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.

    

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 :



 

6. 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

    

7. 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

    

8. 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

    

9. 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

    

10. 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