# CWC/FCI Prelims 2019 â€“ Quantitative Aptitude Questions (Day-52)

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.

[WpProQuiz 6081]

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 â‰¥ y

c) If x < y

d) If x â‰¤ y

e) If x = y or the relation cannot be established

1) I) x2 – 17x + 52 = 0

II) 2y2 + 2y â€“ 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 â€“ 18x + 18 = 0

II) y2 â€“ 5y + 6 = 0

5) I) x2 + 12x + 32 = 0

3y2 â€“ 10y + 7 = 0

Directions (Q. 6 â€“ 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

I) x2 – 17x + 52 = 0

(x â€“ 13) (x – 4) = 0

X = 13, 4

II) 2y2 + 2y â€“ 24 = 0

2y2 + 8y â€“ 6y â€“ 24 = 0

2y (y + 4) – 6 (y + 4) = 0

(2y â€“ 6) (y + 4) = 0

Y = 3, -4

X > y

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

Canâ€™t be determined

I) 2x2 – 9x + 4 = 0

2x2 â€“ 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 â‰¤ y

I) 4x2 â€“ 18x + 18 = 0

4x2 â€“ 12x â€“ 6x + 18 = 0

4x (x â€“ 3) â€“ 6 (x â€“ 3) = 0

(4x â€“ 6) (x â€“ 3) = 0

X = 1.5, 3

II) y2 â€“ 5y + 6 = 0

(y â€“ 3) (y â€“ 2) = 0

Y = 3, 2

Canâ€™t be determined

I) x2 + 12x + 32 = 0

(x + 4)(x + 8) = 0

X = -4, -8

II) 3y2 â€“ 10y + 7 = 0

3y2 – 3y â€“ 7y + 7 = 0

3y (y â€“ 1) â€“ 7 (y â€“ 1) = 0

(3y â€“ 7) (y – 1) = 0

Y = 7/3, 1 = 2.33, 1

X < y

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

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

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 %

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) â€“ (302000/5) = 63400 â€“ 60400 = 3000

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 â€“ 149000)/149000]*100 = (2000/149000)*100

= > 1.34 % more

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