# CWC/FCI Prelims 2019 โ Quantitative Aptitude Questions (Day-05)

Dear Readers, Exam Race for the Year 2019 has already started, To enrich your preparation here we are providing new series of Practice Questions on Quantitative Aptitude โ Section for CWC/FCI Exam. 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.

LIC AAO Prelims โ Quantitative Aptitude Questions (Day-05)

maximum of 10 points

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 โฅ y

c) If x < y

d) If x โค y

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

1)

I) x2 + 142 = 272 โ 49

II) y1/2 โ 272 + 410 = 122

2)

I) โ(x + 4) = โ676 – โ361

II) y3 โ 32568 = 26751

3)

I) x2 + 20x + 99 = 0

II) y2 + 18y + 65 = 0

4)

I) 4x2 โ 2x โ 42 = 0

II) 3y2 โ 7y โ 66 = 0

5)

I) 5x โ 2y = 7

II) 3x + 4y = 25

Directions (Q. 6 โ 10): Study the following information carefully and answer the given questions:

The following bar graph shows the total number of glass doors (In thousands) manufactured by 3 different companies in 6 different years.

6) Find the ratio between the total number of glass doors manufactured by company A in the year 2012, 2014 and 2016 together to that of total number of glass doors manufactured by company C in the year 2013, 2015 and 2017 together?

a) 47: 54

b) 23: 29

c) 5: 13

d) 28: 37

e) None of these

7) If 5 %, 8 % and 10 % of the glass doors of company C in the year 2012, 2014 and 2016 are damaged respectively, then find the sum of the total number of glass doors of company C sold in the year 2012, 2014 and 2016 together (all undamaged doors are sold)?

a) 156280

b) 189520

c) 227850

d) 134040

e) None of these

8) Total number of glass doors manufactured in the year 2012 is approximately what percentage of total number of glass doors manufactured in the year 2015 of all the given companies together?

a) 52 %

b) 67 %

c) 38 %

d) 75 %

e) 86 %

9) Find the difference between the average number of glass doors manufactured by company B to that of company C in all the given years together?

a) 5000

b) 2000

c) 3000

d) 7000

e) None of these

10) Total number of glass doors manufactured by company A in all the given years together is approximately what percentage more/less than the total number of glass doors manufactured in the year 2016 and 2017 together by all the given companies?

a) 32 % more

b) 14 % more

c) 5 % less

d) 32 % less

e) 14 % less

Directions (Q. 1 โ 5):

I) x2 + 142 = 272 โ 49

X2 = 729 โ 49 – 196

X2 = 484

X = 22, -22

II) y1/2 โ 272 + 410 = 122

Y1/2 = 144 + 272 โ 410

Y1/2 = 6

Y = 36

X < y

I) โ(x + 4) = โ676 – โ361

โ(x + 4) = 26 โ 19

(x + 4) = 72

X = 49 โ 4 = 45

II) y3 โ 32568 = 26751

Y3 = 26751 + 32568

Y3 = 59319

Y = โ59319 = 39

X > y

I) x2 + 20x + 99 = 0

(x + 11) (x + 9) = 0

X = -11, -9

II) y2 + 18y + 65 = 0

(y + 13) (y + 5) = 0

Y = -13, -5

Canโt be determined

I) 4x2 โ 2x โ 42 = 0

4x2 + 12x โ 14x โ 42 = 0

4x (x + 3) โ 14 (x + 3) = 0

(4x โ 14) (x + 3) = 0

X = 14/4, -3 = 3.5, -3

II) 3y2 โ 7y โ 66 = 0

3y2 โ 18y + 11y โ 66 = 0

3y (y โ 6) + 11 (y โ 6) = 0

(3y + 11) (y โ 6) = 0

Y = -11/3, 6 = -3.667, 6

Canโt be determined

5x โ 2y = 7 —-> (1)

3x + 4y = 25 —–> (2)

By solving the equation (1) and (2), we get,

X = 3, y = 4

X < y

Directions (Q. 6 โ 10):

The total number of glass doors manufactured by company A in the year 2012, 2014 and 2016 together

= > 45 + 54 + 42 = 141 thousands = 141000

The total number of glass doors manufactured by company C in the year 2013, 2015 and 2017 together

= > 51 + 44 + 67 = 162 thousands = 162000

Required ratio = 141000: 162000 = 141: 162 = 47: 54

The total number of glass doors of company C sold in the year 2012, 2014 and 2016 together

= > 28000*(95/100) + 62000*(92/100) + 56000*(90/100)

= > 26600 + 57040 + 50400 = 134040

Total number of glass doors manufactured in the year 2012 of all the given companies together

= > 45 + 36 + 28 = 109 thousand = 109000

Total number of glass doors manufactured in the year 2015 of all the given companies together

= > 66 + 52 + 44 = 162 thousand = 162000

Required % = (109000/162000)*100 = 67.28 % = 67 %

The average number of glass doors manufactured by company B in all the given years together

= > (36 + 44 + 30 + 52 + 56 + 72)/6 = (290/6) thousands

The average number of glass doors manufactured by company C in all the given years together

= > (28 + 51 + 62 + 44 + 56 + 67)/6 = (308/6) thousands

Required difference = (308/6) โ (290/6) = 18/6 = 3 thousands = 3000