Quantitative Aptitude

Crack SBI Clerk Prelims 2018 Sectional Full Test (Quantitative Aptitude) Day-18

Dear Readers, SBI Clerk (Junior Associates) 2018 Preliminary Examination is scheduled to be held on 23rd, 24th, and 30th of June 2018. In that case, aspirants need to speed up the preparation as there are only few days more.

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Minimum Cut Off for this Quantitative Aptitude Section Test is: 20

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Directions (Q. 1-5): What value should come in place of question mark (?) in the following number series?

  1. 488, 124, 33,? , 4.5625
  1. 12.75
  2. 15.25
  3. 18.50
  4. 10.25
  5. 17.75
  1. 216, 231, 255, 304, 402,?
  1. 656
  2. 581
  3. 724
  4. 552
  5. 613
  1. 56, 342, 1715, 6864,?
  1. 12342
  2. 18375
  3. 20595
  4. 24568
  5. 16760
  1. 23, 163, 1143, 8003,?
  1. 32056
  2. 38275
  3. 26552
  4. 42624
  5. 56023
  1. 187, 1211, 1723, 1979, ? , 2171
  1. 2107
  2. 2051
  3. 2133
  4. 2077
  5. 2123

Directions (Q. 6 – 10) Study the following table carefully and answer the given questions:

Following table shows the oil imports from different countries over the years (In million tonnes)

Country 2013 2014 2015 2016 2017
Saudi Arabia 25.5 27.2 28.8 30.4 32.6
Iraq 17.5 18.4 16.3 19.5 21.7
Iran 15.7 17.5 18.6 21.2 23.9
Nigeria 11.3 12.4 15.6 16.9 17.1
UAE 7.3 8.1 9.5 6.7 10.6

6. The oil imports from Saudi Arabia in the year 2013, 2015 and 2017 is approximately what percentage of the oil imports from Iran in the year 2014, 1015 and 2016?

  1. 128 %
  2. 146 %
  3. 164 %
  4. 152 %
  5. 114 %
  1. Find the ratio of oil imports from Nigeria to that from Iraq all over the years?
  1. 733 : 934
  2. 815 : 1028
  3. 657 : 824
  4. 513 : 752
  5. None of these
  1. Find the difference between the total number of oil imports in 2016 and that in 2017, for all the given countries?
  1. 15.6 million tones
  2. 18.4 million tones
  3. 11.2 million tones
  4. 14.8 million tones
  5. None of these
  1. Total number of oil imports from Iran is approximately what percentage more/less than the total number of oil imports from Iraq, for all the given years?
  1. 10 % more
  2. 4 % more
  3. 7 % less
  4. 12 % less
  5. 15 % more
  1. Find the average number of oil imports from UAE for all the given years together?
  1. 8.44 million tones
  2. 7.52 million tones
  3. 11.6 million tones
  4. 12.8 million tones
  5. None of these

Directions (Q. 11-15): What approximate value should come in place of question mark (?) in the following questions?

  1. 90.05 + 281 ÷ 4 – 151.21 = ∛x
  1. 512
  2. 343
  3. 1000
  4. 729
  5. 216
  1. (17.98)2 ÷ (3.05)2 × 90.11 ÷ 5.01 =? – 551 ÷ 3.98
  1. 830
  2. 720
  3. 790
  4. 880
  5. 940
  1. 80.12 % of 149.98 + 59.98 % of 50 =?
  1. 200
  2. 225
  3. 175
  4. 125
  5. 150
  1. √628 × 18.01 ÷ 15.11 =? – (16.89)2
  1. 320
  2. 390
  3. 430
  4. 480
  5. 270
  1. (1/8) × 121 + (1/5) × 76 – ? = 25
  1. 12
  2. 5
  3. 18
  4. 9
  5. 24

Directions (Q. 16-20) Read the following information carefully and answer the following and answer the following questions:

There are two companies, company A and B. Both companies produce four different types of products namely, Keyboard, Mouse, Camera and Monitor. The total number of products produced by company A is 700. Company B produces 30% more products than company A. Out of total production by company A, 20% is keyboard. One fourth of total production by company A is Monitor. 23% of the total production of company A is Mouse. Remaining products produced are cameras. The total number of monitor produced by both the companies is 480. 40% of the total production of company B is Mouse. 10% of the total production of company B is cameras. The remaining number of products produced by company B is keyboards. 20% of the mouse produced by both the companies is defective while 40% of keyboard produced by company A are defective. Rest all the products produced by the both companies are good.

  1. If the cost price of each keyboard produced company A is Rs. 450 and it sold the defective keyboard produced at a loss of 10% then find at what price should company A sell the remaining keyboard to make up the loss incurred?
  1. Rs. 20150
  2. Rs. 40320
  3. Rs. 55123
  4. Rs. 30120
  5. Rs. 60560
  1. Total number of keyboards produced by company A is approximately what percentage less than the total number of monitor produced by company B?
  1. 42 %
  2. 65 %
  3. 54 %
  4. 73 %
  5. 38 %
  1. If the cost of a mouse produced by company A is Rs. 240 while that of company B is Rs. 300 then find the difference between the revenue generated by both the companies if they sold their products at 20% profit?
  1. 20400
  2. 40150
  3. 55123
  4. 30560
  5. 84672
  1. Out of the defective mouse produced by both the companies, 20% is of company A, then find the number of defective mouse produced by company B?
  1. 76
  2. 84
  3. 62
  4. 68
  5. 70
  1. If the company B marked up the price of keyboard by 20% and allowed 10% discount to its regular customer, then find the cost price of each keyboard, if company B earned a profit Rs. 2400 by selling the keyboards?
  1. 200
  2. 400
  3. 550
  4. 300
  5. 600

Directions (Q. 21-25): Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship between them. Mark your answer accordingly.

  1. Quantity I: The age of the teacher, if the average age of 28 students is 15 years. When the age of the teacher be included, the average increases by 1.

Quantity II: 5 years ago, the ratio of age of A and B is 4: 1. If the difference between their ages is 30 years, then find the present age of A?

a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established

  1. Quantity I: A and B started a business by investing Rs. 24000 and Rs. 30000 respectively. The period of investment is equal for both of them. Find the share of A out of the annual profit of Rs. 72000?

Quantity II: P and Q started a business together. After one year, their profit ratio is 3: 4. If P invested Rs. 12000, then find the initial investment of Q?

a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established

  1. Quantity I: The ratio of speed of two trains is 3: 5. If the second train runs 350 km in 7 hours, then the speed of the first train is?

Quantity II: 150 m long train crosses a telegram post in 3 sec. Find the speed of the train?

a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established

  1. Quantity I: The difference between the simple interest and compound interest on a certain sum of money for 2 years at 9 % per annum is Rs. 121.50. Find the sum?

Quantity II: A certain sum of money invested for a period of 5 years at 6 % per annum, simple interest earned is Rs. 5400. Find the principle?

a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established

  1. Quantity I: A man covers a certain distance in 11 hours. He covers first half of a distance at 15 km/hr and second half of a distance at 18 km/hr, find the distance covered by him?

Quantity II: Two trains of equal length moves towards each other at a

Speed of 40 km/hr and 35 km/hr respectively. If they crossing each other after 14.4 secs, then find the length of each train

a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established 

  1. 24 men can complete the work in 12 days. After 6 days of the work, 6 men left the job. In how many days will take to complete the remaining work?
  1. 12 days
  2. 14 days
  3. 10 days
  4. 8 days
  5. None of these
  1. A bag contains 50p, 25p and 10p coins in the ratio of 6: 4: 3, amounting to Rs. 258. Find the number of coins of each type respectively.
  1. 360, 240, 180
  2. 320, 260, 140
  3. 340, 220, 160
  4. 300, 280, 200
  5. None of these
  1. If the radius and heights of two cylinders are in the ratio of 5: 6 and 2: 5 respectively, then find the ratio of volume of two cylinders?
  1. 6 : 17
  2. 8 : 15
  3. 5 : 18
  4. 7 : 19
  5. None of these
  1. 7 years ago, the ratio of age of P and Q is 4: 5. The present age of P is equal to the age of Q, 7 years ago. Find the sum of age of P and Q, 5 years hence?
  1. 76 years
  2. 87 years
  3. 82 years
  4. 74 years
  5. None of these
  1. A, B and C started a business by investing Rs. 7500, Rs. 8200 and Rs. 9400 respectively. After 7 months, C withdraw the full amount and A and B invested Rs. 500 and Rs. 800 more respectively. Find the share of C, if the total profit at the end of the year is Rs. 36498?
  1. Rs. 7644
  2. Rs. 8236
  3. Rs. 9212
  4. Rs. 8678
  5. None of these

Directions (Q. 31-35): In each of these 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 no relation can be established between x and y
  1. I. 4x2 – 21x + 27 =0

II. 8y2 -14y -15 =0

  1. I. 63x2 -150x -57 =0

II. 3y2– 8y +4 =0

  1. I. 3x2 – 19x + 28 = 0

II. (256)1/4 y + (216)1/3 = 0

  1. I. 4/√x + 8/√x = √x

II. y2 = 75/2/ √y

  1. I. 6x2 -49x +99 =0

II. 5y2 +17y+ 14=0

Answers:

Direction (1-10)

1). Answer d

The pattern is, ÷ 4 + 2

The answer is, 10.25

2). Answer b

The answer is, 581

3). Answer c

The pattern is, *6 + 6, *5 + 5, *4 + 4, *3 + 3,.

The answer is, 20595

4). Answer e

The pattern is, *7 + 2

The answer is, 56023

5). Answer a

The pattern is, the difference of two numbers ÷ 2

The answer is, 2107

Directions (Q. 6 – 10)

6). Answer d

The oil imports from Saudi Arabia in the year 2013, 2015 and 2017

= > 25.5 + 28.8 + 32.6 = 86.9 million tonnes

The oil imports from Iran in the year 2014, 1015 and 2016

= > 17.5 + 18.6 + 21.2 = 57.3 million tonnes

Required % = (86.9/57.3)*100 = 151.65 % = 152 %

7). Answer a

The oil imports from Nigeria of all the given years

= > 11.3 + 12.4 + 15.6 + 16.9 + 17.1

= > 73.3 million tones

The oil imports from Iraq of all the given years

= > 17.5 + 18.4 + 16.3 + 19.5 + 21.7

= > 93.4 million tones

Required ratio = 73.3: 93.4 = 733: 934

8). Answer c

The total number of oil imports in 2016 for all the given countries

= > 30.4 + 19.5 + 21.2 + 16.9 + 6.7

= > 94.7 million tones

The total number of oil imports in 2017 for all the given countries

= > 32.6 + 21.7 + 23.9 + 17.1 + 10.6

= > 105.9 million tones

Required difference = 105.9 – 94.7 = 11.2 million tones

9). Answer b

Total number of oil imports from Iran for all the given years

= > 15.7 + 17.5 + 18.6 + 21.2 + 23.9

= > 96.9 million tones

Total number of oil imports from Iraq for all the given years

= > 17.5 + 18.4 + 16.3 + 19.5 + 21.7

= > 93.4 million tones

Required % = [(96.9 – 93.4)/93.4]*100 = 3.747 % = 4 % more

10). Answer a

Total number of oil imports from UAE for all the given years together

= > 7.3 + 8.1 + 9.5 + 6.7 + 10.6

= > 42.2 million tones

Required average = 42.2/5 = 8.44 million tones

Directions (Q. 11-15):

11). Answer d

90 + (280/4) – 151 = ∛x

90 + 70 – 151 = ∛x

9 = ∛x

X = 93 = 729

12). Answer c

182 ÷ 32 × 90 ÷ 5 =? – (552/4)

[(18*18)/(3*3)]*(90/5) = x – (552/4)

648 + 138 = x

X = 786 = 790

13). Answer e

80 % of 150 + 60 % of 50 = x

(80/100)*150 + (60/100)*50 = x

X = 120 + 30

X = 150

14). Answer a

√625 × 18 ÷ 15 =? – (17)2

25*(18/15) = x – 289

30 + 289 = x

X = 319 = 320

15). Answer b

(1/8)*120 + (1/5)*75 – x = 25

15 + 15 – 25 = x

X = 5

Direction: (16-20)                                                             

Number of products produced by company B= 700*130/100= 910

Company A:

Number of keyboards produced by company A= 700*20/100= 140

Number of monitors produced by company A= 700/4= 175

Number of mouse produced by company A= 23*700/100= 161

Number of cameras produced by company A= 700- (140+175+161) = 224

Company B:

Monitors= 480-175= 305

Mouse= 40*910/100= 364

Camera= 10*910/100= 91

Keyboard= 910-(305+364+91) = 150

Defective mouse produced by both the companies= 20*525/100= 105

Defective keyboard produced by company A= 140*40/100= 56

16). Answer b

Total cost of keyboard produced by company A= 450*140= Rs. 63000

Cost price of 56 keyboard= 56*450= Rs 25200

Loss incurred by selling defective keyboard= (450*10/100)*56= Rs 45*56= Rs. 2520

Cost price of remaining keyboard= 63000-25200= Rs. 37800

Selling price of remaining keyboard should be= 37800 + 2520= Rs. 40320

17). Answer c

Keyboard produced by company A= 140

Monitor produced by company B= 305

Difference in production= 305-140= 165

Required percentage= (165/305)*100 = 54%

18). Answer e

Revenue generated by company A by selling mouse

= 240*161*120/100

=Rs. 46368

Revenue generated by company B by selling mouse

= 300*364*120/100

= Rs. 131040

Required difference= 131040 – 46368= Rs. 84672

19). Answer b

Total defective mouse produced= 105

Defective mouse produced by company B= 105*(80/100) = 84

20). Answer a

Let the cost of keyboard produced by company B be x

Markup price= x*120/100 = 6x/5

Selling price= 6x/5 * 90/100 = 27x/25

Profit= 27x/25 – x = 2x/25

So,

2x/25= 2400

x= 2400*25/2= Rs. 30000

Total keyboard produced by company B = 150

Cost price of each keyboard = 30000/150= Rs. 200

Directions (Q. 21-25):

21). Answer c

Quantity I:

Total age of 28 students = 28*15 = 420

Total age of 28 students + 1 teacher = 29*16 = 464

The age of the teacher = 464 – 420 = 44 years

(Or)

Shortcut:

N       Average

28      15

29      16

The age of the teacher = (28 + 16) or (29 + 15) = 44 years

Quantity II:

5 years ago, the ratio of age of A and B = 4: 1(4x, x)

According to the question,

4x – x = 30

3x = 30

X = 10

The present age of A = 4x + 5 = 45 years

Quantity II > Quantity I

22). Answer a

Quantity I:

The share of A and B

= > 24000: 30000

= > 4: 5

9’s = 72000

1’s = 8000

The share of A = 4’s = Rs. 32000

Quantity II:

Let the initial investment of Q be x,

According to the question,

(12000/x) = (3/4)

X = Rs. 16000

Quantity I > Quantity II

23). Answer c

Quantity I:

The ratio of speed of two trains = 3: 5 (3x, 5x)

The speed of second train = 350/7 = 50 km/hr

5x = 50

X = 10

The speed of first train = 3x = 30 km/hr

Quantity II:

The speed of the train = 150/3 = 50 m/s = 50*(18/5) = 180 km/hr

Quantity II > Quantity I

24). Answer c

Quantity I:

The difference between the simple interest and compound interest for 2 years,

Diff = Sum*(r/100)2

121.50 = Sum*(9/100)2

(121.50*100*100)/81 = Sum

Sum = Rs. 15000

Quantity II:

S.I = Pnr/100

5400 = (P*5*6)/100

(5400*100)/30 = P

Principle = Rs. 18000

Quantity II > Quantity I

25). Answer a

Quantity I:

Let the distance be x,

According to the question,

T = D/S

(x/2)/15 + (x/2)/18 = 11

x/30 + x/36 = 11

66x/(30*36) = 11

X = 180 km

The distance covered by him is 180 km

Quantity II:

Let the train length be x,

14.4 = (x + x)/[(40 + 35)*(5/18)]

14.4 = (2x*18)/(75*5)

(14.4*75*5)/36 = x

X = 150 m

Quantity I > Quantity II

26). Answer: d

Total work= 24*12 = 288 work

6 days work= 24*6 = 144 work

Remaining work= 288 – 144 = 144 work

Required days = 144/18 = 8 days

27). Answer: a

The ratio of the 50p, 25p, 10p coins be 6x, 4x and 3x

6x*(50/100) + 4x*(25/100) + 3x*(10/100) = 258

6x/2 + 4x/4 + 3x/10 = 258

(60x + 20x + 6x) /20 = 258

x = 60

Hence the numbers of coins are,

50p = 6 × 60 = 360

25p = 4 × 60 = 240

10p = 3 × 60 = 180

The answer is, (360, 240, 180)

28). Answer: c

Volume of cylinder = πr2h

The ratio of volume of two cylinders

= > [(22/7)*(5x)2 *(2y)] : [(22/7)*(6x)2 * (5y)]

= > 5: 18

29). Answer: b

7 years ago, the ratio of age of P and Q = 4 : 5(4x, 5x)

The present age of P = The age of Q, 7 years ago

4x + 7 = 5x

5x – 4x = 7

X = 7

The present age of P and Q = 4x + 7, 5x + 7 = 35, 42

Required sum = 35 + 42 + 10 = 87 years

30). Answer: c

The share of A, B and C

= > [7500*7 + 8000*5]: [8200*7 + 9000*5]: [9400*7]

= > 92500: 102400: 65800

= > 925: 1024: 658

Total profit = Rs. 36498

2607’s = 36498

1’s = (36498/2607) = 14

The share of C = 658*14 = Rs. 9212

Directions (Q. 31-35):

31). Answer: e

I. 4x2 – 21x + 27 =0

4x2 – 12x – 9x + 27 =0

4x(x-3) -9 (x-3) =0

(4x-9) (x-3) =0

X=9/4 , 3 = 2.25, 3

II. 8y2 -14y -15 =0

8y2 -20y +6y -15 =0

4y(2y-5) +3(2y-5) = 0

(4y+3) (2y-5) =0

Y= -3/4, 5/2 = -0.75, 2.5

Can’t be determined

32). Answer: e

I. 63x2 -150x -57 =0

63x2 +21x -171x-57 =0

21x(3x+1)-57(3x+1)=0

(21x-57)(3x+1) =0

X=57/21, -1/3 = 2.71, -0.33

II. 3y2– 8y +4 =0

3y2– 6y-2y +4 =0

3y(y-2)-2 (y-2)=0

(3y-2) (y-2) =0

Y=2/3, 2 = 0.66, 2

Can’t be determined

33). Answer: a

I. 3x2 – 19x + 28 = 0

3x2 – 12x – 7x + 28 = 0

3x (x – 4) – 7 (x – 4) = 0

(x – 4) (3x – 7) = 0

x = 4, 7/3

II. (256)1/4 y = – (216)1/3

(44)1/4 y = – (63)1/3 ; 4y = -6

Y = -(6/4) = -1.5

x>y

34). Answer: a

I. 4/√x + 8/√x = √x

12/√x = √x

12= x

II. y2 = 75/2/ √y

Y2 × y1/2 = 75/2

Y2+(1/2) = 75/2

Y5/2 = 75/2

Y=7

x>y

35). Answer: a

I. 6x2 -49x +99 =0

6x2 -27x-22x +99 =0

3x(2x-9)-11(2x-9) =0

(3x-11)(2x-9) =0

X= 11/3, 9/2

II. 5y2 +17y+ 14=0

5y2 +10y+7y+ 14=0

5y(y+2)+7 (y+2) =0

(5y+7)(y+2) =0

Y= -7/5, -2

X>y

This post was last modified on June 26, 2018 5:16 pm

6 years ago

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