SBI PO Prelims Quantitative Aptitude Questions 2019 – Day 13

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Quantitative Aptitude Questions For SBI PO Prelims (Day-13)

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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) 2x – 5y – 4 = 0

II) 3x – 4y + 1 = 0

 2)

I) 2x2 – 8x – 42 = 0

II) 3y2 + 2y – 56 = 0 

3)

I) x2 – 16x + 55 = 0

II) y2 – 20y + 64 = 0 

4)

I) x2 – 16x – 57 = 0

II) 2y2 + 28y + 96 = 0 

5)

I) x = (158 ÷ 2 × 3) – (237 + 729)

II) y = 20736

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

Face book allows their users to post a comment for upcoming general elections. The following table shows the total number of positive comments (in favour), negative comments (against) of 5 different parties in a certain state. Some values are missing here.

Note:

Total comment = % of positive comment + % of negative comment

6) Find the difference between the total number of positive comments posted for the party P to that of party R, if the percentage of total number of negative comments posted against the party R is 48 %?

a) 84123

b) 76892

c) 82557

d) 78279

e) None of these

7) Find the average number of comments posted for all the given parties together, if the total number of positive comments posted for party Q is 93328 and the total number of negative comments posted for party T is 48988?

a) 256800

b) 243700

c) 221500

d) 231100

e) None of these

8) Find the percentage of total number of positive comments posted in the favour of party R, if the total number of negative comments posted against party R is 157200?

a) 48 %

b) 42 %

c) 53 %

d) 36 %

e) None of these

9) If the total number of positive comments posted in the favour of party T is 83412, then find the ratio between the total number of comments posted for party P to that of party T?

a) 123: 52

b) 46: 27

c) 417: 331

d) 285: 119

e) None of these

10) Total number of negative comments posted against party Q is approximately what percentage of total number of positive comments posted in the favour of party S, if the total number of comments posted for party Q is 245600?

a) 106 %

b) 94 %

c) 145 %

d) 117 %

e) 132 %

Answers :

Direction(1-5 ) :

1) Answer: c)

2x – 5y – 4 = 0 —-> (1)

3x – 4y + 1 = 0 —-> (2)

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

X = -3, y = -2

X < y

2) Answer: e)

I) 2x2 – 8x – 42 = 0

2x2 – 14x + 6x – 42 = 0

2x (x – 7) + 6(x – 7) = 0

(2x + 6) (x – 7) = 0

X = -3, 7

II) 3y2 + 2y – 56 = 0

3y2 -12y + 14y – 56 = 0

3y (y – 4) + 14(y – 4) = 0

(3y + 14) (y – 4) = 0

Y = -14/3, 4 = – 4.667, 4

Can’t be determined

3) Answer: e)

I) x2 – 16x + 55 = 0

(x – 11) (x – 5) = 0

X = 11, 5

II) y2 – 20y + 64 = 0

(y – 16) (y – 4) = 0

Y = 16, 4

Can’t be determined

4) Answer: a)

I) x2 – 16x – 57 = 0

(x + 3) (x – 19) = 0

X = -3, 19

II) 2y2 + 28y + 96 = 0

2y2 + 12y + 16y + 96 = 0

2y (y + 6) + 16(y + 6) = 0

(2y + 16) (y + 6) = 0

Y = -8, -6

X > y

5) Answer: c)

I) x = (158 ÷ 2 × 3) – (237 + ∛729)

X = [(158/2)*3] – (237 + 9)

X = 237 – 237 – 9 = -9

II) y = ∜20736

Y = 12

X < y

Direction (6-10) :

6) Answer: b)

The total number of positive comments posted for the party P

= > 166800*(56/100) = 93408

The total number of positive comments posted for the party R

= > 327500*(52/100) = 170300

Required difference = 170300 – 93408 = 76892

7) Answer: d)

The total number of comments posted for all the given parties together

= > 166800 + (93328/38)*100 + 327500 + 283200 + (48988/37)*100

= > 166800 + 245600 + 327500 + 283200 + 132400

= > 1155500

Required average = 1155500/5 = 231100

8) Answer: a)

The total number of negative comments posted against party R = 157200

The percentage of total number of positive comments posted in the favour of party R

= > (157200/327500)*100 = 48 %

9) Answer: c)

The total number of positive comments posted in the favour of party T = 83412

The ratio between the total number of comments posted for party P to that of party T

= > 166800: (83412/63)*100

= > 166800: 132400

= > 417: 331

10) Answer: d)

Total number of negative comments posted against party Q

= > 245600*(62/100) = 152272

Total number of positive comments posted in the favour of party S

= > 283200*(46/100) = 130272

Required % = (152272/130272)*100 = 117 %

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