Crack IBPS Exam 2017 – Quantitative Aptitude Scoring Part (Day-14)

    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). 243 × 124 - 25340 = ?

    4729
    4792
    4972
    4927
    None of these

    1). Answer: b)
    ? = 243 × 124 - 25340
    ? = 30132 - 25340 = 4792

    2. 92 ÷ 8 ÷ 2 = ?

    4.75
    5.75
    4.25
    5.25
    None of these
    2). Answer: b)
    ? = 92 / (8 × 2)
    ? = 5.75

    3. (121)^3 × 11 ÷ (1331)^2 = (11)^?

    3
    2
    1
    0
    None of these
    3). Answer: c)
    (121)^3 × 11 ÷ (1331)^2 = (11)^?
    or (11^2)^3 × 11 / (11^3)^2 = (11)^?
    (11) ^? = (11)^6 × 11 / (11)^6
    (11)^? = (11)^1
    ? = 1


    4. 283.56 + 142.04 + 661.78 = ?

    1084.28
    1087.28
    1080.38
    1082.48
    None of these
    4). Answer: e)
    ? = 283.56 + 142.04 + 661.78
    ? = 1087.38


    5). 7028 ÷ 25 = ?

    218.12
    281.21
    218.21
    282.12
    None of these
    5). Answer: e)
    7028 ÷ 25 = 281.12


    6. 390.5 × √? = 284 × 22

    (256)^2
    16
    64
    256
    None of these
    6). Answer: d)
    390.5 × √? = 284 × 22
    or 284 × 22 / 390.5 = √?
    62480 / 3905 = √?
    √? = 16
    ? = 256


    7. 12.5 × 8.4 × 7.6 = ?

    787
    788
    799
    789
    None of these
    7). Answer: e)
    ? = 12.5 × 8.4 × 7.6 = 798


    8. 4477 ÷ (44 × 5.5) = ?

    24.5
    21.5
    16.5
    18.5
    None of these
    8). Answer: d)
    ? = 4477 / (44 × 5.5)
    ? = 4477 / 242
    ? = 18.5

    9. 33.5% of 250 = ?

    76.25
    82.25
    78.75
    83.75
    None of these
    9). Answer: d)
    ? = 33.5 /100 × 250
    ? = 33.5 × 2.5
    ? = 83.75

    10.1/2 of 3/5 of 4/9 of 5820 = ?

    766
    777
    776
    767
    None of these
    10). Answer: c)
    ? = 1/2 × 3/5 × 4/9 × 5820
    ? = 69840 / 90
    ? = 776

    Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
    11.8787 ÷ 343 × √50 = ?

    250
    140
    180
    100
    280
    11). Answer: c)
    ? = 8787 ÷ 343 × √50
    ? = 25.61 × 7.07 = 181.09 ≈ 180

    12. ³√54881 × (303 ÷ 8) = (?)^2

    48
    38
    28
    18
    58
    12). Answer: b)
    ³√54881 × (303 ÷ 8) = (?)^2
    (?)^2 = 38 × 37.8
    (?)^2 ≈ 38 × 38
    ? = 38

    13. 5/8 of 4011.33 + 7/10 of 3411.22 = ?

    4810
    4980
    4890
    4930
    4850
    13). Answer: c)
    ? = 5/8 × 4011.33 + 7/10 × 3411.22
    ? = 20056.65 / 8 + 23878.54 / 10
    ? = 2507.08 + 2387.854
    ? ≈ 2507 + 2388
    ? = 4895 ≈ 4890

    14. 23% of 6783 + 57% of 8431 = ?

    6460
    6420
    6320
    6630
    6360
    14). Answer: e)
    ? = 23% of 6783 + 57% of 8431
    ? = 23/100 × 6783 + 57/100 × 8431
    ? = 23 × 67.83 + 57 × 84.31
    ? = 1560.09 + 4805.67
    ? = 6365.76 ≈ 6360

    15. 335.01 × 244.99 ÷ 55 = ?

    1490
    1550
    1420
    1590
    1400
    15). Answer: a)
    ? = 335.01 × 244.99 ÷ 55
    ? ≈ 335 × 245 ÷ 55
    ? = 335 × 245/55 = 82075 / 55
    ? = 1492.27 ≈1490

    16. (280% of 1525) ÷ 16.96 = ?

    210
    220
    230
    240
    250

    16). Answer: e)
    ? ≈ 280 × 1525 / (100 × 17)
    ? = 251.17 ≈ 250

    17. 668.612 + 119.19 × 21.86 - 79.54 = ?

    3000
    3100
    3200
    3300
    3400
    17). Answer: c)
    ? ≈ 670 + 119 × 22 - 80
    ? = 670 + 2618 - 80 = 3288 - 80
    ? = 3208 ≈ 3200

    18. 612.98 ÷ 15.05 ÷ 6.12 = ?

    7
    12
    15
    18
    20
    18). Answer: a)
    ? ≈ 613 / (15 × 6) = 6.81 ≈ 7


    19. ³√615 = ?

    4.5
    5.5
    6.5
    7.5
    8.5
    19). Answer: e)
    (8.5) ^3 = 614.125 ≈ 615
    ³√615 ≈ 8.5


    20.(314% of 711) ÷ 114 = ?

    16
    20
    24
    28
    32
    20). Answer: b)
    ? ≈ 314 × 710 / (100 × 114)
    ? = 19.55 ≈ 20

    Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number.21. 40, 326, 2946, 29418, 323607

    326
    40
    2946
    323607
    29418
    21). Answer: c)
    The series is,
    40 x 8+6 = 326
    326 x 9+7 = 2941 ≠ 2946
    2941 x 10+8 = 29418
    29418 x 11+9 = 323607


    22. 560, 1089, 1725, 2443, 3284, 4245

    2443
    1725
    4245
    3284
    560
    22). Answer: b)
    The difference between numbers is +23^² ,+25^² , +27^² , +29^² .......
    Therefore, 1089 + 25^2 = 1714 ≠ 1725


    23. 3250, 3082, 2958, 2876, 2826

    3082
    2876
    2826
    3250
    2958
    23). Answer: a)
    The difference between numbers is -(13^²+1), -(11^²+1), -(9^²+1) , -(7^²+1), -(5^²+1)
    3250 - (13^²+1) = 3080 ≠ 3082

    24. 2442 , 1222 , 614 , 312 ,163 , 90 , 56.25

    1222
    312
    90
    614
    163
    24). Answer: c)
    The series is,
    2442/2 + 1 = 1222
    1222/2 + 3= 614
    614/2 + 5 = 312
    312/2 + 7 =163
    163/2 + 9 = 90.5 ≠ 90
    90.5/2 + 11 = 56.25

    25. 1254, 1322, 1450, 1674, 2024, 2544

    1322
    1674
    2544
    2024
    1450
    25). Answer: e) The difference between numbers is +(4^³+4) , +(5^³+5), +(6^³+6) , +(7^³+7), +(8^³+8)
    1322 + (5^³+5) =1452 ≠ 1450

    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 relationship between x and y can't be established.

    26. I. 4x^2 - 13x - 17 =0
    II. 3y^2 + 10y + 8 = 0

    a)
    b)
    c)
    d)
    e)
    26). Answer: a)
    I. 4x^2 - 13x - 17 = 0
    or, 4x^2 -17x + 4x - 17 = 0
    or, 4x(x + 1) --17(x + 1) = 0
    or, (4x - 17) (x + 1) = 0
    x = 17/4, -1
    II. 3y^2+ 10y + 8 = 0
    or, 3y^2 + 6y + 4y + 8 = 0
    or, 3y (y + 2) + 4(y + 2) = 0
    or, (3y + 4) (y + 2) = 0
    y = - (4/3) , -2
    Hence x> y

    27.I. 7x + 3y = 7
    II. 5x - 6y = 8

    a)
    b)
    c)
    d)
    e)
    27). Answer: a)
    I. 7x + 3y =7 ...(i)
    II. 5x – 6y = 8 …(ii)
    Solving (i) x 6 + (ii) x 3, we get
    42x +18y = 42
    15x -18y = 24
    57x =66
    x = 66/57 = 22/19
    Putting the value of x in equation (i), we get
    7× (22/19) + 3y = 7
    Or, 3y = 7 – (154/19) = - (21/19)
    y = - (7/19)
    Hence x> y

    28. I. x^2 +10x – 96 = 0
    II. 3y^2 + 11y -14=0

    a)
    b)
    c)
    d)
    e)
    28). Answer: e)
    I. x^2 + 10x - 96 = 0
    or, x^2+ 16x - 6x - 96 = 0
    or, x(x + 16) - 6(x + 16) = 0
    or, (x - 6) (x + 16) = 0
    x = 6, -16
    II. 3y^2 + 11y - 14 = 0
    or, 3y^2 + 14y - 3y - 14 = 0
    or, 3y(y - 1)+ 14(y- 1) = 0
    or, (3y + 14) (y - 1) = 0
    y = - (14/3), 1
    Hence no relationship can be established.

    29. I. x^2 - 6x + 5 = 0
    II. y^2 - 4y + 3 = 0

    a)
    b)
    c)
    d)
    e)
    29). Answer: e)
    I. x^2 - 6x + 5 = 0
    or, x^2 - 5x - x + 5 = 0
    or, x(x - 5) - 1(x - 5) = 0
    or, (x - 1) (x - 5) = 0
    x = 1, 5
    Il.y^2 - 4y + 3 = 0
    or, y^2 - 3y - y + 3 = 0
    or, y(y - 3) - 1(y - 3) = 0
    or, (y -1) (y - 3) = 0
    y = 1, 3
    Hence no relation can be established.

    30. I. x^2 - 11x + 30 = 0
    II. y^2 - 7y + 10 = 0

    a)
    b)
    c)
    d)
    e)
    30). Answer: d)
    I. x^2 – 11x + 30 = 0
    or, x^2 - 6x - 5x + 30 = 0
    or, x(x -6) – 5 (x - 6) = 0
    or, (x - 5) (x - 6) = 0
    x = 5, 6
    II. y^2 - 7y + 10 = 0
    or, y^2 - 5y - 2y + 10 = 0
    or, y(y - 5) – 2(y – 5) = 0
    or, (y - 2) (y - 5) = 0
    y = 2, 5
    Hence x ≥ y


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