1 . (2x-1)(x+3)=2x(x+1)হলে, x=কত?
- A. 1
- B. 2
- C. 3
- D. -1
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2 . If 3 / (x-1) = 2/(x+1), what is the value of x ?
- A. -5
- B. -1
- C. 0
- D. 1
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3 . If (x + 3)2 = 225, Which of the following can be the value of x-1?
- A. 13
- B. 12
- C. -12
- D. -19
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4 . Per column inch (1 column x 1 inch) area newspaper advertisment costs Tk.1200. How much would a "5 columns by 3 inches" newspaper advertisment cost?
- A. Tk.3600
- B. Tk.6000
- C. Tk.9600
- D. Tk.18000
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5 . (x-1 + y-1)-1 এর সরলকৃত রাশি কোনটি?
- A. y/(x - y)
- B. xy/(x + y)
- C. x/(x + y)
- D. xy/(x - y)
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6 . 3x / 3x-1 এর মান কত?
- A. 1
- B. 2
- C. 0
- D. 3
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7 . 12(1x-1 - 1x+1) - 1x2 + 1 = কত?
- A. 2x4 + 1
- B. 2x2x4 - 1
- C. 2x2x4 + 1
- D. 2x4 - 1
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8 . x-1=4 এবং xy =60 হলে, X+Y এর মান কত?
- A. 16
- B. ± 16
- C. 4
- D. ± 64
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9 . A body of mass 500 g is fastened to one end of steel with of length 2 m and area of cross-section 2 mn2, It the breaking stress of the wire is 1.25 x 10/7, then the maximum angular velocity with which the body can be rotated in a horizontal circle is:
- A. 2rad/s
- B. 3 rad/2
- C. 4 rad/s
- D. 5 rad/s
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10 . If f(x)=2x-1 and g(x)=x², what is the value of f(g(-3))?
- A. -7
- B. 2
- C. 9
- D. 17
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11 . (3x-1) not = 2x is true for all values of x EXCEPT
- A. X not = 1
- B. x =-1
- C. x =1
- D. none of these
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12 . the value of k,if(x-1) is a factor of 4X6^3+3X^2-4X+k, is-
- A. 1
- B. 2
- C. -3
- D. 3
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13 . If 6x-14<8x+2, which of the following must be true ?
- A. x<2
- B. x>8
- C. x<8
- D. x>-8
- D. None of these
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14 . If 2x-1=9, what is 10x-5 ---
- A. 45
- B. 35
- C. 55
- D. 95
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15 . If x/y>(x-1)/(y-1), Which of the following must be true?
- A. x>1
- B. x>y
- C. x< y
- D. None of these
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16 . If (x-1)^2 =400, which of the following could be the value of x-5?
- A. 15
- B. 14
- C. -24
- D. -25
- D. none of them
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17 . (x-7) (4x-29)=(2x-5) (2x-17) +1 হলে x এর মান হবে-
- A. 9
- B. 10
- C. -7
- D. -9
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18 . x-2x-1 + 1x-1 - 2=0
- A.
- B.
- C.
- D.
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19 . x2-3x-10>0
- A.
- B.
- C.
- D.
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20 . 32x+1=33x-1
- A.
- B.
- C.
- D.
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21 . x-1x=7
- A. 334
- B. 354
- C. 364
- D. 512
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22 . x2+12=5x2
- A.
- B.
- C.
- D.
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23 . 5x+1=532x-1
- A.
- B.
- C.
- D.
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24 . x2-2x-1=0
- A.
- B.
- C.
- D.
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25 . lnxx-1
- A.
- B.
- C.
- D.
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26 . x2-11x+30
- A.
- B.
- C.
- D.
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27 . x2-11x+30
- A.
- B.
- C.
- D.
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28 . fx=2x2+3x-1
- A.
- B.
- C.
- D.
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29 . x2-11x+30
- A.
- B.
- C.
- D.
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30 . 2x2-x-15
- A. (x+6)(x-5)
- B. (x-5)(x-6)
- C. (x+3)(2x-5)
- D. (2x+5)(x-3)
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31 . x-1x=2
- A.
- B.
- C.
- D.
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32 . 16x2-25y2
- A.
- B.
- C.
- D.
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33 . x-1x=2
- A. 32
- B. 33
- C. 34
- D. 35
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34 . x-1y.y-1z.z-1.x
- A.
- B.
- C.
- D.
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35 . x-1x=3
- A.
- B.
- C.
- D.
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36 . 3x+1=332x-1
- A.
- B.
- C.
- D.
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37 . Fx=x-12
- A. 36
- B. 16
- C. 35
- D. 28
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38 . x-1x=2
- A. 4
- B. 12
- C. 14
- D. 16
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39 . 2x2+x-15
- A.
- B.
- C.
- D.
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40 . x-1x=4
- A. 18
- B. 16
- C. 14
- D. 22
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41 . x-1x=2
- A. 30
- B. 31
- C. 32
- D. 34
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42 . 4x2-13x-12
- A.
- B.
- C.
- D.
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43 . x-1x=7
- A. 49
- B. 50
- C. 51
- D. 52
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44 . x-1x=2
- A. 12
- B. 14
- C. 2
- D. 4
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45 . x-1x=4
- A. 18
- B. 16
- C. 11
- D. 15
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46 . x-1x=5
- A.
- B.
- C.
- D.
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47 . 12x2+7x-10
- A.
- B.
- C.
- D.
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48 . x-1x=4
- A. 34
- B. 31
- C. 32
- D. 3
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49 . x-1x=2
- A. 30
- B. 31
- C. 32
- D. 34
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50 . x+14x-7-x-1x+5=3x-22+5
- A. 3
- B. 5
- C. -1
- D. -3
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51 . x-1x2=3
- A.
- B.
- C.
- D.
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52 . x-1x=4
- A. 10
- B. 14
- C. 16
- D. 18
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53 . A=x∈N:x2-5x-14=0
- A.
- B.
- C.
- D.
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54 . 1+3+5+.........+2x-1
- A.
- B.
- C.
- D.
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55 . 6x3-11x2+6x-1=0
- A. 6
- B. 1
- C.
- D. -1
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56 . 1x-1<2
- A.
- B.
- C.
- D.
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57 . x-12
- A.
- B.
- C.
- D.
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58 . Of the following, which is the closest to (6.01 x 501)/(25.05 x 19.99)?
- A. 6
- B. 8
- C. 10
- D. 15
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59 . if(x+3)^2=225,which of the following can be the value of x-1 ?
- A. 13
- B. 12
- C. -12
- D. 11
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60 . 0<x≤1
- A. 1
- B. 2
- C. 0
- D. -1
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61 . Find the number of zeroes in 10 x 20 x 30x……x 1000.
- A. 100
- B. 124
- C. 130
- D. 154
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62 . fx=x2+1x-1-1
- A.
- B.
- C.
- D.
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63 . The inverse of f(x) =2x-1 is
- A. (x-1)/2
- B. (x+1)/2
- C. 2x-1
- D. 2x-1
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64 . x-12
- A. ৩৬
- B. ১৬
- C. ৩৫
- D. ২৮
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65 . 4x2-13x-12
- A.
- B.
- C.
- D.
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66 . 2x4+x-15
- A. (x-3)(2x-5)
- B.
- C.
- D.
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67 . 3x+3x-1=12
- A. 1
- B. -2
- C. -1
- D. 2
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68 . 12x2+7x-10
- A.
- B.
- C.
- D.
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69 . abx-1=bax-3
- A. 1
- B. 2
- C.
- D.
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70 . x-11<4x+1
- A. x>-4
- B. x> 4
- C. x<-4
- D. x<4
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71 . 3x2-16x-12
- A. (3x -2) (x +6)
- B. (3x -2) ( x-6)
- C. (3x -6) (3x+2)
- D. 3(x-6) (x-2)
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72 . x4-x-1=0
- A. 0
- B. 1
- C. 2
- D. 4
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73 . 2x2+x-15
- A. (x+3)(2x-5)
- B. (x-3)(2x-5)
- C. (x-3)(2x+5)
- D. (x+3)(2x+5)
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74 . 3x3+x-10
- A.
- B.
- C.
- D.
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75 . 3x2-x-10
- A. (x+2)(3x-5)
- B. (x+2)(3x-5)
- C. (x-2)(3x-5)
- D. (x-2)(3x+5)
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76 . x2-4x-1=0
- A. 4
- B. 3
- C. 2
- D. 1
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77 . If box 1 is correctly labeled, which of the following must be true?
- A. Box 2 contains no large hats.
- B. Box 4 contains some small hats.
- C. Box 4 contains some large hats.
- D. Box 2 contains no small hats.
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78 . If box 1 and 4 are the mislabeled boxes, which of the following must be true?
- A. Box 3 contains some hats of all three sizes.
- B. Box 3 contains no medium-size hats.
- C. Box 3 contains no large hats.
- D. Box 1 contains some hats of all three sizes.
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79 . কাগজের ভার হিসাবে ব্যবহৃত একটি পুরু কাচ (প্রতিসরাঙ্ক 1.5) খণ্ডের উপর থেকে খাড়া নীচের দিকে তাকালে কাগজের উপর একটি দাগ কাচের উপর প্রান্ত থেকে 6 cm নীচে দেখা যায়। কাচ খন্ডটির পুরুত্ব কত? (When you look downward from the top of a thick glass (refractive index 1.5) slab used as a paper weight, a mark on the paper is seen 6 cm below from the top of the slab. What is the thickness of the glass slab?)
- A. 4 cm
- B. 6 cm
- C. 9 cm
- D. 12 cm
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80 . gx=3x-12x+9
- A.
- B.
- C.
- D.
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81 . একটি আবেশকের স্বকীয় আবেশ 10 H এত 6.0x 10-2 s বিদ্যুৎ প্রবাহ 10 এ হতে 7 এ পরিবরতিত হয় । এত আবিষ্ট তড়িৎ চালক বল কত?
- A. 500 v
- B. 600 v
- C. 700 v
- D. 400 v
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82 . limx→0ex-1tan2xx3=
- A. -1
- B. 1
- C. 4
- D. 3
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83 . x2-5x-1=0
- A.
- B.
- C.
- D.
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84 . limx→01+x-1-xx=?
- A. 1
- B. 2
- C. 3
- D. -1
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85 . 4x+32x-3x-1
- A. 7
- B. 6
- C. 5
- D. 3
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86 . y2=4x,x-1=0
- A.
- B.
- C.
- D.
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87 . x19-6x11+k
- A. 5
- B. -5
- C. 6
- D. -6
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88 . x2+y2-8x-12y+p=0
- A. 16
- B. -18
- C. -16
- D. 18
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89 . gx=3x-12x+9
- A.
- B.
- C.
- D.
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90 . (2x-1) (x+3)=2x(x+1) হলে x=?
- A. 3
- B. 2
- C. 1
- D. 8
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91 . yx-1x-2-x+3=0
- A. 2x – 2y - 3 = 0
- B. x – 2y - 3 = 0
- C. x + 2y + 3 = 0
- D. x + 2y - 3 = 0
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92 . limx→01+2x-1-3xx=
- A. 0
- B. 1
- C. -1
- D. কোনটিই নয়
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93 . limx→12x2-2k+1x2+2x+kx-1=-6
- A. 1
- B. -1
- C. 3
- D.
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94 . একটি বিচ্ছিন্ন দৈব চলক X এর সম্ভাবনা বিন্যাস নিম্নরূপ হলে k এর মান কত? (Find the value of k from the following probability mass function of a random variable X.) x 1 2 3 4 5 P(x) 0.2 2 k 0.15 k 0.3
- A. 1/60
- B. 1/12
- C. 7/60
- D. 9/60
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95 . limx→0=ex-1x
- A. 0
- B. ∞
- C. 1
- D. -1
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96 . x2-6x-1+k2x+1=0
- A. 3 অথবা 6
- B. 2 অথবা 5
- C. 2 অথবা 6
- D. 3 অথবা 5
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97 . 16x2+9y2-32x-128=0
- A. 12π
- B. 10π
- C. 14π
- D. 7π
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98 . ∫02x-1dx=?
- A.
- B.
- C.
- D.
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99 . |x-1|>2 অসমতার সমাধান কোনটি?
- A. -1>x>3
- B. x>3 এবং x<-1
- C. -1
- D. x>3 অথবা x<-1
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100 . যে সমীকরণের মূলগুলো x²-5x-1=0 সমীকরণের মূলগুলো হতে 2 ছোট, তা -
- A. x²-x-7=0
- B. x²-x-1=0
- C. x²-x+7=0
- D.
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101 . (x+p)/(x-1)(x-3)≡q/(x-1) + 2/(x-3) হয়, যেখানে p ও q ধ্রবক,তবে p ও q এর মান-
- A. p=-2 , q=1
- B. p=2 , q=1
- C. p= 1 , q=-1
- D. p= 1 , q=1
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102 . সরলরেখা y=mx-1 বক্ররেখা y=x²+3 এর স্পর্শক হবে যদি m এর মান-
- A. 1
- B. 2√2
- C. 3
- D. ±4
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103 . x-1/x = 4 হলে, x4 + 1/ x4 এর মান কত?
- A. 246
- B. 286
- C. 322
- D. 354
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104 . (13.8 x 1.9 ÷ 5.7+ 11.2 of (1/16)-(1/20)=?
- A. 5.50
- B. 5.225
- C. 55.22
- D. 5.25
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105 . x+1x
- A. 29
- B. 31
- C. 32
- D. 34
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106 . x-1x
- A. 620
- B. 443
- C. 632
- D. 843
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107 . যদি 2x+5=3x-12 হয়, তাহলে x এর মান কত?
- A. ৯
- B. ৫
- C. ১৭
- D. ১৬
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108 . 3x3x-1
- A. 2
- B. 1
- C. 3
- D. 0
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109 . 5x+3=532x-1
- A. 5
- B. 4
- C. 3
- D. 1
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110 . x-1x=5
- A.
- B.
- C. 5
- D. 8
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111 . A=812-1
- A. 9
- B.
- C.
- D.
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112 . x-1/x=1
- A. 4.0
- B. 1.0
- C. 2.0
- D. 3.0
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113 . 4x2-3x-1=0
- A.
- B.
- C.
- D.
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114 . 2x-12+x-5
- A.
- B. 2x
- C.
- D.
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115 . x+1x
- A. 0
- B. 1
- C. 2
- D. 4
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116 . x+1x=6
- A. 32
- B. 30
- C. 34
- D. 28
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117 . ∫(x)=4x-1
- A.
- B.
- C.
- D.
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118 . 3x2-x-10
- A.
- B.
- C.
- D.
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119 . x-1x=1
- A. 1
- B. 3
- C. 4
- D. 9
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120 . 3x2+x-10
- A. 3x-5
- B. x+2
- C.
- D.
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121 . 3x2+x-10
- A.
- B. 2x + 5
- C. 3x – 5
- D. 2x + 5
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122 . x-1x=3, x2+1x2=?
- A. 13
- B. 11
- C. 9
- D. 15
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123 . x2-6x+5x-1
- A. x - 1
- B. x - 5
- C. x - 6
- D. (x - 1)(x - 5)
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124 . x+1x=2
- A. 1
- B. 2
- C. 3
- D. 4
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125 . -12x-14y+1xy+18=?
- A.
- B.
- C.
- D.
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126 . 3x2+x-10
- A. (3x−5)(x+2)
- B. (x-2)(3x-5)
- C. (x+2)(3x+5)
- D. (3x+2)(x-5)
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127 . x4-x2-1=0
- A. 0
- B. 1
- C. 2
- D. 3
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128 . 4x2-13x-12
- A.
- B.
- C.
- D.
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129 . 2x4+x-15
- A.
- B.
- C.
- D.
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130 . x+12=4
- A. -3
- B. -1
- C. 1
- D. 5
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131 . x-13=K
- A. 2
- B. 4
- C. 9
- D. 10
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132 . x=43
- A. 1
- B. 2
- C. -1
- D. -2
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133 . x2+4y2+8x-16y+16
- A. -4xy
- B. 4xy
- C. -2xy
- D. 2xy
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134 . x-1x=3
- A. 11
- B. 9
- C. 15
- D. 7
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135 . x2+6x-16
- A. (x + 3) (x - 5)
- B. (x-4)(x+5)
- C. (x+2)(x-8)
- D. (x-2)(x+8)
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136 . x2-x-1
- A. It is always odd.
- B. It is always even.
- C. It is always positive.
- D. It is even when x is even and odd when x is odd.
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137 . x-1x=4
- A. 34
- B. 32
- C. 31
- D. 30
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138 . x+1x=2
- A. 1
- B. -1
- C. 0
- D. 2
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139 . f(x)=x3-x2-x-18
- A. 0
- B. 1
- C. 2
- D. 3
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140 . x-2x-1+1x-1=2
- A. {1}
- B. {0}
- C. {2}
- D. {4}
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141 . x-1y. y-1.z. z-1.x
- A. 2
- B. 3
- C. 4
- D. 1
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142 . x+3>2x-1
- A.
- B.
- C.
- D.
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143 . x2-11x+30
- A.
- B.
- C.
- D.
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144 . 24x-12=16
- A. 2
- B. 4
- C. 6
- D. 8
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145 . 1x-1y=2
- A. 4
- B. 1
- C. 6
- D. 8
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146 . 2x2+2y2-4x-12+11=0
- A.
- B.
- C.
- D.
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147 . 3mx-1=3amx-2
- A.
- B.
- C.
- D. কোনোটিই নয়
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148 . x-1dx=
- A. ∞
- B. 1nx
- C. 𝑥°
- D. 1n|x|
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149 . 3x3-x-14
- A. (3x+7)(x+2)
- B. (3x-7)(x+2)
- C. (3x+7)(x-2)
- D. (3x-7)(x-2)
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150 . 36x2-8x+5+2x-1
- A. 5
- B. 10
- C. 8
- D. 15
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151 . if2x-12
- A. -11/2
- B. -9/2
- C. 11/2
- D. 13/2
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152 . x-1/x=7
- A. 49
- B. 50
- C. 51
- D. 52
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153 . x-1x=2
- A. 32
- B. 33
- C. 34
- D. 35
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154 . 2(3x-5)= -(x-11) কে সমাধান করলে x-এর মান হবে ---
- A. 5
- B. 3
- C. -2
- D. -3
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155 . x-1x=5
- A. 8√5
- B. 10√5
- C. 5
- D. 8
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156 . x-1=2x,
- A.
- B.
- C.
- D.
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157 . x-1x=3
- A. 5
- B. 01
- C. 11
- D. 7
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158 . x+1x=4
- A. 1
- B. 2
- C. 3
- D. কোনোটিই নয়
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159 . x2-4x-1=0
- A. 4
- B. 3
- C. 2
- D. 1
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160 . 3x/3x-1
- A. 1
- B. 2
- C. 0
- D. 3
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161 . ifx-13=x
- A. 2
- B. 4
- C. 9
- D. 10
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162 . y=3x2+2x-1
- A. 0
- B. 8
- C. 14
- D. 16
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163 . x-1x=52
- A. 25
- B. 29
- C. 28
- D. 27
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164 . (3)x+1=(33)2x-1
- A. 3
- B. 4
- C. 5
- D. 6
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165 . x2+1x2=38
- A.
- B.
- C.
- D.
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166 . x2-3x+1=0
- A.
- B.
- C.
- D.
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167 . x-1x=6
- A.
- B.
- C.
- D.
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168 . x-1x=32
- A.
- B.
- C.
- D.
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169 . x=3+22
- A.
- B.
- C.
- D.
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170 . x-1x=3
- A.
- B.
- C.
- D. কোনোটিই নয়
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171 . x-1/x=1
- A. 4.0
- B. 1.0
- C. 2.0
- D. 3.0
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172 . ∫xx+3x-1=
- A.
- B.
- C.
- D.
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173 . x+1x=2
- A. 0
- B. 1
- C. 2
- D. 4
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174 . x-1x=5
- A.
- B.
- C.
- D.
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175 . 1x+1y=3
- A.
- B.
- C.
- D.
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176 . x:x3-3x2+3x-1=0
- A.
- B.
- C.
- D.
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177 . 2x+35+2=x-12
- A.
- B.
- C.
- D.
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178 . x-1x+2=0
- A. -1 অথবা 2
- B. 1 অথবা 2
- C. 1 অথবা -2
- D. -1 অথবা -2
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179 . if 2x-1≥-3,then-
- A.
- B.
- C.
- D.
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180 . x4-x3+x2x-1=?
- A.
- B.
- C.
- D.
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181 . y=2x-1
- A.
- B.
- C.
- D.
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182 . x2-1,x4-1
- A.
- B.
- C.
- D.
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183 . 2x4+x-15
- A.
- B.
- C.
- D.
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184 . x-1
- A.
- B.
- C.
- D.
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185 . x+1/x=3
- A.
- B.
- C.
- D.
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186 . What is the unit digit in the product 84 x 59 x 13 x 76?
- A. 2
- B. 4
- C. 6
- D. 8
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187 . 22x-1=18x-3
- A.
- B.
- C.
- D.
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188 . A rectangular tank with dimensions 80 cm X 60 cm X 15 cm can be filled with tap A at the rate of 680 cm every 2 minutes and can be emptied with tap 1 at the rate of 140 cm every minute. It Jamal leaves both taps open at 2:30 pm, when will the tank be filed to 1 /3'' prime its capacity?
- A. 3.45 pm
- B. 4.15 pm
- C. 4.30 pm
- D. 5.15 pm
- D. 5.30 pm
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189 . A9 cm X 8 cm X 15 cm block of ice is being melted to make identical ice cubes. If surface area of any two sides of the cubes has to be 72 cm2, how many ice cubes can be made?
- A. 3
- B. 5
- C. 7
- D. 9
- D. 11
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190 . x2-x-12=0
- A.
- B.
- C.
- D.
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191 . y=ax-1
- A.
- B.
- C.
- D.
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192 . 2x-1x8
- A.
- B.
- C.
- D.
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193 . limx→0cosx-1x2=?
- A.
- B.
- C.
- D.
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