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 – 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.
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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 + 142 = 272 – 49
II) y1/2 – 272 + 410 = 122
2)
I) √(x + 4) = √676 – √361
II) y3 – 32568 = 26751
3)
I) x2 + 20x + 99 = 0
II) y2 + 18y + 65 = 0
4)
I) 4x2 – 2x – 42 = 0
II) 3y2 – 7y – 66 = 0
5)
I) 5x – 2y = 7
II) 3x + 4y = 25
Directions (Q. 6 – 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
Answers:
Directions (Q. 1 – 5):
1) Answer: c)
I) x2 + 142 = 272 – 49
X2 = 729 – 49 – 196
X2 = 484
X = 22, -22
II) y1/2 – 272 + 410 = 122
Y1/2 = 144 + 272 – 410
Y1/2 = 6
Y = 36
X < y
2) Answer: a)
I) √(x + 4) = √676 – √361
√(x + 4) = 26 – 19
(x + 4) = 72
X = 49 – 4 = 45
II) y3 – 32568 = 26751
Y3 = 26751 + 32568
Y3 = 59319
Y = ∛59319 = 39
X > y
3) Answer: e)
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
Can’t be determined
4) Answer: e)
I) 4x2 – 2x – 42 = 0
4x2 + 12x – 14x – 42 = 0
4x (x + 3) – 14 (x + 3) = 0
(4x – 14) (x + 3) = 0
X = 14/4, -3 = 3.5, -3
II) 3y2 – 7y – 66 = 0
3y2 – 18y + 11y – 66 = 0
3y (y – 6) + 11 (y – 6) = 0
(3y + 11) (y – 6) = 0
Y = -11/3, 6 = -3.667, 6
Can’t be determined
5) Answer: c)
5x – 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 – 10):
6) Answer: a)
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
7) Answer: d)
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
8) Answer: b)
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 %
9) Answer: c)
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) – (290/6) = 18/6 = 3 thousands = 3000
10) Answer: e)
Total number of glass doors manufactured by company A in all the given years together
= > 45 + 38 + 54 + 66 + 42 + 60 = 305 thousands = 305000
Total number of glass doors manufactured in the year 2016 and 2017 together by all the given companies
= > 42 + 56 + 56 + 60 + 72 + 67 = 353 thousands = 353000
Required % = [(353000 – 305000)/353000]*100 = 13.597 % = 14 % less
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