# SBI Clerk Mains Quantitative Aptitude Questions 2019 (Day-07)

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SBI Clerk Mains Quantitative Aptitude Questions 2019 (Day-07)

maximum of 10 points

Directions (1 โ 5): Study the following information carefully and answer the questions given below:

The following bar graph represents time taken by five pairs of a boy and a girl together to complete a piece of work.

The following line graph represents time taken by five girls to complete the work alone.

1) Find the respective ratio of the sum of the efficiencies of Meena and Harish and sum of the efficiencies of Seema and Dinesh.

a) 10: 9

b) 8: 7

c) 7: 6

d) 5: 4

e) None of these

2) Nitin started the work and left after 12 days. Find the time taken by Deepa and Saurabh to complete the remaining part of the work together.

a) 913/33 days

b) 452/23 days

c) 683/27 days

d) 576/35 days

e) None of these

3) Time taken by Neha and Harish to complete the work together is approximately what percent of the time taken by Hena and Mukesh to complete the work together?

a) 47%

b) 53%

c) 79%

d) 93%

e) 87%

4) Find the time taken by Nitin, Harish, Hena and Meena to complete the work together.

a) 9 days

b) 15/2 days

c) 8 days

d) 17/2 days

e) None of these

5) Saurabh and Dinesh started the work. Seema joined them on thirteenth day. All three continued till the work completed. Find the number of days for which Seema worked.

a) 30/11 days

b) 40/21 days

c) 50/23 days

d) 60/31 days

e) None of these

6) 5 years ago, the age of a man was 7 year more than 4 times the age of his son. After 3 years, the age of the man will be 2 years less than thrice the age of his son. After how many years will the sum of their ages be 90 years?

a) 19 years

b) 10 years

c) 36 years

d) 23 years

e) None of these

7) A, B and C started a business by investing in the ratio of 4: 5: 8. After 4 months, A invested 50 % more than the initial investment and after another 2 months, B withdraws two-fifth of the initial investment. Find the share of C, if the total profit at the end of the year is Rs. 98800?

a) Rs. 45600

b) Rs. 42400

c) Rs. 48200

d) Rs. 50800

e) None of these

8) A sum was put at certain rate of simple interest for 5 years. If the interest would have been 4 % higher than the previous rate then Rs.ย  6000 would have been earned more. Find the sum?

a) Rs. 32000

b) Rs. 28000

c) Rs. 30000

d) Rs. 36000

e) None of these

9) Pipe P and Q can fill a tank in 18 minutes and 24 minutes respectively. Both the pipes are opened together but P left the work 3 minutes before filling the tank. Find the total time taken by both of them to fill the tank?

a) 12 min

b) 10 min

c) 14 min

d) 8 min

e) None of these

10) A bag contains (x + 2) violet, 4 red and 8 yellow color balls. If two balls are taken random and the probability of getting both red color balls is 2/51, then find the difference between the number of violet color balls and yellow color balls?

a) 3 balls

b) 4 balls

c) 1 ball

d) 2 balls

e) None of these

Directions (1 – 5):

1/Neha = 1/20

1/Nitin + 1/Neha = 1/15

=> 1/Nitin + 1/20 = 1/15

=> 1/Nitin = 1/15 โ 1/20

=> 1/Nitin = (4 โ 3)/60

=>1/Nitin = 1/60

1/Meena = 1/30

1/Mukesh + 1/Meena = 1/18

=> 1/Mukesh + 1/30 = 1/18

=> 1/Mukesh = 1/18 โ 1/30

=> 1/Mukesh = (5 โ 3)/90

=> 1/Mukesh = 2/90

=>1/Mukesh = 1/45

1/Hena = 1/20

1/Harish + 1/Hena = 1/12

=> 1/Harish + 1/20 = 1/12

=> 1/Harish = 1/12 โ 1/20

=> 1/Harish = (5 โ 3)/60

=> 1/Harish = 2/60

=>1/Harish = 1/30

1/Deepa = 1/48

1/Dinesh + 1/Deepa = 1/16

=>1/Dinesh + 1/48 = 1/16

=> 1/Dinesh = 1/16 โ 1/48

=> 1/Dinesh = (3 โ 1)/48

=> 1/Dinesh = 2/48

=>1/Dinesh = 1/24

1/Seema = 1/60

1/Saurabh + 1/Seema = 1/22.5

=> 1/Saurabh + 1/60 = 10/225

=> 1/Saurabh = 2/45 โ 1/60

=> 1/Saurabh = (8 โ 3)/180

=> 1/Saurabh = 5/180

=>1/Saurabh = 1/36

Sum of the efficiencies of Meena and Harish = 1/30 + 1/30

= 2/30

= 1/15

Sum of the efficiencies of Seema and Dinesh = 1/60 + 1/24

= (2 + 5)/120

= 7/120

Required ratio= 1/15: 7/120

= 8: 7

Let, required time taken = t days

12/60 + t x (1/48 + 1/36) = 1

=> 1/5 + t x (3 + 4)/144 = 1

=> 7t/144 = 1 โ 1/5

=> 7t/144 = (5 โ 1)/5

=> t = 144/7 x 4/5

=> t = 576/35 days

Let, time taken by Neha and Harish to complete the work together = t days

And time taken by Hena and Mukesh to complete the work together = n days

t x (1/20 + 1/30) = 1

=> t x (3 + 2)/60 = 1

=> t = 60/5

=> t = 12 days

n x (1/20 + 1/45) = 1

=> n x (9 + 4)/180 = 1

=> n = 180/13 days

Required percentage = 12/(180/13) x 100 = 86.67% = 87% approx.\

Let, required time taken = t days

t x (1/60 + 1/30 + 1/20 + 1/30) = 1

=> t x (1 + 2 + 3 + 2)/60 = 1

=> t = 60/8

=> t = 15/2 days

Let, required time = t days

12/36 + 12/24 + t x (1/36 + 1/24 + 1/60) = 1

=> 1/3 + ยฝ + t x (10 + 15 + 6)/360 = 1

=>31t/360 = 1 โ 1/3 โ ยฝ

=> 31t/360 = (6 โ 2 โ 3)/6

=> t = 360/31 x 1/6

=> t = 60/31 days

Direction (6-10) :

Let the present age of man and son be x and y respectively,

(x โ 5) = 4 * (y โ 5) + 7

x โ 5 = 4y โ 20 + 7

x โ 4y = -8 –> (1)

(x + 3) = 3 * (y + 3) – 2

x + 3 = 3y + 9 – 2

x โ 3y = 4 —> (2)

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

x = 40, y = 12

Sum of the present age of man and his son = 40 + 12 = 52 years

After 19 years, the sum of their age = 52 + 38 = 90 years

The share of A, B and C,

= > [4x * 4 + 4x * (150/100) * 8]: [5x * 6 + 5x * (3/5) * 6]: [8x * 12]

= > [16x + 48x]: [30x + 18x]: [96x]

= > 64x: 48x: 96x

= > 4: 3: 6

13โs = 98800

1โs = 7600

The share of C = 6โs = Rs. 45600

Let the sum be x and the rate of interest be r %,

[(x * (r + 4) * 5) / 100] โ [(x * r * 5)/100] = 6000

(5xr/100) + (20x/100) โ (5xr/100) = 6000

(20x/100) = 6000

x = (6000 * 100)/20 = Rs. 30000

Let the total time taken by both of them to fill a tank be x,

(x โ 3)/18 + x/24 = 1

(4x โ 12 + 3x)/72 = 1

7x โ 12 = 72

7x = 84

x = 12 min

4C2 / (x+14)C2 = 2/51

[(4 * 3) / (1 * 2)] / [(x + 14) (x + 13) / (1 * 2)] = 2/51

(51 * 6) = x2 + 13x + 14x + 182

306 = x2 + 27x + 182

x2 + 27x โ 124 = 0

(x โ 4) (x + 31) = 0

x = 4, -31 (negative value will be eliminated)

Required difference = 8 โ 6 = 2 balls

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