Dear Aspirants, Our IBPS Guide team is providing new series of Quantitative Aptitude Questions for LIC AAO/SBI PO 2019 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.
[WpProQuiz 6104]
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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) 8x – 4y = 3x – 2y + 16
II) 3x + 5y + 9 = 0
2) I) x2 – x – 72 = 0
II) y2 – 3y – 88 = 0
3) I) 2x2 – 38x + 156 = 0
II) 4y2 – 34y + 66 = 0
4) I) x2 – 16x – 57 = 0
II) y2 + 20y + 75 = 0
5) I) x2 = 784
II) y2 + 15y + 56 = 0
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following table shows the total number of employees in 5 departments in a certain company and the % of males and the ratio of married females and unmarried females among them.
| Department | Total employees | % of males | Married females : Unmarried females |
| P | 1250 | 52 % | 5: 1 |
| Q | 800 | 68 % | 5: 3 |
| R | 650 | 72 % | 1: 1 |
| S | 1000 | 56 % | 3: 5 |
| T | 950 | 44 % | 3: 1 |
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6) Total number of female employees working in department P and S together is approximately what percentage of total number of male employees working in department Q and T together?
a) 110 %
b) 85 %
c) 100 %
d) 125 %
e) 70 %
7) Find the difference between the total number of unmarried females in department R to that of S?
a) 156
b) 132
c) 148
d) 184
e) None of these
8) Find the average number of male employees working in department P, R and T together?
a) 748
b) 512
c) 624
d) 706
e) None of these
9) Find the ratio between the total number of married females working in department Q and S together to that of total number of employees working in P?
a) 13: 50
b) 27: 43
c) 15: 34
d) 25: 56
e) None of these
10) If the ratio of married and unmarried males in department Q is 3: 1, then find the difference between the married and unmarried males in department Q?
a) 324
b) 356
c) 272
d) 228
e) None of these
Answers :
1) Answer: a)
I) 8x – 4y = 3x – 2y + 16
8x – 3x – 4y + 2y = 16
5x – 2y = 16 –à (1)
II) 3x + 5y + 9 = 0
3x + 5y = -9 –Ã (2)
By solving the equation (1) and (2), we get,
x = 2, y = -3
x > y
2) Answer: e)
I) x2 – x – 72 = 0
(x – 9) (x + 8) = 0
x = 9, -8
II) y2 – 3y – 88 = 0
(y – 11) (y + 8) = 0
y = 11, -8
Can’t be determined
3) Answer: a)
I) 2x2 – 38x + 156 = 0
2x2 – 12x – 26x + 156 = 0
2x (x – 6) – 26 (x – 6) = 0
(2x – 26) (x – 6) = 0
x = 13, 6
II) 4y2 – 34y + 66 = 0
4y2 – 12y – 22y + 66 = 0
4y (y – 3) – 22 (y – 3) = 0
(4y – 22) (y – 3) = 0
y = 5.5, 3
x > y
4) Answer: a)
I) x2 – 16x – 57 = 0
(x – 19) (x + 3) = 0
x = 19, -3
II) y2 + 20y + 75 = 0
(y + 15) (y + 5) = 0
y = -15, -5
x > y
5) Answer: e)
I) x2 = 784
x = 28, -28
II) y2 + 15y + 56 = 0
(y + 8) (y + 7) = 0
y = -8, -7
Can’t be determined
6) Answer: a)
Total number of female employees working in department P and S together
= > 1250*(48/100) + 1000*(44/100)
= > 600 + 440 = 1040
Total number of male employees working in department Q and T together
= > 800*(68/100) + 950*(44/100)
= > 544 + 418 = 962
Required % = (1040/962)*100 = 108 % = 110 %
7) Answer: d)
The total number of unmarried females in department R
= > 650*(28/100)*(1/2) = 91
The total number of unmarried females in department S
= > 1000*(44/100)*(5/8) = 275
Required difference = 275 – 91 = 184
8) Answer: b)
The total number of male employees working in department P, R and T together
= > 1250*(52/100) + 650*(72/100) + 950*(44/100)
= > 650 + 468 + 418 = 1536
Required average = 1536/3 = 512
9) Answer: a)
The total number of married females working in department Q and S together
= > 800*(32/100)*(5/8) + 1000*(44/100)*(3/8)
= > 160 + 165 = 325
The total number of employees working in P = 1250
Required ratio = 325: 1250 = 13: 50
10) Answer: c)
Total number of male employees in department Q = 800*(68/100) = 544
Required answer = 544*(2/4) = 272
