## 20 Oct 2016

### Mission IBPS PO 2016 - Practice Quantitative Aptitude Questions with Detailed Solutions

Mission IBPS PO 2016 - Practice Quantitative Aptitude Questions:
Dear Readers, Important Practice Aptitude Questions for IBPS PO and Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.

Directions (Q. 1-5): In the following questions two equations numbered I and II are given. you have to solve both the equations and choose the correct option.
a)    x < y
b)    x ≥ y
c)    x > y
d)    x ≤ y
e)    x = y or the relationship between x and y cannot be determined

1). I. x2 – 25x + 154 = 0
II. y2 – 20y + 99 = 0

2). I. 4x2 – 56x + 192 = 0
II. 5y2 – 80y + 315 = 0

3). I. 6x – 5y = 11
II. 3y – 4x = -5

4). I. 3x = 2187
II. 2y = 512

5). I. 45x2 – 43x + 10 = 0
II. 72y2 – 103y + 35 = 0

Directions (Q. 6-10): Study the table carefully to answer the questions that follow:
Total number of employees in different departments of an organization and (of these) percentage of females and males
 Department Total Number of Employees Percentage of females Percentage of males IT 840 45 55 Accounts 220 35 65 Production 900 23 77 HR 360 65 35 Marketing 450 44 56 Customer Service 540 40 60

6). What is respective ratio of the number of females in production department to the number of females in the Marketing department?
a)    22 : 23
b)    35 : 33
c)    23 : 22
d)    33 : 35
e)    None of these

7). What is the ratio of the number of female in the HR and Accounts departments together to the number of males in the same departments together?
a)    311 : 269
b)    268 : 319
c)    296 : 311
d)    319 : 268
e)    None of these

8). What is the total number of employees in all the departments together?
a)    3260
b)    3310
c)    3140
d)    3020
e)    None of these

9). The total number of employees in the HR department forms approximately what percent of the total number of employees in the Accounts department?
a)    149
b)    178
c)    157
d)    164
e)    137

10). What is the total number of males in the IT and Customer Service departments together?
a)    687
b)    678
c)    768
d)    876
e)    None of these

1). b)  2). e)  3). c)  4). a)  5). d)  6). c)  7). a)  8). b)  9). d)  10). e)

Solution:
1). From I, (x-11)(x-14) = 0
x = 11, 14
from II, (y-11)(y-9) = 0
y = 11, 9
hence x ≥ y

2). From I, 4(x2 – 14x + 48) = 0
4 (x-6)(x-8) = 0
x = 6, 8
From II, 5(y2 – 16y + 63) = 0
5(y - 7)(y-9) = 0
y = 7, 9
x = y or the relationship between x and y cannot be determined

3). Equ I × 2 + II ×3 à 12x – 10 y + 9y – 12x = 22-15
y = -7
and x = -4
hence x > y

4). From I, 3x = 37
x = 7
from II, 2y = 512
y = 9
hence x < y

5). From I, 45x2 – 25x – 18 x + 10 = 0
5x (9x - 5) – 2(9x - 5) = 0
(9x - 5)(5x - 2) = 0
x = 5/9, 2/5
From II, 72y2 – 40y – 63y + 35 = 0
8y (9y - 5) -7(9y - 5) = 0
(9y - 5)(8y - 7) = 0
y = 5/9, 7/8
hence x ≤ y

6). The number of females in Production department = 0.23 × 900
The number of females in Marketing department = 0.44 × 450
ratio = 0.23 × 900 : 0.44 × 450 = 0.46 : 0.44 = 23 : 22

7). The number of females in the HR and Accounts departments together = 360 × 0.65 + 220 × 0.35 = 331
The number of males in the HR and Accounts departments together = 360 × 0.35 + 220 × 0.65 = 269
ratio = 311 : 269

8). The total number of employees in all the departments together = 840 + 220 + 900 + 360 + 450 + 540 = 3310

9). The total number of employees in the HR department = 360
The total number of employees in the Accounts department = 220
Required percentage = (360/220) × 100 = 163.63%

10). The total number of males in the IT and Customer service departments together = 840 × 0.55 + 540 × 0.6 = 786