Crack IBPS Exam 2017 – Quantitative Aptitude Scoring Part (Day-23)

    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).√(46656)^(1/3) + √462.25 = √(?)

    702.25
    812.25
    756.25
    746.25
    None of these

    1). Answer: c)
    √? =√(46656)^(1/3)+√462.25
    =√(36)^(3×(1/3))+ √(21.5)^2
    or, √? =√36 + 21.5 = 6 + 21.5 = 27.5
    ? = 27.5 × 27.5 = 756.25

    2. 1/6 of 42 6/7% of 71 3/7% of 4116 = ?

    245
    210
    205
    215
    None of these
    2). Answer: b)
    ? = 1/6 × 300/700 × 500/700 × 4116
    ? = 1/6 × 3/7 × 5/7 × 4116
    = 42 × 5 = 210

    3. 88% of 1500 + 75% of 340 = ?% of 630

    205
    250
    235
    225
    215
    3). Answer: b)
    ?× 630 / 100 = 88 ×1500/100 + 75× 340 / 100
    = 1320 + 255 = 1575
    or, ? × 630 = 1575 × 100
    ? = 157500 / 630 = 250


    4. {6^(3.6)÷ (36)^(-4.2)}^(1/4) = √?

    46566
    46626
    46256
    46656
    46216
    4). Answer: d)
    {(6)^(3.6)÷ (36)^(-4.2)}^(1/4) = √?
    or, {66(3.6) ÷ (6)^(2 × (-4.2))}^(1/ 4) =√?
    or, {(6)^(3.6 + 8.4)}^(1/4 )=√?
    or, 6^(12/4)=√?
    or, 6^3=√?
    ? = 216 × 216 = 46656


    5). √32041 ×√3364 - (56)^2 = 387 + (?)^3

    27
    17
    19
    13
    14
    5). Answer: c)
    (?^3=√32041×√3364 - (56^2- 387
    = 179 × 58 - 3136 - 387
    = 10382 - 3523 = 6859
    ? =∛(19×19×19) = 19


    6. 3749.3409 - 2959.9987 - 1350.009 + 2309.9413 + 13.0405 = ? + 113.45

    1738.865
    1638.865
    1648.865
    1638.785
    1783.7769
    6). Answer: c)
    ? = (3749.3409 + 2309.9413 + 13.0405) -(2959.9987 + 1350.009 + 113.45)
    = 6072.3227 - 4423.4577 = 1648.865


    7. 137.5% of 3375 - 4352% of 73.5 = ? – 3/11 of 14641

    3744.905
    5443.905
    5472.905
    5437.905
    5434.905
    7). Answer: e)
    ? = 137.5 × 33.75 - 43.52 × 73.5 +3/11 × 14641
    = 4640.625 - 3198.72 + 3 × 1331
    = 1441.905 + 3993 = 5434.905


    8. 67620 ÷ 345 × 14 + 3584 ÷ 14 = ? - 4158 ÷ 297

    1994
    3173
    2174
    3014
    2054
    8). Answer: d)
    196 × 14 + 256 = ? - 14
    or, ? = 2744 + 256 + 14 = 3014

    9. ? - 115.94 ÷ 3.41 = 0.006 × 0.36 ÷ 0.012 + 1.0034

    35.0214
    35.0184
    35.1834
    34.1834
    36.1834
    9). Answer: c)
    0.006 × 30 + 1.0034 = ? - 34
    or, ? = 0.18 + 1.0034 + 34 = 35.1834

    10. 5.8 × 2.5 + 0.6 × 6.75 + 139.25 = ?

    157.30
    157.80
    158.40
    160.30
    None of these
    10). Answer: b)
    14.5 + 4.05 + 139.25 = 157.80

    Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
    11. √795664 × 3√5832 – √675.9932 = ?

    16230
    16334
    16030
    14030
    17030
    11). Answer: c)
    ? = √795664 ×∛5832 -√676.9932
    ≈ 892 × 18 - 26
    = 16056 - 26 = 16030

    12. 1325 × √16.0123 + 25% of 161.043 – 3/4 of 84.31 = ?

    5201
    5400
    5537
    5280
    5013
    12). Answer: d)
    ? = 1325 ×√16.0123 + 25%of 161.043 – 3/4 of 84.31
    ≈ 1325 × 4 +1/4 × 160 – 3/4 × 84
    = 5300 + 40 - 63
    = 5300 - 23 = 5277 ≈ 5280

    13. 0.5% of 449.93 ×8% of 674 = ?

    122
    110
    146
    152
    190
    13). Answer: a)
    ? = 0.5% × 449.93 × 8% of 674
    ≈1/2 × 4.5 × 8 × 6.75 = 2.25 × 54 = 121.5 ≈ 122

    14. 2/5 of ∛91125 × √324.0013 ÷ 2/5 of 44.9934 = ?

    13
    24
    35
    18
    29
    14). Answer: d)
    ? = 2/5 of ∛91125 ×√324.0013 ÷2/5 of 44.9934
    ≈2/5 × 45× 18÷ 2/5 of 45
    = 2/5 × 45 ×18 ÷18 = 18

    15. 85% of 225 + 43.012 × 42.9873 - 40% of 149.90 = ?

    1909
    1980
    1849
    1921
    1995
    15). Answer: b)
    ? = 85% of 225 + 43.012 × 42.9873 - 40% of 149.9
    ? ≈85× 225/100 + 43 ×43 - 40 ×150 / 100
    = 85 × 2.25 + 43 × 43 – 2/5 × 150
    ≈ 191 + 1849- 60 = 1980

    16.512.01 × 412.99 ÷ 119 = ?

    1720
    1740
    1820
    1845
    1775

    16). Answer: e)
    ? = 512.01 ×412.99/119
    ≈ 510× 413 / (17 × 7) = 30× 59
    = 1770 ≈1775

    17. 1699.99 × 299.88 ÷ 59.9 - 1498 + 3745 = ?

    10980
    11700
    11000
    10750
    9800
    17). Answer: d)
    ?≈ 1700 ×300 / 600 – 1498 + 3745
    = 510000 / 600 - 1498 + 3745
    = 8500 - 1498 + 3745
    = 12245 - 1498 = 10747 ≈ 10750

    18.(13.96)^2 + (16.23)^2 + (17.26)^2 - 32.95 = ?

    790
    720
    840
    780
    680
    18). Answer: b)
    ? ≈ (14^2 + (16.2^2 + (17.25^2 - 33
    ≈ 196 + 262.44 + 297.56 – 33
    ≈ 756 - 33 = 723 ≈ 720 (approximate)


    19. 1624.98 × 29.92 + 468.75 = ?

    49290
    48220
    49220
    47220
    46365
    19). Answer: c)
    ? ≈ 1625 × 30 + 469
    = 48750 + 469 = 49219 ≈ 49220


    20. 8499.99 ÷ 375.002 × 14.996 = ?

    360
    290
    480
    380
    340
    20). Answer: e)
    ?≈ 8500 /375 ×15 =340

    Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number.
    21. 2, 11, 38, 197, 1172, 8227, 65806

    11
    38
    197
    1172
    8227
    21). Answer: d)
    The series is based on the following pattern:
    2 × 3 + 5 = 11
    11 × 4 – 6 = 38
    38 × 5 + 7 = 197
    197 × 6 – 8 = 1174 ≠ 1172
    1172 is wrong and it should be replaced by 197 × 6 - 8 = 1174


    22. 16, 19, 21, 30, 46, 71, 107

    19
    21
    30
    46
    71
    22). Answer: a)
    The series is based on the following pattern:
    107 - 71 = 36
    71 - 46 = 25
    46 - 30 = 16
    30 - 21 = 9
    21 - 19 = 2≠4
    19 should be replaced by 17 for which 21 - 17 = 4


    23. 7, 9, 16, 25, 41, 68, 107, 173

    107
    16
    41
    68
    25
    23). Answer: d)
    The series is based on the following pattern:
    9 + 7 = 16
    16 + 9 = 25
    25 + 16 = 41
    41 + 25 = 66 ≠ 68
    68 should be replaced by 66.

    24. 4, 2, 3.5, 7.5, 26.25, 118.125

    118.125
    26.25
    3.5
    2
    7.5
    24). Answer: c)
    The series is based on the following pattern: ×0.5,×1.5,×2.5,×3.5,×4.5
    Obviously, 3.5 Is the wrong number which should be replaced by 3.

    25. 16, 4, 2, 1.5, 1.75, 1.875

    1.875
    1.75
    1.5
    2
    4
    25). Answer: b)
    The series is based on the following pattern: ×0.25,×0.5,×0.75,×1,×1.25
    Obviously, 1.75 is the wrong number which should be replaced by 1.5.

    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) if x> y
    b) if x ≥ y
    c) if x< y
    d) if x ≤ y
    e) if x =y, or no relation can be established between x and y.

    26. I. x^2 – 1200 = 244.
    II. y + 122 = 159

    a)
    b)
    c)
    d)
    e)
    26). Answer: e)
    I. ^2 = 1200 + 244
    X^2 = 1444
    x = √(1444) = ± 38
    II. y = 159 – 122 = 37
    Clearly, x> y or x< y
    Hence, the relationship cannot be established.

    27. I. 14x – 25 = 59 – 7x.
    II. √(y + 222) - √(36) = √(81)

    a)
    b)
    c)
    d)
    e)
    27). Answer: a)
    I. 14x + 7x = 59 + 25
    21x = 84; x = 4
    II. √(y + 222) = √(36) + √(81)
    √(y + 222) = ± 6 ±9
    √(y + 222) = ± 15
    Taking (+ve) sign,
    √(y + 222) = 15
    y + 222 = 225
    y = 225 – 222 = 3
    Taking (-ve) sign,
    √(y + 222) = -15
    (y + 222) = 225
    Y = 225 – 222 = 3
    Clearly, x> y

    28. I. 144x^2 – 16 = 9.
    II. 12y + √4 = √(49)

    a)
    b)
    c)
    d)
    e)
    28). Answer: e)
    I. 144x^2 = 16 + 9
    144x^2 = 25 ax^2 = 25 / 144
    x = ± 5 / 12
    II. 12y = √49 - √4
    12y = ± 7 – (± 2)
    12y = ± 5
    y = ± 5 / 12
    clearly, x = y

    29. I. x^2 – 9x + 20 = 0.
    II. y^2 – 13y + 42 = 0

    a)
    b)
    c)
    d)
    e)
    29). Answer: c)
    I. x^2 – 9x + 20 = 0
    x^2 – 5x -4x +20 = 0
    x(x - 5) – 4 (x - 5) = 0
    (x - 5) (x - 4) = 0
    x = 5 or 4
    II. y^2 – 13y + 42 = 0
    Y^2 – 7y – 6y + 42 = 0
    y(y - 7) – 6 (y - 7) = 0
    (y - 7) (y - 6) = 0
    Y = 6 (or) 7
    Clearly, x< y

    30. I. (√(x) / 5) + (3 √(x) / 10) = (1 / √(x)) .
    II. (10 / √(y)) – (2 / √(y)) = 4√(y)

    a)
    b)
    c)
    d)
    e)
    30). Answer: e)
    I. (2√x + 3√x) / 10 = 1 / √x
    2x + 3x = 10
    5x = 10
    x = 2
    II. (10 - 2) / √y = 4 √y
    8 = 4y
    y = 8 / 4 = 2
    Clearly, x = y

     


     
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