IBA Previous Year Questions

IBA Admission Test | 2015-2016

⏱ 20:00

- PART I: Multiple Choice Questions (MCQs) Section I: English Language 30 Questions: 30 Marks Questions 1 to 4 Instructions: Read the following sentences and selection that corrects the underlined sections. If the underlined sections are correct as written, choose option A. The gas-filled balloon
__rose in the air.__ - Do you know that these gloves
__have lay on__the bureau all week? - If the books
__have been cataloged__last week. __Someone gives the school gerbils__every year.- Questions 5 to 9 Instructions: A related pair of words in capital letters is followed by five pairs of words. Select the pair of words that best
__expresses a relationship similar__to that expressed in the original pair of words. FLU : MALADY - BASKETBALL : HOOP
- LETHARGIC : ENERGY
- DIALOGUE : PLAYWRIGHT
- BELLOW : FURY
- Questions 10 to 13 Instructions: For each question, select the word(s)/phrase(s) that appropriately fill(s) in the gap(s). The investors were not fooled by the manager's ___ proposal; his plan was obviously ___.
- A comedian's biggest ___ is that his anecdotes will become - .
- The __ of the committee must reflect the purpose - created.
- The management’s __ from fiscal __ has led the company to bankruptcy.
- Choose the option where the suffix or prefix has been INCORRECTLY used.
- Choose the option where the suffix or prefix has been INCORRECTLY used.
- Choose the option where the suffix or prefix has been INCORRECTLY used.
- Choose the option where the suffix or prefix has been INCORRECTLY used.
- Questions 18 to 21 Instructions: In each of the following sentences, there is one word missing. Identify the missing word from the given choices. A number of clinical trials ____ shown regular exercise to be strongly linked to heightened immunity.
- You need to hear both sides of the story before making your mind.
- The spy managed to pass on the message though the police were watchful.
- Due to an accident on the flyover, traffic was delayed nearly an hour.
- Questions 22 to 23 Instructions: Choose the most appropriate SYNONYM to the word in capital letters. UNRAVEL
- FULMINATE
- Questions 24 to 25 Instructions: Choose the most appropriate ANTONYM to the word in capital letters. SMOTHER
- DEFIANCE
- Questions 26 to 30 Instructions: Read the following passage and select the best answer for each of the questions that follow. Most educated people of the eighteenth century, such as the Founding Fathers, subscribed to Natural Rights Theory, the idea that every human being has a considerable number of innate rights, simply by virtue of being a human being when the US Constitution was sent to the states for ratification, many at that time felt that the federal government outlined by the constitution would be too strong, and that the rights of individual citizens against the government had to be clarified. This led to the Bill of Right, the first ten amendments, which were ratified at the same time as the Constitution. The first eight of these amendments list specific rights of citizens. Some leaders feared that listing some rights could be interpreted to mean that citizens didn't have other, unlisted rights. Toward this end, James Madison and others produced the Ninth Amendment, which states; the fact that certain rights are listed in the Constitution shall not be construed to imply that other rights of the people are denied. Constitutional traditionalists interpret the Ninth Amendment as a rule for reading the rest of the constitution. They would argue that “Ninth Amendment rights” are a misconceived notion: the amendment does not, by itself, create federally enforceable rights. In particular, this strict reasoning would be opposed to the creation of any new rights based on the amendment. Rather, according to this view, the amendment merely protects those rights that citizens already have, whether they are explicitly listed in the Constitution or simply implicit in people's lives and in American tradition. More liberal interpreters of the US Constitution have a much more expansive view of the Ninth Amendment. In their view, the Ninth Amendment guarantees to American citizens a vast universe of potential rights, some of which we have enjoyed for two centuries, and others that the Founding Fathers could not possibly have conceived. These scholars point out that some rights, such as voting rights of women or minorities, were not necessarily viewed as rights by the majority of citizens in late eighteenth century America, but are taken as fundamental and unquestionable in modern America. While those rights cited are protected specifically by other amendments and laws, the argument asserts that other unlisted rights also could evolve from unthinkable to perfectly acceptable, and the Ninth Amendment would protect these as-yet undefined rights. The author cites the scholars referring to “voting rights of women or minorities” in order to -
- Constitutional scholars of both the traditionalist and liberal views would agree that ‘Ninth Amendment rights”......
- According to the passage, what would the Ninth Amendment imply about a right to “a trial by jury”, guaranteed in the Seventh Amendment of the US Constitution?
- In the view of James Madison and the other Founding Fathers, the Ninth Amendment limits the power of the central Federal government by ……….
- The primary purpose of the passage is to ......
- Section II: Mathematics 30 Questions: 30 Marks Rahat can complete a task in 30 minutes, working together with his brother Mominul, he can complete the same task in 20 minutes. How long would it take for Muminul working along to complete the task?
- A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She guts through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?
- The probability of rolling any number on a weighted 6-sided die, with faces numbered 1 through 6, is directly proportional to the number rolled. What is the probability of getting 5, if the die is rolled only once?
- If x is a positive integer, what is the units digit of (24)
^{5+2x}(36)^{6}(17)^{3}? - The sum of all solutions for x in the equation x
^{2}-8X+21=[x-4]+5 is equal to: - The length of one edge of a cube equals 4. What is the distance between the center of the cube and one of its vertices?
- The expression (2+(2+(2+(2+(2+ ...... ))))) extends to an infinite number of roots. [with figure 2]
- When x is divided by 13, the answer is y with a remainder of 3. When x is divided by 7, the answer is z with a remainder of 3. If x, y, and z are all possible integers, what is the remainder of yz/13?
- What is the next-highest prime number after 67?
- Which one of the following is the minimum value of the sum of two integers whose product is 36?
- 2pq5 is a four digit number divisible by 25. If the number formed from the two digits pq is a multiple of 13. Then pq =
- The total income of Mr. Teng in the years 2003, 2004, and 2005 was BDT 36,400. His income had increased by 20% each year. What was his income (BDT) in 2005?
- In the sequence an, the n-th term is defined as (a
_{N-1}-1)^{2}?. If a_{3}=64, then what is the vale of a_{1}? - An equilateral triangle is inscribed in a circle. If the radius of the circle is 2, what is the area of the triangle?
- There are 4 women and 4 men sitting in a waiting room for a job interview. If two of the applicants are selected at random, what is the probability that both will be women?
- If n is an integer divisible by 6 but not by 4, then which of the following CANNOT be an integer?
- Ishtiaque completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
- If the isosceles triangle ABC has two sides with lengths 3 cm and 9 cm, then what is the possible length of the third side?
- 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?
- A bicycle has two wheels (one large and one small) of 120 cm and 40 cm in diameter respectively. When the large wheel makes 10 revolutions, how many revolutions does the small wheel make in that time?
- An ambulance travels 10 miles at a speed of 75 miles per hour. How fast must the ambulance travel on the return trip if the round-trip travel time is to be 20 minutes?
- If (a + a + a) = (b + b + b + b) and (a + b) = 7, then what is the value of (a – b)?
- A drink contains 20% cranberry juice, 20% raspberry juice and the rest is apple juice. You added 250 ml of water to 750 ml of the drink. Now, what is the ratio of water to apple juice in the drink?
- If a and b are integers greater than 100 such that a + b = 300, which of the following could be the exact ratio of a to b?
- Asif buys 100 shares of stock at Tk. 100 per share. The price goes up by 10% and he sells 50 shares. Then, price drops by 10% and he sells his remaining 50 shares. How much did he get for the last 50 shares?
- The smallest of three consecutive even integers is 8 less than three times the largest. What is the largest of these integers?
- What percentage of numbers from 11 to 90 has 0 or 5 in the unit's digit?
- Questions 58 to 60 Instructions: Each question consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. At least 100 students in a school study Spanish, 15% of the students who study French also study Spanish. Do more students study French than Spanish? (1) 6 students study both French and Spanish. (2) 5% of the students who study Spanish also study French.
- If x, y and z are different integers, is x divisible by 11? (1) xyz is divisible by 22 and 33. (2) yz is divisible by 72
- Ehsan and Arnob have the same birthday. Arnob's age now is the same as Ehsan's age was when Arnob was half as old as Ehsan is now. What is Ehsan's age now? (1) Ehsan is currently four times as old as he was when Arnob was born. (2) Ehsan was six years old when Arnob was born. (1) Ehsan is currently four times as old as he was when Arnob was born. (2) Ehsan was six years old when Arnob was born.
- 15 Questions: 15 Marks Section III: Analytical Ability Find the number of triangles in the given figure.
- What is the missing letter in the following box?
- The day before the day before yesterday is three days after Saturday. What day is it today?
- Questions 64 to 68 A group of six friends – Jack, Kimberly, Lee, Melissa, Nick, Olivia - go out to eat at a restaurant. They are seated evenly around a circular table based on the following conditions: • Melissa does not sit next to Jack. • Jack sits next to Olivia or Nick, but not both of them. • Kimberly sits next to Nick. • If Olivia sits next to Jack, then she doesn't sit next to Lee. If Jack sits next to Kimberly, then which one of the following pairs of people must be seated next to each other?
- If Jack and Olivia sit next to each other, then Lee CANNOT sit next to both:
- If Jack sits next to Olivia, then which of the following is a complete and accurate list of the people who could also sit next to Jack?
- Which of the following must be false if Jack sits next to Nick? I. Kimberly sits next to Lee. II. Nick sits directly opposite Melissa. III. Lee sits next to Jack and Olivia.
- If Olivia sits next to Nick, then which of the following must be true:
- Samuel is obviously a bad fisherman. During the past season, in which he and the five members of his team spent four months on a boat together off Dutch Harbor, he caught fewer fish than any of his teammates. Which of the following, if true, most weakens the argument above?
- As a result of implementing an experimental farming system that combined aggressive new fertilization, deep irrigation, and speculative pesticides, the yield on crops at a farm in central California grew consistently and considerably over the past six years. However, yields this year unexpectedly plummeted, causing the farm's owners considerable financial difficulties. Which of the following statements, if true best explains the unexpected drop in yield.
- Questions 71 to 75 There are five people – Sarah, Bill, Eric, Molly, Nick - scheduled for appointments at a doctor's office on a specific morning, plus a walk-in, Katie. There are five appointment slots: 9:30, 10:00, 11:00, and 11:30. The following conditions apply. • Katie will only get a slot if one of the five people with an appointment does not show up. • Sarah is not scheduled for 10:00 or 11:00. • Eric is scheduled for 11:30. • Molly's appointment is immediately before Nick's. Which one of the following is a possible sequence of the 5 people's appointments?
- If Sarah's appointment is at 10:30, which one of the following must be false?
- If Bill does not show up for his appointment, which possible appointment slot has opened up for Katie to take?
- If Molly's appointment is at 10:00, then Bill's appointment must be at:
- If Eric switches appointment times so that his appointment is now at 11:00, if none of the other conditions change, who now has the 11:30 appointment slot?