Quant Test for IBPS Clerk 2018 Main Exam Set – 31

Directions(1-5): Find the odd one out from the following series.

  1. 10,16,28,48,78,125,176
    78
    48
    125
    176
    10
    Option C
    +(3*2)
    +(4*3)
    +(5*4)
    +(6*5)
    +(7*6)
    +(8*7)
    120 should be in place of 125.

     

  2. 1022,510,508,764,1514,3780
    1022
    764
    510
    1514
    3780
    Option B
    *0.5-1
    *1-2
    *1.5-3
    *2-4
    *2.5-5
    759 should be in place of 764.

     

  3. 23,48,273,898,2123,4145
    48
    273
    898
    23
    4145
    Option E
    +5^2,+15^2,+25^2,+35^2,+45^2
    4148 should be in place of 4145.

     

  4. 21,42,73,104,141,182
    141
    73
    42
    21
    104
    Option C
    +23,+29,+31,+37,+41
    44 should be in place of 42.

     

  5. 23,27,18,30,9,45
    30
    27
    18
    23
    9
    Option A
    +2^2,-3^2,+4^2,-5^2,+6^2
    34 should be in place of 30.

     

  6. Directions(6-10): Compare statement I and statement II and choose a required answer.

  7. Find the present age of Varun.
    Statement I: Present age of Varun is 25% less than the present age of Vinit. Difference in the present ages of Varun and Vinit is 10 years.
    Statement II: Present ages of Varun and Vinit are in the ratio 3:4 resp. Varun is 10 years younger than Vinit.

    I alone.
    Both I and II.
    Either I or II.
    II alone.
    Neither I nor II.
    Option C
    From I:
    Let the present age of Vinit be x years.
    Present age of Varun = 0.75x years
    Now, x – 0.75x = 10
    => x = 40
    Present age of Varun = 0.75*40 = 30 years
    I alone is sufficient.
    From II:
    Let the present ages of Varun and Vinit be 3x years and 4x years resp.
    4x – 3x = 10
    => x = 10
    II alone is sufficient.
    Either I or II.

     

  8. Find the length of the Shatabdi express.
    Statement I: Shatabdi express can cross a pole and a platform 216 m long in 9 seconds and 17 seconds resp.
    Statement II: Shatabdi express moving with a speed of 27 m/s can cross a man standing on platform in 9 seconds.

    Either I or II.
    II alone.
    Neither I nor II.
    I alone.
    Both I and II.
    Option A
    From I:
    Let the length of the train be x m.
    Now, x/9 = (x+216)/17
    => x = 243
    I alone is sufficient.
    From II:
    Length of train = 27*9 = 243 m
    II alone is sufficient.
    Either I or II.

     

  9. A bag contains red, blue and green balls in the ratio 7:4:10 resp. Find the number of balls in the bag.
    Statement I: Probability of drawing a red ball from the bag is 1/3.
    Statement II: Two balls are randomly drawn from the bag and the probability that a red and a green ball are drawn is 1/3.

    Neither I nor II.
    II alone.
    Both I and II.
    Either I or II.
    I alone.
    Option B
    From I:
    Probability of red ball from the bag = 7C1/21C1 = 1/3
    I alone is not sufficient.
    From II:
    Probability of a red and a green ball from the bag = (7C1*10C1)/21C2 = 1/3
    (2*7x*10x)/21*(21x-1) = 1/3
    => x = 1
    So, the number of balls in the bag = 7+4+10 = 21
    II alone is sufficient.

     

  10. There are five consecutive odd numbers. Find the second largest odd number.
    Statement I: Largest odd number is three less than twice the smallest odd number.
    Statement II: Largest odd number is eight more than the smallest odd number.

    I alone.
    Both I and II.
    Neither I nor II.
    II alone.
    Either I or II.
    Option A
    From I:
    Let the five consecutive odd numbers are (2x+1),(2x+3),(2x+5),(2x+7) and (2x+9)
    2*(2x+1) – 3 = 2x + 9
    => x = 5
    second largest odd number = 2*5+7 = 17
    I alone is sufficient.
    From II:
    Let the five consecutive odd numbers are (2x+1),(2x+3),(2x+5),(2x+7) and (2x+9)
    2x+9 – (2x+1) = 8
    => 8 = 8
    II alone is not sufficient.

     

  11. Gopal invested Rs.x in a scheme offering simple interest. Find the value of x.
    Statement I: Interest earned by Gopal after three years is Rs. 1800.
    Statement II: Interest earned by Gopal after seven years is Rs. 4200.

    Both I and II.
    Either I or II.
    I alone.
    Neither I nor II.
    II alone.
    Option D
    From I:
    Let the rate of interest be y%.
    Interest earned after three years = (x*3*y)/100 = 1800
    => xy = 60000 I alone is not sufficient.
    From II:
    Let the rate of interest be y%.
    Interest earned after seven years = (x*7*y)/100 = 4200
    => xy = 60000
    II alone is not sufficient.
    Combining I and II, Not sufficient.

     


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