1 . x + y = 3, x – y = 1 হলে, 4xy এর মান-
- A. 4
- B. 2
- C. -8
- D. 8
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2 . If 2% of x is 0.03, then x equals to-/x এর ২% এর মান ০.০৩ হলে x এর মান কত?
- A. 150
- B. 66.67
- C. 15
- D. 6.67
- D. 1.5
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3 . A= {1, 3, 5, 7} হলে A এর প্রকৃত উপসেট কয়টি?
- A. ৪
- B. ৮
- C. ১৫
- D. ১৮
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4 . If a + b = √5 and a - b = √3, then a2 + b2 =?
- A. √8
- B. 6
- C. 4
- D. 4√2
- D. 8
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5 . If x = 5y = 16 and x = -3, then the value of y is--
- A. -24
- B. -8
- C. -2
- D. 2
- D. -0.6
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6 . Which of the following is the largest? √0.3, 1/3, 2/5, 3/7, 4/11
- A. 2/5
- B. 1/3
- C. 3/7
- D. 4/11
- D. √0.3
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7 . In MS-Excel, the summation of the cells D1, D2, D3, D4, D5 equates--
- A. =SUM(D1:D2:D3:D4:D5)
- B. = SUM (D1 : D5)
- C. = SUM (D1 ; D5)
- D. = (D1 : D5)
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8 . If the sum of 5, 8, 12 and 15 is equal to the sum of 3, 4, x and x+3, what is the value of x?
- A. 14
- B. 15
- C. 16
- D. 17
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9 . A= {2,3}, B={3,4} হলে AUB = কত?
- A. {2,2,3}
- B. {2,2,3}
- C. {2,3,4}
- D. {3}
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10 . If a:b=1:3, b:c=5:7 then what is the value of a:b:c?
- A. 3:5:7
- B. 5:9:15
- C. 5:15:21
- D. 4:13:24
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11 . The numbers 2,3,5 and x have an average equal to 4 . What is x?
- A. 4
- B. 5
- C. 6
- D. 7
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12 . If an investor gets Tk. 19500 as interest after 5 years on his savings of Tk. 13,000. what is the rate of interest ?
- A. 8%
- B. 5%
- C. 10%
- D. 30%
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13 . The profit earned after selling an article for Tk. 3,362 is the same as the loss incurred after selling the article for Tk. 2,36. At what selling price will a trader make a 20% profit on this article?
- A. 4639.4
- B. 4769.6
- C. 4830.8
- D. None of these
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14 . Pick the odd one out - 331, 482, 551, 263, 383, 242, 111
- A. 263
- B. 383
- C. 242
- D. 111
- D. None of them
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15 . How many different six-digit numbers can be formed using all of the following digits : 3, 3, 4, 4, 4, 5 ........
- A. 25
- B. 40
- C. 50
- D. 60
- D. None of them
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16 . In a set of three numbers, the average of first two numbers is 2. The average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers ?
- A. 3
- B. 6
- C. 9
- D. 24
- D. None of them
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17 . Which of these numbers are least like the others : 3, 5, 11, 14, 17, 21.
- A. 5
- B. 11
- C. 14
- D. 17
- D. 21
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18 . Insert the missing number : 16, 33, 67, 135, 271, (...)
- A. 371
- B. 406
- C. 451
- D. 505
- D. 543
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19 . The numbers 13,7 and 11 would enjoy the company of which of these numbers : 10, 15, 17, 12, 18 ?
- A. 10
- B. 15
- C. 17
- D. 12
- D. 18
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20 . Shirin Ebadi , who won the Nobel Peace Prize in 2003, is from :
- A. Iraq
- B. Nigeria
- C. Iran
- D. Libya
- D. Egypt
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21 . (-3,-4) বিন্দুটি কোন চতুর্ভাগে অবস্থিত?
- A. ১ম
- B. ২য়
- C. ৩য়
- D. ৪র্থ
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22 . 3, 5, 8, 10, 18, 20 ধারাটির পরবর্তী সংখ্যা কত?
- A. 28
- B. 30
- C. 34
- D. 38
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23 . In line 3, startling is nearest in meaning to
- A. upsetting
- B. beginning
- C. dampening
- D. enchanting
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24 . 1, 3, 11, 43 _______ ক্রমানুসারে পরবর্তী সংখ্যাটি কত?
- A. 161
- B. 171
- C. 181
- D. 191
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25 . A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and p. He found the mean to be 12. What should be the number in place of p?
- A. 7
- B. 3
- C. 17
- D. 31
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26 . Find the area of the triangle formed by the points located at (5,2), (-9,-3) and (-3,-5).
- A. 27 square unit
- B. 29 square unit
- C. 31 square unit
- D. 20 square unit
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27 . (-3, 4) বিন্দুটি কোন চতুর্থভাগে অবস্থিত?
- A. প্রথম
- B. দ্বিতীয়
- C. তৃতীয়
- D. চতুর্থ
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28 . If 2x - y = 10 and x/y = 3, then x = ?
- A. a - 10
- B. 2
- C. 4
- D. 6
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29 . If the sum of (3, 7 and x) is 18, then the average of (3, 7 and x) is--
- A. 6
- B. 7
- C. 8
- D. 9
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30 . If a certain integer x is devided by 4, the remainder is 3, then all of the folowing could be an integer except--
- A. x/11
- B. x/23
- C. x/8
- D. All of above
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31 . If k is divisible by 3, 9 and 12, which of the following is also divisible by these numbers?
- A. k + 15
- B. k + 35
- C. k + 45
- D. k + 72
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32 . Which of the following is the lowest positive integer divisible by 2, 3, 4, 5, 6, 7, 8 and 9?
- A. 15120
- B. 3024
- C. 2520
- D. 1890
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33 . 1, 2, 3, 5, 7, ......
- A. 9
- B. 11
- C. 14
- D. 16
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34 . 3, 9, 5, 11, 7, ...
- A. 9
- B. 10
- C. 13
- D. 15
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35 . What is the next number in the series? 8, 11, 17, 24, 29, 53, 78, ....
- A. 102
- B. 101
- C. 75
- D. 83
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36 . Find the next number in the series: 3, 6, 4, 9, 5, 12, 6, ...
- A. 7
- B. 9
- C. 12
- D. 15
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37 . What is the next number in the series? 5, 3, 1, 7, 3, 2, 9, 5, ...
- A. 1
- B. 5
- C. 4
- D. 3
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38 . Find the missing number in the series 3, 6, 18, 72, 360, --
- A. 720
- B. 1440
- C. 2160
- D. None of the above
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39 . ABCD is a square, EFGH is arectangle, AB = 3, EF = 4, FG = 6. Determine the area of the region outside of ABCD and inside of EFGH.
- A. 24
- B. 9
- C. 18
- D. 15
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40 . দুটি ধনাত্মক সংখ্যার বর্গের অন্তর 8, গুণফল 3, সংখ্যা দুটির বর্গের সমষ্টি কত?
- A. 8
- B. 10
- C. 13
- D. 25
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41 . If x : y = 5 : 3, then (8x – 5y) : (8x + 5y) =?
- A. 3 : 12
- B. 8 : 13
- C. 3 : 11
- D. 5 : 11
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42 . If x : y = 2 : 3, and m : n = 9 : 4, find the ratio xn : ym.
- A. 27 : 8
- B. 3 : 2
- C. 2 : 3
- D. 8 : 27
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43 . In the figure below ACDH and BCEF are rectangles, AH = 3, GH = 3, GF = 3 and FE = 6, what is the area of BCDG?
- A. 5
- B. 10
- C. 15
- D. 18
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44 . If abx -1 = bax -3, then x is equal to-
- A. 1
- B. 1/2
- C. 7/2
- D. 2
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45 . If x + y > 5 and x _ y > 3, then which of the following gives all & only possible values of x?
- A. x > 4
- B. x < 5
- C. x > 5
- D. x < 3
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46 . If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =?
- A. 10/9
- B. 3/2
- C. 20/11
- D. 30/11
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47 . If x + y > 4 and x > 3, then y > 1 is true.
- A. always
- B. only if x < 0
- C. only if x > 0
- D. only if x = 0
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48 . If x + 2y ≤ 3, x > 0 and y > 0, then one of the solutions is--
- A. x = -1, y = 2
- B. x = 2, y = 1
- C. x = 1, y = 1
- D. x = 0, y = 0
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49 . 99999 এর সঙ্গে কোন ক্ষুদ্রতম সংখ্যা যোগ করলে যোগফল 2,3,4,5 এবং 6 দ্বারা নিঃশেষে বিভাজ্য হবে?
- A. 21
- B. 39
- C. 33
- D. 29
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50 . If x = -3, then the value of -3x2 is--
- A. -27
- B. -18
- C. 27
- D. 18
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51 . 3, 9, 4 এর ৪র্থ সমানুপাতিক কত?
- A. 12
- B. 16
- C. 18
- D. 20
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52 . নিচের কোন সমীকরণের উপর (1, -1) ও (3, 5) বিন্দুদ্বয় অবস্থিয়?
- A. 2y = 2x - 4
- B. 2y = 6x - 8
- C. 2y = 4x - 6
- D. 2y = 2x + 8
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53 . a = 3, m = 2, n = 1 হলে (a^m)^n এর মান কত?
- A. 9
- B. 12
- C. 3
- D. 4
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54 . 16, 33, 67, 135 ... ধারাটির পরবর্তী পদ কত?
- A. 202
- B. 270
- C. 271
- D. 275
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55 . 3, 6, 11, 18, 27 - ধারাটির 21 তম পদটিকত?
- A. 443
- B. 434
- C. 834
- D. 883
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56 . সাতটি সরলরেখার দৈর্ঘ্য যথাক্রমে 1, 2, 3, 4, 5, 6 ও 7 সেমি। কয়টি ক্ষেত্রে এদের চারটি বাহু দিয়ে চতুর্ভুজ অংকন সম্ভব নয়?
- A. 2
- B. 3
- C. 4
- D. 5
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57 . P(A) = 1/3, P(B) = 3/4, A ও B স্বাধীন হলে, P(AUB) এর মান কত?
- A. 3/4
- B. 1/3
- C. 5/6
- D. এর কোনোটিই নয়
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58 . A = {0,2,3,7,9} B = {1,5,6,8,11} C = {2,5,7,8,12,14} হলে (A∩B)∪(A∩C) হবে--
- A. {2,3,5,7}
- B. {4,7,9}
- C. {2,7}
- D. {0,2,3,8}
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59 . যদি U = {0,1,2,3,4,5,6,7,8,9}, A = {0,1,2,3,4}, B = {2,3,4,5,6,7} তাহলে U∩(A∪B)' এর মান নির্নয় করুন?
- A. {3,7,9}
- B. {2,6,8}
- C. {8,9}
- D. {0,1,5,6}
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60 . U ={1,2,3,4,5,6}, A = {1,2,3}, B = {2,4,6} হলে A'∩B' হবে--
- A. {1,4}
- B. {5,6}
- C. {5}
- D. {6}
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61 . সার্বিক সেট U ={1,2,3,4,5,6}, A = {1,3,5}, B = {3,5,6} হলে A'∩B' হবে--
- A. {1,4}
- B. {2,4}
- C. {2,3,5}
- D. {2,4,6}
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62 . সার্বিক সেট U ={1,2,3,4,5}, A = {1,2,4}, B = {1,3,5} হলে A'∪B' হবে--
- A. {1,2,3)
- B. {2,3,4}
- C. {3,4,5}
- D. {2,3,4,5}
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63 . 5, 11, 13, 7, 8 এবং 10 সংখ্যাগুলোর গড় কত?
- A. 6
- B. 7
- C. 8
- D. 9
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64 . U = {1, 2, 3, 4, 5, 6}, A = {2, 4, 6} হলে, B' = কত?
- A. {1, 3}
- B. {2, 4}
- C. {1, 3, 5}
- D. {1, 2, 3}
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65 . U ={1,2,3,4,5}, A = {1,2,4}, B = {2,4,5} হলে A'∪B' হবে--
- A. {1,3,5}
- B. {1,3,4}
- C. {1,2,3}
- D. {2,5}
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66 . চারটি সংখ্যা M,2M+3,3M-5 এবং 5M+1 এর গড় ৬৩। M এর মান কত?
- A. ১১
- B. ২৩
- C. ২২
- D. ৩২
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67 . Before Helen Keller was two years old, she lost her sight and her hearing. she lived in a world of confusion until the arrival of Anne Mansfield Sullivan, the woman who was to change Hele's life. On March 3, 1887. Miss Sullivan arrived at the Keller home. It was three months before Helen's seventh birthday. Miss Sullivan worked closely with her new student. At times the teacher becae frustrated. Eventually, Miss Sullivan's efforts were rewarded. The deaf and blind Helen Keller learned to communicate verbally. 1. What does the writer mean when she says that Miss Sullivan's efforts were rewarded ?
- A. Helen's hearing was restored
- B. Helen's learned to speak
- C. Helen's sight was restored
- D. Helen was able to teach other blind children
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68 . Before Helen Keller was two years old, she lost her sight and her hearing. she lived in a world of confusion until the arrival of Anne Mansfield Sullivan, the woman who was to change Hele's life. On March 3, 1887. Miss Sullivan arrived at the Keller home. It was three months before Helen's seventh birthday. Miss Sullivan worked closely with her new student. At times the teacher becae frustrated. Eventually, Miss Sullivan's efforts were rewarded. The deaf and blind Helen Keller learned to communicate verbally. How old was Helen when Miss Sullivan arrived ?
- A. Six years old
- B. Two years old
- C. Tree years old
- D. Seven years old
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69 . 27, -9, 3, -1 ..... অনুক্রমের পরবর্তী সংখ্যাটি কত?
- A. 1/3
- B. -1/3
- C. -3
- D. 1
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70 . Read the following passage carefully and choose the most appropriate answer of the question given on the basis of you comprehension of the passage: Think customer says a huge in the lobby of Dell 3, one of Dell Computer Corporation's their biuding at the Round Rock Texas campus, The reminder almost seems redundant because that's what Dell's Computer Corporation has room to symbolize since its humble beginning in Michael Dell's dorm room in 1983. Rather than let the computer re sellers medicate the relationships between company and customer, Dell began with a redically different business model for a high tech company ; Sell computers directly to customers and offer them direct technical support ' We have a tremendously clear business model' says Michel Dell , the 35 years old founder. There's no confusion about what the value proposition is, what the company offers and why it's great for customers. That's very simple thing but it also garners tremendous profits for the company . In 1998, Dell's revenues were 12.3 billion, with thew company growing at the rate of 52 percent a year. It recently passed IBM to become the nation's second largest seller or business computers and is because the gaining of Compaq. Dell is running rings around competitors because the direct to customer business model enables the company to be extremely responsive Because model enables the company to be extremely responsive . Because its computers are built to order allowing it to slash inventories and keep costs low. Dell can prices products 10% to 15% less than its rials can. 1.How old was Mr. Michael Dell when he began the comppany
- A. 21 years
- B. 35 years
- C. 27 years
- D. None
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71 . Read the following passage carefully and choose the most appropriate answer of the question given on the basis of you comprehension of the passage: Think customer says a huge in the lobby of Dell 3, one of Dell Computer Corporation's their biuding at the Round Rock Texas campus, The reminder almost seems redundant because that's what Dell's Computer Corporation has room to symbolize since its humble beginning in Michael Dell's dorm room in 1983. Rather than let the computer re sellers medicate the relationships between company and customer, Dell began with a redically different business model for a high tech company ; Sell computers directly to customers and offer them direct technical support ' We have a tremendously clear business model' says Michel Dell , the 35 years old founder. There's no confusion about what the value proposition is, what the company offers and why it's great for customers. That's very simple thing but it also garners tremendous profits for the company . In 1998, Dell's revenues were 12.3 billion, with thew company growing at the rate of 52 percent a year. It recently passed IBM to become the nation's second largest seller or business computers and is because the gaining of Compaq. Dell is running rings around competitors because the direct to customer business model enables the company to be extremely responsive Because model enables the company to be extremely responsive . Because its computers are built to order allowing it to slash inventories and keep costs low. Dell can prices products 10% to 15% less than its rials can. 16.Think Customer means'
- A. Customers are requested to think
- B. Customers are orderderd to think
- C. Thinking how to find out
- D. None of the above
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72 . x + 2y = 3, 4x - y = 3 সমীকরণে x এবং y এর মান কত?
- A. x = 1 এবং y = 5
- B. x = 4 এবং y = 5
- C. x = 2 এবং y = 3
- D. x = 1 এবং y = 1
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73 . 1, 2, 3, 4, ----------------- n পর্যন্ত স্বাভাবিক সংখ্যার যোগফল কত?
- A. n2
- B. n(n + 1)/2
- C. n(2n + 1)/2
- D. {n(n + 1)/2}2
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74 . 8, 11, 17, 29, 53, .............। পরবর্তী সংখ্যা কত?
- A. 101
- B. 102
- C. 75
- D. 59
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75 . A = 1, 2, 3}, B = {3, a, b} হলে, A ∪ B = কত?
- A. {3, a, b}
- B. {1, 2, 3}
- C. {1, 2, 3, a, b}
- D. {3}
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76 . U = {1, 2, 3, 4, 5}, A = {1, 2, 3, 4} হলে, A' = কত?
- A. ∅
- B. {5}
- C. {1, 2}
- D. {1, 2, 3}
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77 . A = {1, 3, 5}, B ={2, 4, 6} হলে B - A = কত?
- A. ∅
- B. {1, 4}
- C. {2, 4, 6}
- D. {1, 3, 5}
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78 . A = {1, 3, 5}, B ={2, 4, 6} হলে A - B = কত?
- A. ∅
- B. {1, 3}
- C. {2, 4, 6}
- D. {1, 3, 5}
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79 . A = {-1, 0, 2, 3}, B = {-3, 3, 4, 5} হলে A ∩ B = কত?
- A. {-1, 3}
- B. {3}
- C. {-3, 4}
- D. {2, 3}
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80 . a3 + b3, a6 - b6 এর ল.সা.গু. কত?
- A. 1
- B. a3 + b3
- C. a6 - b6
- D. a3 - b3
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81 . a4 - ab3, a3b + b4 এর গ.সা.গু. কত?
- A. a - b
- B. a + 1
- C. 1
- D. a - 1
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82 . The First Amendment to the American Constitution declares o freedom of the press to all people. Although this right was not officially adopted until 179 l , the famous Zenger trial of 1735 laid the groundwork for insuring this precious freedom. .73 John Peter Zenger emigrated as a teenager from Germany. In 1733, he began publishing the New York Weekly journal. The o following year, he was arrested for writing a story about the crown-appointed governor of New York. While Zenger was imprisoned for nine months, his wife dutifully published the newspaper 1--3 everyday, bravely telling the truth about the corrupt government officials sent by the king to govern the colonies. Finally Zenger's long-awaited trial took place. The hostile judge dismissed Zenger's -5' local lawyers, making it necessary for his wife to seek out Andrew o Hamilton, a prominent Philadelphia lawyer. Persuaded by ; Hamilton, the jury bravely returned a not-guilty verdict, defying the judge's orders for a conviction. As a result of determination and bravery on the part of the colonists, a lasting victory for freedom of ' the press was gained by immigrant. 1.John Peter Zenger was a ________
- A. famous lawyer
- B. member of the Jury
- C. corrupt governor of New york
- D. Brave newspaper publisher
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83 . In line 3, avoid means _____.
- A. attack
- B. hurt
- C. like
- D. keep away from
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84 . 1,3,6,10,15,21,---অনুক্রমেরপরবর্তীসংখ্যাটি হলে-
- A. 26
- B. 27
- C. 28
- D. 30
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85 . যদি প্রারম্ভিক মূল্যধন 16,500 টাকা; সমাপনী মূলধন 11,350 টাকা; অতিরিক্ত মূলধন 1,000 টাকা এবং উত্তোলন 3,300 টাকা হয় তবে লাভসবা ক্ষতি কত?
- A. ক্ষতি 1,850 টাকা
- B. লাভ 2,850 টাকা
- C. ক্ষতি 2,850 টাকা
- D. লাভ 8,450 টাকা
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86 . নিম্নের তথ্যের ভিতিতে মুখ্য ব্যয় নির্ণয় কর: কাঁচামাল ক্রয় 66,000 টাকা; প্রত্যক্ষ মজুদ 52,500 টাকা; অন্যান্য প্রত্যক্ষ ব্যয় 3,000 টাকা; বহিঃপরিবহন 5,000 টাকা ও সুপারভাইজারের বেতন 7,000 টাকা।
- A. 1,18,500
- B. 1,21,500
- C. 66,000
- D. 1,33,500
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87 . 2010 সালে মল্লিক কোং এর বিক্রয় 3,76,000 টাকা মোট লাভ 1,76,000 টাকা, পরিচালন ব্যায় 66,000 টাকা, নগদ লাভ্যাংশ প্রদান 30,000 টাকা এবং অন্যান্য খরচ 20,000 টাকা। করের হার 30% হলে আয়করের পরিমাণ কত?
- A. 18,000 টাকা
- B. 52,800 টাকা
- C. 1,12,800 টাকা
- D. 27,000 টাকা
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88 . What is the slope of a line containing the points (1, 13) and (-3, 6)?
- A. 0.14
- B. 0.57
- C. 1.75
- D. 1.83
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89 . Milo has the year-end balances as follows: Account receivables TA. 5000; Supplies TA. 12,000; Equipment's TA. TA. 18,000; Accounts payable TA. 17,000 and Owner's equity TA. 43,000. The cash account balance was not available at year-end, Given the account balances listed, the balance in the cash account should be:
- A. TA. 25,000
- B. TA. 95,000
- C. TA. 43,000
- D. Can't be determined
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90 . Which is the odd number out in the series: 462, 385, 198, 253, 781, 594?
- A. 683
- B. 198
- C. 781
- D. 594
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91 . A = {1, 2, 3, 4} হলে, P(A) এর উপাদান সংখ্যা কত?
- A. 4
- B. 8
- C. 12
- D. 16
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92 . If a = 1, b = 2, c = 3, d = 4, then what is indicated by the number 8514?
- A. Dean
- B. Head
- C. Hear
- D. Aunt
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93 . what is the next number of the series. 3,9, 12, 15.....?
- A. 21
- B. 22
- C. 23
- D. 24
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94 . In a series of 8, 11, 17, 29, 53, ----------what is the next number?
- A. 101
- B. 102
- C. 75
- D. 24
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95 . 2, 3, 5, 8, 13, 21, 34, ........... ধারাটির পরের সংখ্যাটি-
- A. 55
- B. 13
- C. 35
- D. 16
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96 . Subtract 3 from in the number n,multiply the result by 3, add 3 and then divide this results by 3. what is he final results.
- A. n
- B. n-1
- C. n-2
- D. n-3
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97 . If the average of the four numbers M, 2M+3, 3M-5 and 5M+1 is 63, what is the value of M?
- A. 23
- B. 22
- C. 11
- D. 32
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98 . Find th area of the triangle formed by the points located at ( 5, 2) , (-9, -3) and (-3, -5).
- A. 27 square unit
- B. 29 square unit
- C. 31 square unit
- D. 20 square unit
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99 . In a 729 liters mixture of milk and water, the ratio of milk to water is 7:2. to get a new mixture containing milk and water in the ratio 7: 3, the amount of water to be added is-
- A. 81 liters
- B. 71 liters
- C. 56 liters
- D. 50 liters
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100 . Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
- A. 4
- B. 7
- C. 9
- D. 13
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101 . Find the least five-digit number which can be divided by 8, 12, 16 and 20 leaving remainders 1. 5, 9 and 13, respectively.
- A. 10003
- B. 10093
- C. 10073
- D. 10013
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102 . The denominator of a fraction is 5 more than the numerator. If the numerator as well as the denominator is increased by 3, the fraction becomes 5/9. The original fraction is
- A. 11/18
- B. 13/18
- C. 15/18
- D. 16/18
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103 . If cot (x-30°)=1/√3, sin x=?
- A. 1/2
- B. 1
- C. √3/2
- D.
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104 . Which of the following is the next number in the series : 1,1,2,4,3,9,4,16,5,.......... ?
- A. 30
- B. 36
- C. 45
- D. 35
- D. None of these
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105 . What is the next number in the series : 1, 1, 2, 4, 3, 9, 4, 16-----?
- A. 5
- B. 8
- C. 20
- D. 25
- D. None of these
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106 . If set A = {1,2} and C = { 3,4} then A×B (Cartesian product of set A and B ) is
- A. {1,2,3,4}
- B. {(1,3), (2,4)}
- C. {(1,3), (2,4), (1,4),(2,3)}
- D. Try your self
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107 . What is the next number in the series 1, 3, 6, 10, 15 -----
- A. 17
- B. 19
- C. 20
- D. 21
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108 . If 3x+2y=8 and 2x-y=3, find the value of 4y-3x = ?
- A. -2
- B. 1.5
- C. 0
- D. none of these
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109 . If a certain integer x is divided by 4, the remainder is 3, then all of the following could be an integer except ----
- A. x/11
- B. x/23
- C. x/8
- D. none of these
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110 . After dividing a postie integer, Y, by 3, the remainder is 2, but when Y is divided by 7, the remainder is 4 . what is the least possible value of Y?
- A. 11
- B. 22
- C. 18
- D. 32
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111 . A person buys a TV worth BDT 3,90,000 with a down payment of 40,000, including Tk. 5000 as first month's installment . How many more installments does he have to pay if his installments had to double after each successive payment?
- A. 6
- B. 7
- C. 8
- D. 10
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112 . 6,7,9,13,__, ___. what are the two missing numbers in the series?
- A. 21,37
- B. 17,21
- C. 21,39
- D. 17,19
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113 . how many 3digit numbers can be formed from digits 2,3,5,6,7 and 9 divisible by 5 and none of the digits is repeated?
- A. 5
- B. 10
- C. 15
- D. 20
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114 . Triangle ABC has the following vertices: A (1,0) , B (5,0) and C (3,4) . which of the following is true ?
- A. AB=BC
- B. CA =CB
- C. AB =AC
- D. AC
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115 . The profit earned after selling an article for Tk.3,362 is the same as the loss incurred after selling the article for Tk.2,346. At what selling price will a trader make a 20% profit on this article?
- A. 4639.4
- B. 4769.6
- C. 4830.8
- D. None of these
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116 . In Asian Games 2023, Bangladesh did win how many medals?
- A. One Silver and One Bronze
- B. Two Bronzes
- C. Two Silvers
- D. One Gold and One silver
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117 . the next number in the sequence 3,6 ,11,18,27....
- A. 34
- B. 36
- C. 38
- D. 40
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118 . if x:y=5;3, then(8x-5y):(8x=5y)=?
- A. 5:11
- B. 6:5
- C. 5:6
- D. 3:4
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119 . the sum of the first 17 terms of the series 5,9,13,17...
- A. 529
- B. 462
- C. 629
- D. 523
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120 . if a=(1,2,3,4,5),then the number of proper subsets a is
- A. 120
- B. 30
- C. 31
- D. 32
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121 . Which of the following is the lowest positive integer divisible by 2,3,4,5,6,7,8 and 9?
- A. 15,120
- B. 3,024
- C. 2,520
- D. 1,890
- D. 1,680
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122 . what is the next number in the series: 1 ,1 ,2 ,3 , 5, 8, 13, 21 ............. ?
- A. 34
- B. 31
- C. 41
- D. 50
- D. None of them
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123 . If the average of the four numbers M, 2M+3, 3m-5 and 5M+1 is 63 what is the value of the m?
- A. 11
- B. 23
- C. 22
- D. 32
- D. 25
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124 . If the average of four numbers k, 2K+3, 3K-5 and 5K+1 is 63. What is the value of K?
- A. 11
- B. 15.75
- C. 22
- D. 23
- D. 25
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125 . Find the nixt number in the series : 3, 6, 4, 9,5,12,6.......
- A. 15
- B. 13
- C. 27
- D. 33
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126 . If 3x+2y=8 and 2x-2y=3, find the value 4-3x
- A. 2.6
- B. 3
- C. -2.5
- D. -2
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127 . Nahid is ten years older than his sister. If Nahid was twenty five years of age in 2013, in what year could he have been born?
- A. 1978
- B. 1983
- C. 1988
- D. 1993
- D. None of these
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128 . Find the greatest number that will divide 43,91, and 183 so as to leave the same remainder in each case.
- A. 7
- B. 9
- C. 13
- D. 4
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129 . Mr.khan invested an amount of TK. 13,900 divided into two different schemes A and B at a simple interest rate of 14% per annum and 11% per annum respectively. If the total amount of simple interest earned in 2 years be Tk. 3,508, what was the amount invested in Scheme B?
- A. TK. 6400
- B. TK. 6500
- C. TK. 7200
- D. TK. 7500
- D. None of these
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130 . If (3x+2y) = 8 and (2x-y) = 3, what is the value of "x" ?
- A. 2
- B. 3
- C. 4
- D. 6
- D. None of these
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131 . Which of the following is the next number in the series : 1, 3, 2, 4, 3, 5, 4, 6, 5, ... ??
- A. 7
- B. 8
- C. 9
- D. 10
- D. None of these
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132 . Which number is divisible by 2,3,4, and 6 but is not divisible by 5?
- A. 138
- B. 644
- C. 1020
- D. 1428
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133 . Leave Interstate 25 at exit 75 . Follow that road (Elm Street ) for two miles . After one mile ,you will pass a small shopping center on your left . At the next set of traffic lights, turn right onto Maple Drive . Driks house is the third house on your left . It's number 33, and i'ts write with green trim. What is Drik's address?
- A. Interstate 25
- B. 2 Elm Street
- C. 13 Erika Streeet
- D. 33 Maple Drive
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134 . 30 men took a dip in a water tank 20m long and 15m broad on a religious day.If the aveage water displacement of water by a man is 2m3, then the rise in the water level in the tank will be --
- A. 20 cm
- B. 50 cm
- C. 100 cm
- D. 200 cm
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135 . What is the fourth proportional of 3,9 and 4?
- A. 12
- B. 16
- C. 8
- D. 6
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136 . Two chairs have been sold ,each for Tk. 3,600. On one 20% profit has been earned and on the other 20% loss has been incurred .What is total profit or loss ?
- A. None
- B. loss of Tk. 120
- C. loss of tk. 300
- D. Profit of Tk. 120
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137 . If the following series continues to follow the same pattern, what will be the next number : 2, 6, 3, 9, 6, ......?
- A. 3
- B. 6
- C. 18
- D. 14
- D. None of them
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138 . Pick the odd one out -331, 482, 551, 263, 383, 242, 111
- A. 263
- B. 383
- C. 242
- D. 111
- D. None of them
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139 . In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?
- A. 20%
- B. 25%
- C. 50%
- D. 75%
- D. None of these
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140 . Which one number does not belong to the following series ? 3, 5, 8, 11, 17, 23
- A. 8
- B. 11
- C. 17
- D. 23
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141 . Aunik and Anam started a business investing Tk. 22,500 and Tk. 35,000 respectively. Out of a total profit of Tk. 13,800, Anam's share is :
- A. Tk. 5400
- B. Tk. 7200
- C. Tk. 8400
- D. Tk. 9600
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142 . The least perfect square number divisible by 3, 4, 5, 6 and 8 is :
- A. 900
- B. 1200
- C. 2500
- D. 3600
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143 . If x+y=4 and x-y=3, then x+2y is :
- A. 0.5
- B. 4.5
- C. 3.5
- D. 4
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144 . If 4x-7 <2x+13, then which of the following must be true?
- A. x < 7
- B. x < 13
- C. x>9
- D. x>10
- D. None of these
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145 . Jafar's English quize scored are 56, 93,72,89 and 87. What is the median of his scores?
- A. 72
- B. 87
- C. 56
- D. 85.6
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146 . In October 2013, which of the following countries had announced that it would become the first member of the Euro zone, to exit an international bail-out programme?
- A. France
- B. Portuguese
- C. Greece
- D. Ireland
- D. None of these
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147 . Which of the following is the next number in the series : 2, 4, 3, 9, 4, 16, 5, 25, 6,-------?
- A. 30
- B. 36
- C. 45
- D. 35
- D. None of these
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148 . Which number will compete compete the series 3,19, 41, 71, 111 ____?
- A. 155
- B. 163
- C. 157
- D. 158
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149 . If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH?
- A. 216473
- B. 214673
- C. 246173
- D. 214763
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150 . If a bookstore owner buys 15 books less for Tk. 900 when the price of each book goes up by Tk. 3, then find the original price of a book.
- A. Tk.20
- B. Tk. 18
- C. Tk. 15
- D. Tk. 12
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151 . What handheld communication device, invented by martin Cooper in 1973, is considered the precursor to modern cell phones?
- A. Pager
- B. Walkie-Talkie
- C. Cordless phone
- D. Brick phone
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152 . 0, 1, 2, 3, 4 অংকগুলি দ্বারা কতগুলি পাঁচ অংকের অর্থপূর্ণ সংখ্যা গঠন করা যাবে?
- A. 96
- B. 120
- C. 24
- D. 144
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153 . 3x-y=3,5x+y=21 হলে (x, y) এর মান -
- A. (2,5)
- B. (2,6)
- C. (3,5 )
- D. (3,6)
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154 . যদি সেট A ={5, 15, 20, 30} এবং B= {3, 5, 15, 18, 20} হয় তবে নিচের কোনটি A n B নির্দেশ করবে?
- A. {3, 18, 30}
- B. {3, 5, 15, 18, 20, 30 }
- C. { 5, 15, 20}
- D. কোনোটিই নয়
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155 . সাতটি সরল রেখার দৈর্ঘ্য যথাক্রমে 1,2,3,4,5,6 ও 7 সে.মি. । কয়টি ক্ষেত্রে এদের চারটি বাহু দিয়ে চতুর্ভুজ অংকন সম্ভব নয়?
- A. 2
- B. 3
- C. 4
- D. 5
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156 . 5,11,13,7,8 এবং 10 সংখ্যার গড় কত ?
- A. 6
- B. 7
- C. 8
- D. 9
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157 . 13, -1, 3,...
- A.
- B.
- C.
- D.
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158 . PA=13, PB=34,
- A.
- B.
- C.
- D. এর কোনোটিই নয়
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159 . যদি P= {2,3,4} এবং Q = { 3, 4, 7} হয়, তবে Q/P কত?
- A. {7}
- B. {2}
- C. {4}
- D. {3}
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160 . 512,613,1124
- A.
- B.
- C.
- D.
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161 . logax=1,logay=2,logaz=3,logax3y2z=?
- A. 1
- B. 4
- C. 2
- D. 5
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162 . x+y=3,x2+y2=5
- A.
- B.
- C.
- D.
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163 . 18x+y3,24x+y2
- A.
- B.
- C.
- D.
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164 . p = {1,2,3,4} এর প্রকৃত উপসেট কয়টি ?
- A. ১৫
- B. ১৬
- C. ১৮
- D. ২৪
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165 . A∩B=
- A.
- B.
- C.
- D.
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166 . একটি ত্রিভুজের তিনটি কোণের পরিমাণ যথাক্রমে x/3, x/3, 4x/3 হলে বৃহত্তম কোনটির মান হবে
- A. 60°
- B. 160°
- C. 120°
- D. 90°
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167 . As of December 31, 2020, Apple Company has assets of Tk. 3,500 and equity of Tk. 2000. What are the liabilities for Apple Company as of December 31, 2020?
- A. Tk. 1,500
- B. Tk. 1,000
- C. Tk. 2,500
- D. Tk. 2,000
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168 . A credit sale of Tk. 7,500 is made on June 13, terms 2/10, net/30. A return of Tk. 500 is granted on June 16. The amount received as payment in full on June 23 is
- A. Tk. 7,000
- B. Tk. 6,860
- C. Tk. 6,850
- D. Tk. 6,500
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169 . What is the next term in the sequence: 4, 9, 6, 11, 8, 13, ….. ?
- A. 18
- B. 16
- C. 10
- D. 9
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170 . 1,2,3,6,9,18, (….), 54. What is the missing number in the series?
- A. 18
- B. 27
- C. 36
- D. 81
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171 . The population of bacteria in an experiment was only two in first day. If each day the population increases by 3, what will be the number of bacteria in 100 day?
- A. 199
- B. 299
- C. 302
- D. 399
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172 . 11, 15, 23, 39 ......... ক্রমটির পরবর্তী সংখ্যা কত?
- A. 45
- B. 55
- C. 71
- D. 81
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173 . If x, y, z are chosen from the three numbers -3, 1/2 and 2, what is the largest possible value of the expression (x/y) z২?
- A. 16
- B. 44
- C. 36
- D. 54
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174 . The 2023 FIFA Women's World Cup took place from 20 July to 20 August 2023, was jointly hosted by -
- A. Australia and New Zealand
- B. Australia and France
- C. France and Germany
- D. France and New Zealand
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175 . If a:b=1:3, b:c=5:7 then what is the value of a:b:c?
- A. 3:5:7
- B. 5:9:15
- C. 5:15:21
- D. 4:13:24
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176 . The numbers 2,3,5 and x have an average equal to 4 . What is x?
- A. 4
- B. 5
- C. 6
- D. 7
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177 . If x:y= 5:3, then (8x-5y) : (8x+5y)= ?
- A. 3:12
- B. 8:12
- C. 5:11
- D. 5:15
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178 . In a set of 3 numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?
- A. 3
- B. 2
- C. 2.5
- D. 3.5
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179 . The sum of first 17 terms of the series 5, 13, 17, --- is -
- A. 529
- B. 462
- C. 629
- D. 523
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180 . If A = { 1,2,3,4,5} , then the number of proper subsets of A is -
- A. 120
- B. 30
- C. 31
- D. 32
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181 . The Next Number in the sequence 3,6,11,18 ,27, .... is -
- A. 34
- B. 36
- C. 38
- D. 40
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182 . If 1 -2x ≤ 3, then ___
- A. x ≤ -2
- B. x ≥ -2
- C. x ≤ -1
- D. x ≥ -1
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183 . Two numbers are in the ratio of 15:11. If their H.C.F is 13, find the numbers.
- A. 195 and 143
- B. 190 and 143
- C. 195 and 145
- D. None of these
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184 . A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14, and x. He found the mean to be 12. What should be the number in place of x ?
- A. 7
- B. 17
- C. 31
- D. 3
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185 . Of the 3,600 employees of ABC Ltd, 1/3 are clerical . If clerical staff were to be reduced by 1/3,what percent of the total number of the remaining employees would then be clerical ?
- A. 22.5%
- B. 20.5%
- C. 25.2%
- D. 25%
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186 . To find the average value of A1, A2, A3, which of the following is not a correct formula ?
- A. = Sum (A1 : A3)/3
- B. = (A1 : A3)/3
- C. = (A1-A2+A3)/3
- D. = Average (A1:A3)
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187 . Consider the following series: 3,4,6,9,13, ............. What comes next
- A. 15
- B. 16
- C. 17
- D. 18
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188 . Consider the following series : 3, 4, 6, 9, 13 , _____ . What comes next?
- A. 15
- B. 16
- C. 17
- D. 18
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189 . What is the next digit of the series 1,2,3,5,7 ---------- ?
- A. 9
- B. 14
- C. 11
- D. 16
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190 . The average of 3 numbers is 24. If 2 of the number are 21 and 23,what is the 3rd number?
- A. 20
- B. 24
- C. 26
- D. 28
- D. 30
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191 . The sum of three consecutive number is 123, The product of two smaller number is :
- A. 900
- B. 1600
- C. 1680
- D. 1640
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192 . x=-3,
- A. -27
- B. -18
- C. 27
- D. 81
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193 . The next number in the sequence 3, 4,8,17,33,.....is-
- A. 54
- B. 56
- C. 58
- D. 60
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194 . x2+y2/x2-y2
- A. -10/9
- B. 5/4
- C. -5/4
- D. -5/3
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195 . 9 দিয়ে বিভাজ্য 3 অঙ্কবিশিষ্ট একটি সংখ্যার প্রথম অঙ্ক 3, তৃতীয় অঙ্ক 8 হলে মধ্যম অঙ্কটি কত?
- A. 6
- B. 7
- C. 8
- D. 9
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196 . 3,
- A. 52%
- B. 60=0%
- C. 30%
- D. 67%
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197 . a3b2c3,a5b3c4,a4b3c2
- A.
- B.
- C.
- D.
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198 . x-y3,
- A. 1
- B. 3
- C. 3a
- D.
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199 . y=5x2-2x
- A. 24
- B. 27
- C. 39
- D. 51
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200 . a=27,b=13,x=18,
- A.
- B.
- C.
- D.
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201 . -3x2
- A. -27
- B. -18
- C. 27
- D. 18
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202 . x2-y2,x3-y3,x4+x2y2+y4
- A. x+y
- B. x -y
- C. 0
- D. 1
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203 . a3-b3,a3+b3
- A. (a-b)
- B. 1
- C. a+b
- D.
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204 . In 1993, Nelson Mandela was awarded ___ Nobel Peace Prize.
- A. the
- B. a
- C. an
- D. no article
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205 . ২০২৩ সালে কোম্পানির সম্পদ ৭০,০০০ টাকা কমেছে এবং দায় ১,০০,০০০ কমেছে। কোম্পানির মালিকানা স্বত্ব কত? (In 2023, asset of the company decreased Tk. 70,000 and liability decreased Tk.1,00,000. What will be the owner's equityn)
- A. ৩০,০০০ টাকা বাড়বে (Tk. 30,000 increase)
- B. ৩০,০০০ টাকা কমবে (Tk.30,000 decrease)
- C. ১,৩০,০০০ টাকা কমবে (Tk. 1,30,000 decrease)
- D. ১,৩০,০০০ টাকা বাড়বে (Tk. 1,30,000 increase)
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206 . (3, 2) বিন্দু থেকে 4x-3y+7= 0 সরল রেখার উপর লম্ব দৈর্ঘ্য কত?
- A. 12/7
- B. - 12/7
- C. 1
- D. 13/5
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207 . 1, 2, 3, ........ n, n টি পদের যোগফল 15 হলে তম পদ হবে-
- A. 7
- B. 5
- C. 8
- D. 6
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208 . If x represents the earnings in 1993, the earnings in 1995 can be approximately represented as--
- A. 4.2x
- B. 2.4x
- C. x/4.2
- D. 5x
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209 . Which number should come next in the series: 1,3,6,10,15?
- A. 18
- B. 20
- C. 21
- D. 25
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210 . Which number should come next in this series: 3,5,8,13,21?
- A. 4
- B. 21
- C. 31
- D. 34
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211 . (4, 3) কেন্দ্রবিশিষ্ট বৃত্তের ব্যাসের এক প্রান্তের স্থানাঙ্ক (3, 1) হলে অপর প্রান্তের স্থানাঙ্ক কোনটি ?
- A. (4, 0)
- B. (4,-5)
- C. (4, 7)
- D. (5, 5)
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212 . 2/3, 3/4, 4/5, 5/6 এর বৃহত্তম ও ক্ষুদ্রতম ভগ্নাংশের মধ্যে পার্থক্য কত?
- A. 2/5
- B. 3/5
- C. 1/6
- D. 1/7
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213 . যদি একটি গানিতিক ধারার প্রথম তিনটি পদ 30, 33, এবং 36 হয়, তবে 80 তম পদটি কত?
- A. 236
- B. 267
- C. 293
- D. 312
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214 . (3,4) এবং (5,9) বিন্দুদ্বয়ের সংযোগ রেখাংশকে (-1,-6) বিন্দুটি কোন অনুপাতে বিভক্ত করে?
- A. 2:3 অনুপাতে অন্তর্বিভক্ত
- B. 3:2 অনুপাতে অন্তর্বিভক্ত
- C. 3:2 অনুপাতে বহির্বিভক্ত
- D. 2:3 অনুপাতে বহির্বিভক্ত
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215 . If the average daily consumption of a city is 100,000 m3, the maximum daily consumption on peak hourly demand will be
- A. 100000m3
- B. 150000m3
- C. 180000m3
- D. 270000 m3
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216 . (3,-1) এবং (4,-2) বিন্দুদ্বয়ের সংযোগ সরলরেখা। অক্ষের সাথে কত কোণ উৎপন্ন করবে?
- A. 30°
- B. 75°
- C. 105°
- D. 135°
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217 . NH3,RNH2,R2NH
- A.
- B.
- C.
- D.
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218 . কোন বিন্দু T-এর স্থানাংক (3, 4) হলে, মূল বিন্দু থেকে T বিন্দুর আনুভূমিক দুরত্ব ,
- A. ৩ একক
- B. ৪ একক
- C. ৯ একক
- D. ৭ একক
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219 . Ka
- A. A
- B. B
- C. C
- D. D
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220 . F→=2i^+3j^+4k^N
- A. 50 J
- B. 55 J
- C. 59 J
- D. 60 J
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221 . ত্রিভূজের তিনটি শীর্ষবিন্দুর স্থানাংক (3, 5), (-3, 3) এবং (-1, -1) হলে, ত্রিভূজটির ক্ষেত্রফল কত ?
- A. 12
- B. 14
- C. 16
- D. 18
- D. 20
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222 . fx=2x+1x-3
- A. R
- B.
- C.
- D.
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223 . Which number should come next in the series ? 2, 4, 3, 7, 4, 10, 5, -----?
- A. 13
- B. 12
- C. 10
- D. 15
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224 . Read the passage below and answer the questions that follow: Orville and Wilbur Wright, the inventors of the first flying machine, had always had a compelling interest in aeronautics and mechanics. As young boys, they earned money by making and selling kites and mechanical toys. Later, they built a printing press and operated a bicycle-repair shop. In 1903, the Wright brothers built their first airplane. They even designed and built their own source of propulsion - a lightweight gasoline engine. By 1905, they had perfected the first airplane that could remain airborne for half an hour at a time As the contributors of one of the most outstanding engineering achievements in history, the Wright brothers are called the fathers of aviation The Wright brothers are called the fathers of aviation because they
- A. flew the first flying machine
- B. invented and flew the first flying machine
- C. designed flying machines for airlines
- D. designed flying machines that could land on water.
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225 . Read the passage below and answer the questions that follow: Orville and Wilbur Wright, the inventors of the first flying machine, had always had a compelling interest in aeronautics and mechanics. As young boys, they earned money by making and selling kites and mechanical toys. Later, they built a printing press and operated a bicycle-repair shop. In 1903, the Wright brothers built their first airplane. They even designed and built their own source of propulsion - a lightweight gasoline engine. By 1905, they had perfected the first airplane that could remain airborne for half an hour at a time As the contributors of one of the most outstanding engineering achievements in history, the Wright brothers are called the fathers of aviation The Wright brothers made toys that
- A. used gasoline as their source of propulsion
- B. could fly
- C. they sold for money
- D. they sold for building their first flying machine.
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226 . Read the passage below and answer the questions that follow: Orville and Wilbur Wright, the inventors of the first flying machine, had always had a compelling interest in aeronautics and mechanics. As young boys, they earned money by making and selling kites and mechanical toys. Later, they built a printing press and operated a bicycle-repair shop. In 1903, the Wright brothers built their first airplane. They even designed and built their own source of propulsion - a lightweight gasoline engine. By 1905, they had perfected the first airplane that could remain airborne for half an hour at a time As the contributors of one of the most outstanding engineering achievements in history, the Wright brothers are called the fathers of aviation The Wright brothers' interest in aeronautics led to
- A. a foolish thought
- B. an invention
- C. a failure
- D. a university degree for each.
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227 . সাতটি সরলরেখার দৈর্ঘ্য যথাক্রমে 1, 2, 3, 4, 5, 6 ও 7 সে মি । একটি চতুর্ভুজ গঠন করার জন্য চারটি সরলরেখা যত প্রকারে বাছাই করা যায় তার সংখ্যা -
- A. 32
- B. 35
- C. 64
- D.
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228 . 1, 3, 0, 3, 5, 5 অংকগুলি দ্বারা 100000 এর চেয়ে বড় কতগুলো সংখ্যা গঠন করা যায় ?
- A. 150
- B. 160
- C. 155
- D.
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229 . Which of the following is the next number in the series: 3,6,9,18,27,54,81, -----?
- A. 135
- B. 151
- C. 162
- D. 182
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230 . (1, 1) বিন্দুর সাপেক্ষে (3, 4) বিন্দুর প্রতিবিম্ব কোনটি ?
- A. (-1, -2)
- B. (-2, -3)
- C. (-3, -4)
- D.
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231 . x² + y² = a² বৃত্তের উপর (3, 4) বিন্দুতে স্পর্শকের সমীকরণ
- A. 3x + 4y = a²
- B. 4x + 3y = a²
- C. 6x + 8y = a
- D.
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232 . ধর A = {2,3,4,7,9,10} এবং B = {3,6,9,12}. A সেট হতে একটি সংখ্যা দৈব পদ্ধতিতে বেছে নিলে সংখ্যাটি A∩B তে থাকার সম্ভাব্যতা কত?
- A. 1/3
- B. 1/4
- C. 1/2
- D.
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233 . ত্রিভূজের তিনটি শীর্ষ বিন্দুর স্থানাংক (3, 5), (-3, 3) এবং (-1, -1) হলে, ত্রিভূজটির ক্ষেত্রফল কত ?
- A. 12
- B. 14
- C. 16
- D. 18
- D. 20
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234 . ( 2,3) এবং (4,5) বিন্দুদ্বয়ের সংযোজক রেখাংশটি (3,4) বিন্দুতে কি অনুপাতে বিভক্ত হয় ?
- A. 2:3
- B. 4:3
- C. 1:1
- D. 5:3
- D. 5:4
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235 . 1,2,3,4,5,6 ও 7 থেকে পুনরাবৃত্তি ছাড়া তিন অঙ্কের সংখ্যা গঠন করা হলে , কয়টি সংখ্যার মান 100 থেকে 500 এর মধ্যে?
- A. 240
- B. 60
- C. 120
- D. 480
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236 . মনে কর, নাভানা লিঃ এর প্রারম্ভিক মজুদ 80,00 টাকা ক্রয় 5,00,000 টাকা ক্রয় পরিবহন 16,000 টাকা ক্রয় ফেরত 5,000 টাকা বিক্রয় পরিবহন 3,000 টাকা; ক্রয় বাট্টা 5,000 টাকা; সমাপনি মজুদ পণ্য 70,000 টাকা । তাহেল বিকিত্রত পণ্যের ব্যয় কত?
- A. 5,16,000 টাকা
- B. 5,19,000 টাকা
- C. 5,21, 000 টাকা
- D. 5,24,000 টাকা
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237 . (√3, 1) বিন্দুর পোলার স্থানাঙ্ক-
- A. (2, π/4)
- B. (2, π/6)
- C. (1, π/4 )
- D. (0, π/4)
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238 . যদি 3, x, y, 18 সমান্তর প্রগমনে থাকে, তাহলে x ও y এর মান যথাক্রমে-
- A. 5,9
- B. 7, 11
- C. 6,9
- D. 8,13
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239 . n = 3, I = 1 উপকক্ষে কয়টি ইলেকট্রন থাকতে পারে ?
- A. 8
- B. 18
- C. 6
- D. 32
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240 . ত্রিভুজের তিনটি শীর্ষ বিন্দুর স্থানাংক (3, 5)(-3. 3) এবং (-1, -1) হলে ত্রিভুজটির ক্ষেত্রফল কত বর্গ একক ?
- A. 12
- B. 14
- C. 16
- D. 18
- D. 20
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241 . If a = I, b = 2, c = 3, d =4, then what is indicated by the number 8514?
- A. Dean
- B. Head
- C. Hear
- D. Aunt
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242 . একটি ত্রিভুজের বাহুগুলো 13, 14, 15 হলে এর ক্ষেত্রফল-
- A. 84 sq units
- B. 88 sq. units
- C. 80 sq. units
- D. 64 sq units
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243 . একটি বৃত্ত (-1,-1) এবং (3,2) বিন্দুগামী এবং এর কেন্দ্র x+2y+3=0 রেখার উপর অবস্থিত। বৃত্তটির সমীকরণ-
- A. x²+y²-8x-7y+3=0
- B. x²+y²-8x-7y-3=0
- C. x²+y²-4x+5y-15=0
- D.
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244 . কোন ত্রিভুজের শীর্ষবিন্দুসমূহ (-4,3), (-1,-2) এবং (3,-2) dহলে, তার ক্ষেত্রফল -
- A. 15 sq. units
- B. 10 sq. units
- C. 7 sq. units
- D. 30 sq. units
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245 . সেট A={a, d, e}, B={1, 3, 5} হলে, A x B সেটের সদস্য কত?
- A. 6
- B. 9
- C. 12
- D. 4
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246 . 1, 5/6, 2/3, 1/2,... .... ..... ..... .... অনুক্রমের পঞ্চম পদ-
- A. 3/2
- B. 1/3
- C. 5/6
- D. -1/6
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247 . সেট D={5,4,3,2,1} এর একটি সাবসেট হচ্ছে-
- A. {0,1,4}
- B. {4,3,2}
- C. {6,5,1}
- D. {7,2,1}
- D. {5,1,0}
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248 . 1, 2, 3, .......... , 50 পর্যন্ত স্বাভাবিক সংখ্যাগুলোর গাণিতিক গড় কত ?
- A. 25
- B. 25.5
- C. 27.5
- D. 30
- D. 30.5
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249 . 1, 3, 6, 2, 5, 4, 7, সংখ্যাগুলোর ভেদাংক কত ?
- A. 6
- B. 5
- C. 4
- D. 3
- D. 3.5
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250 . কোন পরমানুর একটি একটি ইলেকট্রনের কোয়ান্টাম সংখ্যার সেট, n=3, l=1, m(l)=-2, m(s)=-1/2 হতে পারে না কেন?
- A. l এর মান 1 হতে পারে
- B. m(l) এর মান -2 হতে পারে না
- C. m এর মান ±1/2 হতে হবে
- D. l এর মান 2 হতে হবে
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251 . x²+y²=25 হলে, (3,-4) বিন্দুতে dy/dx এর মান-
- A. 1/2
- B. 3/2
- C. 3/4
- D. 1
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252 . সেট D= {5, 4, 3, 2, }এর একটি সাব সেট হচ্ছে-
- A. {4, 3, 2}
- B. {0, 1, 4}
- C. {6, 5, 1}
- D. {7, 2, 1}
- D. {5, 1, 0}
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253 . যদি A= {1,2,3}, B= {4,5,6} এবং R= {(1,4), (2,5), (3,4)} হয়, তবে কোনটি সত্য উক্তি ?
- A. R একটি ফাংশন যার ডোমেন A
- B. R একটি ফাংশন যার রেঞ্জ B
- C. R একটি এক-এক ফাংশন
- D. R একটি সার্বিক ফাংশন
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254 . 3,5,7,8,9 অঙ্কগুলি এক বা একাধিক বার ব্যবহার করে 7000 থেকে বড় চার অঙ্ক বিশিষ্ট কতগুলি সংখ্যা গঠন করা যায় -
- A. 27
- B. 81
- C. 72
- D. 56
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255 . কোন ত্রিভুজের শীর্ষবিন্দুসমূহ (-1,-2), (2,5) এবং (3, 10) হলে, তার ক্ষেত্রফল -
- A. 10 sq. units
- B. 15 sq. units
- C. 4 sq. units
- D. 18 sq. units
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256 . 5x -2y + 7 =0 সরলরেখার উপর লম্ব এবং (-3,1) বিন্দু দিয়ে অতিক্রম করে এমন একটি সরলরেখার সমীকরণ -
- A. 5x -2y +7 =0
- B. 2x -5y +1 =0
- C. 2x + 5y -1=0
- D. 2x -5y -1=0
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257 . -1,-2,0,1,2,3,4,5 এর অংকগুলোর সাহায্যে যা গঠন করা যায় না তা হচ্ছে-
- A. আট অংক বিশিষ্ট সংখ্যা
- B. নির্ণায়ক
- C. সেট
- D. ম্যাটিক্স
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258 . (- 5, 7) (3,-1) বিন্দুদ্বয়ের সংযোগকারী রেখাংশের লম্ব সমদ্বিখন্ডক রেখার সমীকরণ কি?
- A. y -3 = x + 1
- B. y + 1 = x-3
- C. Y + 3 = x-1
- D. y-1 =x -3
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259 . একটি হুইটস্টোন ব্রীজের ১ম , ২ য়, ৩য় ও ৪র্থ বাহুতে যথাক্রমে 6, 3, 4 ও 6 ওহম এর চারটি রোধ রয়েছে। ৪র্থ বাহুর রোধের সঙ্গে কত রোধ সমান্ত রালে ব্যবহার করলে ব্রীজটি সাম্যাবস্থায় থাকবে?
- A. 3 Ω
- B. 5 Ω
- C. 8Ω
- D. 3.5 Ω
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260 . 3,4 ডাইমিথাইল প্যান্টিন -2 অণুতে মিথাইল গ্রুপের সংখ্যা হলো -
- A. দুই
- B. তিন
- C. চার
- D. পাঁচ
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261 . একটি সরলরেখা (3,5) বিন্দু দিয়ে যায় এবং অক্ষদ্বয় হতে বিপরীত চিহ্নবিশিষ্ট সমমানের অংশ ছেদ করে। সরলরেখাটির সমীকরণ কি?
- A. x-y +2=0
- B. x-2y+ 7=0
- C. x +y -8=0
- D. 2x -2y +1=0
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262 . একটি কণার উপর সেকেন্ড 3, 5 ও 7 মিটার /সে. মানের তিনটি বেগ ভিন্ন ভিন্ন দিক হতে কার্যরত থাকলেও স্থিতিশীল রয়েছে। ক্ষুদ্রতর দুইটি বেগের মধ্যবর্তী কোণটির পরিমাণ কত?
- A. 90 °
- B. 30 °
- C. 60 °
- D. 45 °
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263 . এখানে, 2+1=3 3+2=5 5+3=8 8+4=12 12+5=17 17+6=23 (Ans)
-
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264 . A = { 1,3,5,7 } হলে, A এর প্রকৃত উপসেট কয়টি ?
- A. 18
- B. 16
- C. 14
- D. 15
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265 . 1, 3, 6, 10, 15, 21, ধারাটির দশম পদ কত?
- A. 45
- B. 55
- C. 62
- D. 65
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266 . যদি A={1,2,3,4} একটি সেট হয়, তবে উহার উপসেটের সংখ্যা কত হবে?
- A. 8
- B. 12
- C. 24
- D. 16
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267 . (-4,2) ও (-3,-1) বিন্দুদ্বয়ের সংযোজক সরল রেখাংশকে যে বিন্দুটি 2:3 অনুপাতে বহির্বিভক্ত করে তার স্থানাঙ্ক-
- A. (8,-4)
- B. (-4,-8)
- C. (6,8)
- D. ?
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268 . যদি ∪ = {1, 2,3,… …. …. 10} X = { 1,3,5} এবং ∪ = {2,4,6} হয়,তবে, (X ∩ Y) এর মান কোনটি?
- A. X
- B. Y
- C. φ
- D. ∪
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269 . সেট D = {5,4,3,2,1} এর একটি সাব-সেট হচ্ছে-
- A. {4,3,2}
- B. {0,1,4}
- C. {5,1,0}
- D. {7,2,1}
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270 . এখানে, 2+1=3 3+2=5 5+3=8 8+4=12 12+5=17 17+6=23
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271 . To find the sets X and Y based on the given information, we need to interpret the provided conditions step by step. ### Given: 1. X ∪ Y = { 1 , 2 , 3 , 5 , 6 , 8 , 9 , 10 } 2. X ∩ Y = { 1 , 5 } 3. Y − X = { 2 , 6 , 9 , 10 } ### Step 1: Using Y − X From condition 3, we know that: Y − X = { 2 , 6 , 9 , 10 } This means that the elements 2 , 6 , 9 , and 10 are in Y but not in X . Therefore, we can express Y as: Y = ( Y − X ) ∪ ( X ∩ Y ) Since X ∩ Y = { 1 , 5 } , we can write: Y = { 2 , 6 , 9 , 10 } ∪ { 1 , 5 } = { 1 , 2 , 5 , 6 , 9 , 10 } ### Step 2: Using X ∪ Y Now, we know: X ∪ Y = { 1 , 2 , 3 , 5 , 6 , 8 , 9 , 10 } And we have Y = { 1 , 2 , 5 , 6 , 9 , 10 } . Now we can find X : X = ( X ∪ Y ) − Y This gives us: X = { 1 , 2 , 3 , 5 , 6 , 8 , 9 , 10 } − { 1 , 2 , 5 , 6 , 9 , 10 } Calculating this, we get: X = { 3 , 8 } ### Step 3: Verification Now we need to verify if the derived sets satisfy all the conditions. - **Checking X ∪ Y **: X ∪ Y = { 3 , 8 } ∪ { 1 , 2 , 5 , 6 , 9 , 10 } = { 1 , 2 , 3 , 5 , 6 , 8 , 9 , 10 } (True) - **Checking X ∩ Y **: X ∩ Y = { 3 , 8 } ∩ { 1 , 2 , 5 , 6 , 9 , 10 } = { 1 , 5 } (True) - **Checking Y − X **: Y − X = { 1 , 2 , 5 , 6 , 9 , 10 } − { 3 , 8 } = { 2 , 6 , 9 , 10 } (True) ### Conclusion Thus, the sets X and Y are: X = { 3 , 8 } Y = { 1 , 2 , 5 , 6 , 9 , 10 }
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272 . questions/23-11-2024-7-54-pm-1111.png
- A. 77
- B. 67
- C. 87
- D. 95
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273 . a - b = 3, ab = 4 হলে a2 + b2 এর মান কত?
- A. 12
- B. 15
- C. 17
- D. 20
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274 . The price of commodity X increases by 40 paisa every year, while the price of commodity Y increases by 15 paisa every year. If in 2023, the price of commodity X was Tk. 4.20 and that of Y was Tk. 6.30, in which year commodity X will cost 40 paisa more than the commodity Y?
- A. 2032
- B. 2033
- C. 2034
- D. 2035
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275 . In an essay competition, a winner gets a prize of Tk 100 and a participant who does not win gets a prize of Tk 25. The total prize money distributed is Tk 3,000. Find the number of winners, if the total number of participants is 63.
- A. 15
- B. 17
- C. 19
- D. 21
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276 . How many different numbers of two digits can be formed with the digits 1, 2, 3, 4, 5, 6; no digit being repeated?
- A. 40
- B. 30
- C. 35
- D. 45
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277 . A={1,2,3}, B={3,5} হলে A∩B = ?
- A. {5}
- B. {2,3}
- C. {3}
- D. {1,2,3,5}
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278 . What handheld communication device, invented by martin Cooper in 1973, is considered the precursor to modern cell phones?
- A. Pager
- B. Walkie-Talkie
- C. Cordless phone
- D. Brick phone
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279 . A student was asked to find the arithmetic mean of the numbers 3, 11. 7 .9, 15, 8, 19 ,17,14 and p. He found the mean to be 12. What should be the number in place of p?
- A. 7
- B. 3
- C. 17
- D. 31
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280 . If a=4, b=5, c=3, what is the value of 4ab-6ac+2bc?
- A. 38
- B. 122
- C. 182
- D. 22
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281 . What is the next number in the following series?1, 1, 2, 3, 5, 8, 13
- A. 20
- B. 21
- C. 22
- D. 23
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282 . What is the rate of discount car was purchased at BDT 4,00,000 and sold for BDT 3,20.000?
- A. 14 percent
- B. 16 percent
- C. 18 percent
- D. 20 percent
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