Dear Readers, Bank Exam Race for the Year 2019 is already started, To enrich your preparation here we have providing new series of Practice Questions on Quantitative Aptitude – Section. Candidates those who are preparing for NIACL AO Mains 2019 Exams can practice these questions daily and make your preparation effective.
[WpProQuiz 5250]
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Directions (Q. 1 – 5) In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
1) I) x2 – 9x – 252 = 0
II) y2 – 6y – 187 = 0
Â
2) I) 3/√x + 7/√x = √x
II) y2 = 125/2/ √y
Â
3) I) 3x = 5y – 4    Â
II) 5x + 7y – 70 = 0
Â
4) I) 4x2 + 4x – 48 = 0
II) 3y2 – 22y + 32 = 0
Â
5) I) x2 + 24x – 81 = 0
II) y2 + y – 56 = 0
Directions (Q. 6 – 10) Study the following information carefully and answer the given questions:
The following bar graph shows the number of tourists (in thousands) visited six different places in India in the year 2016 and the table shows the percentage of male, female and children’s among them.
6) Find the total number of male tourists visited all the given cities together?
a) 242850
b) 256730
c) 198640
d) 295460
e) None of these
7) Total number of females and children’s who are all visited the city A and D together is approximately what percentage more/less than the total number of males and children’s who are all visited the city B and E together?
a) 20 % more
b) 30 % more
c) 10 % more
d) 20 % less
e) 30 % less
8) Find the difference between the total number of males who are all visited the city B, C and F together to that of total number of females who are all visited the city A, D and E together?
a) 19870
b) 21740
c) 28350
d) 27560
e) None of these
9) Find the ratio between the total number of males to that of children’s who are all visited all the given cities together?
a) 4112 : 2895
b) 4857 : 3181
c) 3562 : 2893
d) 5126 : 3895
e) None of these
10) Total number of peoples who visited the city A, B and E together is approximately what percentage of the total number of peoples who visited the city C, D and F together?
a) 110 %
b) 125 %
c) 95 %
d) 80 %
e) 135 %
Answers :
Direction (1-5) :
1) Answer: e)
I) x2 – 9x – 252 = 0
(x – 21) (x + 12) = 0
X = 21, -12
II) y2 – 6y – 187 = 0
(y – 17) (y + 11) = 0
Y = 17, -11
Can’t be determined
2) Answer: c)
I) 3/√x + 7/√x = √x
(3 + 7) / √x = √x
X = 10
II) y2 = 125/2/ √y
y2 × √y = 125/2
y2 + (1/2) = 125/2
y5/2 = 125/2
y = 12
x < y
3) Answer: a)
3x – 5y = 4–> (1)
5x + 7y = 70–>(2)
By solving the equation (1) and (2),
X = 7, y = 5
x > y
4) Answer: e)
I) 4x2 + 4x – 48 = 0
4x2 + 16x – 12x – 48 = 0
4x (x + 4) – 12 (x + 4) = 0
(4x – 12) (x + 4) = 0
X = 12/4, -4 = 3, -4
II) 3y2 – 22y + 32 = 0
3y2 – 6y – 16y + 32 = 0
3y (y – 2) – 16 (y – 2) = 0
(3y – 16) (y – 2) = 0
Y = 16/3, 2 = 5.33, 2
Can’t be determined
5) Answer: e)
I) x2 + 24x – 81 = 0
(x + 27) (x – 3) = 0
X = -27, 3
II) y2 + y – 56 = 0
(y + 8) (y – 7) = 0
Y = -8, 7
Can’t be determined
Answer: a)
 
The total number of male tourists visited all the given cities together
= > 38500 + 49400 + 63000 + 36800 + 30400 + 24750
= > 242850
7) Answer: d)
Total number of females and children’s who are all visited the city A and D together
= > 49500 + 22000 + 23200 + 20000
= > 114700
Total number of males and children’s who are all visited the city B and E together
= > 49400 + 33800 + 30400 + 28500
= > 142100
Required % = [(142100 – 114700)/142100]*100
= > 19.28 % = 20 % less
8) Answer: c)
The total number of males who are all visited the city B, C and F together
= > 49400 +63000 + 24750 = 137150
The total number of females who are all visited the city A, D and E together
= > 49500 + 23200 + 36100 = 108800
Required difference = 137150 – 108800 = 28350
9) Answer: b)
The total number of males who are all visited all the given cities together
= > 38500 + 49400 + 63000 + 36800 + 30400 + 24750
= > 242850
The total number of children’s who are all visited all the given cities together
= > 22000 + 33800 + 36000 + 20000 + 28500 + 18750
= > 159050
Required ratio = 242850 : 159050 = 4857 : 3181
10) Answer: a)
Total number of peoples who visited the city A, B and E together
= > 110000 + 130000 + 95000
= > 335000
Total number of peoples who visited the city C, D and F together
= > 150000 + 80000 + 75000
= > 305000
Required % = (335000/305000)*100 = 110 %
