# 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