Quant Test for IBPS PO 2018 Prelim Exam Set – 12

Directions(1-5): Find the relation between x and y and choose a correct option accordingly.

  1. I.2x^2 – 23x + 60 = 0
    II.y^2 – 10y + 24 = 0

    y>=x
    y>x
    x>=y
    x>y
    x=y or relation cannot be established.
    Option E
    x = 4 and 15/2
    y = 6 and 4
    No relation.

     

  2. I. (x–8) (2y+9) = 25
    II. (2x–16) (y–4) = 8

    x>y
    x>=y
    y>=x
    y>x
    x=y or relation cannot be established.
    Option A
    I. 2xy+9x–16y–72 = 25
    II. 2xy–8x–16y+64 = 8
    x= 9 y = 8
    x>y

     

  3. I. 4x^4 = 128/x
    II. √y+ 15y/√y = 4y^5/2

    x=y or relation cannot be established.
    y>x
    y>=x
    x>=y
    x>y
    Option D
    I. 4x^4 = 128/x
    =>4x^5 = 128
    =>x^5 = 32
    =>x^ 5 = 25
    => x = 2
    II. √𝑦+ 15𝑦/√𝑦 = 4𝑦^5/2
    =>y+15y = 4y^3
    =>y(1+15) = 4y^3
    =>16 = 4y^2
    =>4 = y^2
    =>y = ±2
    x≥y

     

  4. I.2x^2 – 29x + 104 = 0
    II.5y^2 – 42y + 64 = 0

    x=y or relation cannot be established.
    x>=y
    y>x
    x>y
    y>=x
    Option D
    I. 2x^2 – 29x + 104 = 0
    II.5y^2 – 42y + 64 = 0
    x = 8 and 13/2
    y = 2 and 32/5
    x>y

     

  5. I. 6x^2–19x–36 = 0
    II. 4y^2–47y+120 = 0

    x>=y
    x>y
    x=y or relation cannot be established.
    y>=x
    y>x
    Option C
    I. 6x^2–19x–36 = 0
    =>6x^2–27x+8x–36 = 0
    x = + 27/6 = + 4.5 and – 8/6 = –1.33
    II. 4y^2–47y+120 = 0
    =>4y^2–32y–15y+120 = 0
    =>y = + 32/4 = +8 and + 15/4 = +3.75
    No relation.

     

  6. Directions(6-10): Read the following Pi–chart carefully and answer the questions that follows :
    Percentage distribution of the number of Mobile Phones sold by the shopkeepers during seven months :

    Ratio between number of Mobile Phones sold by company A, B and C during months :

     

  7. If 75 % of the Mobile Phones sold by company B in September at discount rate, how many Mobile Phones sold without discount ?
    620
    640
    680
    600
    650
    Option B
    Number of phones w/o discount = [16*48000*5]/[15*4] = 640

     

  8. What is the respective ratio of Mobile phones sold by company A and company B in September together sold by company B and C in November together ?
    32 : 21
    33 : 25
    30 : 26
    34 : 21
    31 : 20
    Option A
    Required ratio
    = 48000*16%*4/15*5/15 : 48000*10%*7/15*3/15
    = 32 : 21

     

  9. If shopkeeper earned a profit of Rs. 220 on each Mobile Phone sold by company C in October. What was his total profit earned by the same company in same months ?
    825000
    835000
    800000
    805000
    720000
    Option A
    Total Profit = [48000*25%*5/16]*220
    = Rs. 825000

     

  10. What is the total number of Mobile Phones sold by all companies in August and November together ?
    13000
    12000
    12500
    11500
    10000
    Option B
    Number of Mobile Phones = 48000 × (15 % + 10 %)
    = 48000 × 25 % = 48000*25% = 12000

     

  11. What is the ratio of the number of Mobile Phones sold by company A in December to those sold in November by the company B ?
    16 : 33
    13 : 35
    11 : 31
    17 : 32
    16 : 35
    Option E
    Required ratio = [48000* 8%* 4]/15 : 48000*7/15*10
    = 32 : 70 = 16 : 35

     


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