknown market space. In blue oceans, demand is created rather than fought over. There is ample opportunity for growth that is both profitable and rapid. In red oceans existing companies in the industry compete to grab a greater share of limited demand. As the market space gets more crowded, prospects for profits and growth decline. Products turn into commodities, and increasing competition turns the water bloody There are two ways to create blue oceans. One is to launch completely new industries, as eBay did with online auctions. But it's much more common for a blue ocean to be created from within a red ocean when a company expands the boundaries of an existing industry. A blue ocean strategy encourages companies to focus less on their competitors and more on alternatives, while at the same time focusing less on their current customers and more on potential new customers. While competitive strategy would advise companies to enter attractive industries and avoid unattractive ones, blue oceans can be created in any industries, be they attractive or unattractive, stagnant or fast growing, high tech or low tech. It is all about creating new market space rather than letting the existing market structure confine strategic choices. Creating blue oceans builds brands. Along with Cirque, Southwest Airlines offers an example of successful blue ocean strategy execution. Southwest tapped into a customer base who preferred driving to air travel due to the lower cost. Instead of competing with other airlines, Southwest positioned itself as an alternative to cars and offered reduced prices, improved check-in times and increased flight frequency. Winners in a blue ocean strategy like Southwest, use 'value innovation' to drive their strategy. However, a blue ocean strategy is inherently disruptive and that makes it far riskier than a red ocean strategy. The primary purpose of the passage is to: -
- A blue-ocean strategy involves:
- A principal difference between a red ocean and a blue ocean is:
- All of the following are advantages of a blue ocean strategy except:
- A blue ocean strategy is called disruptive because: