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) 2x2 + 15x + 27 = 0
II) 3y2 + 13y + 14 = 0
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2)
I) x = 1764 ÷ 9 + 13 % of 500 – 162
II) y2 – 2y – 63 = 0
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3)
I) 7x – 2y – 22 = 0
II) 4x = 3y + 7
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4)
I) (x + 4)/(x2 – 9) = 8/7
II) 5*(3y + 6) = 105
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5)
I) 5x2 – 6x – 11 = 0
II) 2y2 – 11y + 15 = 0
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions.
The following bar graph shows the prices (Per tiles) of four types of tiles P, Q, R and S in different years in a certain company.
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6) Find the total amount of 20 tiles of type P, 25 tiles of type R and 15 tiles of type S in the year 2016?
a) Rs. 18600
b) Rs. 16500
c) Rs. 15700
d) Rs. 17300
e) None of these
7) Find the ratio between the price of all the given types of tiles in the year 2013 to that of 2017?
a) 123: 131
b) 89: 117
c) 74: 109
d) 218: 343
e) None of these
8) Find the average price of type S tiles of all the given years together?
a) Rs. 270
b) Rs. 345
c) Rs. 315
d) Rs. 290
e) None of these
9) Find the difference between the prices of all the given types of tiles in the year 2012 to that of 2015?
a) Rs. 250
b) Rs. 90
c) Rs. 330
d) Rs. 120
e) None of these
10) The prices of P and Q type tiles in the year 2012, 2013 and 2014 together is approximately what percentage of the prices of R and S type tiles in the year 2015, 2016 and 2017 together?
a) 65 %
b) 42 %
c) 84 %
d) 95 %
e) 76 %
Answers :
Direction (1-5) :
1) Answer: c)
I) 2x2 + 15x + 27 = 0
2x2 + 6x + 9x + 27 = 0
2x (x + 3) + 9 (x + 3) = 0
(2x + 9) (x + 3) = 0
X = -9/2, -3 = -4.5, -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 = -2.33, -2
X < y
2) Answer: e)
I) x = 1764 ÷ 9 + 13 % of 500 – 162
X = (1764/9) + (13/100)*500 – 256
X = 196 + 65 – 256 = 5
II) y2 – 2y – 63 = 0
(y – 9) (y + 7) = 0
Y = 9, -7
Can’t be determined
3) Answer: a)
I) 7x – 2y – 22 = 0
7x – 2y = 22 —-> (1)
II) 4x = 3y + 7
4x – 3y = 7 —-> (2)
By solving the equation (1) and (2), we get,
X = 4, y = 3
X > y
4) Answer: c)
I) (x + 4)/(x2 – 9) = 8/7
7x + 28 = 8x2 – 72
8x2 – 7x – 100 = 0
8x2 – 32x + 25x – 100 = 0
8x (x – 4) + 25 (x – 4) = 0
(8x + 25) (x – 4) = 0
X = -25/8, 4 = -3.125, 4
II) 5*(3y + 6) = 105
15y + 30 = 105
15y = 75
Y = 5
X < y
5) Answer: c)
I) 5x2 – 6x – 11 = 0
5x2 + 5x – 11x – 11 = 0
5x (x + 1) – 11 (x + 1) = 0
(5x – 11) (x + 1) = 0
X = 11/5, -1 = 2.2, -1
II) 2y2 – 11y + 15 = 0
2y2 – 6y – 5y + 15 = 0
2y (y – 3) – 5 (y – 3) = 0
(2y – 5) (y – 3) = 0
Y = 5/2, 3 = 2.5, 3
X < y
Direction (6-10) :
6) Answer: c)
The total amount of 20 tiles of type P, 25 tiles of type R and 15 tiles of type S in the year 2016
= > (20*200) + (25*270) + (15*330)
= > 4000 + 6750 + 4950 = Rs. 15700
7) Answer: a)
The price of all the given types of tiles in the year 2013
= > 260 + 290 + 360 + 320 = 1230
The price of all the given types of tiles in the year 2017
= > 230 + 310 + 370 + 400 = 1310
Required ratio = 1230: 1310 = 123: 131
8) Answer: b)
The average price of type S tiles of all the given years together
= > (350 + 320 + 330 + 340 + 330 + 400)/6
= > 2070/6 = Rs. 345
9) Answer: d)
The prices of all the given types of tiles in the year 2012
= > 240 + 280 + 320 + 350 = Rs. 1190
The prices of all the given types of tiles in the year 2015
= > 270 + 320 + 380 + 340 = Rs. 1310
Required difference = 1310 – 1190 = Rs. 120
10) Answer: e)
The prices of P and Q type tiles in the year 2012, 2013 and 2014 together
= > 240 + 280 + 260 + 290 + 220 + 290 = Rs. 1580
The prices of R and S type tiles in the year 2015, 2016 and 2017 together
= > 380 + 340 + 270 + 330 + 370 + 400 = Rs. 2090
Required % = (1580/2090)*100 = 75.598 % = 76 %
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