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**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 x**^{2}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**Ordering the 3 numbers numerically from highest to lowest and then selecting the middle number.****Dividing each of the numbers by 3 and then adding the result together.****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 –
__For the next 5 questions: 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
__For the next 5 questions____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
: Reading comprehension__For the next 2 questions__**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?****It is extremely****difficult to create models that account for both economic and social development.****Models****of economic and social development would be improved by the inclusion of adequate descriptions of national character.****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?**__For the next 5 questions: 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?**