# SBI Clerk Pre Quantitative Aptitude (Day-38)

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Data Interpretation

Directions (1 – 5): Study the following information carefully and answer the questions given below?

The given line graph shows the number of words typed in the book by six different persons in one hour.

1) What is the total time required to completely type 200 words for each A and D?

a) 5 hours 40 minutes

b) 2 hours 40 minutes

c) 3 hours 40 minutes

d) 4 hours 40 minutes

e) None of these

2) If G can type 150 words in one hour, find the average of words both G and A together can type in 15 hours?

a) 5280

b) 5180

c) 5380

d) 5080

e) None of these

3) If the ratio of the efficiency of B to G is 4: 5 and the ratio of the efficiency of D to H is 5: 7, how many words typed by G and H in 330 minutes?

a) 1240

b) 1460

c) 1380

d) 1540

e) None of these

4) If A decreased his efficiency by 20%, F increased his efficiency by 25% and D increased the efficiency by 30%, how many words typed by A, B, C, D, E and F together in 4 hours?

a) 2928

b) 2945

c) 2944

d) 2956

e) None of these

5) In how much time will required F and B together to type 1800 words in the book?

a) 380 minutes

b) 400 minutes

c) 420 minutes

d) 450 minutes

e) 360 minutes

Directions (6 – 10): In each of the following questions, two equations are given. You have to solve both the equations to find the relation between x and y and give answer as,

a) If x < y

b) If x > y

c) If x â‰¤ y

d) If x â‰¥ y

e) If x = y or relationship between x and y cannot be determined

6) I) 5x2 â€“ 22x + 21 = 0

II) 2y2 â€“ 13y + 21 = 0

Â

7) I) 2x2 â€“ 17x + 36 = 0

II) 6y2 â€“ 49y + 99 = 0

Â

8) I) 30x2 + 162x + 216 = 0

II) 3y2 + 19y + 30 = 0

Â

9) I) 2x2 â€“ 7x + 5 = 0

II) 2y2 â€“ 54y + 364 = 0

Â

10) I) x2 â€“ 29x + 210 = 0

II) 8y2 â€“ 49y + 45 = 0

Directions (1 – 5):

120 words typed by A = 1 hour

Time required for A to type one word = 1/120

Time required for A to type 200 word = 200/120

Time required for D to type one word = 1/100

Time required for D to type 200 word = 200/100

Total time = 200/120 + 2 = 440/120

= 11/3

= 3 hours 40 minutes

G types the number of words in given book in one hour = 150

A types the number of words one hour = 120

Required average = 15 * (120 + 150)/2 = 2025

G types the number of words in book in one hour = 5/4 * 112 = 140

H types the number of words in book in one hour = 7/5 * 100 = 140

Required words = (140 + 140) * 5.5 = 1540

A = 80/100 * 120 = 96

B = 112

C = 90

D = 130/100 * 100 = 130

E = 144

F = 125/100 * 128 = 160

Required number of words = (96 + 112 + 90 + 130 + 144 + 160) * 4 = 2928

F and B together can type the number of word in one hour = 112 + 128 = 240

Required time = 1800 * 1/240 = 7.5 hours

Directions (6 – 10):

From I =>

5x2 â€“ 22x + 21 = 0

=> 5x(x â€“ 3) â€“ 7(x â€“ 3) = 0

=> (5x â€“ 7) (x â€“ 3) = 0

=> x = 7/5, 3

From II =>

2y2 â€“ 13y + 21 = 0

=> 2y(y â€“ 3) â€“ 7(y â€“ 3) = 0

=> (2y â€“ 7) (y â€“ 3) = 0

=> y = 7/2, 3

Hence, x â‰¤ y

From I =>

2x2 â€“ 17x + 36 = 0

=> 2x(x â€“ 4) â€“ 9(x â€“ 4) = 0

=> (2x â€“ 9) (x â€“ 4) = 0

=> x = 9/2, 4

From II =>

6y2 â€“ 49y + 99 = 0

=> 3y (2y â€“ 9) â€“ 11(2y â€“ 9) = 0

=> (3y â€“ 11) (2y â€“ 9) = 0

=> y = 11/3, 9/2

Hence, relationship between x and y cannot be determined.

From I =>

30x2 + 162x + 216 = 0

=> 30x(x + 3) + 72(x + 3) = 0

=> (30x + 72) (x + 3) = 0

=> x = -3, -2.4

From II =>

3y2 + 19y + 30 = 0

=> 3y(y + 3) + 10(y + 3) = 0

=> (3y + 10) (y + 3) = 0

=> y = -3, -3.33

Hence, x â‰¥ y

From I =>

2x2 â€“ 7x + 5 = 0

=> 2x (x â€“ 1) â€“ 5 (x â€“ 1) = 0

=> (2x â€“ 5) (x â€“ 1) = 0

=> x = 2.5, 1

From II =>

2y2 â€“ 54y + 364 = 0

=> 2y(y â€“ 13) â€“ 28(y â€“ 13) = 0

=> (2y â€“ 28) (y â€“ 13) = 0

=> y = 13, 14

Hence, x < y

From I =>

x2 â€“ 29x + 210 = 0

=> x (x â€“ 14) â€“ 15(x â€“ 14) = 0

=> (x â€“ 15) ( x â€“ 14) = 0

=> x = 14, 15

From II =>

8y2 â€“ 49y + 45 = 0

=> 8y (y â€“ 5) â€“ 9 (y â€“ 5) = 0

=> (8y â€“ 9) (y â€“ 5) = 0

=> y = 5, 9/8

Hence, x > y

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