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 5372]
Click here to take NIACL AO Mock Test
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) 3x2 – 5x – 42 = 0
II) 4y2 – 8y – 77 = 0Â
2)
I) 3x – 4y + 7 = 0
II) 2x – 5y = ∛343Â
3)
I) 3x2 + 18x – 81 = 0
II) 5y2 + 26y + 33 = 0
4)
I) x2 = ∜614656 ÷ 7 + (5/7) of 35 + ∛343
II) y5 = 7776
5)
I) 3x/√x + 4x/√x = x
II) y3 = 117649
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following table shows the number of mobile phones (in lakhs) manufactured by four different companies in six different years.
6) Total number of mobile phones manufactured by Company C in all the given years is approximately what percentage more/less than the total number of mobile phones manufactured by Company B in all the given years?
a) 24 % less
b) 32 % more
c) 32 % less
d) 24 % more
e) 8 % more
7) If in the year 2018, total manufacturing of Company A, B, C and D be increased by 12 %, 14 %, 18 %, 21 % while comparing with the previous year, then find the total manufacturing of all the given companies together in the year 2018?
a) 13452000
b) 15783000
c) 16894000
d) 14277000
e) None of these
8) Find the ratio between the total manufacturing of company A in the year 2013, 2015, 2016, 2017 together to that of Company D in the year 2012, 2014, 2016, 2017 together?
a) 137: 101
b) 125: 98
c) 113: 87
d) 102: 75
e) None of these
9) The average number of mobile phones manufactured by all the given companies in the year 2014 is approximately what percentage of the average number of mobile phones manufactured by all the given companies in the year 2017?
a) 74 %
b) 83 %
c) 92 %
d) 107 %
e) 94 %
10) Find the difference between the total number of mobile phones manufactured by all the given companies in the year 2012 and 2013 to that of total number of mobile phones manufactured by all the given companies in the year 2015 and 2016 together?
a) 16 lakhs
b) 21 lakhs
c) 13 lakhs
d) 25 lakhs
e) None of these
Answers:
Directions (Q.1-5):
1) Answer: e)
I) 3x2 – 5x – 42 = 0
3x2 + 9x – 14x – 42 = 0
3x (x + 3) – 14 (x + 3) = 0
(3x – 14) (x + 3) = 0
X = 14/3, -3 = 4.66, -3
II) 4y2 – 8y – 77 = 0
4y2 + 14y – 22y – 77 = 0
2y (2y + 7) – 11(2y + 7) = 0
(2y – 11) (2y + 7) = 0
Y = 11/2, -7/2 = 5.5, -3.5
Can’t be determined
2) Answer: c)
I) 3x – 4y + 7 = 0
3x – 4y = -7 —-> (1)
II) 2x – 5y = ∛343
2x – 5y = 7 —-> (2)
By solving the equation (1) and (2), we get,
X = -9, y = -5
X < y
3) Answer: e)
I) 3x2 + 18x – 81 = 0
3x2 – 9x + 27x – 81 = 0
3x (x – 3) + 27 (x – 3) = 0
(3x + 27) (x – 3) = 0
X = -27/3, 3 = -9, 3
II) 5y2 + 26y + 33 = 0
5y2 + 15y + 11y + 33 = 0
5y (y + 3) + 11 (y + 3) = 0
(5y + 11) (y + 3) = 0
Y = -11/5, -3 = -2.2, -3
Can’t be determined
 4) Answer: d)
I) x2 = ∜614656 ÷ 7 + (5/7) of 35 + ∛343
X2 = (28/7) + (5/7)*35 + 7
X2 = 4 + 25 + 7 = 36
X = 6, -6
II) y5 = 7776
Y = (7776)1/5 = 6
X ≤ y
5)Â Answer: e)
I) 3x/√x + 4x/√x = x
7x/√x = x
√x = 7
X = 49
II) y3 = 117649
Y = ∛117649 = 49
X = y
Directions (Q.6-10):
6) Answer: a)
Total number of mobile phones manufactured by Company C in all the given years
= > 22 + 29 + 18 + 14 + 20 + 27
= > 130 lakhs
Total number of mobile phones manufactured by Company B in all the given years
= > 27 + 26 + 24 + 34 + 23 + 37
= > 171 lakhs
Required % = [(171 – 130)/171]*100 = 23.97 % = 24 % less
7) Answer: d)
In the year 2018, total manufacturing of Company A, B, C and D,
= > 43*(112/100) + 37*(114/100) + 27*(118/100) + 17*(121/100)
= > 48.16 + 42.18 + 31.86 + 20.57
= > 142.77 lakhs = 14277000
8) Answer: a)
The total manufacturing of company A in the year 2013, 2015, 2016, 2017 together
= > 19 + 44 + 31 + 43
= > 137 lakhs
The total manufacturing of company D in the year 2012, 2014, 2016, 2017 together
= > 31 + 25 + 28 + 17
= > 101 lakhs
Required ratio = 137: 101
9) Answer: b)
The average number of mobile phones manufactured by all the given companies in the year 2014
= > (36 + 24 + 18 + 25)/4
= > (103/4) lakhs
The average number of mobile phones manufactured by all the given companies in the year 2017
= > (43 + 37 + 27 + 17)/4
= > (124/4) lakhs
Required % = [(103/4)/ (124/4)]*100 = 83.06 % = 83 %
10) Answer: c)
The total number of mobile phones manufactured by all the given companies in the year 2012 and 2013
= > 35 + 27 + 22 + 31 + 19 + 26 + 29 + 42 = 231 lakhs
The total number of mobile phones manufactured by all the given companies in the year 2015 and 2016
= > 44 + 34 + 14 + 24 + 31 + 23 + 20 + 28 = 218 lakhs
Required difference = 231 – 218 = 13 lakhs
