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.
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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 + 25x – 116 = 0
II) y2 – 24x + 128 = 0
2)
I) x2 + 53 = 150 % of 78
II) y = ∛512
3)
I) 2x2 – 6x – 56 = 0
II) 3y2 – 4y – 32 = 0
4)
I) 3x2 + 4x – 64 = 0
II) 2y2 – 21y + 52 = 0
5)
I) x4 = 625
II) y5 = 243
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following table shows the monthly expenditure (In thousands) of 5 persons on Rent, Food, Clothes, Travelling and Children’s education.
6) Total monthly expenditure on food, clothes and Children’s education of people A and C together is approximately what percentage of total monthly expenditure on Rent and Travelling of people B and D together?
a) 156 %
b) 163 %
c) 188 %
d) 174 %
e) 132 %
7) Find the ratio between the monthly expenditure on clothes and Travelling of people B and E together to that of the monthly expenditure on Food and Children’s education of people A and D together?
a) 33: 83
b) 24: 67
c) 15: 43
d) 45: 97
e) None of these
8) Find the difference between the monthly expenditure on Rent to that of children’s education for all the given peoples together?
a) 1200
b) 1500
c) 900
d) 700
e) None of these
9) Total monthly expenditure of A and B together is approximately what percentage more/less than the total monthly expenditure of C and E together?
a) 26 % less
b) 12 % more
c) 12 % less
d) 26 % more
e) 18 % less
10) Who among the following has more expenses?
a) B
b) D
c) E
d) A
e) C
Answers:
1) Answer: c)
I) x2 + 21x – 116 = 0
(x + 29) (x – 4) = 0
x = – 29, 4
II) y2 – 24x + 128 = 0
(y – 16) (y – 8) = 0
y = 16, 8
x < y
2) Answer: d)
I) x2 + 53 = 150 % of 78
= > x2 = (150/100)*78 – 53
= > x2 = 117 – 53 = 64
= > x = 8, -8
II) y = ∛512
= > y = 8
x ≤ y
3) Answer: e)
I) 2x2 – 6x – 56 = 0
2x2 – 14x + 8x – 56 = 0
2x (x – 7) + 8 (x – 7) = 0
(2x + 8) (x – 7) = 0
X = -4, 7
II) 3y2 – 4y – 32 = 0
3y2 – 12y + 8y – 32 = 0
3y (y – 4) + 8 (y – 4) = 0
(3y + 8) (y – 4) = 0
Y = -2.67, 4
Can’t be determined
4) 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
5) Answer: e)
I) x4 = 625
x4 = (54)
= > x = -5, +5
II) y5 = 243
y5 = (3)5
= > y = 3
Can’t be determined
6) Answer: d)
Total monthly expenditure on food, clothes and Children’s education of people A and C together
= > [9.3 + 2.8 + 7.5 + 6.6 + 4.2 + 7] thousands
= > 37400
Total monthly expenditure on Rent and travelling of people B and D together
= > [6.8 + 3.1 + 8 + 3.6] thousands
= > 21500
Required % = (37400/21500)*100 = 173.95 % = 174 %
7) Answer: a)
The monthly expenditure on clothes and travelling of people B and E together
= > [3.5 + 3.1 + 3.7 + 2.9] thousands
= > 13200
The monthly expenditure on Food and Children’s education of people A and D together
= > [9.3 + 7.5 + 8.2 + 8.2] thousands
= > 33200
Required ratio = 13200: 33200 = 33: 83
8) Answer: c)
The monthly expenditure on Rent for all the given peoples together
= > [8.5 + 6.8 + 7.2 + 8 + 6.4] thousands
= > 36900
The monthly expenditure on children’s education for all the given peoples together
= > [7.5 + 6.5 + 7 + 8.2 + 6.8] thousands
= > 36000
Required difference = 36900 – 36000 = 900
9) Answer: b)
Total monthly expenditure of A and B together
= > [8.5 + 9.3 + 2.8 + 4.7 + 7.5 + 6.8 + 7.8 + 3.5 + 3.1 + 6.5] thousands
= > 60500
The total monthly expenditure of C and E together
= > [7.2 + 6.6 + 4.2 + 3.4 + 7 + 6.4 + 5.8 + 3.7 + 2.9 + 6.8] thousands
= > 54000
Required % = [(60500 – 54000)/54000]*100
= > 12.03 % = 12 % more
10) Answer: d)
Total monthly expenditure of A
= > [8.5 + 9.3 + 2.8 + 4.7 + 7.5] thousands = 32800
Total monthly expenditure of B
= > [6.8 + 7.8 + 3.5 + 3.1 + 6.5] thousands = 27700
Total monthly expenditure of C
= > [7.2 + 6.6 + 4.2 + 3.4 + 7] thousands = 28400
Total monthly expenditure of D
= > [8 + 8.2 + 2.6 + 3.6 + 8.2] thousands = 30600
Total monthly expenditure of E
= > [6.4 + 5.8 + 3.7 + 2.9 + 6.8] thousands = 25600
A has more expenses.
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