“20-20” Quantitative Aptitude | Crack Dena bank 2018 Day-101

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Directions (Q. 1 – 5) 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?

a) Rs. 20150

b) Rs. 40320

c) Rs. 55123

d) Rs. 30120

e) Rs. 60560

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

a) 42 %

b) 65 %

c) 54 %

d) 73 %

e) 38 %

3. 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?

a) 20400

b) 40150

c) 55123

d) 30560

e) 84672

4. 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

5. 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?

a) 200

b) 400

c) 550

d) 300

e) 600

Directions (Q. 6 – 10): The following questions are accompanied by three statements I, II and III. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-

6. What is the speed of the train ‘A’?

1. Train A crosses 120meter long train B running in opposite direction in 15 seconds.
2. Speed of train B is 72 km/hr.
3.  Length of train A is thrice that of train B.

a) If statement I and III are necessary

b) If III and either I or II are necessary

c) If I and either II or III are necessary

d) If any two of I, II and III are necessary

e) If all statements together are necessary

7. A person travels by car from place M to N and from N to M. How long will it take to travel from M to N by train if the speed of the train is 30% more than the speed of the car?

1. It takes 13 hours in travelling from M to N by car.
2. The distance between the two places is 650km.
3. If he travels by bus he takes 6 hours more.

a) If I alone is sufficient

b) If III and either I or II are sufficient

c) If I and either II or III are sufficient

d) If any two of I, II and III are sufficient

e) If all statements together are necessary

8. What is the ratio of boys and girls in the school?

1. There are 900 students in the school.
2. The number of boys in the school is 20% more than that of girls.
3. The number of girls in the school is 100 less than that of boys.

a) If either I or II is sufficient

b) If III and either I or II are sufficient

c) If I and III together or II alone is sufficient

d) If any two of I, II and III are sufficient.

e) If all statements together are necessary

9. How long will it take for A, B and C to complete the work together?

1. A and B complete a work in 10 days
2. B and C together complete the same piece of work in 15 days.
3.  A and C together complete the same piece of work in 20 days.

a) If either I or II is sufficient

b) If III and either I or II are sufficient

c) If I and either II or III are sufficient

d) If any two of I, II and III are sufficient.

e) If all statements together are necessary

10. A shopkeeper purchased an article for Rs 300 and incurred Rs 40 for transportation. Find the profit earned by the shopkeeper.

1. The shopkeeper marked up price of the article by 30%.
2. 15% discount was allowed by the shopkeeper.
3. He marked the price of the article at Rs 442.

a) If either I or II is sufficient

b) If III and either I or II are sufficient

c) If I and either II or III are sufficient

d) If any two of I, II and III are sufficient.

e) None of these

11. A man rows to a place 60 km distance and come back in 8 hours. He finds that he can row 10 km with the stream in the same time as 6 km against the stream. The rate of the stream is?

1. 6 km/hr
2. 8 km/hr
3. 4 km/hr
4. 5 km/hr
5. None of these

12. From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a five or a Spade?

1. 4/13
2. ¾
3. 6/13
4. 21/52
5. None of these

13. P, Q and R started a business by investing in the ratio of 5: 4: 9. After 4 months, P invested 10% of his initial investment more and R withdraws Rs. 2000. Find the share of Q, if the total profit at the end of the year is Rs. 63200?

1. Rs. 23460
2. Rs. 25320
3. Rs. 19710
4. Rs. 17280
5. None of these

14. Raji got 32 % of marks in the examination and failed by 14 marks. Another student Preetha got 45 % of marks and got 12 more than the passing marks. Find the passing percentage in the examination?

1. 41 %
2. 39 %
3. 34 %
4. 36 %
5. None of these

15. 6 years hence, the ratio of age of P and Q is 5: 7. The difference between their ages is 10 years. The average present age of P, Q and R is 26 years. Find the ratio of the age of P, after 11 years to that of the age of R, 5 years ago?

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

Directions (Q. 16 – 20): 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

16. I. 5x² – 22x -15 = 0

II. 4y² – 24y – 13 = 0

17. I. 5x + 3y = -35

II. 7x + 2y = -38

18. I. 2x² + 19x + 45 = 0

II. y² – 17y + 72 = 0

19. I. x = √(20443- 4567)

II. y = ∛592704

20. I. x² – 9x – 252 = 0

II. y² – 6y – 187 = 0

Answers:

Solutions: (1-5)                                                                 

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

 

1). 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

2). 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%

3). 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

4). Answer b

Total defective mouse produced= 105

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

5). 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

 

6. Answer e

By using all the statement together

Speed of train B in m/s= 72*5/18= 20m/s

15= (120+ 360)/(20+ x)

= 300+ 15x= 480

= x= 480-300/15

= x= 12 m/s

Speed of train A in km/hr = 12*18/5= 43.2 km/hr

7). Answer a

From statement I:

Speed of the train = 130/100 * speed of the car

Train/Car = 13/10

Time ratio of train to car = 10: 13

Required time = 13/13*10 = 10 hours

8). Answer c

From II:

No of girls be x and boys 120/100*x

Boys: girls = 120: 100 = 6:5

From I and III:

Total = 900

Boys + Girls = 900

Boys + Boys – 100= 900

2 Boys = 1000

=>Boys = 500

Girls = 400

Ratio = 500: 400 = 5:4

The answer can be determined by using statement I and III together or II alone is sufficient to answer the given question

9). Answer e

From statement I, II, III

Total units of work= 120

A+ B one day work= 12 units

B+C one day work= 8 units

A + C one day work= 6 units

2(A+B+C) = 26 units

A+B+C= 13 units

Time required by A, B and C= 120/13 days

10). Answer e

From statement I and II

Marked up price of the article= 340*130/100= Rs 442

Selling price = 442*85/100= Rs 375.70

Profit= 375.70- 340= Rs 35.70

From II and III

The profit can be easily determined in the same way.

 

11). Answer c

Speed of downstream = 10/x
Speed of upstream = 6/x
60/(10/x) + 60/(6/x) = 8
X = 1/2
So, Speed of downstream = 20 km/hr, Speed of upstream = 12 km/hr
Rate of the stream = ½(Speed of downstream – Speed of upstream)

= > ½*(20 – 12)

= 1/2 * 8 = 4 km/hr

12). Answer a

Here n(S) = 52

There are 13 Spade cards (including one five) and also 3 more fives are there.

Let E = event of getting a five or a Spade

Then n(E) = 13+4 -1 = 13+3

n(E) = 16

Therefore P(E) = n(E) / n(S)

=16 / 52

P(E) = 4/13

13). Answer d

The share of P, Q and R

= > [5x*4 + (11x/2)*8]: [4x*12]: [9x*4 + (9x- 2000)*8]

= > 64x: 48x: 108x – 16000

Total profit = Rs. 63200

64x + 48x + 108x – 16000 = 63200

220x = 16000 + 63200

220x = 79200

X = 360

The share of Q = 48x = Rs. 17280

14). Answer b

Let the total marks be x,

Here passing mark is equal. So,

32 % of total marks + 14 = 45 % of total marks – 12

14 + 12 = (45 % – 32 %) of total marks

26 = 13 % of total marks

(13/100)*x = 26

X = 26*(100/13) = 200

Pass mark = (32/100)*200 + 14 = 64 + 14 = 78

Pass % = (78/200)*100 = 39 %

15). Answer a

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

The difference between their age = 10 years

7x – 5x = 10

2x = 10

X = 5

The present age of P and Q = 5x – 6, 7x – 6 = 19, 29

The average present age of P, Q and R = 26 years

Total present age of P, Q and R = 26*3 = 78

P + Q + R = 78

19 + 29 + R = 78

R = 78 – 48 = 30

Required ratio = 30: 25 = 6: 5

 

Direction (16-20)

16). Answer e

I. 5x² – 22x -15 = 0

5x² – 25x + 3x -15 = 0

5x(x – 5) + 3(x – 5) = 0

(5x + 3) (x – 5) = 0

X = -3/5, 5 = -0.6, 5

II. 4y² – 24y – 13 = 0

4y² + 2y – 26y – 13 = 0

2y (2y + 1) – 13(2y + 1) = 0

(2y – 13) (2y + 1) = 0

Y = 13/2, -1/2 = 6.5, -0.5

Can’t be determined

17). Answer a

5x + 3y = -35 –> (1)

7x + 2y = -38 –> (2)

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

x = – 4, y = -5

x > y

18). Answer c

I. 2x² + 19x + 45 = 0

2x² + 10x+ 9x + 45 = 0

2x(x + 5) + 9 (x + 5) = 0

(2x + 9) (x + 5) = 0

X = -9/2, -5 = -4.5, -5

II. y² – 17y + 72 = 0

y² – 8y – 9y + 72 = 0

y(y – 8) – 9(y – 9) = 0

(y – 8) (y – 9) = 0

Y = 8, 9

X < y

19). Answer a

I. x = √(20443- 4567)

X = √15876 = 126

II. y = ∛592704

Y = 84

X > y

20). Answer e

I. x² – 9x – 252 = 0

x² + 12x – 21x – 252 = 0

x ( x + 12) – 21(x + 12) = 0

(x – 21) (x + 12) = 0

X = 21, -12

II. y² – 6y – 187 = 0

y² + 11y – 17y – 187 = 0

y (y + 11) – 17(y+ 11) = 0

(y – 17) (y + 11) = 0

Y = 17, -11

Can’t be determined

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