Review Exercise 30 Objective)

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    REVIEW EXERCISE 30

    Objective Questions1. Which of the following is correct?

    A a4 = a a a a

    B a4 = 4 a a a a

    C a4 = a + a + a + a

    D (a )4 = a a a a

    2. Which of the following is correct?

    N B I

    5 3 5

    1 8 1

    2 1 2

    3 3 1

    3. A rectangular pool has a length of 216 m, a width of 36 m and a depth of 6 m. The

    volume, in m3, of the pool is

    A 312

    B 66

    C 75

    D 212

    4.

    3

    5

    32

    =

    A 215

    9

    B 65

    3

    C 8125

    27

    D 17125

    72

    5. The value of (2)7 (3)5 is

    A 371

    B 115

    C 115

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    D 371

    6. 92 + 94 =

    A 5 224

    B 6 561

    C 6 642

    D 531 441

    7. It is given that 2t= 2 048. The value oftis

    A 9

    B 10

    C 11

    D 13

    8. If6

    1 12m = 288, then the value ofm is

    A 3

    B 4

    C 5

    D 6

    9. 33 33 =

    A 36

    B 39

    C 69

    D9

    6

    10. 66 107 1015 611 1014 =

    A 617 1036

    B 625 1028

    C 629 1025

    D 636 1017

    11.2

    1a2

    5

    4b4 125c3 =

    A 2a2b4c3

    B 25a2b4c2

    C 50a2

    b4

    c3

    D 36a2b3c2

    12. 23 34 =

    A 648

    B 724

    C 842

    D 2 187

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    13. If 74

    58

    7 53

    = 7m

    5n

    , thenA m = 3, n = 11

    B m = 4, n = 11

    C m = 5, n = 11

    D m = 12, n = 4

    14. Which of the following is correct?

    A f7 2h10 8

    7h4 12f3 = 21f10h14

    B 2y5 w6 3

    1y3 9w6 =

    3

    2y8w12

    C 6p4

    2

    1

    m4

    5m p9

    = 15p13

    m6

    D4

    3g3 2t8 g2 8t6 =g6t14

    15. Which of the following is equal toxa b?

    A xb xa

    B xa xb

    C xa xb

    D xa xb

    16. 145 143 =

    A 176

    B 196

    C 216

    D 224

    17. Which of the following is not equal to a3?

    A a6 a3

    B a15 a12

    C a18 a15

    D a12 a4

    18. 78s10 6s5 =

    A 13s2

    B 17s2

    C 13s5

    D 17s5

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    19. 18

    24

    42

    28

    k

    k

    =

    A 3

    2k6

    B 4

    3k6

    C4

    3k8

    D9

    8k8

    20. Which of the following is not correct?

    A 10w14 25w6 =5

    2w6

    B 32p20 18p4 =9

    16p16

    C 81t12 18t2 =2

    9t10

    D 60x21 5x7= 12x3

    21. (24)4 =

    A 28

    B 216

    C2

    44

    D 2256

    22. (35 105 26)3 =

    A 36 217 58

    B 39 233 515

    C 39 251 515

    D 327 233 515

    23. (m4n)3 mn2 =

    A m5n5

    B m12n3

    C m13n2

    D m13n5

    24. (t2)4 t3 =

    A t2

    B t3

    C t5

    D t11

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    25. m8s3 m3s =

    A m5s2

    B m5

    s4

    C m7s2

    D m11s4

    26. (6

    1y)(3y5)2 =

    A y11

    B2

    3y11

    C2

    1y8

    D6

    1

    y15

    27. (5p6s3)2 (p2s)5 (2p3s2)2 =

    A4

    25p8s4

    B 344

    25

    sp

    C5

    8100

    s

    p

    D 100p8s5

    28. Which of the following values is not equal to 2?

    A 8 31

    B 22 21

    C 20 2

    D2

    2 1

    29. 23 32 =

    A6

    1

    B5

    1

    C9

    8

    D 18

    1

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    30. 27 32

    243 53

    A27

    1

    B9

    1

    C3

    1

    D 3

    31. (2p0)2 (q4) =

    A4

    1q4

    B 2

    4

    2pq

    C 8

    2

    q

    p

    D 824

    1

    qp

    32. 25 8 31

    27 =

    A4

    1

    B2

    1

    C 2

    D 3

    33. (x3y2)4 y3 =

    A x7y3

    B x7y11

    C x12y5

    D x12y11

    34. 73 7 21

    49 23

    =

    A7

    1

    B 1

    C 7

    D 7

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    35.

    4

    64

    3

    8133 43

    =

    A729

    1

    B243

    1

    C 243

    D 729

    36. Calculate the value of

    1

    3

    1

    + 64 65

    .

    A 19

    B 35C 45

    D 67

    37. (2y0n6)3 y5n4 =

    A5

    146

    y

    n

    B 2

    222

    y

    n

    C 5

    228

    y

    n

    D 5

    188

    y

    n

    38. Given that 3r 33 = 38, then r =

    A 24

    B 11

    C 5

    D 11

    39. (f3g7)3 fg10 =

    A f10g11

    B f9 g31C f10g11

    D f7 g11

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    40. Given that

    4

    7

    2

    w

    w= wn, then n =

    A 20

    B 1C 5

    D 20

    41. (kh4)3 (k3h8) =

    A h4

    B h20

    C46

    1

    hk

    D k6h4

    42. Calculate the value of

    100

    9

    2

    3

    9

    1

    2

    1

    .

    A1000

    9

    B0001

    81

    C100

    9

    D100

    27

    43. (8m3y4)2 (4m2y3)3 =

    A17

    2

    y

    B17

    12

    y

    m

    C12

    17

    m

    y

    D3

    104

    y

    m

    44. If 55 5k= 5k 59, then k=

    A 7B 2

    C 2

    D 7

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    45. 8p5r0 3p2r4 =

    Ap

    8

    B 10

    424

    p

    r

    C p34r4

    D 24p3r4

    46. The value of 2 23

    (2 81

    3 21

    20)4 =

    A36

    1

    B9

    2

    C 9

    4

    D 1

    47. Given that 32 2m = 81, then m =

    A 8

    B 2

    C8

    1

    D2

    1

    48.(5g

    4

    w

    2

    )

    2

    (gw

    3

    )

    5

    =A 5gw12

    B 25g3w12

    C 10g3w10

    D 25g3w11

    49. 30 (2y2)4 y5 =

    A 8y

    B 2y3

    C 16y3

    D 16y13

    50. 22

    2146

    )6(2419

    rttrtr =

    A 6r3t10

    B 24r3t2

    C 27r3t10

    D 36r4t2

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    51. Simplify (2x 31

    y5)3 18

    74

    6x

    yx

    .

    A13

    22

    x

    y

    B15

    22

    3

    4

    x

    y

    C13

    8

    3

    4

    x

    y

    D15

    15

    3x

    y

    52. Find the value of (32 710) 51

    (22 74).

    A 98

    1

    B49

    8

    C8

    49

    D2

    49

    53. Simplify

    2

    1

    41

    )(

    )8 1(

    1 08

    1 29

    yp

    yp .

    A 2

    53

    y

    p

    B 2

    59

    y

    p

    C 3p5y2

    D 9p5y2

    54.5

    4

    m=

    A 45 m

    B 54 m

    C ( 5m )4

    D ( 4m )5

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    55. Simplify (m3)3 m4.

    A m2

    B m5

    C m10

    D m13

    56. It is given that 53x =x25

    25, find the value ofx.

    A5

    1

    B3

    1

    C5

    2

    D 1

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