IBPS PO Mains 2018 – Quantitative Aptitude Questions Day-19

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 IBPS 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) x² – 5√7 x + 42 = 0

II) y² + 3√2 y – 56 = 0

2) I) √361 x + √9025 = 0

II) (7776)^1/5 y + (13824)^1/3 = 0

3) I) (x^8/5 ÷ 25) = (64 ÷ x^2/5)

II) y^2/9 × y^7/9 × 36 = 216 × y^1/2

4) I) 13x² – 16x – 32 = 8x² – 28x       

II) 17y² +22y + 9 = 13y² + 10y

5) I) 3x + 5y = √2025

II) 2x + 3y = ∛21952

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

The following table shows the percentage distribution of above poverty line in 5 different states and the ratio of male and female population in below poverty line and that of above poverty line.

6) If the total female population in below poverty line in state A is 81.6 lakhs, then find the total population in state A?

a) 360 lakhs

b) 320 lakhs

c) 410 lakhs

d) 440 lakhs

e) None of these

7) Find the difference between the total male population to that of total female population in state C, if the total male population in above poverty line in state C is 224.64 lakhs?

a) 15.62 lakhs

b) 13.54 lakhs

c) 14.88 lakhs

d) 17.35 lakhs

e) None of these

8) Find the sum of the population in state B and D together, if the total population of below poverty line in state B is 117.6 lakhs and the total population of above poverty line in state D is 550.8 lakhs?

a) 1225 lakhs

b) 1380 lakhs

c) 1260 lakhs

d) 1100 lakhs

e) None of these

9) Find the difference between the below poverty line population to that of above poverty line population in state E, if the female population of above poverty line in state D is same as above poverty line population in state E and the total population in state D is 680 lakhs?

a) 158 lakhs

b) 162 lakhs

c) 174 lakhs

d) 146 lakhs

e) None of these

10) If the total population of above poverty line in state B is 302.4 lakhs and the total population of below poverty line in state E is 144 lakhs, then find the average female population of above poverty line in state B and E together?

a) 16856000

b) 14475000

c) 15305000

d) 14892000

e) None of these

Answers :

1) Answer: e)

I) x² – 5√7 x + 42 = 0

(x – 2√7) (x – 3√7) = 0

X = 2√7, 3√7 = 5.29, 7.93

II) y² + 3√2 y – 56 = 0

(y – 4√2) (y + 7√2) = 0

Y = 4√2, -7√2 = 5.656, -9.898

Can’t be determined

2) Answer: c)

I. √361 x + √9025 = 0

19x + 95 = 0

19x = -95

x = – 5

II. (7776)^1/5 y + (13824)^1/3 = 0

(6⁵)^1/5 + (24³)^1/3 = 0

6y + 24 = 0

6y = -24

Y = -4

X < y

3) Answer: e)

I) (x^8/5 ÷ 25) = (64 ÷ x^2/5)

X^8/5 × x^2/5 = 64 × 25

X^10/5 = 64 × 25

X² = 64 × 25

X = + (8*5), – (8*5) = +40, -40

II) y^2/9 × y^7/9 × 36 = 216 × y^1/2

Y^{2/9 + 7/9 – ½} = 216/36

Y^1/2 = 6

Y = 36

Can’t be determined

4) Answer: e)

I) 13x² – 16x – 32 = 8x² – 28x

5x² + 12x – 32 = 0

5x² + 20x – 8x – 32 = 0

5x (x + 4) – 8(x + 4) = 0

(5x – 8) (x + 4) = 0

X = 8/5, -4 = 1.6, -4

II) 17y² + 22y + 9 = 13y² + 10y

4y² + 12y + 9 = 0

4y² + 6y + 6y + 9 = 0

2y(2y + 3) + 3(2y + 3) = 0

(2y + 3) (2y + 3) = 0

Y = -3/2, -3/2 = -1.5, -1.5

Can’t be determined

5) Answer: c)

I) 3x + 5y = √2025

3x + 5y = 45 –à (1)

II) 2x + 3y = ∛21952

2x + 3y = 28 –à (2)

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

X = 5, y = 6

X < y

Direction (6-10) :

6) Answer: a)

The total female population in below poverty line in state A = 81.6 lakhs

The ratio between the total male to that of female population of below poverty line in state A

= > 1 : 2

2’s = 81.6

1’s = 40.8

Total population of below poverty line in state A

= > 81.6 + 40.8 = 122.4 lakhs

34 % of total population in state A = 122.4

Total population in state A = 122.4*(100/34) = 360 lakhs

7) Answer: c)

The total male population in above poverty line in state C = 224.64 lakhs

The ratio between the total male to that of female population of above poverty line in state C = 8: 7

8’s = 224.64

1’s = 28.08

The total female population of above poverty line in state C = 196.56 lakhs

The total population of above poverty line in state C

= > 224.64 + 196.56 = 421.2 lakhs

78 % of total population in state C = 421.2 lakhs

Total population of below poverty line in state C

= > 421.2*(100/78)*(22/100) = 118.8 lakhs

The total male population of below poverty line in state C

= > 118.8*(4/9) = 52.8 lakhs

The total female population of below poverty line in state C

= > 118.8*(5/9) = 66 lakhs

Total male population in state C = 224.64 + 52.8 = 277.44 lakhs

Total female population in state C = 196.56 + 66 = 262.56 lakhs

Required difference = 277.44 – 262.56 = 14.88 lakhs

8) Answer: d)

The total population of below poverty line in state B = 117.6 lakhs

28 % of total population in state B = 117.6

Total population in state B = 117.6*(100/28) = 420 lakhs

The total population of above poverty line in state D = 550.8 lakhs

81 % of total population in state D = 550.8

Total population in state D = 550.8*(100/81) = 680 lakhs

Required total = 420 + 680 = 1100 lakhs

9) Answer: b)

The total population in state D = 680 lakhs

The female population of above poverty line in state D = The above poverty line population in state E

The female population of above poverty line in state D

= > 680*(81/100)*(5/9) = 306 lakhs

The above poverty line population in state E = 306 lakhs

68 % of total population in state E= 306

Total below poverty line population in state E

= > 306*(100/68)*(32/100) = 144 lakhs

Required difference = 306 – 144 = 162 lakhs

10) Answer: c)

The total population of above poverty line in state B = 302.4 lakhs

The total female population of above poverty line in state B

= > 302.4*(9/16) = 170.1 lakhs

The total population of below poverty line in state E = 144 lakhs

32 % of total population in state E = 144 lakhs

Total above poverty line population in state E

= > 144*(100/32)*(68/100) = 306 lakhs

Total female population of above poverty line in state E

= > 306*(4/9) = 136 lakhs

The average female population of above poverty line in state B and E together

= > (170.1 + 136)/2 = 153.05 lakhs = 15305000

Kindly watch this video to know about Important Table Based Data Interpretation Questions

Daily Practice Test Schedule | Good Luck

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