1 . (2x-1)(x+3)=2x(x+1)হলে, x=কত?

• A. 1
• B. 2
• C. 3
• D. -1

Answer: Option A

Explanation:

2 . If 3 / (x-1) = 2/(x+1), what is the value of x ?

• A. -5
• B. -1
• C. 0
• D. 1

Answer: Option A

Explanation:

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

Answer: Option A

Explanation:

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

Answer: Option D

Explanation:

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)

Answer: Option B

Explanation:

6 . 3x / 3x-1 এর মান কত?

• A. 1
• B. 2
• C. 0
• D. 3

Answer: Option D

Explanation:

7 . 12(1x-1 - 1x+1) - 1x2 + 1 = কত?

• A. 2x4 + 1
• B. 2x2x4 - 1
• C. 2x2x4 + 1
• D. 2x4 - 1

Answer: Option D

Explanation:

8 . x-1=4 এবং xy =60 হলে, X+Y এর মান কত?

• A. 16
• B. ± 16
• C. 4
• D. ± 64

Answer: Option B

Explanation:

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

Answer: Option D

Explanation:

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

Answer: Option D

Explanation:

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

Answer: Option C

Explanation:

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

Answer: Option C

Explanation:

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

Answer: Option D

Explanation:

14 . If 2x-1=9, what is 10x-5 ---

• A. 45
• B. 35
• C. 55
• D. 95

Answer: Option A

Explanation:

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

Answer: Option C

Explanation:

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

Answer: Option C

Explanation:

17 . (x-7) (4x-29)=(2x-5) (2x-17) +1 হলে x এর মান হবে-

• A. 9
• B. 10
• C. -7
• D. -9

Answer: Option A

Explanation:

18 . x-2x-1 + 1x-1 - 2=0

• A. $\left\{\varnothing \right\}$
• B. $\left\{1\right\}$
• C. $\left\{-1\right\}$
• D. $\left\{2\right\}$

Answer: Option B

Explanation:

19 . x2-3x-10>0

• A. $\left(-\infty ,-1\right)\cup \left(4,+\infty \right)$
• B. $\left(-\infty ,-2\right)\cup \left(5,+\infty \right)$
• C. $\left(\infty ,2\right)\cup \left(5,+\infty \right)$
• D. $\left(-5,-\infty \right)\cup \left(\infty ,2\right)$

Answer: Option B

Explanation:

20 . 32x+1=33x-1

• A. $-\frac{5}{4}$
• B. $-\frac{4}{5}$
• C. $\frac{4}{5}$
• D. $\frac{5}{4}$

Answer: Option B

Explanation:

21 . x-1x=7

• A. 334
• B. 354
• C. 364
• D. 512

Answer: Option C

Explanation:

22 . x2+12=5x2

• A. $\sqrt{3}$
• B. $1$
• C. $2\sqrt{2}$
• D. $8$

Answer: Option B

Explanation:

23 . 5x+1=532x-1

• A. $\frac{2}{5}$
• B. $\frac{1}{3}$
• C. $3$
• D. $5$

Answer: Option D

Explanation:

24 . x2-2x-1=0

• A. $4$
• B. $2\sqrt{2}$
• C. $4\sqrt{2}$
• D. $8$

Answer: Option B

Explanation:

25 . lnxx-1

• A. $x>0gএবংx=not1$
• B. $x\ge 0gএবংx=not1$
• C. $x>0gঅথবাx=not1$
• D. $x\ge 0gঅথবাx=not1$

Answer: Option C

Explanation:

26 . x2-11x+30

• A. $x-5$
• B. $x-6$
• C. $x^2+x+3$
• D. $x^2-x-3$

Answer: Option A

Explanation:

27 . x2-11x+30

• A. $x-5$
• B. $x-6$
• C. $x^2+x+3$
• D. $x^2-x-3$

Answer: Option A

Explanation:

28 . fx=2x2+3x-1

• A. $6$
• B. $4$
• C. $1$
• D. $-1$

Answer: Option D

Explanation:

29 . x2-11x+30

• A. $x-5$
• B. $x-6$
• C. $x^2+x+3$
• D. $x^2-x+3$

Answer: Option A

Explanation:

30 . 2x2-x-15

• A. (x+6)(x-5)
• B. (x-5)(x-6)
• C. (x+3)(2x-5)
• D. (2x+5)(x-3)

Answer: Option D

Explanation:

31 . x-1x=2

• A. $1$
• B. $2$
• C. $5\sqrt{2}$
• D. $6\sqrt{2}$

Answer: Option C

Explanation:

32 . 16x2-25y2

• A. $6ax-10ay$
• B. $4x+5y$
• C. $4ax-5ay$
• D. $4x-5y$

Answer: Option D

Explanation:

33 . x-1y.y-1z.z-1.x

• A. $0$
• B. $1$
• C. $xyz$
• D. $\sqrt{xyz}$

Answer: Option B

Explanation:

34 . x-1x=3

• A. $11$
• B. $10$
• C. $9$
• D. $7$

Answer: Option A

Explanation:

35 . 3x+1=332x-1

• A. $4$
• B. $5$
• C. $6$
• D. $7$

Answer: Option B

Explanation:

36 . Fx=x-12

• A. 36
• B. 16
• C. 35
• D. 28

Answer: Option B

Explanation:

37 . x-1x=2

• A. 4
• B. 12
• C. 14
• D. 16

Answer: Option C

Explanation:

38 . 2x2+x-15

• A. $\left(x+3\right)\left(2x-5\right)$
• B. $\left(x-3\right)\left(2x-5\right)$
• C. $\left(x-3\right)\left(2x+5\right)$
• D. $\left(x+3\right)\left(2x+5\right)$

Answer: Option A

Explanation:

39 . x-1x=2

• A. 30
• B. 31
• C. 32
• D. 34

Answer: Option D

Explanation:

40 . 4x2-13x-12

• A. $\left(x-4\right)\left(4x+3\right)$
• B. $\left(2x-4\right)\left(2x-3\right)$
• C. $\left(2x-4\right)\left(2x+3\right)$
• D. $\left(x+4\right)\left(4x+3\right)$

Answer: Option A

Explanation:

41 . x-1x=7

• A. 49
• B. 50
• C. 51
• D. 52

Answer: Option C

Explanation:

42 . 12x2+7x-10

• A. $\left(3x+5\right)\left(4x-2\right)$
• B. $\left(3x-5\right)\left(4x+2\right)$
• C. $\left(4x+5\right)\left(3x-2\right)$
• D. $\left(4x-5\right)\left(3x+2\right)$

Answer: Option C

Explanation:

43 . x-1x=4

• A. 34
• B. 31
• C. 32
• D. 3

Answer: Option A

Explanation:

44 . x+14x-7-x-1x+5=3x-22+5

• A. 3
• B. 5
• C. -1
• D. -3

Answer: Option C

Explanation:

45 . x-1x2=3

• A. $0$
• B. $6$
• C. $6\sqrt{3}$
• D. $9$

Answer: Option C

Explanation:

46 . x-1x=4

• A. 10
• B. 14
• C. 16
• D. 18

Answer: Option D

Explanation:

47 . A=x∈N:x2-5x-14=0

• A. $\left\{6,1\right\}$
• B. $\left\{-2,7\right\}$
• C. $\left\{2,7\right\}$
• D. $\left\{7\right\}$

Answer: Option D

Explanation:

48 . 1+3+5+.........+2x-1

• A. $x\left(x-1\right)$
• B. $\frac{x\left(x+1\right)}{2}$
• C. $x\left(x+1\right)$
• D. $x^2$

Answer: Option D

Explanation:

49 . 6x3-11x2+6x-1=0

• A. 6
• B. 1
• C. $\frac{11}{6}$
• D. -1

Answer: Option B

Explanation:

50 . 1x-1<2

• A. $\left(-\alpha ,1\right)\cup \left(1,+\alpha \right)$
• B. $\left(-\alpha ,0\right)\cup \left(0,\alpha \right)$
• C. $\left(-\alpha ,\frac{1}{3}\right)\cup \left(\frac{1}{2},\alpha \right)$
• D. $\left(-\alpha ,\frac{1}{2}\right)\cup \left(\frac{1}{2},\alpha \right)$

Answer: Option D

Explanation:

51 . x-12

• A. $\left(x-4\right)\left(x+6\right)$
• B. $\left(x-1\right)\left(x-1\right)$
• C. $\left(x+24\right)\left(x-24\right)$
• D. $\left(x-24\right)\left(x+26\right)$

Answer: Option B

Explanation:

52 . 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

Answer: Option A

Explanation:

53 . if(x+3)^2=225,which of the following can be the value of x-1 ?

• A. 13
• B. 12
• C. -12
• D. 11

Answer: Option D

Explanation:

54 . 0<x≤1

• A. 1
• B. 2
• C. 0
• D. -1

Answer: Option A

Explanation:

55 . Find the number of zeroes in 10 x 20 x 30x……x 1000.

• A. 100
• B. 124
• C. 130
• D. 154

Answer: Option B

Explanation:

56 . fx=x2+1x-1-1

• A. $f\left(0\right)=\infty$
• B. $f\left(1\right)=-1$
• C. $f\left(1\right)=0$
• D. $f\left(-1\right)=-1$

Answer: Option D

Explanation:

57 . The inverse of f(x) =2x-1 is

• A. (x-1)/2
• B. (x+1)/2
• C. 2x-1
• D. 2x-1

Answer: Option B

Explanation:

58 . x-12

• A. ৩৬
• B. ১৬
• C. ৩৫
• D. ২৮

Answer: Option B

Explanation:

59 . 4x2-13x-12

• A. $\left(x-4\right)\left(4x+3\right)$
• B. $\left(2x-4\right)\left(2x-3\right)$
• C. $\left(2x-4\right)\left(2x+3\right)$
• D. $\left(x+4\right)\left(4x-3\right)$

Answer: Option A

Explanation:

60 . 2x4+x-15

• A. (x-3)(2x-5)
• B. $\left(x+3\right)\left(2x+5\right)$
• C. $\left(x+3\right)\left(2x-5\right)$
• D. $\left(x-3\right)\left(2x+5\right)$

Answer: Option B

Explanation:

61 . 3x+3x-1=12

• A. 1
• B. -2
• C. -1
• D. 2

Answer: Option D

Explanation:

62 . 12x2+7x-10

• A. $\left(3x+5\right)\left(4x-2\right)$
• B. $\left(3x-5\right)\left(4x+2\right)$
• C. $\left(4x+5\right)\left(3x-2\right)$
• D. $\left(4x-5\right)\left(3x+2\right)$

Answer: Option C

Explanation:

63 . abx-1=bax-3

• A. 1
• B. 2
• C. $\frac{1}{2}$
• D. $\frac{1}{7}$

Answer: Option B

Explanation:

64 . x-11<4x+1

• A. x>-4
• B. x> 4
• C. x<-4
• D. x<4

Answer: Option A

Explanation:

65 . 3x2-16x-12

• A. (3x -2) (x +6)
• B. (3x -2) ( x-6)
• C. (3x -6) (3x+2)
• D. 3(x-6) (x-2)

Answer: Option C

Explanation:

66 . x4-x-1=0

• A. 0
• B. 1
• C. 2
• D. 4

Answer: Option B

Explanation:

67 . 2x2+x-15

• A. (x+3)(2x-5)
• B. (x-3)(2x-5)
• C. (x-3)(2x+5)
• D. (x+3)(2x+5)

Answer: Option A

Explanation:

68 . 3x3+x-10

• A. $2x-5$
• B. $2x+5$
• C. $3x-5$
• D. $3x+5$

Answer: Option C

Explanation:

69 . 3x2-x-10

• A. (x+2)(3x-5)
• B. (x+2)(3x-5)
• C. (x-2)(3x-5)
• D. (x-2)(3x+5)

Answer: Option A

Explanation:

70 . x2-4x-1=0

• A. 4
• B. 3
• C. 2
• D. 1

Answer: Option A

Explanation:

71 . 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.

Answer: Option C

Explanation:

72 . 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.

Answer: Option D

Explanation:

73 . 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

Answer: Option C

Explanation:

74 . gx=3x-12x+9

• A. $\frac{7x-12}{24x+79}$
• B. $\frac{9x+4}{6x+7}$
• C. $\frac{x+10}{21x+80}$
• D. $\frac{7x+6}{24x+79}$

Answer: Option A

Explanation:

75 . 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

Answer: Option A

Explanation:

76 . limx→0ex-1tan2xx3=

• A. -1
• B. 1
• C. 4
• D. 3

Answer: Option B

Explanation:

77 . x2-5x-1=0

• A. $x^2+2x+3=0$
• B. $x^2-x-7=0$
• C. $x^2-5x+6=0$
• D. $6x^2-5x+1=0$

Answer: Option B

Explanation:

78 . limx→01+x-1-xx=?

• A. 1
• B. 2
• C. 3
• D. -1

Answer: Option A

Explanation:

79 . 4x+32x-3x-1

• A. 7
• B. 6
• C. 5
• D. 3

Answer: Option A

Explanation:

80 . y2=4x,x-1=0

• A. $\frac{3}{28}$
• B. $\frac{3}{14}$
• C. $\frac{28}{3}$
• D. $\frac{14}{3}$

Answer: Option B

Explanation:

81 . x19-6x11+k

• A. 5
• B. -5
• C. 6
• D. -6

Answer: Option A

Explanation:

82 . x2+y2-8x-12y+p=0

• A. 16
• B. -18
• C. -16
• D. 18

Answer: Option A

Explanation:

83 . gx=3x-12x+9

• A. $\frac{7x-12}{24x+79}$
• B. $\frac{9x+4}{6x+7}$
• C. $\frac{x+10}{21x+80}$
• D. $\frac{7x+6}{24x+79}$

Answer: Option B

Explanation:

84 . (2x-1) (x+3)=2x(x+1) হলে x=?

• A. 3
• B. 2
• C. 1
• D. 8

Answer: Option C

Explanation:

85 . 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

Answer: Option B

Explanation:

86 . limx→01+2x-1-3xx=

• A. 0
• B. 1
• C. -1
• D. কোনটিই নয়

Answer: Option C

Explanation:

87 . limx→12x2-2k+1x2+2x+kx-1=-6

• A. 1
• B. -1
• C. 3
• D. $-\frac{1}{2}$

Answer: Option C

Explanation:

88 . 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

Answer: Option A

Explanation:

89 . limx→0=ex-1x

• A. 0
• B. ∞
• C. 1
• D. -1

Answer: Option C

Explanation:

90 . x2-6x-1+k2x+1=0

• A. 3 অথবা 6
• B. 2 অথবা 5
• C. 2 অথবা 6
• D. 3 অথবা 5

Answer: Option B

Explanation:

91 . 16x2+9y2-32x-128=0

• A. 12π
• B. 10π
• C. 14π
• D. 7π

Answer: Option A

Explanation:

92 . ∫02x-1dx=?

• A. $0$
• B. $1$
• C. $2$
• D. $\frac{1}{2}$

Answer: Option B

Explanation:

93 . |x-1|>2 অসমতার সমাধান কোনটি?

• A. -1>x>3
• B. x>3 এবং x<-1
• C. -1
• D. x>3 অথবা x<-1

Answer: Option D

Explanation:

94 . 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.