# CWC/FCI Prelims 2019 – CWC/FCI Quantitative Aptitude Questions (Day-46)

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]

## 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.

 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

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

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

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

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

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

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

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

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

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 %

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

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 