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

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**Click “Start Quiz” to attend these Questions and view Solutions**

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

**488, 124, 33,? , 4.5625**

- 12.75
- 15.25
- 18.50
- 10.25
- 17.75

**216, 231, 255, 304, 402,?**

- 656
- 581
- 724
- 552
- 613

**56, 342, 1715, 6864,?**

- 12342
- 18375
- 20595
- 24568
- 16760

**23, 163, 1143, 8003,?**

- 32056
- 38275
- 26552
- 42624
- 56023

**187, 1211, 1723, 1979, ? , 2171**

- 2107
- 2051
- 2133
- 2077
- 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?**

- 128 %
- 146 %
- 164 %
- 152 %
- 114 %

**Find the ratio of oil imports from Nigeria to that from Iraq all over the years?**

- 733 : 934
- 815 : 1028
- 657 : 824
- 513 : 752
- None of these

**Find the difference between the total number of oil imports in 2016 and that in 2017, for all the given countries?**

- 15.6 million tones
- 18.4 million tones
- 11.2 million tones
- 14.8 million tones
- None of these

**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?**

- 10 % more
- 4 % more
- 7 % less
- 12 % less
- 15 % more

**Find the average number of oil imports from UAE for all the given years together?**

- 8.44 million tones
- 7.52 million tones
- 11.6 million tones
- 12.8 million tones
- None of these

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

**90.05 + 281 ÷ 4 – 151.21 =****∛****x**

- 512
- 343
- 1000
- 729
- 216

**(17.98)**^{2}**÷ (3.05)**^{2}× 90.11 ÷ 5.01 =? – 551 ÷ 3.98

- 830
- 720
- 790
- 880
- 940

**80.12 % of 149.98 + 59.98 % of 50 =?**

- 200
- 225
- 175
- 125
- 150

**√628 × 18.01 ÷ 15.11 =? – (16.89)**^{2}

- 320
- 390
- 430
- 480
- 270

**(1/8) × 121 + (1/5) × 76 – ? = 25**

- 12
- 5
- 18
- 9
- 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.

**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?**

- Rs. 20150
- Rs. 40320
- Rs. 55123
- Rs. 30120
- Rs. 60560

**Total number of keyboards produced by company A is approximately what percentage less than the total number of monitor produced by company B?**

- 42 %
- 65 %
- 54 %
- 73 %
- 38 %

**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?**

- 20400
- 40150
- 55123
- 30560
- 84672

**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?**

- 76
- 84
- 62
- 68
- 70

**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?**

- 200
- 400
- 550
- 300
- 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.**

**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

**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

**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

**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?

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

**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

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** **

**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?**

- 12 days
- 14 days
- 10 days
- 8 days
- None of these

**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.**

- 360, 240, 180
- 320, 260, 140
- 340, 220, 160
- 300, 280, 200
- None of these

**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?**

- 6 : 17
- 8 : 15
- 5 : 18
- 7 : 19
- None of these

**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?**

- 76 years
- 87 years
- 82 years
- 74 years
- None of these

**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?**

- Rs. 7644
- Rs. 8236
- Rs. 9212
- Rs. 8678
- 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,**

- if x > y
- if x ≥ y
- if x < y
- if x ≤ y
- if x = y or no relation can be established between x and y

**I.**4x^{2}– 21x + 27 =0

II. 8y^{2} -14y -15 =0

**I.**63x^{2}-150x -57 =0

II. 3y^{2}– 8y +4 =0

**I.**3x^{2}– 19x + 28 = 0

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

**I.**4/√x + 8/√x = √x

II. y^{2} = 7^{5/2}/ √y

**I.**6x^{2}-49x +99 =0

II. 5y^{2} +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 = 9^{3} = 729

**12). Answer c**

18^{2} ÷ 3^{2} × 90 ÷ 5 =? – (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 = πr^{2}h

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. 4x^{2} – 21x + 27 =0

4x^{2} – 12x – 9x + 27 =0

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

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

X=9/4 , 3 = 2.25, 3

II. 8y^{2} -14y -15 =0

8y^{2} -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. 63x^{2} -150x -57 =0

63x^{2} +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. 3y^{2}– 8y +4 =0

3y^{2}– 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. 3x^{2} – 19x + 28 = 0

3x^{2} – 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}

(4^{4})^{1/4} y = – (6^{3})^{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. y^{2} = 7^{5/2}/ √y

Y^{2} × y^{1/2} = 7^{5/2}

Y^{2+(1/2)} = 7^{5/2}

Y^{5/2} = 7^{5/2}

Y=7

x>y

**35). Answer: a**

I. 6x^{2} -49x +99 =0

6x^{2} -27x-22x +99 =0

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

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

X= 11/3, 9/2

II. 5y^{2} +17y+ 14=0

5y^{2} +10y+7y+ 14=0

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

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

Y= -7/5, -2

X>y