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**SECTION I: MATHEMATICS (Questions 1 to 30)**Instruction:*For each of the questions below choose the best answer from the given alternatives.*Polash started 'a business on the first day of 2008. Qader joined the business of Polash on partnership contract with double investment of Polash on July 1 of 2008. Sohel on the first day of September 2008 joined the partnership business of Polash and Qader with thrice the investment of Polash. The firm earned a profit of Tk. 72 000 on 31' December 2008. What will be the share of profit of Sohel?- The cube on the right hand side below has a volume of 64 cubic inches. What is the length of the line segment AB? (figure not drawn to scale)
- Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
- Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist as his belt broke. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
- Sabina needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sabina has 15/16 cup of sugar. Does she have enough sugar or how much more does she need?
- Mr. Zaman is planning to buy a television after two years time from now. He expects that after two years he will need Tk. 12 100 to buy the television. How much money does Mr. Zaman need to invest now at 10% interest rate compounded annually?
- Which of the following statements is false?
- The average of 5 positive integers is 60. If the average of 3 of these integers is 67 what is the greatest possible value that one of the other two integers can have?
- Rakib Raja and Rajib paid a total of 369 taka for their dinner at a restaurant. If Rakib paid 2/3 of the total amount Raja paid 82 taka and Rajib paid the rest what fraction of the total amount did Rajib pay?
- A shopkeeper marks an article at such a price that after allowing a discount of 30% on the tag price (including tax) he makes a profit of 40%. If the tag price of the article including tax is Tk. 460 then the cost price of that article is -
- A man purchased equal number of bananas at two different rates-one at the rate of 8 taka per dozen and the other at the rate of 10 taka per dozen. After that he sold those bananas at an average rate of 11 taka per dozen and thus made a profit of 100 taka. How many dozens of banana did he purchase altogether?
- If one man or two women or three boys can finish a job in 66 days then find out the number of days in which that work can be done by one man two women and three boys.
- If -4 < x< 12 and -2 < y < 13 which of the following numbers represent the maximum value of (y-x)?
- Shabbir has a brother one-fourth of his age and a sister two times of his age. If the combined age of all the three siblings is twenty more than thrice the age of the youngest how old is Shabbir's sister?
- Farhana earns Tk 500 for every hour she works in a book store. Last week she worked for v hours. She purchased y kg of rice. Price of per kg rice is Tk.12.00. She saved the remaining amount. Which expression below shows her savings?
- A picnic was arranged by
*m*Total cost of the picnic was estimated to be y taka. Unfortunately z students withdrew their names from the picnic. How many more taka would each of the remaining students have to pay? - If CAC multiplied by DD equals to DDDD. and if D=7. then what is the value of A?
- The longest side of an isosceles right triangle measures 16 m. What is the perimeter of the triangle?
- Sonia travels to IBA from Uttara by car at a speed of 40 km per hour and returns to Uttara at a speed of 30 km per hour by an auto rickshaw. What is her average speed in the entire journey in km/hour?
- (4
^{41}+4^{42}+4^{43}) is divisible by - - If xy < 0 and y > 0 which of the following must be positive?
- If y is between 0 and 1 which of the following increases as y increases? i. (1-y<sup>2</sup>) ii. (y-1) iii. 1/y
^{2} - If y is an integer divisible by 3 but not by 2 then which of the following will never be an integer?
- Find out the perimeter of an equilateral triangle if its area is 64√3 m
^{2}. - The
**length of one side of the square in the picture below is 8. All the four circles are inscribed within**the square and of**equal radius. What is the area of the shaded region? (figure not drawn to scale)** - Noman is in charge of a special snake farm in Gaibandha. The farm has two types of snakes: Cobras and Pythons. After a recent stock taking he was surprised to find that 1/4 of the number of cobras in the farm was exactly equal to 1/6 of the total number of snakes in the farm. What is the ratio of the number of Pythons to the number of Cobras in the farm?
- In the figure below there is a circle inscribed inside a square. The length of one side of the square Is
**7**inches; determine the approximate area of the shaded region inside the square (figure not drawn to scale) - Arman wanted to have Tk 39
_{;}200 as interest after 5 years He has invested an amount in an account for 1 year at 8% interest rate From the 2^{nd}year he invested the principal amount in another account offering 10^{9}0 interest for 3 years At the beginning of the fifth year he invested the principal amount in another account at the rate of 11% What was the principal amount? (assume simple interest rate) - The potato traders have increased the original price of potatoes by 20% by creating a false shortage of supply Govt intervened into the scene and forced the traders to reduce their price by 20% of new price and stick to that. Currently the traders are selling potatoes with a loss/gain of what percentage over the original price?
- While travelling on a train Mr. Saif noticed three different numbers were written on the roof of the train He calculated that the average of the three numbers was
*V.*If one of the numbers was Z and another was Y what was the remaining number? **SECTION II: LANGUAGE & COMMUNICATION (Questions 31 to 60)**__Questions 31 to 36: Meaning in Context__**Instruction:***In each of the following sentences a word or a phrase is underlined. From among the five**alternatives that follow each of the sentences identify the one that best expresses the meaning of the**underlined word/phrase keeping in mind the context in which it is used.*An economic embargo is widely exercised by the influential countries to punish others on different socio-politico-strategic reasons.- A dream about
__Utopia__is nothing but a dream. - When having a problem it is best to
__dissect__the situation then act. - It was
__deplorable__to see how you lied in front of all who were present. - Everybody wondered how one could
__misconstrue__the intention of the initiator when the**proposal**was so detailed. - The government has decided to give the salary increment with a
__retrospective__effect. __Questions 37 to 41: Fill in the Gaps__**Instruction:***Select the word/pair of words that appropriately fill-in the gaps in each sentence*Critics of the novelist found his prose style as _______ as his ideas and insisted that his work was ________ originality and substance.- ________ the
*Ready Made Garment*industry back from the drastic fall shortly after the global economic downturn were innovative product design and very low cost of production. - Once the audience began to applaud and laugh at his jokes Ashfaq felt more ______ and his delivery became less______.
- Out of a myriad of TV shows this one seems to be different as it narrates the stories of the _____ news-makers from all walks of life by ____________ celebrities from the sports entertainment or business arenas.
- Social workers from the West visit some countries of Africa and Asia with ______ notions of the country as _____ country where many parents fail to provide their children with a meal even once a day.
__Questions 42 to 46: Appropriate Use of Words__**Instruction:***Identify the sentence(s) that is/are showing the correct use of the underlined word.*(i) The auctioneer was describing the__antique__in his hand to induce the audience to bid for it. (ii) Some of the things he inherited can actually be called__antiques!__(iii) It was absurd how they__antiquated__the chosen items to increase their value.- (i) There is a
__manifest__difference between the students of this institution and those studying elsewhere (ii) She__manifested__truthfully**that she**lacked any Interest in her studies (iii) After the accident the police asked for the passenger__manifest__of the ship. - (i) It is not right to leave it
**to fate. the well-being of the destitute (ii) We are**all awaiting the__fated__decision (iii) Many**choices in life must be left upon fate or chance.** - (i) The strong and the noble are always averse
**to deception of any form.****(ii) The**principal expressed that he__averted__people**who cheat in exams.****(iii) She has a strong**sea-food.__aversion__to - (i)
**In your conversation with**my supervisor I felt you were__deluded__to what**I mentioned in**confidence to you last night. (ii) It was our__delusive__belief that all individuals show self-control in the actual hour of crisis. (iii) Had she tried she could have easily__deluded__her captor. __For the next 7 questions: Sentence Correction__**Instruction:***For each of the following questions the underlined part of the sentence may contain problems In grammar construction word choice and/or punctuation. Part or whole of each sentence is underlined-Given are five alternatives of phrasing the underlined section. Alternative (A) always repeats tlw underlined section exactly. Choose the best answer choice.*The word*boycott*derives from the name of Charles C. Boycott an English land agent in Ireland that__was ostracized for refusing__to reduce rent.- As a result of his method for early music education Shinichi Suzuki
__has been known as one__of the world's great violin teachers. - The origins of most
__sports is unknown.__ **There are now many kinds of dictionaries such as a dictionary**of synonyms and antonyms a biographical dictionary**and a geographical dictionary with**pronunciations given.- According to the study as the body ages the chance that medications will cause harmful side effects
__are on the increase.__ - Six stories high with portholes for eyes and a spiral staircase in each hind leg
__is the elephant-shaped building known as "Lucy" which towered over Margate City. New Jersey since 1881.__