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 6017]
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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 – 3x – 28 = 0
II) y2 – y – 72 = 0
2)
I) 2x2 – 6x – 36 = 0
II) 3y2 + 24y + 45 = 0
3)
I) 4x2 – 2x – 12 = 0
II) y2 – 9y + 20 = 0
4)
I) 9x + 8y = 4 + 5x + 13y
II) 5x – 4y = 2 + 2x
5)
I) 2x2 + 13x + 20 = 0
II) 3y2 – y – 10 = 0
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total expenses of five different companies and the table shows the profit % of those companies also given.
Note:
Profit earned = Sales turn over – Expenses
Profit % = (Profit earned/Expenses)*100
6) Find the average sales turnover of company P and T together?
a) Rs. 34500
b) Rs. 38800
c) Rs. 32300
d) Rs. 41600
e) None of these
7) Find the difference between the profit earned by company Q to that of company S?
a) Rs. 6300
b) Rs. 6700
c) Rs. 4200
d) Rs. 5800
e) None of these
8) Find the ratio between the expenses of company P and R together to that of the expenses of company Q and T together?
a) 27: 52
b) 34: 55
c) 15: 34
d) 53: 76
e) None of these
9) The profit earned by company P is approximately what percentage more/less than the profit earned by company R?
a) 10 % less
b) 25 % more
c) 25 % less
d) 10 % more
e) 15 % more
10) Find the difference between the sales turnover of company Q and R together to that of the expenses of company S and T together?
a) Rs. 7450
b) Rs. 8600
c) Rs. 8050
d) Rs. 9500
e) None of these
Answers:
1) Answer: e)
I) x2 – 3x – 28 = 0
(x + 4) (x – 7) = 0
X = -4, 7
II) y2 – y – 72 = 0
(y + 8) (y – 9) = 0
Y = -8, 9
Can’t be determined
2) Answer: b)
I) 2x2 – 6x – 36 = 0
2x2 – 12x + 6x – 36 = 0
2x (x – 6) + 6 (x – 6) = 0
(2x + 6) (x – 6) = 0
X = -3, 6
II) 3y2 + 24y + 45 = 0
3y2 + 9y + 15y + 45 = 0
3y (y + 3) + 15 (y + 3) = 0
(3y + 15) (y + 3) = 0
Y = -15/3, -3 = -5, -3
X ≥ y
3) Answer: c)
I) 4x2 – 2x – 12 = 0
4x2 – 8x + 6x – 12 = 0
4x (x – 2) + 6 (x – 2) = 0
(4x + 6) (x – 2) = 0
X = -6/4, 2 = -1.5, 2
II) y2 – 9y + 20 = 0
(y – 4) (y – 5) = 0
Y = 4, 5
X < y
4) Answer: a)
I) 9x + 8y = 4 + 5x + 13y
9x – 5x + 8y – 13y = 4
4x – 5y = 4 —> (1)
II) 5x – 4y = 2 + 2x
5x – 2x – 4y = 2
3x – 4y = 2 –> (2)
By solving (1) and (2), we get,
X = 6, y = 4
X > y
5) Answer: c)
I) 2x2 + 13x + 20 = 0
2x2 + 8x + 5x + 20 = 0
2x(x + 4) + 5(x + 4) = 0
(2x + 5) (x + 4) = 0
X = -5/2, -4 = -2.5, -4
II) 3y2 – y – 10 = 0
3y2 – 6y + 5y – 10 = 0
3y(y – 2) + 5(y – 2) = 0
(3y + 5) (y – 2) = 0
Y = -5/3, 2 = -1.66, 2
X < y
Directions (6-10):
6) Answer: b)
The average sales turnover of company P and T together
= > [28000*(120/100) + 40000*(110/100)]/2
= > (33600 + 44000)/2
= > 77600/2 = Rs. 38800
7) Answer: a)
Profit earned = Sales turn over – Expenses
The profit earned by Company Q
= > Sales turnover of company Q – Expenses of company Q
= > [36000*(130/100)] – 36000
= > 46800 – 36000 = Rs. 10800
The profit earned by Company S
= > Sales turnover of company S – Expenses of company S
= > [30000*(115/100)] – 30000
= > 34500 – 30000 = Rs. 4500
Required difference = 10800 – 4500 = Rs. 6300
8) Answer: d)
The expenses of company P and R together
= > 28000 + 25000 = Rs. 53000
The expenses of company Q and T together
= > 36000 + 40000 = Rs. 76000
Required ratio = 53000: 76000 = 53: 76
9) Answer: a)
The profit earned by company P
= > Sales turnover of company P – Expenses of company P
= > [28000*(120/100)] – 28000
= > 33600 – 28000 = Rs. 5600
The profit earned by company R
= > Sales turnover of company R – Expenses of company R
= > [25000*(125/100)] – 25000
= > 31250 – 25000 = Rs. 6250
Required % = [(6250 – 5600)/6250]*100 = 10.4 % = 10 % less
10) Answer: c)
The sales turnover of company Q and R together
= > [36000*(130/100)] + [25000*(125/100)]
= > 46800 + 31250 = Rs. 78050
The expenses of company S and T together
= > 30000 + 40000 = Rs. 70000
Required difference = 78050 – 70000 = Rs. 8050
