Dear Readers, Exam Race for the Year 2019 has already started, CWC/ FCI will be the most expected exam among the aspirants. Preparation and performance both requisite to clear CWC/FCI Exam. To enrich your preparation here we are providing a new series of Practice Questions on CWC/ FCI Quantitative Aptitude Section. Aspirants, practice these questions on a regular basis to improve your score in the aptitude section. Start your effective preparation from the right beginning to get success in the upcoming CWC/FCI Exam.
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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 – 17x + 52 = 0
II) 2y2 + 2y – 24 = 0
2) I) 7x2 + 37x + 36 = 0
II) 4y2 + 41y + 72 = 0
3) I) 2x2 – 9x + 4 = 0
II) y2 – 14y + 40 = 0
4) I) 4x2 – 18x + 18 = 0
II) y2 – 5y + 6 = 0
5) I) x2 + 12x + 32 = 0
3y2 – 10y + 7 = 0
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
Following table shows the no of items (In thousands) produced by 3 different companies and the ratio of sold to unsold items among them in five different years.
| Year | M | N | O | |||
| Total | S: Us | Total | S: Us | Total | S: Us | |
| 2013 | 45 | 5 : 4 | 55 | 3 : 2 | 40 | 2 : 3 |
| 2014 | 72 | 3 : 1 | 64 | 3 : 1 | 48 | 1 : 3 |
| 2015 | 66 | 6 : 5 | 81 | 4 : 5 | 85 | 12 : 5 |
| 2016 | 48 | 3 : 1 | 49 | 4 : 3 | 75 | 13 : 2 |
| 2017 | 85 | 8 : 9 | 68 | 13 : 4 | 54 | 1 : 1 |
6) Find the total no of items sold by Company M in all the given years together?
a) 212500
b) 191000
c) 175600
d) 234000
e) None of these
7) Find the ratio between the total no of items which remain unsold by Company N in the year 2014, 2016 and 2017 together to that of total no of items sold by Company O in the year 2013 and 2015 together?
a) 28: 65
b) 37: 68
c) 53: 76
d) 62: 85
e) None of these
8) Total no of items which remain unsold by Company M in the year 2015 and 2017 together is approximately what percentage of total no of items sold by Company N in the year 2014 and 2016 together?
a) 118 %
b) 106 %
c) 99 %
d) 87 %
e) 90 %
9) Find the difference between the average no. of items produced by company N in all the given years to that of the average no. of items produced by company O in all the given years?
a) 3000
b) 3500
c) 4200
d) 4700
e) None of these
10) Total no of items produced by Company M in the year 2015 and 2017 is what percentage of more/less than the total no of items produced by Company N in the same year?
a) 3.45 %
b) 5.78 %
c) 7.23 %
d) 1.34 %
e) None of these
Answers:
1) Answer: a)
I) x2 – 17x + 52 = 0
(x – 13) (x – 4) = 0
X = 13, 4
II) 2y2 + 2y – 24 = 0
2y2 + 8y – 6y – 24 = 0
2y (y + 4) – 6 (y + 4) = 0
(2y – 6) (y + 4) = 0
Y = 3, -4
X > y
2) Answer: e)
I) 7x2 + 37x + 36 = 0
7x2 + 28x + 9x + 36 = 0
7x(x + 4) + 9(x + 4) = 0
(7x + 9) (x + 4) = 0
X = -9/7, -4 = -1.28, -4
II) 4y2 + 41y + 72 = 0
4y2 + 32y + 9y + 72 = 0
4y(y + 8) + 9(y + 8) = 0
(4y + 9) (y + 8) = 0
Y = -9/4, -8 = -2.25, -8
Can’t be determined
3) Answer: d)
I) 2x2 – 9x + 4 = 0
2x2 – 8x – x + 4 = 0
2x (x – 4) – 1 (x – 4) = 0
(x – 4) (2x – 1) = 0
x = 4, 1/2
II) y2 – 14y + 40 = 0
(y – 10) (y – 4) = 0
y = 10, 4
X ≤ y
4) Answer: e)
I) 4x2 – 18x + 18 = 0
4x2 – 12x – 6x + 18 = 0
4x (x – 3) – 6 (x – 3) = 0
(4x – 6) (x – 3) = 0
X = 1.5, 3
II) y2 – 5y + 6 = 0
(y – 3) (y – 2) = 0
Y = 3, 2
Can’t be determined
5) Answer: c)
I) x2 + 12x + 32 = 0
(x + 4)(x + 8) = 0
X = -4, -8
II) 3y2 – 10y + 7 = 0
3y2 – 3y – 7y + 7 = 0
3y (y – 1) – 7 (y – 1) = 0
(3y – 7) (y – 1) = 0
Y = 7/3, 1 = 2.33, 1
X < y
6) Answer: b)
The total no of items sold by Company M
= > 45*(5/9) + 72*(3/4) + 66*(6/11) + 48*(3/4) + 85*(8/17)
= > (25 + 54 + 36 + 36 + 40) thousand
= > 191000
7) Answer: d)
The total no of items which remain unsold by Company N in the year 2014, 2016 and 2017 together
= > [64*(1/4) + 49*(3/7) + 68*(4/17)] thousand
= > (16 + 21 + 16) thousand
= > 53000
The total no of items sold by Company O in the year 2013, 2015 together
= > [40*(2/5) + 85*(12/17)] thousand
= > (16 + 60) thousand
= > 76000
Required ratio = 53000: 76000 = 53: 76
8) Answer: c)
Total no of items which remain unsold by Company M in the year 2015 and 2017 together
= > [66*(5/11) + 85*(9/17)] thousand
= > (30 + 45) thousand
= > 75000
Total no of items sold by Company N in the year 2014 and 2016 together
= > 64*(3/4) + 49*(4/7)] thousand
= > (48 + 28) thousand
= > 76000
Required % = (75000/76000)*100 = 98.68 % = 99 %
9) Answer: a)
Total no. of items produced by company N in all the given years
= > (55 + 64 + 81 + 49 + 68) thousand
= > 317000
Total no. of items produced by company O in all the given years
= > (40 + 48 + 85 + 75 + 54) thousand
= > 302000
Required difference = (317000/5) – (302000/5) = 63400 – 60400 = 3000
10) Answer: d)
Total no of items produced by Company M in the year 2015 and 2017
= > (66 + 85) thousand = 151000
Total no of items produced by Company N in the year 2015 and 2017
= > (81 + 68) thousand = 149000
Required % = [(151000 – 149000)/149000]*100 = (2000/149000)*100
= > 1.34 % more
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