Quant Test for IBPS PO 2018 Prelim Exam Set – 24

Directions(1-5): Find out the relation between x and y and choose a correct option.

1. I. x^2 – 50x + 621 = 0
II. y^2 – 42y + 437 = 0

y>=x
x>=y
x>y
y>x
x=y or relation cannot be established.
Option B
I. x^2–50x+621 = 0
=>X^2–23x–27x+621 = 0
=>x = +23, +27
II. y^2–42y+437 = 0
=>Y^ 2–19y–23y+437 = 0
=>y = +19, +23
x>=y

2. I. x^2 – 3481 = 0
II.y^2 –118y +3481=0

x=y or relation cannot be established.
y>x
x>y
x>=y
y>=x
Option E
I. x^2 – 3481 = 0
x ^2 = 3481
x = ±59
II. y^2 –118y + 3481 = 0
y ^2 –59y–59y +3481 = 0
y = +59, +59
y>=x

3. I. 3√x– 18/√x = √x
II. 2√y + (y−36)/√y = –√y

x>y
x=y or relation cannot be established.
y>x
x>=y
y>=x
Option B
I.3√𝑥– 18/√𝑥 = √𝑥
=>3x–18 = x =>2x = 18
=>x = 9
II.2√𝑦 + (𝑦−36)/√𝑦 = –√𝑦
=>2y+y–36 = –y
=> 4y = 36
=>y = 9
x=y

4. I. √𝑥 + 6 = √121 – √36
II. y^2 + 112 = 473

y>x
x>=y
y>=x
x=y or relation cannot be established.
x>y
Option E
x = 19
y= + 19
x > y

5. I. 2x^2 + 13x + 21 = 0
II. 2y^2 + 27y + 88 = 0

y>=x
x>y
x=y or relation cannot be established.
y>x
x>=y
Option B
I.2x^2 + 13x + 21 = 0
=>2x^2 + 7 x + 6x + 21 = 0
=>x (2x + 7) + 3 (2x + 7) = 0
x = – 7/2, – 3
II.2y^2 + 16y + 11y + 88 = 0
=>2y (y + 8) + 11 (y + 8) = 0
y = – 8, – 11/2
x>y

6. Directions(6-10): Study the graph carefully answer the question that follow :
Number of players participating in three different games from six different countries :

7. The number of player participating in Badminton from all the country is what percent of total number of player participating in all game from country – III ?
132%
125%
140%
157%
120%
Option D
Total number of players participating in Badminton
= ( 45+ 40 + 95 + 85 +95 + 65) = 425
Number of player participating in all game from country III = ( 90 + 85 + 95) = 270
Percentage = 425/270*100 = 157%

8. What is the total number of player participating in Cricket from country IV, V and VI and the number of players participating in Football from country I, II and III ?
511
435
525
400
421
Option B
Players participating in Cricket from country ( IV, V and VI)
= (80 + 70 + 60) = 210
Players participating in Football from country (I, II and III) = (65 + 70 + 90) = 225
Total = 210 + 225 = 435

9. 60 % of players participating in all game from country V is male and 30 % players participating in all game from country III is female. What will be their ratio ?
48/27
47/23
33/22
49/27
41/20
Option D
Total number of players participating in all game from country V = (80 + 70 + 95) = 245
60 % of 245 = 147
Total number of players participating in all game from country III = (90 + 85 + 95) = 270
Therefore, 30 % of 270 = 81
Ratio = 147/81 = 49/27

10. The number of players participating in Cricket from country – IV is what percentage of the number of players participating in Badminton from country – I ?
178%
150%
145%
124%
110%
Option A
Number of players participating in Cricket from country IV = 80
Number of Players participating in Badminton from country I = 45
Percentage = 80/45*100 = 178%

11. In which country in the number of player participating in Football is the highest and number of player participating in Badminton is the lowest.
Country II and IV
Country II and III
Country IV and V
Country I and IV
Country I and V
Option B
Country III has highest number of player in Football and country II has lowest number of players in Badminton.

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