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) 3x2 – 10x – 77 = 0
II) 4y2 + 2y – 56 = 0
2)
I) 3x – 4y = 4
II) 2x + 5y = 18
3)
I) x2 – 52 = 168 ÷ 3
II) y2 – 7x + 12 = 0
4)
I) 2x2 + 10x + 12 = 0
II) 3y2 + 11y + 10 = 0
5)
I) x2 – 6x – 27 = 0
II) y2 – 7y – 33 = 0
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of different types of brand watches sold in 3 different months in a certain city.
6) Find the ratio between the total number of Fossil watches to that of Casio watches sold in all the given months together?
a) 12: 7
b) 37: 33
c) 53: 49
d) 115: 107
e) None of these
7) Find the difference between the average number of watches sold in the month of Oct to that of Dec?
a) 20
b) 30
c) 50
d) 40
e) None of these
8) Find the average number of watches sold in the month of Nov?
a) 136
b) 128
c) 102
d) 114
e) None of these
9) Total number of Fastrack watches sold in all the given months together is what percentage of total number of Rolex watches sold in all the given months together?
a) 88.25 %
b) 97.5 %
c) 92.25 %
d) 76.75 %
e) None of these
10) Total number of watches sold in the month of Dec is approximately what percentage less than total number of Fossil and Rolex watches sold in all the given months together?
a) 15 % more
b) 15 % less
c) 6 % less
d) 6 % more
e) 22 % less
Answers:
1) Answer: e)
I) 3x2 – 10x – 77 = 0
3x2 – 21x + 11x – 77 = 0
3x (x – 7) + 11 (x – 7) = 0
(3x + 11) (x – 7) = 0
X = -11/3, 7 = -3.667, 7
II) 4y2 + 2y – 56 = 0
4y2 + 16y – 14y – 56 = 0
4y (y + 4) – 14 (y + 4) = 0
(4y – 14) (y + 4) = 0
Y = 14/4, -4 = 3.5, -4
Can’t be determined
2) Answer: a)
3x – 4y = 4 —> (1)
2x + 5y = 18 —> (2)
By solving the equation (1) and (2), we get,
X = 4, y = 2
X > y
3) Answer: e)
I) x2 – 52 = 168 ÷ 3
(x2 – 25) = (168/3)
x2 = 56 + 25 = 81
x = 9, -9
II) y2 – 7x + 12 = 0
(y – 4) (y – 3) = 0
Y = 4, 3
Can’t be determined
4) Answer: d)
I) 2x2 + 10x + 12 = 0
2x2 + 4x + 6x + 12 = 0
2x (x + 2) + 6(x + 2) = 0
(2x + 6) (x + 2) = 0
X = -6/2, -2 = -3, -2
II) 3y2 + 11y + 10 = 0
3y2 + 6y + 5y + 10 = 0
3y (y + 2) + 5 (y + 2) = 0
(3y + 5) (y + 2) = 0
Y = -5/3, -2 = -1.667, -2
X ≤ y
5) Answer: e)
I) x2 – 6x – 27 = 0
(x – 9) (x + 3) = 0
X = 9, -3
II) y2 – 7y – 33 = 0
(y – 11) (y + 3) = 0
Y = 11, -3
Can’t be determined
Directions (6-10):
6) Answer: b)
The total number of Fossil watches sold in all the given months together
= > 150 + 100 + 120 = 370
The total number of Casio watches sold in all the given months together
= > 80 + 110 + 140 = 330
Required ratio = 370: 330 = 37: 33
7) Answer: a)
The average number of watches sold in the month of Oct
= > (150 + 80 + 130 + 160 + 100)/5 = 620/5 = 124
The average number of watches sold in the month of Dec
= > (120 + 140 + 110 + 170 + 180)/5 = 720/5 = 144
Required difference = 144 – 124 = 20
8) Answer: d)
The average number of watches sold in the month of Nov
= > (100 + 110 + 150 + 90 + 120)/5
= > 570/5 = 114
9) Answer: b)
Total number of Fastrack watches sold in all the given months together
= > 130 + 150 + 110 = 390
Total number of Rolex watches sold in all the given months together
= > 100 + 120 + 180 = 400
Required % = (390/400)*100 = 97.5 %
10) Answer: c)
Total number of watches sold in the month of Dec
= > 120 + 140 + 110 + 170 + 180 = 720
Total number of Fossil and Rolex watches sold in all the given months together
= > 150 + 100 + 120 + 100 + 120 + 180 = 770
Required % = [(770 – 720)/770]*100 = 6.49 % = 6 % less
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