## 17 Aug 2016

### IBPS PO/Upcoming Exams 2016-Aptitude Questions (Mixed) [Answers Updated]

IBPS PO/Upcoming Exams 2016-Aptitude Questions (Mixed Quiz) Set-18:
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): Following table shows the population of six different cities and the ratio of Males to Females among them and the ratio of Adults to Children in the total population. Answer the given questions based on this table.

 City Total population Male : Female Adult : Children Chennai 410400 13 : 11 5 : 3 Mumbai 369900 5 : 4 7 : 2 Jaipur 442800 5 : 7 7 : 5 Bangalore 465500 17 : 18 4 : 3 Agra 499500 5 : 4 5 : 4 Kochi 366000 8 : 7 17 : 13

1). What is the total number of females of Kochi?
a)   1.432 lakh
b)   1.578 lakh
c)   1.708 lakh
d)   1.952 lakh
e)   2.12 lakh

2). What is the total number of males of Jaipur and Bangalore together?
a)   3.784 lakh
b)   4.106 lakh
c)   4.248 lakh
d)   4.726 lakh
e)   5.04 lakh

3). What is the difference between the total adult and total child population of Chennai?
a)   0.918 lakh
b)   1.026 lakh
c)   1.124 lakh
d)   1.107 lakh
e)   1.248 lakh

4). Which of the following cities has the maximum adult population?
a)   Agra
b)   Bangalore
c)   Jaipur
d)   Mumbai
e)   Chennai

5). The total number of females of Mumbai is what per cent of its male population of the same city?
a)   40%
b)   60%
c)   80%
d)   120%
e)   125%

6). Kalam brother is 3 years elder than Kalam. Kalam father was 28 years of age when Kalam sister was born while Kalam mother was 26 years of age when Kalam was born. If Kalam sister was 4 years of age when Kalam brother was born, then what was the age Kalam father when Kalam brother was born?
a)   36 years
b)   30 years
c)   31 years
d)   32 years
e)   None of these

7). Machine X can print one lakh books in 8 hours. Machine Y can print the same number of books in 10 hours while machine Z can print the same in 12 hours. All the machines started printing at 9 A.M. Machine X is stopped at 11 A.M. and the remaining two machines complete work. Approximately at what time will the printing of one lakh books be completed?
a)   4 pm
b)   1.30 pm
c)   1 pm
d)   12 am
e)   12.30

8). A bag contains 4 Red, 8 Black and 12 White balls. Three balls are drawn randomly. What is the probability that the balls drawn are of different colours?
a)   12/253
b)   16/253
c)   24/253
d)   48/253
e)   205/253

9). A rectangular solid metal which is 36 cm long, 18 cm broad and 3 cm high, is to be melted and cast into two different cubes, the volume of the bigger being eight times that of the smaller one. Find the surface area of the smaller cube.
a)   180 cm2
b)   36 cm2
c)   144 cm2
d)   150 cm2
e)   None of these

10). Average cost of 8 bags and 5 boxes is `25. While the average cost of 4 bags and 7 boxes is `21. What is the total cost of 18 bags and 18 boxes?
a)   `586
b)   `834
c)   `1112
d)   `724
e)   None of these

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

Solution:
1). Total female population of Kochi
= 366000 × 7/15 = 1.708 lakh

2). Total male population of Jaipur
= 4.428 × 5/12 = 1.845 lakh
Total male population of Bangalore
= 4.655 × 17/35 = 2.261 lakh = 2.261 lakh

3). Difference = 4.104 × (5-3)/8
= 4.104 × 2/8 = 1.026 lakh

4). Adult population of
Chennai = 2.565 lakh
Mumbai = 2.877 lakh
Jaipur = 2.583 lakh
Bangalore = 2.66 lakh
Agra = 2.775 lakh
Kochi = 2.074 lakh
Hence, Mumbai has the maximum number of adults.

5). The ratio of males to females in Mumbai,
ie M : F = 5 :   4
4 / 5 × 100 = 80%

6). Let Kalam age = x
Then
Kalam brother's age = x + 3
Kalam mother's age = x + 26
Kalam sister's age = (x + 3) + 4 = x + 7
Kalam Father's age = (x + 7) + 28 = x + 35
=> age Kalam father when Kalam brother was born = x + 35 – (x + 3) = 32

7). Work done by X in 1 hour = 1/8
Work done by Y in 1 hour = 1/10
Work done by Z in 1 hour = 1/12
Work done by X,Y and Z in 1 hour = 1/8 + 1/10 + 1/12 = 37/120
Work done by Y and Z in 1 hour = 1/10 + 1/12 = 22/120 = 11/60
From 9 am to 11 am, all the machines were operating.
Ie, they all operated for 2 hours and work completed = 2 × (37/120) = 37/60
Pending work = 1- 37/60 = 23/60
Hours taken by Y an Z to complete the pending work = (23/60) / (11/60) = 23/11
This is approximately equal to 2
Hence the work will be completed approximately 2 hours after 11 am ; ie around 1 pm

8). Total number of balls = 4 + 8 + 12 = 24
n(s) = 24C3 = 2024
Number of ways to select one ball of each colour
= n (E) = 4C1 × 8C1 × 12C1 = 4 × 8 × 12 = 384
P (E) = 384 / 2024
= 48 / 253

9). Volume of cuboid = volume of two cubes together
36 × 18 × 3 = a3 + 8a3
a3 = 216
a = 6 cm
Surface area of the smaller cube = 6 × 62 = 216 cm2

10). 8 bag + 5 box = 25 × 13 = 325
4 bag + 7 box = 21 × 11 = 231
12 bag + 12 box = 556
Total cost of 18 bags and 18 boxes
= 556 × 3 / 2 = `834