“20-20” Quantitative Aptitude | Crack IBPS RRB PO Prelims 2018 Day-146

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“20-20” Aptitude Questions | Crack IBPS RRB PO Prelims 2018 Day-146

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Directions (Q. 1 – 5): What approximate value should come in the place of question mark (?) in the following questions?

1) (31.78 % of 399) ÷? = (216% of 151) – 2080 ÷ 8

  1. 2
  2. 4
  3. 5
  4. 3
  5. 6 

2) (6560.89)2 × (9963.13 ÷ 122.97)2 ÷ 96 = 9?

  1. 8
  2. 4
  3. 6
  4. 12
  5. 10 

3) 105 % of 1299 + 51 % of 1098 – 18 % of 951 =?

  1. 1470
  2. 2130
  3. 2425
  4. 1755
  5. 2835 

4) 625.92 – 362.21 ÷ (9.57 % of 82) =? – (8/9) of (11/13) of 2925

  1. 2560
  2. 2780
  3. 2320
  4. 3140
  5. 3370

5) √65535 ÷ 8 + (28.01)2 – (8.99)3 = 100 – ?

  1. 18
  2. 22
  3. 27
  4. 34
  5. 13

Directions (6 – 10): In the following questions, two equations I and II are given. You have to solve both the equations and give answer as,

  1. If x > y
  2. If x ≥ y
  3. If x < y
  4. If x ≤ y
  5. If x = y or the relation cannot be established 

6) I. x2 + 15x + 56 = 0

II. y2 + 13y + 42 = 0

7)  I. 2x2 + 12x + 16 = 0

II. 3y2 -7y – 6 = 0

8) I. x2 + x – 132 = 0

II. y2 – 13y – 48 = 0

9) I. 3x + 2y = 5

II. 2x + y = 2

10) I. x2 – 12x + 36 = 0

II. 5y2 + 4y – 12 = 0

11) A trader sells an article at a loss of 10%, when he increases the selling price of the article by Rs. 120, then he earns a profit of 20% on the cost price. If he sells the same article for Rs. 560, then find his profit percentage?

  1. 30 %
  2. 40 %
  3. 25 %
  4. 35 %
  5. None of these 

12) A man purchases two watches for Rs. 1750. One he sells at 20 % profit and the other he sells at 15 % loss. Thus, he neither gains nor losses. Then find the cost price of each watch?

  1. Rs. 800, Rs. 950
  2. Rs. 900, Rs. 850
  3. Rs. 700, Rs. 1050
  4. Rs. 750, Rs. 1000
  5. None of these 

13) If the numerator of a fraction is increased by 50% and the denominator of the fraction is subtracted by 28, then the resultant fraction becomes 7/9. Find the original fraction, if the numerator of a fraction is 41 less than the denominator of a fraction?

  1. 20/63
  2. 11/52
  3. 14/55
  4. 17/58
  5. None of these 

14) A can finish a work in 20 days. B can do the same work in 8 days and C can do it in 10 days. B and C start the work but they are forced to leave after 4 days. How many days A will take to finish the remaining work?

  1. 2 days
  2. 4 days
  3. 3 days
  4. 5 days
  5. None of these    

15) A man invested Rs. 45000 in a scheme A which offers simple interest at a rate 6% for 3 years.  He also invested Rs. 50000 in scheme B which offers simple interest at a rate of x% and for same period of time while the interest received from scheme B is Rs. 900 more than interest received from scheme A, then find the value of x?

  1. 6 %
  2. 5 %
  3. 7 %
  4. 8 %
  5. None of these

Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:

Following table shows the total number of items produced by two different companies in different years and the ratio of sold and unsold items among them.

 

Years

Company A Company B
Production

(In lakhs)

Sold : Unsold Production

(In lakhs)

Sold : Unsold
2012 35.6 3 : 1 44.5 4 : 1
2013 42.5 3 : 2 53.4 2 : 1
2014 54.4 5 : 3 55.8 5 : 3
2015 57.6 7 : 2 62.4 7 : 1
2016 66.8 3 : 1 65.2 3 : 1

 

16) Total production of company A in the year 2012, 2014 and 2016 together is approximately what percentage more/less than the total production of company B in the year 2013, 2014 and 2016 together?

  1. 25 %
  2. 20 %
  3. 30 %
  4. 10 %
  5. 40 % 

17) Find the difference between the total sold items of company A in the year 2012 and 2014 together to that of total unsold items of company A in the year 2013 and 2015 together?

  1. 30.9 lakhs
  2. 42.5 lakhs
  3. 28.7 lakhs
  4. 35.6 lakhs
  5. None of these 

18) Find the ratio between the total sold items of company A in the year 2013 and 2015 together to that of total unsold items of company B in the year 2012 and 2014 together?

  1. 564 : 239
  2. 1038 : 757
  3. 2812 : 1193
  4. 1546 : 855
  5. None of these 

19) Find the average unsold items of company B in the year 2012, 2013 and 2014 together?

  1. 1872500
  2. 1587500
  3. 1695000
  4. 1432500
  5. None of these 

20) Total sold items of company A in the year 2012 is approximately what percentage of total sold items of company B in the year 2015?

  1. 50 %
  2. 60 %
  3. 40 %
  4. 80 %
  5. 70 %

Answers:

1). Answer: a)

(32 % of 400) ÷ ? = (216% of 150) – (2080/8)

[(32/100)*400]/x = [(216/100)*150] – 260

128/x = 324 – 260

128/64 = x

X = 2

2). Answer: c)

(6561)2 × (9963 ÷ 123)2 ÷ 96 = 9x

(94)2 × (9963/123)2 ÷ 96 = 9x

98 × (81)2 ÷ 96 = 9x

98 × (92)2 ÷ 96 = 9x

98 × 94 ÷ 96 = 9x

98 + 4 – 6 = 9x

96 = 9x

X = 6

3). Answer: d)

(105/100)*1300 + (51/100)*1100 – (18/100)*950 = x

X = 1365 + 561 – 171

X = 1755

4). Answer: b)

626 – 362 ÷ (10 % of 80) =? – (8/9) * (11/13) * 2925

626 – 362 ÷ (10/100)*80 = x – 2200

626 – (360/8) = x – 2200

626 – 45 = x – 2200

X = 626 – 45 + 2200

X = 2781

X = 2780

5). Answer: e)

√65536 ÷ 8 + (28)2 – (9)3 = 100 – x

(256/8) + 784 – 729 = 100 – x

32 + 784 – 729 = 100 – x

X = 100 – 87

X = 13

Direction (6-10)

6). Answer: d)

I. x2 + 15x + 56 = 0

(x + 8) (x + 7) = 0

x = -8, -7

II. y2 + 13y + 42 = 0

(y + 6) (y + 7) = 0

y = -6, -7

x ≤ y

7). Answer: c)

I. 2x2 + 12x + 16 = 0

2x2 + 8x + 4x + 16 = 0

2x (x + 4) + 4 (x + 4) = 0

(2x +4) (x + 4) = 0

x = -2, -4

II. 3y2 -7y – 6 = 0

3y2 -9y + 2y – 6 = 0

3y (y – 3) + 2 (y – 3) = 0

(3y + 2) (y – 3) = 0

y = 3, -2/3 = 3, -0.66

x < y

8). Answer: e)

I. x2 + x – 132 = 0

X2 + 12x – 11x – 132 = 0

x (x + 12) – 11 (x + 12) = 0

(x -11) (x + 12) = 0

x = 11, -12

II. y2 – 13y – 48 = 0

Y2 – 16y + 3y – 48 = 0

Y(y – 16)+3 (y + 16) = 0

(y – 3) (y + 16) = 0

Y = -3, 16

Can’t be determined

9). Answer: c)

3x + 2y = 5 —> (1)

2x + y = 2 —-> (2)

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

X = -1, y = 4

x < y

10). Answer: a)

I. x2 – 12x – 36 = 0

X2 – 6x – 6x + 36 = 0

x (x – 6) – 6 (x – 6) = 0

x = 6, 6

II. 5y2 + 4y – 12 = 0

5y2 + 10y – 6y – 12 = 0

5y (y + 2) – 6(y + 2) = 0

(5y – 6) (y + 2) = 0

y = -2, 6/5

x > y

11). Answer: b)

Let the cost price be x,

According to question

(120/100)*x – (90/100)*x = 120

(30/100)*x = 120

X = 120*(10/3) = 400

Cost Price of the article = Rs. 400

Profit = 560 – 400 = Rs. 160

Profit %= (160/400)*100 = 40%

12). Answer: d)

CP1 + CP2 = 1750

Using allegation method,

 

 

 

 

 

 

13). Answer: c)

Let the original fraction be x/y,

x = y – 41

[x*(150/100)]/[y – 28] = 7/9

3x/[2*(y – 28)] = 7/9

3x/(2y – 56) = 7/9

27x = 14y – 392

27x = 14*(x + 41) – 392

27x = 14x + 574 – 392

13x = 182

x = 14

y = 14 + 41 = 55

Original fraction = x/y = 14/55

14). Answer: a)

A’s one day work = (1/20)

B’s one day work = (1/8)

C’s one day work = (1/10)

(B + C)’s one day work = (1/8) + (1/10) = 18/(8*10) = 9/40

(B + C)’s 4 day work = (9/40)*4 = 9/10

Remaining work = 1/10

A can finish the remaining work in,

= > (1/10)*20 = 2 days

15). Answer: a)

According to the question,

(45000*6*3)/100 + 900 = (50000*x*3)/100

8100 + 900 = 1500x

9000 = 1500x

x = 9000/1500

x = 6%

Direction (16-20)

16). Answer: d)

Total production of company A in the year 2012, 2014 and 2016 together

= > 35.6 + 54.4 + 66.8 = 156.8 lakhs

Total production of company B in the year 2013, 2014 and 2015 together

= > 53.4 + 55.8 + 62.4 = 171.6 lakhs

Required % = [(171.6 – 156.8)/171.6]*100 = 10 %

17). Answer: a)

The total sold items of company A in the year 2012 and 2014 together

= > 35.6*(3/4) + 54.4*(5/8)

= > 26.7 + 34 = 60.7 lakhs

The total unsold items of company A in the year 2013 and 2015 together

= > 42.5*(2/5) + 57.6*(2/9)

= > 17 + 12.8 = 29.8 lakhs

Required difference = 60.7 – 29.8 = 30.9 lakhs

18). Answer: c)

The total sold items of company A in the year 2013 and 2015 together

= > 42.5*(3/5) + 57.6*(7/9)

= > 25.5 + 44.8 = 70.3 lakhs

The total unsold items of company B in the year 2012 and 2014 together

= > 44.5*(1/5) + 55.8*(3/8)

= > 8.9 + 20.925 = 29.825 lakhs

Required ratio = 7030000: 2982500 = 2812: 1193

19). Answer: b)

The total unsold items of company B in the year 2012, 2013 and 2014 together

= > 44.5*(1/5) + 53.4*(1/3) + 55.8*(3/8)

= > 8.9 + 17.8 + 20.925 = 47.625 lakhs

Required average = (47.625/3) = 15.875 lakhs = 1587500

20). Answer: a)

Total sold items of company A in the year 2012

= > 35.6*(3/4) = 26.7 lakhs

Total sold items of company B in the year 2015

= > 62.4*(7/8) = 54.6 lakhs

Required % = (26.7/54.6)*100 = 50 %

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