1 .  a - b = 4 এবং ab = 0 হলে, a3 - b3 = কত?

• A. 54
• B. 64
• C. 48
• D. 44

Answer: Option B

Explanation:

2 . What is the product of (6a2b3c4) and (3a3b4c)?

• A. 9a5b7c4
• B. 9a5b7c5
• C. 18a5b7c5
• D. 18a5b7c4

Answer: Option C

Explanation:

3 . loga3b3/a3 + logb3c3/d3 + logc3d3/c3 - 3logb2c = কত?

• A. 8
• B. 0
• C. 2
• D. 1

Answer: Option B

Explanation:

4 . loga + loga2 + loga3+ ..... ধারাটির প্রথম 7টি পদের সমষ্টি কত?

• A. 28 loga
• B. 56 loga
• C. 7 loga
• D. 8 loga

Answer: Option A

Explanation:

5 . a3 - 2a2 - 3a + 4 এর উৎপাদক কোনটি?

• A. (a + 1) (a2 - a - 4)
• B. (a - 1) (a2 + a - 4)
• C. (a + 1) (a2 + a + 4)
• D. (a - 1) (a2 - a - 4)

Answer: Option D

Explanation:

6 . a3 - 21a - 20 এর একটি উৎপাদক হলো---

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

Answer: Option B

Explanation:

7 . a3 - 7a - 6 এর উৎপাদক কত?

• A. (a + 1)(a - 2)(a - 3)
• B. (a - 1)(a + 2)(a - 3)
• C. (a + 1)(a + 2)(a - 3)
• D. (a - 1)(a - 2)(a - 3)

Answer: Option C

Explanation:

8 . কোনটি a3 + 1 -এর উৎপাদক?

• A. (a + 1)(a + 1)
• B. (a + 1)(a2 + a + 1)
• C. (a - 1)(a2 - a + 1)
• D. (a + 1)(a2 - a + 1)

Answer: Option D

Explanation:

9 . a3 + b3 এর উৎপাদক কোনটি?

• A. (a + b)(a + b)(a + b)
• B. (a + b)(a2 + b2)
• C. (a - b)(a + b)(a2 + b2)
• D. (a + b)(a2 - ab + b2)

Answer: Option D

Explanation:

10 . দুটি সংখ্যার ল.সা.গু a2b(a + b) এবং গ.সা.গু a(a + b)।একটি সংখ্যা a3 + a2b হলে, অপর সংখ্যাটি কত?

• A. a2b + a2b2
• B. a2b + ab2
• C. ab2 + a2b2
• D. a3 - b3

Answer: Option B

Explanation:

11 . a2b(a3 - b3), a2b2(a4 + a2b2 + b4) এবং (a3 + b3) এর ল.সা.গু নির্নয় করুনঃ

• A. a3b(a6 - b6)
• B. a3b3(a6 - b6)
• C. a2b2(a6 - b6)
• D. ab(a5 - b5)

Answer: Option C

Explanation:

12 . a2b3c2d কে a3b2cd3 দ্বারা ভাগ করলে ভাগফল কত?

• A. ab2ca
• B. ab2cd
• C. b2cad
• D. bd2ac

Answer: Option D

Explanation:

13 . যদি a + b = m, a2 + b2 = n এবং a3 + b3 = p3 হয়, তবে m3 + 2p3 -এর মান কত?

• A. m2 + n2 + 2
• B. 3mn
• C. 6mn
• D. 6m

Answer: Option B

Explanation:

14 . (a + 1/a)2 = 3 হলে, a3 + 1/a3 = কত?

• A. 8
• B. 27
• C. 0
• D. 18

Answer: Option C

Explanation:

15 . a + 1/a = 4 হলে, a3 + 1/a3 = কত?

• A. 45
• B. 52
• C. 55
• D. 64

Answer: Option B

Explanation:

16 . a + b = c হলে, a3 + b3 + 3abc = কত?

• A. 0
• B. c3
• C. b3
• D. a3

Answer: Option B

Explanation:

17 . a + b = 3 এবং ab = 3 হলে, a3 + b3 এর মান কত?

• A. 0
• B. 54
• C. 9
• D. 45

Answer: Option A

Explanation:

18 . a - 1/a = 1 হলে, a3 - 1/a3 = কত?

• A. 6
• B. 4
• C. 9
• D. 12

Answer: Option B

Explanation:

19 . a - b = 4 এবং ab = 0 হলে, a3 - b3 = কত?

• A. 54
• B. 64
• C. 48
• D. 44

Answer: Option B

Explanation:

20 . a - 1/a = 4 হলে a3 - 1/a3 = ?

• A. 75
• B. 76
• C. 71
• D. 72

Answer: Option B

Explanation:

21 . a + b + c = 0 হলে a3 + b3 + c3 এর মান কত?

• A. abc
• B. 3abc
• C. 6abc
• D. 9abc

Answer: Option B

Explanation:

22 . যদি a3 - b3 = 513 এবং a-b = 3 হয় তবে ab এর মান কত?

• A. 54
• B. 35
• C. 45
• D. 55

Answer: Option A

Explanation:

23 . a +b = 5 এবং ab = 6 হলে a3 + b3 এর মান কত?

• A. 30
• B. 35
• C. 40
• D. 45

Answer: Option B

Explanation:

24 . a + 1/a = 3 হলে a3 + 1/a3 = ?

• A. 16
• B. 18
• C. 20
• D. 24

Answer: Option B

Explanation:

25 . a - 1a = 2 হলে a3 - 1a3 এর মান কত?

• A. 12
• B. 14
• C. 16
• D. 18

Answer: Option B

Explanation:

26 . a3 + b3 = কত?

• A. a3 + 3a2b + 3ab2 + b3
• B. (a + b)3 + 3ab(a + b)
• C. (a + b)3 - 3ab(a + b)
• D. (a + b)(a2 + ab + b2)

Answer: Option C

Explanation:

27 . a3 + b3a + b কে a4 + b4 + a2b2a3 + b3 দিয়ে ভাগ করলে ভাগফল কত হবে?

• A. a + b
• B. a - b
• C. a2 + b2
• D. a2 - b2

Answer: Option B

Explanation:

28 . a + b + c = 0 হলে a3 + b3 + 3abc এর মান কত?

• A. a3
• B. b3
• C. c3
• D. c2

Answer: Option C

Explanation:

29 . a3 + b3, a6 - b6 এর ল.সা.গু. কত?

• A. 1
• B. a3 + b3
• C. a6 - b6
• D. a3 - b3

Answer: Option C

Explanation:

30 . a4 - ab3, a3b + b4 এর গ.সা.গু. কত?

• A. a - b
• B. a + 1
• C. 1
• D. a - 1

Answer: Option C

Explanation:

31 . a3 + 1, a3 - 1 এর গ.সা.গু. কত?

• A. a6 - 1
• B. (a - 1) (a + 1)
• C. 1
• D. a3 - 1

Answer: Option C

Explanation:

32 . a3 - ab2, ab - bc এর গ.সা.গু. কত?

• A. a - c
• B. a - b
• C. 1
• D. b + c

Answer: Option C

Explanation:

33 . যদি a + b = 4 এবং a2 + b2 = 8 হয়, তবে a3 + b3 এর মান কোনটি?

• A. 12
• B. 16
• C. 16
• D. 24

Answer: Option B

Explanation:

34 . A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4- digit number 13b7, which is divisible by 11. Then, (a+b)=?

• A. 10
• B. 11
• C. 12
• D. 15
• D. None of these

Answer: Option A

Explanation:

35 . a3 - 9 + (a + 1) রাশিটির একটি উৎপাদক হবে— 

• A. (a+1)
• B. (a-2)
• C. (a-1)
• D. (a-3)

Answer: Option C

Explanation:

36 . a- b = 4 এবং ab = 20 হলে a3 -b3 এর মান কত?

• A. 64
• B. 244
• C. 304
• D. 290

Answer: Option C

Explanation:

37 . a3+33

• A. $a^2+\sqrt{3}$
• B. $a+\sqrt{3}$
• C. $a^3-\sqrt{3}$
• D. $a-\sqrt{3}$

Answer: Option B

Explanation:

38 . a333=?

• A. a
• B. $1$
• C. $a^{\frac{1}{3}}$
• D. $a^3$

Answer: Option C

Explanation:

39 . ab+ba=1

• A. $3$
• B. $1$
• C. $0$
• D. $-1$

Answer: Option C

Explanation:

40 . a2-3a,a3-9aএবংa3-4a2+3a

• A. $a\left(a-3\right)$
• B. $a-3$
• C. $a$
• D. $a\left(a+3\right)$

Answer: Option A

Explanation:

41 . a- 1a=3

• A. 9
• B. 18
• C. 27
• D. 36

Answer: Option D

Explanation:

42 . a+b,a2-b2

• A. $a^2-b^2$
• B. $a-b$
• C. ${\left(a+b\right)}^2$
• D. $a+b$

Answer: Option D

Explanation:

43 . a+b,a2-b2

• A. $a^2-b^2$
• B. $a-b$
• C. ${\left(a+b\right)}^2$
• D. $\left(a+b\right)$

Answer: Option D

Explanation:

44 . a+b+c=0

• A. abc
• B. 3abc
• C. 6abc
• D. 9abc

Answer: Option B

Explanation:

45 . a3-21a-20

• A. a+1
• B. a-1
• C. a+2
• D. a-2

Answer: Option A

Explanation:

46 . a=313+3-12

• A. $5$
• B. $8$
• C. $10$
• D. $11$

Answer: Option D

Explanation:

47 . a=6+5a6-1a3

• A. $45\sqrt{5}$
• B. $47\sqrt{6}$
• C. $46\sqrt{5}$
• D. $43\sqrt{5}$

Answer: Option C

Explanation:

48 . a333=

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

Answer: Option A

Explanation:

49 . a3-b3=513

• A. 35
• B. 45
• C. 54
• D. 55

Answer: Option C

Explanation:

50 . a+1a2=3

• A. $3\sqrt{3}$
• B. $18$
• C. $9$
• D. $0$

Answer: Option D

Explanation:

51 . a+1a=3

• A. $16$
• B. $20$
• C. $48$
• D. $18$

Answer: Option D

Explanation:

52 . a-1a=3

• A. 18
• B. 30
• C. 36
• D. 54

Answer: Option C

Explanation:

53 . a + b = c

• A. $a^3$
• B. $b^3$
• C. $c^3$
• D. $0$

Answer: Option C

Explanation:

54 . a+1a=3

• A. 18
• B. 21
• C. 27
• D. 34

Answer: Option A

Explanation:

55 . a-1a=3

• A. 18
• B. 24
• C. 36
• D. 42

Answer: Option C

Explanation:

56 . a+1a=4

• A. 76
• B. 70
• C. 52
• D. 47

Answer: Option C

Explanation:

57 . a3+b3

• A. $0$
• B. $54$
• C. $9$
• D. $45$

Answer: Option A

Explanation:

58 . a+1a=3

• A. -30
• B. 36
• C. -18
• D. 18

Answer: Option D

Explanation:

59 . a+1a=3

• A. $3\sqrt{3}$
• B. $2\sqrt{3}$
• C. $0$
• D. $9$

Answer: Option C

Explanation:

60 . a+b=c

• A. $a^3$
• B. $a^2$
• C. $b^2$
• D. $c^3$

Answer: Option D

Explanation:

61 . a+b=5, ab=3

• A. 65
• B. 70
• C. 75
• D. 80

Answer: Option D

Explanation:

62 . a-b=4,ab=3

• A. 80
• B. 85
• C. 90
• D. 100

Answer: Option D

Explanation:

63 . a+1a=4

• A. 47
• B. 52
• C. 70
• D. 76

Answer: Option D

Explanation:

64 . a3-7a-6

• A. $\left(a+1\right)\left(a-2\right)\left(a-3\right)$
• B. $\left(a+1\right)\left(a+2\right)\left(a-3\right)$
• C. $\left(a-1\right)\left(a+2\right)\left(a-3\right)$
• D. $\left(a-1\right)\left(a-2\right)\left(a-3\right)$

Answer: Option B

Explanation:

65 . a3+b3=

• A. $a^3+b^3+3a^{2}b+3a{b}^2$
• B. ${\left(a+b\right)}^3-3ab\left(a+b\right)$
• C. ${\left(a+b\right)}^3+3ab\left(a+b\right)$
• D. ${\left(a-b\right)}^3-3ab\left(a-b\right)$

Answer: Option B

Explanation:

66 . a3×b3=

• A. $a{m}^{m+n}$
• B. ${\left(ab\right)}^3$
• C. $a^m$
• D. $a^{m-n}$

Answer: Option B

Explanation:

67 . a-b=3

• A. 23
• B. 27
• C. 30
• D. 33

Answer: Option B

Explanation:

68 . a-1a=2

• A. 14
• B. 12
• C. 16
• D. 18

Answer: Option A

Explanation:

69 . a=3

• A. 3
• B. 6
• C. 9
• D. 27

Answer: Option D

Explanation:

70 . a3-4

• A. $a-4$
• B. $a^2-a-2$
• C. Try yourself
• D. $a^2-a+2$

Answer: Option C

Explanation:

71 . a3-b3=36,a-b=3

• A. -1
• B. 3
• C. 0
• D. 1

Answer: Option D

Explanation:

72 . 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)

Answer: Option D

Explanation:

73 . a + b = 6, ab = 4 হলে ,  a3 + b3 = কত?

• A. 216
• B. 144
• C. 136
• D. 120

Answer: Option B

Explanation:

74 . a3+b3

• A. 9
• B. 27
• C. 18
• D. 12

Answer: Option A

Explanation:

75 . a3=5

• A. $\sqrt[3]{5}$
• B. $\sqrt[5]{5}$
• C. $5$
• D. $\sqrt[3]{5}$

Answer: Option B

Explanation:

76 . 2a4-5a3+6a2-5a+2

• A. $2a^2-a+2$
• B. $2a^2-a-2$
• C. $a-2$
• D. $a^2-1$

Answer: Option A

Explanation:

77 . a3b2c3,a5b3c4,a4b3c2

• A. $a^3{b}^2{c}^2$
• B. $a^3{b}^3{c}^3$
• C. $a^2{b}^3{c}^3$
• D. $a^3{b}^2{c}^3$

Answer: Option A

Explanation:

78 . 6a2bc

• A. $a^{2}bc$
• B. $2a^{2}bc$
• C. $2a^2{b}^2{c}^2$
• D. কোনোটিই নয়

Answer: Option D

Explanation:

79 . a2-b2

• A. $a^2-b^2$
• B. $a-b$
• C. ${\left(a+b\right)}^2$
• D. $a+b$

Answer: Option D

Explanation:

80 . 9a3b2c2,9a3b2c212a2bc,15ab3c3

• A. 9abc
• B. $9a^3{b}^3{c}^3$
• C. $3a^3{b}^3{c}^3$
• D. 3abc

Answer: Option D

Explanation:

81 . a2-3a,a3-9a

• A. a(a-3)
• B. a-3
• C. a
• D. a(a+3)

Answer: Option B

Explanation:

82 . a3-b3,a3+b3

• A. (a-b)
• B. 1
• C. a+b
• D. $a^2+ab+b^2$

Answer: Option B

Explanation:

83 . a3-b3a+b

• A. $a-b$
• B. $a+b$
• C. $a^2-b^2$
• D. $a^2+b^2$

Answer: Option A

Explanation:

84 . a3-9+a+13

• A. $2a^2+5a+8$
• B. $2a^2-5a+8$
• C. $2a^2-6a+8$
• D. $2a^2+5a-8$

Answer: Option A

Explanation:

85 . a-1a=3

• A. ৯
• B. ১৮
• C. ২৭
• D. ৩৬

Answer: Option D

Explanation:

86 . a3-3a2-1

• A. 124
• B. 126
• C. 64
• D. 216

Answer: Option C

Explanation:

87 . a3+b3=16

• A. 1
• B. 2
• C. 3
• D. 4

Answer: Option D

Explanation:

88 . A2,B2

• A. -1
• B. 1
• C. 0
• D. 2

Answer: Option C

Explanation:

89 . 200020002

• A. $I^3$
• B. $2I^3$
• C. A
• D. 2A

Answer: Option B

Explanation:

90 . a=3+2

• A. $8\sqrt{2}$
• B. $16\sqrt{1}$
• C. $18\sqrt{3}$
• D. $24\sqrt{3}$

Answer: Option D

Explanation:

91 . 9a3b3c3,12a2bc,12ab3c3

• A. $abc$
• B. $a^2{b}^2{c}^2$
• C. $a^3{b}^3{c}^3$
• D. $3abc$

Answer: Option D

Explanation:

92 . a+1a=3

• A. 9
• B. 18
• C. 21
• D. 27

Answer: Option B

Explanation:

93 . a2ba+b

• A. $a^{2}b+a^2+b^2$
• B. $a^{2}b+a{b}^2$
• C. $a{b}^2+a^2{b}^2$
• D. $a^2+b^2$