Quant Test for IBPS Clerk 2018 Prelim Exam Set – 05

Directions(1-5): Find the wrong number of the following series.

1. 450,449,460,430,494,369,585
   494
   450
   369
   460
   585
   Option D
   -(1)^3
   +(2)^3
   -(3)^3
   +(4)^3
   -(5)^3
   +(6)^3
   457 should be in place of 460.

    

2. 20,27,41,64,98,150,207
   41
   20
   27
   64
   150
   Option E
   +(3*2)+1
   +(4*3)+2
   +(5*4)+3
   +(6*5)+4
   +(7*6)+5
   +(8*7)+6
   145 should be in place of 150.

    

3. 102,50,48,69,140,330
   48
   140
   50
   102
   330
   Option B
   *0.5-1
   *1-2
   *1.5-3
   *2-4
   *2.5-5
   134 should be in place of 140.

    

4. 50,113,239,454,800,1309
   800
   50
   239
   113
   454
   Option A
   +(4^3 -1)
   +(5^3+1)
   +(6^3 -1)
   +(7^3+1)
   +(8^3 -1)
   798 should be in place of 800.

    

5. 28,53,278,903,2128,4256
   53
   278
   4256
   2128
   28
   Option C
   +5^2
   +15^2
   +25^2
   +35^2
   +45^2
   4153 should be in place of 4256.

    

6. The average weight of a group of (x-3) students is (x-4) kg. If a teacher of weight 54 kg joins the class, then average weight of the group increased by 1 kg. Find the strength of the group excluding the teacher.
   10
   25
   14
   23
   35
   Option D
   {(x-3)(x-4)+54}/{(x-3)+1} = (x-4)+1
   => x = 26
   Strength of the group = 26 – 3 = 23

    

7. 9 women and 6 children can complete a given work in 8 days. If additional 4 women joined them., then they could finish (2/3) of the work in 4 days. Find the time taken by 24 women to complete the work.
   6 days
   7 days
   4 days
   8 days
   5 days
   Option C
   (9W + 6C)*8 = (9W + 6C + 4W)*[1/(2/3)]*4
   => (18W + 12C) = (13W + 6C)*(3/2)
   => 36W + 24C = 39W + 18C
   => 3W = 6C => 1W = 2C
   Now, 9W + 6C = 18C + 6C = 24 C
   Then,24W = 48 C
   => 8*24/48 = 4 days

    

8. A article is sold at a profit of 21%. If the cost price is increased by 10% and the selling price remains the same, then find the profit percentage.
   50%
   40%
   30%
   10%
   20%
   Option D
   Let CP be x.
   SP = 1.21x
   Increased cost = 1.1x
   Profit = 1.21x – 1.1x = 0.11x
   Profit% = 0.11x/1.1x*100 = 10%

    

9. Find the number of words that can be formed using the letters of the word “IRIDIUM” so that vowels always come together.
   90
   96
   75
   88
   80
   Option B
   Required Probability = 4!*4!/3! = 96

    

10. A bag contains 54 balls of three different colors Red, Green and Yellow. The probability of drawing a green ball is (1/3) and the number of yellow balls is twice the number of red balls in the bag. Find the probability of drawing a yellow ball from the bag.
    2/7
    5/9
    7/10
    4/9
    3/11
    Option D
    Number of green balls = 54 *1/3 =18
    Remaining = 54 – 18 = 36
    Let red and yellow ball be x and 2x resp.
    Therefore, 2x+x = 36
    => 3x = 36
    => x = 12
    Number of yellow balls = 12*2 = 24
    Required probability = 24/54 = 4/9