Hello and welcome to ExamPundit. Here is a set of Quantitative Aptitude Quiz for Bank Exams 2015. The following set is based on Data Interpretation and Quadratic Equations
Directions—(Q. 1–5)
In each of these questions two equations numbered I and II are given. You have to
solve both the equations and give
answer, if—
(a) x < y
(b) x ≤ y
(c) x > y
(d) x ≥ y
(e) x = y or the relationship cannot be established
1. I. x^{2} + 12x + 32 = 0
II. y^{2} + 17y + 72 = 0
Solutions I. x^{2} + 12x + 32 = 0
⇒ (x + 4) (x + 8) = 0
∴ x = – 4 or – 8
II. y^{2} + 17y + 72 = 0
⇒ (y + 8) (y + 9) = 0
∴ y = – 8 or – 9
Hence, x ≥ y


2. I. x^{2} + 13x + 42 = 0
II. y^{2} + 19y + 90 = 0
Solutions  I. x^{2} + 13x + 42 = 0
⇒ (x + 6) (x + 7) = 0
∴ x = – 6 or – 7
II. y^{2} + 19y + 90 = 0
⇒ (y + 9) (y + 10) = 0
y = – 9 or – 10
∴ x > y


3. I. x^{2} – 15x + 56 = 0
II. y^{2} – 23y + 132 = 0
Solutions  I. x^{2} – 15x + 56 = 0
⇒ (x – 7) (x – 8) = 0
∴ x = 7 or 8
II. y^{2} – 23y + 132 = 0
⇒ (y – 11) (y – 12) = 0
∴ y = 11 or 12
∴ x < y


4. I. x^{2} + 7x + 12 = 0
II. y^{2} + 6y + 8 = 0
Solutions  I. x^{2} + 7x + 12 = 0
⇒ (x + 3) (x + 4) = 0
∴ x = – 3 or – 4
II. y^{2} + 6y + 8 = 0
⇒ (y + 2) (y + 4) = 0
∴ y = – 2 or – 4
∴ x ≤ y


5. I. x^{2} – 22x + 120 = 0
II. y^{2} – 26y + 168 = 0
Solutions  I. x^{2} – 22x + 120 = 0
⇒ (x – 10) (x – 12) = 0
∴ x = 10 or 12
II. y^{2} – 26y + 168 = 0
⇒ (y – 12) (y – 14) = 0
∴ y = 12 or 14
∴ x ≤ y


Directions—(Q. 6–10) Study the following graph carefully to answer the questions—
Per cent Increase in
Profit of Two Companies Over the Years
6. In which year did
Company A earn the maximum amount of profit?
(a) 2009
(b) 2006
(c) 2007
(d) Cannot be determined
(e) None of these
7. If the amount of
profit earned by Company B in the year 2007 was Rs. 7·56 lakhs, what was the
profit earned by it in the year 2005
?
(a) Rs. 5 lakhs
(b) Rs. 3·5 lakhs
(c) Rs. 4 lakhs
(d) Cannot be determined
(e) None of these
8. What is the
approximate average per cent increase in profit of Company A over all the years
together?
(a) 31
(b) 27
(c) 40
(d) 39
(e) 34
9. What is the average
per cent increase in profit of Company B in the year 2007 and 2009 together ?
(a) 40
(b) 45
(c) 38
(d) 42
(e) None of these
10. What is the
respective ratio of per cent increase in profit of Company A in the year 2008
to the per cent increase in profit
of Company B in the same year ?
(a) 9 : 7
(b) 6 : 11
(c) 11 : 6
(d) 7 : 9
(e) None of these
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