“20-20” Quantitative Aptitude | Crack IBPS RRB PO Prelims 2018 Day-166

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“20-20” Aptitude Questions | Crack IBPS RRB PO Prelims 2018 Day-166

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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. 9x2 – 100x + 171 = 0

II. 4y2 +16y +12 =0

2) I. 30x2 + 89x + 58 = 0

II. 27y2 – 51y – 56 = 0

3) I. 5x2 + 19x + 21 = 0

II. 32y2 – 28y + 3 = 0

4)  I. 2x2 -15x +22 = 0

II. 4y2 -13y +10 = 0

 5) I. 2x2 -6x – 20 = 0

II. 5y2 -28y +39 = 0

Directions (Q. 6 – 10): What approximate value should come in the place of question mark (?) in the following questions?

6) 74 % of 345 + 46 % of 1548 = ? – (12.85)3

  1. 2850
  2. 2640
  3. 2120
  4. 2370
  5. 3130

7) 16 4/5 % of 17197 + 31 6/7 % of 2149 + 45 2/3 % of 19599 = ?

  1. 15450
  2. 12630
  3. 13780
  4. 17820
  5. None of these

8) 48 % of 5242 + (96.12)2 ÷ 8 × 3 + (4.87)3 = 5 × ?

  1. 1220
  2. 1540
  3. 1680
  4. 1750
  5. None of these

9) 5 13/15 of 4349 + 6 2/19 of 3850 = ? + 639

  1. 31580
  2. 35670
  3. 39240
  4. 48560
  5. None of these

10) (3 8/9) ÷ (4 1/5) × (406/398) × 119 = (2/3) of (6/7) of (307/175) of (?)

  1. 150
  2. 240
  3. 120
  4. 190
  5. None of these

11) 4 years ago, the age of mother is 4 times that of his son. After 6 years, mother and son is in the ratio of 5:2. Find the ratio of ages of mother and son, after 13 years?

  1. 15:4
  2. 12:7
  3. 19:9
  4. 21:14
  5. None of these

12) Three pipes A, B and C can fill a tank in 8 hours. After working at it together for 3 hours, then C is closed and A and B can fill the remaining part in 6 hours. How much time taken by C to fill the tank alone?

  1. 36 hours
  2. 48 hours
  3. 42 hours
  4. 32 hours
  5. None of these

13) The area of a square is 1024 sq cm. What is respective ratio between the length and the breadth of a rectangle whose length is twice the side of square and breadth is 12 cm less than the side of square?

  1. 5 : 16
  2. 16 : 5
  3. 14 : 5
  4. 32 : 5
  5. None of these

14) The simple interest on a sum of money is 1/16 of the sum. If the number of years is equal to the rate percent per annum, then the rate percent per annum is

  1. 3 1/3
  2. 6 2/3
  3. 2 1/2
  4. 7 1/2
  5. None of these

15) The speed of the current is 4 km/hr. A boat goes 10 km upstream and comes back to starting point in 80 min. What is the speed of the boat in still water? (In km/hr)

a) 10

b) 16

c) 14

d) 12

e) 8

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

The following graph shows the ratio of import to export of three different countries over the years.

 

16) If the import of India was Rs. 8 million in 2013 and the export of Nepal in 2010 was 3/2 times of import of India in 2013, then the import of Nepal in 2010 is how much percentage more than the export of India in 2013?

  1. 8 %
  2. 15 %
  3. 24 %
  4. 4 %
  5. 29 %

17) If the amount of export of Srilanka in 2011 was Rs. 20 million, then find the amount of import of Srilanka in the same year?

  1. Rs. 8 million
  2. Rs. 10 million
  3. Rs. 6 million
  4. Rs. 12 million
  5. Can’t be determined

18) If the amount of Export for Srilanka in the year 2012, 2014 and 2015 is same, which is equal to 50 million, then find the average amount of Import for Srilanka in the year 2012, 2014 and 2015?

  1. 45 million
  2. 35 million
  3. 50 million
  4. 55 million
  5. None of these

19) If the amount of import for India in the year 2014 and the amount of export for Nepal in 2015 are same, then find the ratio of the amount of export in 2014 for India to the amount of import in 2015 for Nepal?

  1. 3 : 5
  2. 16 : 9
  3. 7 : 16
  4. 5 : 2
  5. 8 : 3

20) If the amount of import for Nepal in 2012 was 28 million and the amount of export for Srilanka in 2015 was 25 million, then find the amount of export for Nepal in 2012 is what percentage of the amount of import for Srilanka in 2015?

  1. 150 %
  2. 200 %
  3. 125 %
  4. 175 %
  5. 100 %

Answer with Explanation:

1). Answer: a)

Explanation:

I. 9x2 – 100x + 171 = 0

9x2 – 100x + 171 = 0

(9x – 19) (x – 9) = 0

x = 19/9, 9

II. 4y2 +16y +12 =0

4(y2 + 4y + 3) =0

y2 + 4y +3 =0

(y + 1) (y + 3) =0

Y = -1, -3

X > y

2) Answer: e)

Explanation:

I. 30x2 + 89x +58 = 0

30x2 + 60x + 29x +58 = 0

30x (x + 2) + 29 (x + 2) = 0

(30x + 29) (x + 2) = 0

X = -29/30, -2

II. 27y2 -51y -56 = 0

27y2 – 72y + 21y – 56 = 0

9y (3y – 8) +7(3y – 8) = 0

(9y + 7)(3y – 8) = 0

Y = -7/9, 8/3

Can’t be determined

3) Answer: c)

Explanation:

I. 5x2 + 19x + 12 = 0

5x2 + 15x+ 4x + 12 = 0

5x(x + 3) + 4(x + 3)=0

(5x + 4) (x + 3) = 0

x = -4/5, -3

II. 32y2 – 28y + 3 = 0

32y2 – 28y + 3 = 0

(8y – 1)(4y – 3) = 0

y = 1/8, ¾

x < y

4)  Answer: b)

Explanation:

I. 2x2 -15x +22 = 0

2x2 – 4x- 11x + 22 = 0

2x(x – 2)-11 (x – 2) = 0

(2x – 11)(x – 2) = 0

X= 11/2, 2

II. 4y2 -13y +10 = 0

4y2 – 8y -5y +10 = 0

4y(x – 2)-5 (x – 2) = 0

(4y-5)(x – 2) = 0

Y= 5/4, 2

X ≥ y

5) Answer: e)

Explanation:

I. 2x2 – 6x – 20 = 0

2x2 + 4x -10x – 20 = 0

2x(x + 2) -10(x + 2) = 0

(2x – 10) (x + 2) = 0

X= -2, 5

II. 5y2 – 28y + 39 = 0

5y2 – 15y -13y +39 = 0

5y(y – 3)-13 (y – 3) = 0

(5y – 13)(y – 3) = 0

Y= 13/5, 3

Can’t be determined

6). Answer: d)

Explanation:

74 % of 350 + 46 % of 1550 = ? – 133

(74/100)*350 + (46/100)*1550 = x – 2197

259 + 713 = x – 2197

X = 259 + 713 + 2197

X = 3169 = 3170

7) Answer: b)

Explanation:

17 % of 17200 + 32 % of 2150 + 46 % 19600 = x

(17/100)*17200 + (32/100)*2150 + (46/100)*19600 = x

X = 2924 + 688 + 9016

X = 12628 = 12630

 8) Answer: a)

Explanation:

48 % of 5250 + 962 ÷ 8 × 3 + 53 = 5 × ?

(48/100)*5250 + (96*96*3)/8 + 125 = 5x

5x = 2520 + 3456 + 125

5x = 6101

X = 6100/5 = 1220

9) Answer: d)

Explanation:

(6*4350) + (6*3850) = x + 640

26100 + 23100 – 640 = x

X = 48560

 10)  Answer: c)

Explanation:

(4/4)*(400/400)*120 = (2/3)*(6/7)*(308/176)*(x)

120 = x

11) Answer: c)

Explanation:

4 years ago, Mother : Son = 4 : 1 <=(4x, x)

After 6 years, M : S  =5 : 2

According to the question,

4x + 10/ x+10 = 5/2

8x + 20 = 5x + 50

3x = 30

X = 10

Present ages of mother and son = (4x+4, x+4) = 44, 14

After 13 years, Ratio of mother and son = (44+13, 14+13)

= > 57 : 27 = 19 : 9

12) Answer: b)

Explanation:

Three pipes A, B and C can fill a tank in 8 hours.

A, B and C’s 1 hour work=1/8

A, B and C’s 3 hour work= 3/8

Remaining work= 1-3/8 =5/8

The remaining part will be filled by A and B in 6 hours. Then,

= > (5/8) *(A+B) = 6

= > (A+B)’s whole work= 48/5 hr

(A+B)’s 1 hour work= 5/48

A, B and C’s 1 hour work=1/8

C’s 1 hour work= (A+B+C)-(A+B)

= > (1/8) – (5/48)

= > 1/48

C can fill the tank in 48 hours.

13) Answer: b)

Explanation:

Area of square =1024cm

Side = √(1024) = 32cm

Length of rectangle = 2 × 32 = 64cm

Breadth =32 – 12 =20cm

Ratio = 64 : 20 =16 : 5

14) Answer: c)

Explanation:

S.I = (1 / 16) P

(1 / 16) P = (P × r × r) / 100 (Here n=r)

1 / 16 = r2 / 100

r2 =100/16

r = 10 / 4 = 2 ½ %

15) Answer: b)

Explanation:

Let the speed of boat be x km/hr

According to the question, 10/(x – 4) + 10/(x + 4) = 80/60

=> 10 (x + 4 + x – 4) = 4/3(x2 – 16)

=> 15x = x2 – 16

=>x2 – 16 – 15x = 0

=> x = 16, -1

Therefore, the speed of boat in still water = 16km/hr

16). Answer: a)

Explanation:

Import of India in 2013 = 8 million

Export of Nepal in 2010 = 8*(3/2) = 12 million

Import of Nepal in 2010

10’s = 12

1’s = (12/10)

= > 9’s = (12/10)*9 = 10.8 million

Export of India in 2013

8’s = 8

1’s = 1

= > 10’s = (8/8)*10 = Rs. 10 million

Required % = [(10.8 – 10)/10]*100 = 8 %

17) Answer: a)

Explanation:

Export of Srilanka in 2011 = Rs. 20 million

Import of Srilanka in 2011

10’s = 20

1’s = 2

= > 4’s = 8 million

18) Answer: c)

Explanation:

The import of Srilanka in the year 2012

10’s = 50

1’s = 5

= > 11’s = 55 million

The import of Srilanka in the year 2014

10’s = 50

1’s = 5

= > 5’s = 25 million

The import of Srilanka in the year 2015

10’s = 50

1’s = 5

= > 14’s = 70 million

Required average = (55 + 25 + 70)/3 = 150/3 = 50 million

19) Answer: d)

Explanation:

Import of India in 2014 = Export of Nepal in 2015 = x

Required ratio = [x/(4/10)] : [x/1] = 5 : 2

20) Answer: b)

Explanation:

The amount of export for Nepal in 2012

4’s = 28

1’s = 7

= > 10’s = 70 million

The amount of import for Srilanka in 2015

10’s = 25

1’s = 2.5

= > 14’s = 35 million

Required % = (70/35)*100 = 200 %

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