Canara Bank PO Mains 2018 – Quantitative Aptitude Questions Day-48

Dear Readers, Bank Exam Race for the Year 2018 is already started, To enrich your preparation here we have providing new series of Practice Questions on Quantitative Aptitude – Section. Candidates those who are preparing for Canara Bank PO Mains 2018 Exams can practice these questions daily and make your preparation effective.

Directions (Q. 1 – 5): In each of these 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 no relation can be established between x and y

1) I) 3x² – 19x + 28 = 0

II) (256)^1/4 y + (216)^1/3 = 0

2) I) 4/√x + 8/√x = √x

II) y² = 7^5/2 / √y

3) I) 5x² + 23x + 12 = 0

II) 15y² + 14y + 3 = 0

4) I) 2x² + 29x + 50 = 0

II) 12y² – 7y + 1 = 0

5) I) 2x + 3y =14

II) 4x + 2y = 16

Directions (Q. 6 – 10): Study the following information carefully and answer the given questions.

The following line graph shows the population of 3 states over the years (In lakhs)

6) Total population of state P and Q in the year 2013 and 2015 together is approximately what percentage of total population of state Q and R in the year 2014 and 2016 together?

a) 110 %

b) 95 %

c) 80 %

d) 125 %

e) 75 %

7) In which year, the total population of all the given states together is second highest?

a) 2016

b) 2013

c) 2017

d) 2014

e) 2015

8) Find the difference between the total population of all the given states together in the year 2013 and 2017 together to that of the year 2014 and 2016 together?

a) 7 lakhs

b) 9 lakhs

c) 4.5 lakhs

d) 12 lakhs

e) 10.5 lakhs

9) Find the ratio between the total population of State P to that of state R of all the given years together?

a) 123 : 129

b) 181 : 186

c) 157 : 164

d) 45 : 67

e) None of these

10) Total population in the year 2015 for all the given states together is approximately what percentage less than the total population in the year 2017 for all the given states together?

a) 24 %

b) 36 %

c) 12 %

d) 45 %

e) 58 %

Answers :

Direction (1-5) :

1) Answer: a)

I) 3x² – 19x + 28 = 0

3x² – 12x – 7x + 28 = 0

3x (x – 4) – 7 (x – 4) = 0

(x – 4) (3x – 7) = 0

x = 4, 7/3 = 4, 2.33

II) (256)^1/4 y = – (216)^1/3

(4⁴)^1/4 y = – (6³)^1/3

4y = -6

Y = – (6/4) = -1.5

X > y

2) Answer: a)

I) 4/√x + 8/√x = √x

12/√x = √x

12 = x

II) y² = 7^5/2/ √y

Y² × y^1/2 = 7^5/2

Y^{2 + (1/2)} = 7^5/2

Y^5/2 = 7^5/2

Y = 7

X > y

3) Answer: d)

I) 5x² +23x +12 = 0

5x² +20x +3x +12 = 0

5x(x+4) + 3(x+4) = 0

(5x+3) (x+4) = 0

X= -3/5, -4 = -0.6, -4

II) 15y² + 14y + 3 = 0

15y² + 5y + 9y + 3 = 0

5y (3y + 1) + 3(3y + 1) = 0

(5y + 3) (3y + 1) = 0

Y= -3/5, -1/3

X ≤ y

4) Answer: c)

I) 2x² +29x + 50 = 0

2x² + 4x + 25x + 50 = 0

2x(x + 2) + 25(x + 2) = 0

(2x + 25) (x + 2) = 0

X= -25/2, -2

II) 12y² – 7y + 1 = 0

12y² – 4y – 3y + 1 = 0

4y (3y – 1) – 1(3y – 1) = 0

(4y – 1) (3y – 1) = 0

Y= ¼, 1/3

X < y

5) Answer: c)

2x + 3y =14 —> (1)

4x + 2y = 16—> (2)

By solving the equation (1) and (2), we get,

X = 2.5, y = 3

X < y

Direction (6-10) :

6) Answer: b)

Total population of state P and Q in the year 2013 and 2015 together

= > 27 + 33.5 + 30 + 35.5 = 126 lakhs

Total population of state Q and R in the year 2014 and 2016 together

= > 28.5 + 32.5 + 30.5 + 41 = 132.5 lakhs

Required % = (126/132.5)*100 = 95 %

7) Answer: a)

2013 = > 36 + 33.5 + 27 = 96.5 lakhs

2014 = > 36 + 32.5 + 28.5 = 97 lakhs

2015 = > 35.5 + 34 + 30 = 99.5 lakhs

2016 = > 30.5 + 37 + 41 = 108.5 lakhs

2017 = > 42.5 + 39 + 32 = 113.5 lakhs

In the year 2016, the total population is second highest.

8) Answer: d)

The total population of all the given states together in the year 2013 and 2017 together

= > 36 + 33.5 + 27 + 42.5 + 39 + 32

= > 210 lakhs

The total population of all the given states together in the year 2014 and 2016 together

= > 36 + 32.5 + 28.5 + 30.5 + 37 + 41

= > 205.5 lakhs

Required difference = 210 – 205.5 = 4.5 lakhs

9) Answer: b)

The total population of state P of all the given years together

= > 33.5 + 36 + 35.5 + 37 + 39 = 181 lakhs

The total population of state R of all the given years together

= > 36 + 32.5 + 34 + 41 + 42.5 = 186 lakhs

Required ratio = 181 : 186

10) Answer: c)

Total population in the year 2015 for all the given states together

= > 35.5 + 34 + 30 = 99.5 lakhs

Total population in the year 2017 for all the given states together

= > 42.5 + 39 + 32 = 113.5 lakhs

Required % = [(113.5 – 99.5)/113.5]*100 = 12 %

Kindly watch this video to know about Important Arithmetic Questions For IBPS Clerk Prelims 2018

Daily Practice Test Schedule | Good Luck

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