Crack IBPS Exam 2017 – Quantitative Aptitude Scoring Part (Day-18)

    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).(2401)^(3/4) ÷ 1/343 ÷ (49)^(7/2) = (7)^?

    -2
    -1
    1
    2
    3

    1). Answer: b)
    (7^4)^(3/4) ÷ 7^(-3) ÷ 7^7 = 7^?
    or, 7^3 ÷ 7^(-3) ÷ 7^7 = 7^?
    or, 7^(3+3-7) = 7^?
    or, 7^(-1) = 7^?
    ? = - 1

    2. 28.2% of 125 + 7.8% of 175 = 20% of ?

    242.5
    243.5
    244.5
    245.5
    246.5
    2). Answer: c)
    ? × 20 / 100 = 28.2 × 125 / 100 + 7.8 × 175 / 100
    ? × 20 / 100 = 35.25 + 13.65 = 48.9
    ? = 5 × 48.9 = 244.5

    3. ³√17576 × 676 ÷ ³√(2197)^3 = (4096)^(?/8)

    2
    4
    6
    1
    3
    3). Answer: a)
    (263)^(1/3) × (26)² ÷ 2197 = (4096)^(?/8)
    26 × (26)² ÷ (13)³ = (4096)^(?/8)
    (26/13)³ = (4096)^(?/8)
    Let ? = x
    8^1 = (4096)^(x/8) = 8^(4x/8) = 8^(x/2)
    1 = x/2
    x=2


    4. 252252 ÷ ? = 63 × 77

    48
    49
    50
    51
    52
    4). Answer: e)
    252252 ÷ ? = 63 × 77
    ? = 252252 / (63 × 77)
    ? = 252252/4851 = 52


    5). 125% of 225% of 7 / 6 of 4128 = ?

    13525
    13535
    13545
    13555
    13565
    5). Answer: c)
    ? = 125 × 225 × 7 × 4128 / (100 × 100 × 6) = 13545


    6. 7.12% of 8500 - 3.6% of 5500 = 1.6% of?

    25410
    25420
    25430
    25440
    25450
    6). Answer: e)
    ? = {(7.12 × 8500 /100) – (3.6 × 5500 /100)} × 100/1.6
    ? = (605.2 -198) × 100 /1.6
    ? = 407.2 ×100 /1.6 = 25450


    7. 13/17 of 12/19 of 47% of 40375 = ? × 6

    1525.5
    1527.5
    1528.5
    1529.5
    1530
    7). Answer: b)
    ? = 13 × 12 × 47 × 40375 / (17 × 19 × 100 × 6)
    ? = 1527.5


    8. 4608 / ? = ? / 5202

    4816
    4848
    4872
    4896
    4904
    8). Answer: d)
    (?)² = 4608 × 5202
    ? = √(16 ×17 × 18)2 = 16 × 17 × 18 = 4896

    9. (142.8 ÷ 2.4) × 7.5 ÷ 0.15 = ?

    2725
    2850
    2975
    3025
    3150
    9). Answer: c)
    ? = 59.5 × 7.5 ÷ 0.15 = 2975

    10. (7.2)^3.2 × 1 / (7.2)^1.6 ÷ (51.84)^(-1.8) × (51.84)^(-1.2) = (7.2)^?

    2.4
    2.8
    -1.2
    -2.4
    None of these
    10). Answer: b)
    (7.2)^? = (7.2)^(3.2) × (7.2)^(-1.6) ÷ (7.2)^(-3.6) × (7.2)^(-2.4)
    (7.2)^? = (7.2)^(3.2 - 1.6 + 3.6 - 2.4) = (7.2)^(2.8)
    ? = 2.8

    Direction (11-20): What approximate value should come in place of question mark (?) in the following questions?
    11. 127% of 75 + 28% of 277 = ?

    162
    173
    181
    187
    None of these
    11). Answer: b)
    ? = 127 × 75 / 100 + 28 × 277 / 100
    ? = 95.25 + 77.56
    ? = 172.81 ≈ 173

    12. ((0.18)^2 + (1.6)2)) / 0.08 = ?

    24
    28
    32
    36
    40
    12). Answer: c)
    ? ≈ (0.0324 + 2.56) / 0.08
    ? = 2.5924 / 0.08
    ? = 32.4 ≈ 32

    13. (59.842 ÷ 1.982) × 6.97 - 17.77 × 3.2 = ?

    115
    135
    105
    155
    165
    13). Answer: d)
    ? ≈ (60 ÷ 2) × 7 - 18 × 3
    ? = 210 - 54 = 156 ≈ 155

    14. ³√1330000 = ?

    103
    110
    117
    120
    128
    14). Answer: b)
    (110)³ = 1331000 ≈ 1330000

    15. {(7878 + 333 + 632) - (11.9 × 2.1 × 7.09)} × 2.532 = ?

    19600
    20100
    21700
    22800
    23000
    15). Answer: c)
    ? ≈ {8843 -(12 × 2 × 7)} × 2.5
    ? = (8843 - 168) × 2.5 = 8675 × 2.5
    ? = 21687.5 ≈ 21700

    16. 159 × 16 × ? = 20300

    6
    8
    10
    12
    15

    16). Answer: b)
    ? = 20300 / (159 × 16)
    ? = 7.979 ≈ 8

    17. (141.98 × 72.02) ÷ √1300 = ?

    215
    245
    285
    325
    355
    17). Answer: c)
    ? = 142 × 72 /36
    ? = 284 ≈ 285

    18. 2.81% of 1724.98 + 1.739% of 555.05 = ?

    24
    39
    58
    72
    84
    18). Answer: c)
    ? ≈ 2.8 × 1725 / 100 + 1.74 × 555 / 100
    ? = 48.3 + 9.657 = 57.957 ≈ 58


    19. (1369.876 + 18.98 × 19.98) ÷ 24.96 = ?

    70
    90
    110
    130
    150
    19). Answer: a)
    ? ≈ (1370 + 19 × 20) / 25
    ? = (1370 + 380) / 25
    ? = 1750 / 25 = 70


    20.(7391.9 ÷ √1935) + (17.98 × 4.49) = ?

    200
    225
    250
    275
    300
    20). Answer: c)
    ? ≈ 7392 / 44 + 18 × 4.5
    ? = 168 + 81 = 249 ≈ 250

    Direction (21 – 25): In the following number series only one number is wrong. Find out the wrong number.21. 1730, 1242, 856, 560, ?

    484
    342
    298
    306
    None of these
    21). Answer: b)
    The series is,
    (10³ +9³) + 1 = 1730
    (9³ +8³) + 1 = 1242
    (8³ +7³) + 1 = 856
    (7³ +6³) + 1 = 560
    (6³ +5³) + 1 = 342


    22. 10648, 9261, 15625, 9261, ?

    11648
    12824
    8569
    12468
    None of these
    22). Answer: e)
    The series is,
    (2³ x 11³) = 10648
    (3³ x 7³) = 9261
    (5³ x 5³) = 15625
    (7³ x 3³) = 9261
    (11³ x 2³) = 10648


    23. 999, 973, 875, 657, ?

    455
    396
    523
    271
    None of these
    23). Answer: d)
    The series is 1000 - 1³, 1000 - 3³, 1000 - 5³,1000 - 7³, 1000 - 9³

    24. 157, 284, 375, ?, 473

    436
    439
    443
    449
    None of these
    24). Answer: a)
    The series is, 500 – 7³, 500 – 6³, 500 – 5³, 500 – 4³, 500 – 3³

    25. 1, 9, 35, 91, ?, 341

    284
    103
    189
    127
    271
    25). Answer: c)
    The series is, 0³+1³, 1³+2³, 2³+3³, 3³+4³, 4³+5³, 5³+6³

    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 + 18x + 72 = 0
    II. y^2 + 6y + 8 =0

    a)
    b)
    c)
    d)
    e)
    26). Answer: c)
    I. x² + 18x + 72 = 0
    or, x² + 12x + 6x + 72 =0
    or, x(x + 12) + 6(x + 12) = 0
    x = -6, -12
    II. y² + 6y + 8 =0
    or, y² + 4y + 2y + 8 =0
    or, y(y + 4) + 2(y + 4) = 0
    y = -2, -4
    Hence x< y

    27.I. 8x^2 – 22x + 15 = 0
    II. 3y^2 – 13y + 14 = 0

    a)
    b)
    c)
    d)
    e)
    27). Answer: c)
    I. 8x² – 22x + 15 = 0
    or, 8x² - 12x - 10x + 15 = 0
    or, 4x(2x - 3) - 5(2x - 3) = 0
    or, (4x - 5) (2x - 3) = 0
    x = 5/4, 3/2
    II. 3y² – 13y + 14 = 0
    or, 3y² - 6y - 7y + 14 =0
    or, 3y(y - 2) - 7(y - 2) = 0
    or, (3y - 7) (y - 2) = 0
    y = 7/3, 2
    Hence x< y

    28. I. 9x^2 – 26x + 16 = 0
    II. 3y^2 – 16y + 20 = 0

    a)
    b)
    c)
    d)
    e)
    28). Answer: d)
    I. 9x² – 26x + 16 = 0
    or, 9x² - 18x - 8x + 16 = 0
    or, 9x(x - 2) - 8(x - 2) = 0
    or, (9x - 8) (x - 2) = 0
    x = 8/9, 2
    II. 3y² – 16y + 20 = 0
    or, 3y² - 6y - 10y + 20 =0
    or, 3y(y - 2) - 10(y - 2) = 0
    or, (3y - 10) (y - 2) = 0
    y = 2, 10/3
    Hence x ≤ y

    29. I. 10x^2 – 17x + 7 = 0
    II. 15y^2 – 19y + 6 = 0

    a)
    b)
    c)
    d)
    e)
    29). Answer: a)
    I. 10x² – 17x + 7 = 0
    or, 10x² - 10x - 7x + 7 = 0
    or, 10x(x - 1) - 7(x - 1) = 0
    or, (10x - 7) (x - 1) = 0
    x = 7/10, 1
    II. 15y² – 19y + 6 = 0
    or, 15y² - 10y - 9y + 6 =0
    or, 5y(3y - 2) – (3y - 2) = 0
    or, (3y - 2) (5y - 3) = 0
    y = 3/5, 2/3
    Hence x> y

    30. I. 12x^2 + 19x + 5 = 0
    II. 5y^2 + 16y + 3 = 0

    a)
    b)
    c)
    d)
    e)
    30). Answer: e)
    I. 12x² + 19x + 5 = 0
    or, 12x² + 4x + 15x + 5 =0
    or, 4x(3x + 1) + 5(3x + 1) = 0
    or, (4x + 5) (3x + 1) = 0
    x = -5/4, -1/3
    II. 5y² + 16y + 3 = 0
    or,5y² + 15y + y + 3 =0
    or, 5y(y + 3) + 1(y + 3) = 0
    or, (5y + 1) (y + 3) = 0
    y = -1/5, -3
    Hence no relationship can be established.



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