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.

    

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

6. 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.

    

7. 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.

    

8. 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.

    

9. 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.

    

10. 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.