Crack IBPS Exam 2017 – Quantitative Aptitude Scoring Part (Day-24)

    Crack IBPS Exam 2017 - Quantitative Aptitude Scoring Part (Day-1)


     

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    Direction (1-10): What value should come in place of question mark (?) in the following questions?
    1). 35 5/7% of 615 + 77 7/9% of 5886 = ?% of 6126 + 50% of 5638

    60
    66 2/3
    45
    47
    None of these

    1). Answer: b)
    35 5/7% of 6510 + 77 7/9% of 5886 = ?% of 6126 + 50% of 5638
    5/14 of 6510 + 7/9 of 5886 – 1/2 of 5638 = ?% of 6126
    ? × 6126 / 100 = 2325 + 4578 - 2819 = 4084
    ? = 4084 / 6126 × 100 = 66.66

    2.∛262144 + (15129)^(1/2) = √(6561)^(1/2) + ?

    188
    168
    178
    158
    None of these
    2). Answer: c)
    ∛262144 + (15129)^(1/2) = √(6561)^(1/2) + ?
    64 + 123 = 9 + ?
    ? = 178

    3. 36% of 6550 + 80% of 5625 = ? % of 4560 + 60% of 9530

    25
    30
    20
    35
    None of these
    3). Answer: a)
    0.36 × 6550 + 0.8 × 5625 - 0.6 × 9530 = ?% of 4560
    ? × 4560 / 100 = 2358 + 4500 - 5718 = 1140
    ? = 1140 / 4560 × 100 = 25


    4. (27)^2 + ∛5832 = ?% of 5976

    12 1/2
    15
    10
    14
    None of these
    4). Answer: a)
    (27)^2 + ∛5832 = ?% of 5976
    ? × 5976 / 100 = 729 + 18 = 747
    ? = 747 / 5976 × 100 = 12 1/2


    5). 7 3/4 ÷ 46 1/2 × 8 2/3 + 2 5/9 = (?)^2

    3
    4
    5
    2
    None of these
    5). Answer: d)
    7 3/4 ÷ 46 1/2 × 8 2/3 + 2 5/9 = (?)^2
    (?)^2= 31/4 × 2 /93 × 26/3 + 23/9 =4
    ? = 2


    6. 13.2% of 142 - 23.4% of 56 = 24% of ?

    22.5
    23.5
    23
    24.5
    None of these
    6). Answer: b)
    13.2 × 142 / 100 - 23.9 × 56 / 100 = 24 × ? / 100
    13.2 × 1.42 - 23.9 × 0.56 = 24 × ? /100
    24 × ? / 100 = 18.744 - 13.104
    ? = 5.64 × 100 / 24 = 564 / 24 = 23.5


    7. (47.2)^2 + (52.6)^2 - (23.1)^2 = ? + 2142.69

    2118.3
    2209.3
    2318.30
    2445.48
    None of these
    7). Answer: c)
    (47.2)^2 + (52.6)^2 - (23.1)2 = ? + 2142.69
    ? = 2227.84 + 2766.76 – 533.61 - 2142.69 = 2318.30


    8. √11449 × √16641 × ∛35937 ÷ 9 + 2033 = ?

    52744
    53644
    56244
    52644
    None of these
    8). Answer: d)
    ? = √11449 ×√16641 × ∛35937 ÷ 9 + 2033
    or,? = 107 × 129 × 33 / 9 + 2033
    = 50611 + 2033 = 52644

    9. 4 19/32 × 3 1/21 × 2 5/8 = ? + 15 1/2

    12.25
    20.25
    28.25
    22.25
    None of these
    9). Answer: e)
    4 19/32 × 3 1/21 × 2 5/8 = ? + 15 1/2
    ? = 147/32 × 64/21 × 21/8 – 31/2
    = 147/4 – 31/2 = 85/4 = 21 1/4 = 21.25

    10. 7/13 of 33 1/3% of 18.75% of 6240 = ?% of 840

    25
    24
    23
    26
    None of these
    10). Answer: a)
    ? × 840 /100 = 7/13 × 100/300 × 18.75/100 × 6240
    ? × 840/100 = 7/13 × 1/3 × 3/16 × 6240 = 210
    ? = 210 × 100 / 840 = 25

    Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
    11. 38% of 3976 + (32)^2 - 13% of 8271 + 7/6 × 3400 = ?

    5427
    5325
    5537
    5612
    5554
    11). Answer: a)
    ? = 3976 × 38 / 100 + 1024 - 8271 × 13/100 + 7/6 × 3400
    = 1510.88 + 1024 - 1075.23 + 3966.66
    = 5426.31 ≈ 5427

    12. 987.67 × 123.35 ÷ 9 = ?

    13411
    13621
    13489
    13551
    13721
    12). Answer: c)
    ? ≈ 987 × 123 / 9 = 13489

    13. √80 × 35 / 6 × (21)^2 + 343 = ?

    21125
    23288
    20781
    23159
    21230
    13). Answer: b)
    ? = √80 × 35/6 × (21)^2 + 343
    ? = √(16 × 5) × 35 / 6 × 441 + 343
    = 4√5 × 35 / 6 × 441 + 343
    = 2√5 × 35 × 147 + 343
    ≈ 2 × 2.23 × 35 × 147 + 343
    ≈ 23288

    14. 4 × (√3 + √4)^2 + 6 (√5 + √6)^2 - 3(√2 + √3)^2 = ?

    167
    123
    157
    153
    149
    14). Answer: c)
    ? = 4(3 + 4 + 2√12) + 6(5 + 6 + 2√30) – 3(2 + 3 + 2√6)
    = 4(7 + 2√12) + 6(11 + 2√30) - 3(5 + 2√6)
    = 28 + 8√12 + 66 +12√30 -15 - 6√6
    = (28 + 66 – 15) + ((8√12 +12√30) - 6√6)
    = 79 + (8 √(4 × 3) + 12√30 - 6√6)
    = 79 +16 √3 + 12 √30 - 6√6
    = 79 + 16 × 1.7 + 12 × 5.4 - 6 × 2.4
    = 79 + 27.2 + 64.8 - 14.4 = 156.6 ≈ 157

    15. 331/30 + 661/60 + 704/11 + 35.013 - 36.026 = ?

    69
    67
    83
    89
    85
    15). Answer: e)
    ? = 331/30 + 661/60 + 704/11 + 35.013 - 36.026
    ≈ 11 + 11 + 64 - 1.013
    ≈ 86 - 1 = 85

    16.√2645 + √1805 + √2205 - √1445 = ?

    46 √5
    15 √3
    48
    27 √5
    23 √3

    16). Answer: a)
    √2645 + √1805 + √2205 - √1445 = ?
    or ? = √(5 × 529) + √(5 × 361) + √(5 × 441) - √(5 × 289)
    = 23 √5 + 19 √5 + 21 √5 -17 √5
    or, ? = √5 (23 +19 + 21 - 17) = 46 √5

    17. √8835 / 2 + (21952)1/3 / 7 = √6240 - ?

    29
    30
    28
    25
    26
    17). Answer: c)
    √8836 / 2 + (21952)^(1/3) / 7 ≈ √6241 - ?
    (Let 8836 ≈ 8835 and 6241 ≈ 6240)
    94/2 + 28/7 = 79 - ?
    47 + 4 = 79 - ?
    ? = 79 - (47 + 4) = 28

    18.[√5041 - √4489]^(1/2) × 0.03 + 37 = ?

    36
    37
    47
    35
    34
    18). Answer: b)
    [√5041 - √4489]^(1/2)_ × 0.03 + 37 = ?
    or, ? = [71 - 67]^(1/2) × 0.03 + 37
    = 2 × 0.03 + 37 = 37.06 ≈ 37


    19. 23 11/25 + 47 22/45 – 17 2/5 – 0.03 + 25.729 = ?

    85
    84
    75
    76
    80
    19). Answer: e)
    23 11/25 + 47 22/45 - 17 2/5 - 0.03 + 25.729 = ?
    ? = (23 + 47 - 17) + (11/25 + 22/45 – 2/5) - 0.03 + 25.729
    = 53 + ((99 + 110 – 90)/225) - 0.03 + 25.729
    = 53 + 119/225 + 25.729
    = 53 + 0.528 + 25.729 = 79.257 ≈ 80


    20. (216)^(1/3) + (625)^(1/4) + (1024)^(1/2) – 49.57 + 23.89 = ?

    20
    23
    17
    19
    28
    20). Answer: c)
    (216)^(1/3) + (625)^(1/4) + (1024)^(1/2) - 49.57 + 23.89 = ?
    or, ? = 6 + 5 + 32 - 49.57 + 23.89
    = 17.32 ≈ 17

    Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number.
    21. 796, 199, 50, 13, 4, ?

    4
    1
    5
    2
    3
    21). Answer: d)
    The series is ÷ 4, + 1 ÷4, + 2 ÷ 4, + 3 ÷4,…
    :. ? = (4 + 4) ÷ 4 = 2


    22. 445, 534, 631, 736, 849, ?

    961
    965
    970
    958
    968
    22). Answer: c)
    The series is (21)^2 + 4, (23)2 + 5, (25)^2 + 6, (27)^2 + 7,….
    :. ? = (31)^2 + 9 = 961 + 9 =970


    23. 7, 9.21, 16.05, 29.94, 53.3, ?

    88.55
    90.58
    92.48
    91.68
    94.78
    23). Answer: a)
    The series is +1 + (1.1)^2, + 2 + (2.2)^2, + 3 + (3.3)^2,…
    :. ? = 53.3 + 5 + (5.5)^2 = 88.55

    24. 6, 10, 28, 68, 138, ?

    246
    236
    238
    232
    242
    24). Answer: a)
    The series is + 3^2 – 5, + 5^2 – 7, + 7^2 – 9, + 9^2 – 11, ….
    :. ? = 138 + 121 – 13 =246

    25. 16, 9, 6, 5, ?, 5.5

    5
    4
    3
    1
    2
    25). Answer: a)
    The series is + 2 ÷ 2, + 3 ÷ 2, + 4 ÷ 2, + 5 ÷ 2,…..
    :. ? = (5 + 5) * (1 / 2) = 5

    Direction (26-30): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and given answer:
    a). x> y
    b). x ≥ y
    c). x< y
    d). x ≤ y
    e). x = y or no relation can be established between ‘x’ and ‘y’.

    26. I. 4x + 7y = 42
    II. 3x - 11y = – 1

    a)
    b)
    c)
    d)
    e)
    26). Answer: a)
    eqn (I) ×3 - eqn (II) × 4
    65y = 130
    y = 2
    and x = 7
    x> y

    27. I. 9x2 – 29x + 22 = 0
    II.y2 – 7y + 12 = 0

    a)
    b)
    c)
    d)
    e)
    27). Answer: c)
    I. 9x^2 - 18x - 1 lx + 22 = 0
    or 9x(x - 2)- 11(x - 2) = 0
    or (x - 2)(9x - 11) = 0
    x = 2, 11/9
    II. y^2 - 3y - 4y + 12 - 0
    or y(y - 3) - 4(y - 3) = 0
    or (y - 3) (y - 4) = 0
    y = 3, 4
    x< y

    28. I. 3x^2 – 4x – 32 = 0
    II. 2y^2 – 17y + 36 = 0

    a)
    b)
    c)
    d)
    e)
    28). Answer: d)
    I. 3x^2 - 4x - 32 = 0
    or 3x^2 - 12x + 8x - 32 = 0
    or 3x(x - 4) + 8(x - 4) = 0
    or (3x + 8) (x - 4) = 0
    x = 4, -8/3
    II. 2y^2 - 8y - 9y + 36 = 0
    or 2y(y - 4) - 9(y - 4) = 0
    or (2y - 9) (y - 4) = 0
    or (2y - 9) (y - 4) = 0
    y = 4, 9/2
    x ≤ y

    29. I. 3x^2 – 19x – 14 = 0
    II. 2y^2 + 5y + 3 = 0

    a)
    b)
    c)
    d)
    e)
    29). Answer: a)
    I. 3x^2 - 21x + 2x - 14 = 0
    or 3x(x - 7) + 2(x - 7) = 0
    or (3x + 2) (x - 7) = 0
    x = 7, -2/3
    II. 2y^2 + 5y + 3 = 0
    or 2y^2 + 2y + 3y + 3 = 0
    or 2y(y + 1) + 3(y + 1) = 0
    or (2y + 3) (y + 1) = 0
    y = -3/2, -1
    x> y

    30. I. x^2 + 14x + 49 = 0
    II. y^2 + 9y = 0

    a)
    b)
    c)
    d)
    e)
    30). Answer: e)
    I. x^2 + 14x + 49 = 0
    or (x+7) (x+7) = 0
    x + 7 = 0
    or, x = -7, -7
    II. y^2 + 9y = 0
    or y(y + 9) = 0
    y = 0, -9
    ie,. no relation between x and y.

     


     
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