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.
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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 – 16x + 55 = 0
II) 2y2 – y – 36 = 0
2) I) 3x2 + 4x – 64 = 0
II) 2y2 – 21y + 52 = 0
3) I) x2 + 15x + 56 = 0
II) y2 + 13y + 42 = 0
4) I) x2 + x – 132 = 0Â Â Â Â Â Â
II) y2 – 13y – 48 = 0
5) I) x2 – 12x + 36 = 0Â Â Â
II) 5y2 + 4y – 12 = 0
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions.
The following table shows the total number of people (Male + Female) went for 5 different hotels and ate some veg and non-veg items in a certain week. The ratio of veg to that of non-veg items also given here.
| Hotels | Total people | Veg : Non-veg |
| A | 1800 | 5 : 4 |
| B | 2500 | 2 : 3 |
| C | 3600 | 4 : 5 |
| D | 2000 | 3 : 2 |
| E | 2800 | 3 : 4 |
6) Find the difference between the total number of male eating veg to that of total number of female eating non-veg from hotel A, if the percentage of total number of female eating veg and that of male eating non-veg from hotel A is 52 % and 45 %?
a) 40
b) 60
c) 80
d) 20
e) None of these
7) Find the ratio between the total number of people eating Veg from hotel B and D together to that of total number of people eating non-veg from hotel C and E together?
a) 23: 29
b) 19: 25
c) 34: 47
d) 11: 18
e) None of these
8) Find the total number of people eating non-veg from hotel B, C and D together?
a) 3800
b) 4300
c) 4700
d) 3500
e) None of these
9) Total number of people eating non-veg from hotel E is what percentage of total number of people eating veg from hotel A?
a) 125 %
b) 140 %
c) 160 %
d) 175 %
e) None of these
10) Find the difference between the average number of people went for hotel A and C together to that of the average number of people went for hotel B and D together?
a) 600
b) 300
c) 750
d) 450
e) None of these
Answers:
1) Answer: a)
I) x2 – 16x + 55 = 0
(x – 11) (x – 5) = 0
x = 11, 5
II) 2y2 – y – 36 = 0
2y2 + 8y – 9y – 36 = 0
2y (y + 4) – 9 (y + 4) = 0
(2y – 9) (y + 4) = 0
y = 4.5, -4
x > y       Â
2) Answer: d)
I) 3x2 + 4x – 64 = 0
3x2 – 12x + 16x – 64 = 0
3x(x – 4) + 16(x – 4) = 0
(3x + 16) (x – 4) = 0
x = -16/3, 4 = -5.33, 4
II) 2y2 – 21y + 52 = 0
2y2 – 8y – 13y + 52 = 0
2y (y – 4) – 13 (y – 4) = 0
(2y – 13) (y – 4) = 0
y = 13/2, 4 = 6.5, 4
x ≤ y
3) Answer: d)
I) x2 + 15x + 56 = 0
(x + 8) (x + 7) = 0
x = -8, -7
II) y2 + 13y + 42 = 0
(y + 6) (y + 7) = 0
y = -6, -7
x ≤ y
4) Answer: e)
I) x2 + x – 132 = 0
(x – 11) (x + 12) = 0
x = 11, -12
II) y2 – 13y – 48 = 0
(y + 3) (y – 16) = 0
y = -3, 16
Can’t be determined
5) Answer: a)
I) x2 – 12x + 36 = 0
(x – 6) (x – 6) = 0
x = 6, 6
II) 5y2 + 4y – 12 = 0
5y2 + 10y – 6y – 12 = 0
5y (y + 2) – 6(y + 2) = 0
(5y – 6) (y + 2) = 0
y = -2, 6/5
x > y
6) Answer: a)
The total number of male eating veg from hotel A
= > 1800*(5/9)*(48/100) = 480
The total number of female eating non-veg from hotel A
= > 1800*(4/9)*(55/100) = 440
Required difference = 480 – 440 = 40
7) Answer: d)
The total number of people eating Veg from hotel B and D together
= > 2500*(2/5) + 2000*(3/5)
= > 1000 + 1200 = 2200
The total number of people eating non-veg from hotel C and E together
= > 3600*(5/9) + 2800*(4/7)
= > 2000 + 1600 = 3600
Required ratio = 2200: 3600 = 11: 18
8) Answer: b)
The total number of people eating non-veg from hotel B, C and D together
= > [2500*(3/5) + 3600*(5/9) + 2000*(2/5)]
= > [1500 + 2000 + 800] = 4300
9) Answer: c)
Total number of people eating non-veg from hotel E
= > 2800*(4/7) = 1600
Total number of people eating Veg from hotel A
= > 1800*(5/9) = 1000
Required % = (1600/1000)*100 = 160 %
10) Answer: d)
The average number of people went for hotel A and C together
= > (1800 + 3600)/2 = 2700
The average number of people went for hotel B and D together
= > (2500 + 2000)/2 = 2250
Required difference = 2700 – 2250 = 450
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