Dear Readers, Exam Race for the Year 2019 has already started, 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 aptitude section. Start your effective preparation from the right beginning to get success in upcoming CWC/FCI Exam.
[WpProQuiz 5992]Click Here to Take FCI Prelims Mock Test
Click Here to Take CWCÂ Prelims Mock Test
CWC/ FCI Quantitative Aptitude – Day 46
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) 7x – 5y = 4x – 3y
II) 8x – 7y + 1 = 3x – 4y
2) I) x2 + 24x + 128 = 0
II) y2 + 23y + 132 = 0
3) I) x2 + 14x + 48 = 0
II) y2 – 6y – 55 = 0
4) I) 3x2 + 14x + 15 = 0
II) 3y2 – 13y + 14 = 0
5) I) x2 – x – 132 = 0
II) y2 – 11y + 30 = 0
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following table shows the total number of projects done by 5 different companies over the years.
| Â | P | Q | R | S | T |
| 2013 | 75 | 60 | 90 | 55 | 40 |
| 2014 | 80 | 70 | 105 | 70 | 60 |
| 2015 | 95 | 85 | 95 | 65 | 75 |
| 2016 | 60 | 75 | 100 | 75 | 80 |
| 2017 | 90 | 80 | 85 | 90 | 95 |
Â
6) Find the difference between the total number of projects done by company P to that of company R in all the given years together?
a) 90
b) 75
c) 80
d) 95
e) None of these
7) Find the ratio between the total number of projects done by all the given companies in the year 2013 to that of 2015?
a) 15 : 28
b) 58 : 67
c) 42 : 79
d) 64 : 83
e) None of these
8) Total number of projects done by company Q is approximately what percentage of total number of projects done by company S in all the given years together?
a) 104 %
b) 125 %
c) 142 %
d) 86 %
e) 77 %
9) Find the average number of projects done by all the given companies together in the year 2014?
a) 72
b) 68
c) 77
d) 85
e) None of these
10) Total number of projects done by company T in all the given years together is approximately what percentage more/less than the total number of projects done by all the given companies in the year 2017?
a) 10 % more
b) 20 % less
c) 10 % less
d) 20 % more
e) 25 % less
Answers :
1) Answer: a)
I) 7x – 5y = 4x – 3y
7x – 4x – 5y + 3y = 0
3x – 2y = 0 –à (1)
II) 8x – 7y + 1 = 3x – 4y
8x – 3x – 7y + 4y = -1
5x – 3y = -1 –à (2)
By solving the equation (1) and (2), we get,
x = – 2, y = -3
X > y
2) Answer: e)
I) x2 + 24x + 128 = 0
(x + 16) (x + 8) = 0
X = -16, -8
II) y2 + 23y + 132 = 0
(y + 12) (y + 11) = 0
Y = -12, -11
Can’t be determined
3) Answer: c)
I) x2 + 14x + 48 = 0
(x + 6) (x + 8) = 0
X = -6, -8
II) y2 – 6y – 55 = 0
(y – 11) (y + 5) = 0
Y = 11, -5
x < y
4) Answer: c)
I) 3x2 + 14x +15 = 0
3x2 + 9x + 5x + 15 = 0
3x (x + 3) + 5 (x + 3) = 0
(3x + 5) (x + 3) = 0
x= -5/3, -3
II) 3y2 – 13y + 14 = 0
3y2 – 6y – 7y +14 = 0
3y (y – 2) -7 (y – 2) = 0
(3y – 7) (y – 2) = 0
y= 7/3, 2
x < y
5) Answer: e)
I) x2 – x – 132 = 0
(x – 12) (x + 11) = 0
X = 12, -11
II) y2 – 11y + 30 = 0
(y – 5) (y – 6) = 0
Y = 5, 6
Can’t be determined
6) Answer: b)
The total number of projects done by company P in all the given years together
= > 75 + 80 + 95 + 60 + 90 = 400
The total number of projects done by company R in all the given years together
= > 90 + 105 + 95 + 100 + 85 = 475
Required difference = 475 – 400 = 75
7) Answer: d)
The total number of projects done by all the given companies in the year 2013
= > 75 + 60 + 90 + 55 + 40 = 320
The total number of projects done by all the given companies in the year 2015
= > 95 + 85 + 95 + 65 + 75 = 415
Required ratio = 320 : 415 = 64 : 83
8) Answer: a)
Total number of projects done by company Q in all the given years together
= > 60 + 70 + 85 + 75 + 80 = 370
Total number of projects done by company S in all the given years together
= > 55 + 70 + 65 + 75 + 90 = 355
Required % = (370/355)*100 = 104 %
9) Answer: c)
The average number of projects done by all the given companies together in the year 2014
= > (80 + 70 + 105 + 70 + 60)/5
= > 385/5 = 77
10) Answer: b)
Total number of projects done by company T in all the given years together
= > 40 + 60 + 75 + 80 + 95 = 350
Total number of projects done by all the given companies in the year 2017
= > 90 + 80 + 85 + 90 + 95 = 440
Required % = [(440 – 350)/440]*100 = 20.45 % = 20 % less
