IBA Previous Year Questions

IBA Admission Test | 2013-2014

⏱ 20:00

- [PART I: Multiple Choice Questions (MCQs) 75 Questions: 75 Marks] SECTION I: MATHEMATICS (Questions 1 to 30) Event E is defined to be rolling an even number on a 6-sided die and Event F is defined to be rolling a 1, 2 or 3.Calculate the probability of rolling a die such that events E and F occur simultaneously on a single roll of the die.
- At 9:00 a.m. train A left the Airport Railway Station and two hours later train B left the same station on a parallel track. If train A averaged 60 kilometers per hour and train B averaged 75 kilometers per hour until B passed A, at what time did B pass A?
- Kalim is asked to write a study guide for a textbook. For his work, the publishing company is giving him a choice of a one-time payment of Tk 13,375 or Tk 2,000 plus 10% royalties per copy sold. If the proposed royalty rate results in a royalty of Tk 3.25 per study guide sold, how many study guides need to be sold for the total income received by Kalim to be the same from either choice?
- In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9 and 13 (factors of 585) and got the remainders 4, 8, 12 respectively. If he had divided the number by 585, what would have been the remainder?
- Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
- The integers between 1 and 100, inclusive, are put in list A if they are divisible by 2 and in list B if they are divisible by 3. How many integers in list A are not in list B?
- The mile meter of a highway bus misses every 11th mile being traveled. After a certain time,the meter shows that 1,251 miles were travelled. How many miles were actually travelled?
- A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m
^{3}) is - Two boats on the opposite shores of a river start moving towards each other. When they pass each other they are 750 yards from one shoreline. They each continue to the opposite shore, immediately turn around and start back. When they meet again they are 250 yards from the other shoreline. Each boat maintains a constant speed throughout. How wide is the river?
- Mr. Saif has n luxury apartments, where n is an integer such that 20
- A milk vendor has 2 cans of milk. The first can contains 25% water and the rest is milk. The second can contains 50% water. How much milk should he mix from each of the cans respectively so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5 in that mixture?
- A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 4 miles per day and it will take them two days, how many miles long is the route down the mountain?
- 8 litres are drawn from a container full of mango juice and is then filled with water. This operation is performed three more times. The ratio of the quantity of mango juice now left in container to that of water is 16: 81. How much mango juice did the container hold originally?
- What is the area of the triangle BCD?
- There are six different models who are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
- If the length of each sides of three square garden plots is increased by 50%, by what percent is the sum of the areas of the three plots increased?
- A restaurant meal had cost Tk 35.50 and there was no tax. If the service charge was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between Tk -
- Questions 18 to 20: Each of the following questions consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether: A) statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question. B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the Question. C)both statements taken together are sufficient to answer the question, but neither statement alone is sufficient D) each statement alone is sufficient. E) statements 1 and 2 together are not sufficient, and additional data is needed to answer the question. A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C? Statement 1: The distance between doors B and D is 10 meters.. Statement 2: The distance between A and C is 12 meters.
- After a long career, Mr. Iqbal is retiring. If there are 25 associates who contribute equally to a parting gift for Iqbal in an amount that is an integer, what is the total value of the parting gift? Statement 1: If four associates were fired for underperformance, the total value of the parting gift would have decreased by Tk 200. Statement 2: The value of the parting gift is greater than Tk 1,225 and less than Tk 1,275. 20. A die is rolled randomly on a circular board with a triangle inscribed in the circle. (All three vertices of the triangle are on the circumference of the circle.)
- What is the probability that the die comes to rest outside the triangular region? Statement 1: The hypotenuse of the triangle is the diameter of the circle. Statement 2: The radius of the circle is 2 units, and the area of the triangle is 4 square units.
- A certain recipe makes enough batter (a semi-liquid mixture of one or more grains used to prepare various foods) for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10inch pancakes, should the recipe make?
- Ajit, Bilash and Chinu start at the same time in the same direction to run around a circular stadium. Ajit completes a round in 252 seconds, Bilash in 308 seconds and Chinu in 198 seconds, all starting at the same point. After what time will they all be again at the starting point?
- If a rectangular block that is 4 inches by 4 inches by 10 inches is placed inside a right circular cylinder of radius 3 inches and height of 10 inches, the volume of the unoccupied portion of the cylinder is how many cubic inches?
- Mathematically, Force (F) is proportional to Mass (m) multiplied by Acceleration (a); i.e.symbolically, F ∝ ma. If an object increases its acceleration by 10%, and loses 5% of its mass, by how much will the resultant force change?
- Azhar plans to visit the National Museum once each month in 2014 except in March and May when he plans to go three times each month. A single admission costs Tk 5.50, a pass valid for unlimited visits in any 3 month period can be purchased for Tk 27, and an annual pass costs Tk 80. What is the least amount that Azhar can spend for his intended number of visits?
- A certain integer n is a multiple of both 5 and 9. Which of the following must be true? I. n is an odd integer II. n is equal to 45 III. n is a multiple of 15
- A company paid Tk. 500,000 in merit raises to employees whose performance were rated A,B, or C. Each employee rated A received twice the amount of the raise that was paid to each employee rated C, each employee rated B received 1.5 times the amount of the raise that was paid to each employee rated C. If 50 workers were rated A, 100 were rated B, and 150 were rated C, how much was the raise paid to each employee rated A?
- 6 men and 8 boys can finish a work in 10 days while 26 men and 48 boys can do the same in 2 days. How many days will 15 men and 20 boys take in completing the same work?
- A store charges Tk 52 for a video game. This price is 30% greater than the store's cost to buy the game from its supplier. As an incentive to the store's clerks, the manager allows a clerk to purchase the video game for 10% less than the store's cost. How much would a store clerk have to pay for this video game?
- On a 300-mile trip, a car went 30 miles per hour for the first 100 miles, 50 miles per hour for the second 100 miles, and 60 miles per hour for the third 100 miles. For what fractional part of the time taken for the entire 300-mile trip was the car going 30 miles per hour?
- SECTION II: LANGUAGE & COMMUNICATION (Questions 31 to 60) Questions 31 to 35:Identify the sentence(s) that is/are showing the correct use of the underlined words. The word: scathe (i) We were advised to buy a lawn mower and get rid of this scathe once and for all! (ii) With perseverance and hard work, you are earning quite a scathing reputation, (iii) It was not the judgment, but his scathing remarks that had truly hurt.
- The word: ash (i) When he returned, he was beyond recognition - with a face ashen and haggard, (ii) It was reported that the new insecticide is taking a toll on the ash trees. (iii) The phoenix is a mythical bird that is reborn from its ashes.
- The word: privy (i) The parties are surely holding privy meetings with high-level representatives, with the citizens being none the wiser. (ii) Don't point your finger at me! I was not privy to the matter of employee downsizing myself, (iii) In our country home, the privy is not attached to our main house.
- The word: credit (i) You have earned a medal in every competition you have participated in. You are a credit to our school. (ii) There are too many unpaid bills, I don't think we can accredit your account any further, (iii) The bank is crediting your account for the full amount.
- The word: fate (i) It is not right to leave the well-being of the destitute to fate. (ii) We are all awaiting the fated decision, (iii) Many choices in life must be left upon fate or chance.
- Questions 36 to 40:In the questions below, each passage consists of six sentences. The first and sixth sentences are given in the beginning as (S1) & (S6) respectively. The middle four sentences of each passage have been removed and jumbled up. These are labeled as P, Q, R and S. Find out the proper order for the four sentences. S1: For some time in his youth Abraham Lincoln was manager of a shop. S6: Never before had Lincoln had so much time for reading as he had then. P: Then a chance customer would come. Q: Young Lincoln's way of keeping shop was entirely unlike anyone else's. R: Lincoln would jump up and attend to his/her needs and then revert to his reading. S: He used to lie full length on the counter of the shop eagerly reading a book. The proper sequence should be:
- S1: Smoke oozed up between the planks. S6: Most people bore the shock bravely. P: Passengers were told to be ready to quit the ship. Q : The rising gale fanned the smoldering fire. R: Everyone now knew there was fire on board. S: Flames broke out here and there. The proper sequence should be:
- S1: Growing up means not only getting larger, but also using our sense and our brain to become more aware of things around us. S6: In other words, we must develop and use our ability to reason, because the destruction or the preservation of the places in which we live depend on us. P: Not only does he have a memory but he is also able to think and reason. Q : In this, man differs from all other animals. R : Before we spray our roadside plants or throw sewage into our rivers, we should pause to think what the results of our action are likely to be. S: This is to say, he is able to plan what he is going to do in the light of his experience before he does it. The proper sequence should be:
- S1: In the middle of one side of the square sits the Chairman of the committee, the most important person in the room. S6: From the moment its members meet, it begins to have a sort of nebulous life of its own. P: For a committee is not just a mere collection of individuals. Q : On him rests much of the responsibility for the success or failure of the committee. R: While this is happening we have an opportunity to get the 'feel' of this committee. S: As the meeting opens, he runs briskly through a number of formalities. The proper sequence should be:
- S1: Since the sixties there has been an increasing interest in neurophysiology, which deals with the neural bases of mental activity and behavior. S6: So far the journal has published the mixture of articles including reports and investigations. P: It has format which is very similar to that of Brain and Language, a sister journal. Q: Since then, a number of journals devoted entirely to this area of research have appeared. R: Before the 1960's when this field was the concern of a small number of investigators, research articles were scattered in various neurological journals. S: Brain and cognition is one such journal. The proper sequence should be:
- Questions 41 to 44 - Reading comprehension: Read the following passage and select the best answer for each of the questions that follow. At this stage of civilization, when many nations are brought in to close and vital contact for good and evil, it is essential, as never before, that their gross ignorance of one another should be diminished, that they should begin to understand a little of one another's historical experience and resulting mentality. It is the fault of the English to expect the people of other countries to react as they do, to political and international situations. Our genuine goodwill and good intentions are often brought to nothing, because we expect other people to be like us. This would be corrected if we knew the history, not necessarily in detail but in broad outlines, of the social and political conditions which have given to each nation its present character. According to the author 'Mentality' of a nation is mainly product of it's -
- The need for a greater understanding between nations -
- The character of a nation is the result of its -
- According to the author his countrymen should -
- The following sentences in each of the questions describe the same event. Select the most grammatically correct choice.
- The following sentences in each of the questions describe the same event. Select the most grammatically correct choice.
- The following sentences in each of the questions describe the same event. Select the most grammatically correct choice.
- Questions 50 to 54 - Reading comprehension: Read the following passage and select the best answer for each of the questions that follow. But man is not destined to vanish. He can be killed, but he cannot be destroyed, because his soul is deathless and his spirit is irrepressible. Therefore, though the situation seems dark in the context of the confrontation between the superpowers, the silver lining is provided by the amazing phenomenon; that the very nations which have spent incalculable resources and energy for the production of deadly weapons are desperately trying to find out how they might never be used. They threaten each other, intimidate each other and go to the brink, but before the total hour arrives they withdraw from the brink. The main point from the author's view is that -
- The phrase 'Go to the brink' in the passage means -
- Irrepressible' in the second line means -
- In the author's opinion -
- A suitable title for the above passage is -
- Questions 55 to 60: For each question, select the word(s)/phrase(s) that appropriately fill(s) in the gaps. The study focused on the extent of the country's _ of import and export processes _ its access to efficient maritime services.
- If every move you make is being ___, liberty is
- Life is unpredictable, in a matter of seconds, the mighty are __ helpless; tranquility - turbulent; the familiar becomes alien.
- The U.S.A is __ the most inventive country of the past century, a fact_ by not only the sheer number of innovations originating from there but also by popular opinion.
- The two countries have begun talks on a landmark investment agreement, a positive move_ - between the two sides.
- Because of its inclination to____, most Indian art is ___ Japanese art, where symbols have been minimized and meaning has been conveyed by the merest suggestion.
- SECTION III: ANALYTICAL ABILITY (Questions 61 to 75) Questions 61 to 64: Read the situation below and select the best answer for each of the questions that follow. An employee has been assigned the task of allotting offices to six of the staff members. The offices are numbered 1 - 6. The offices are arranged in a row and they are separated from each other by six foot high dividers. Hence voices, sounds and cigarette smoke flow easily from one office to another. Ms. Ruby needs to use the telephone quite often throughout the day. Mr. Milon and Mr. Belal need adjacent offices as they need to consult each other often while working. Ms. Helen is a senior employee and has to be allotted the office number 5, having the biggest window. Mr. Didar requires silence in the offices next to his. Mr. Tutul, Mr. Milon and Mr. Didar are all smokers. Ms. Helen is allergic to tobacco smoke and wants the offices next to hers to be occupied by non-smokers. Unless specifically stated all the employees maintain an atmosphere of silence during office hours. The ideal candidate to occupy the office furthest from Mr. Belal would be -
- The three employees who are smokers should be seated in the offices -
- The ideal office for Mr. Milon would be -
- In the event of which occurrence, within a period of one month since the assignment of the offices, would a request for a change in office be put forth by one or more employees?
- "Fifty percent of our products are sold in rural area, fifty-eight percent are sold in semi urban area, sixty-five percent of the employees are from rural area." is the statement of a FMCG producer. Which of the following statements can be considered true based on the above?
- Here is a proud proclamation of a consumer durable producer: "We do not advertise, our product speaks for itself". Which of the following statements, if true, would support and strengthen the statement?
- There are 75 girls in a row. The first three have red ribbons in their hair, and the next two have blue ribbons in their hair. The next three have red, and the next two have blue. This pattern continues all the way down the row. What color ribbon do girls in 68th, 69th and 70th position respectively, have in their hair?
- Questions 68 to 70: Read the situation below and select the best answer for each of the questions that follow, 'A and 'B are brothers. They are married to 'C and 'D'. 'F' is the father-in-law of 'D'. 'N, daughter of 'D' calls 'A' uncle. 'M is cousin of 'N, 'L is brother of 'D'. I, is mother of 'M and sister-in-law of 'D'. 'Z is granddaughter of 'E and calls 'A' papa. What is the relation of E to D?
- What is the relation of E to M?
- How is L related to B?
- A greater number of newspapers are sold in Town S than in Town T. Therefore, the citizens of town S are better informed about major world events than are the citizens of Town T. Each of the following, if true, weakens the conclusion above except:
- New employees of Ramna Industries are complaining about discomfort caused by excessive noise inside Ramona's factory. Experienced Ramna factory employees, however, do not suffer any such discomfort. Although Ramna accepts responsibility for the health of its employees, it has decided not to issue earplugs to new employees. - Ramna reasoned that the new employees would also become accustomed to the noise without using earplugs. Which of the following, if true, indicates a flaw in Ramna's décision not to issue earplugs to new employees?
- Most consumers do not get much use out of the sports equipment they purchase. For example, seventeen percent of the adults in Dhaka own jogging shoes, but only forty-five percent of the owners jog more than once a year, and only seventeen percent jog more than once a week. Which of the following, if true, casts most doubt on the claim that most consumers get little use out of the sports equipment they purchase?
- Questions 74 to 75:Read the situation below and select the best answer for each of the questions that follow. On a particular Saturday, a student will perform six activities— grocery shopping, hedge trimming, jogging, kitchen cleaning, laundry, and motorbike servicing. Each activity will be performed once, one at a time. The order in which the activities are performed is subject to the following conditions: • Grocery shopping has to be done immediately after hedge trimming • Kitchen cleaning has to be done before grocery shopping. • Motorbike servicing has to be done before laundry. • Motorbike servicing has to be done either immediately before or immediately after jogging. If laundry is done before kitchen cleaning, then hedge trimming must be the -
- Which one of the following, if substituted for the condition that motorbike servicing has to be done before laundry, would have the same effect in determining the order of the student's activities?