“20-20” Quantitative Aptitude | Crack SBI Clerk 2018 Day-19

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“20-20” Aptitude Questions | Crack SBI Clerk 2018 Day-19

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Direction: (Q1 – Q5) Study the following information carefully and answer the questions given below:

The following table represents time taken (in hours) by different pipes to fill a cistern. Some values are missing.

Q1. If A and C kept open for 4 hours then A is replaced by D and kept open for 5 more hours, the tank is filled. In how many hours pipe C alone can fill the cistern?

  1. 27/4 hours
  2. 27/2 hours
  3. 25/4 hours
  4. 23/2 hours
  5. none of these

Q2. Two pipes D and E are opened simultaneously to fill the cistern. After how much time should D is closed so that E alone can fill the cistern in another 20 hours?

  1. 8 hours
  2. 14 hours
  3. 12 hours
  4. 10 hours
  5. none of these

Q3. If C takes half of the time taken by F to fill the cistern and F takes half of the time taken by B to fill the cistern and all of them working together can fill the cistern in 48 hours, What is the time taken by F to fill the cistern?

  1. 152 hours
  2. 142 hours
  3. 186 hours
  4. 168 hours
  5. none of these

Q4. Two pipes A and D can fill the cistern. If they are opened on alternate hours and if pipe A is opened first, in how many hours will the cistern be full?

  1. 24(3/5) hours
  2. 26(3/5) hours
  3. 26(3/4) hours
  4. 25(3/4) hours
  5. none of these

Q5. If B can fill the tank in 12 hours and pipe A works with one third of its efficiency, In how much time both the pipes can fill the cistern?

  1. 72/7 hours
  2. 76/7 hours
  3. 72/5 hours
  4. 73/5 hours
  5. none of these

6) Two pipes M and N can fill a cistern in 24 min and 32 min respectively. If both pipes are opened together, then after how many minutes N should be closed so that the tank is full in 18 minutes?

  1. 6
  2. 10
  3. 8
  4. 21
  5. None of these

7) A shop keeper sold a TV set for Rs. 17940 with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain percentage?

  1. 25
  2. 30
  3. 35
  4. 26.4
  5. None of these

8) Since price of the Banana goes down by 20% a man can now buy 2 bananas more in 40 Rs. What was the original price of one banana?

  1. 25
  2. 24
  3. 23.5
  4. 26
  5. None of these

9) A man driving his bike at 24kmph reaches his office 5 minutes late. Had he driven 25% faster on an average he would have reached 4 minutes earlier than the scheduled time. How far is his office?

  1. 24km
  2. 72km
  3. 18km
  4. 56km
  5. None of these

10)  40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is 390rs. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?

  1. 390
  2. 405
  3. 408
  4. 415
  5. None of these

Directions (Q. 11-15): what should come in place of question mark in the following number series?

11). 12, 19, 35, 59, 90, ?

  1. 125
  2. 127
  3. 136
  4. 126
  5. None of these

12). 4, 10, 27, 112, 555, ?

  1. 3326
  2. 3330
  3. 3336
  4. 3236
  5. 2336

13). 16, 25, 40, 62, 92, ?

  1. 100
  2. 101
  3. 110
  4. 109
  5. 99

14). 19, 23, 14, 30, 5, ?

  1. 41
  2. 31
  3. 35
  4. 36
  5. 42

15). 15, 22, 36, 64, ?, 232

  1. 110
  2. 100
  3. 80
  4. 90
  5. 120

Directions (Q. 16-20): What approximate value should come in place of question mark in the following questions? (you are not expected to calculate the exact value)

16). [ (√530 × 36.003) ÷ 47.987] × ? = 5863.10376

  1. 640
  2. 750
  3. 340
  4. 360
  5. 680

17). (77.987 % of 358) + (68.55% of 729) = ?

  1. 780
  2. 705
  3. 840
  4. 825
  5. 695

18). √624.995 + (4.9989)2 = ? ÷ (1 / 4.9900865)

  1. 18
  2. 34
  3. 44
  4. 10
  5. 25

19). 989.001 + 1.00982 × 76.792 = ?

  1. 1150
  2. 1066
  3. 1240
  4. 1188
  5. 1044

20). 63.9872 × 9449.8780 ÷ 243.003 = (?)2

  1. 60
  2. 75
  3. 90
  4. 40
  5. 50

Answers:

Direction: (Q1 – Q5)

Q1.  Answer: b

let C takes X hours to fill the cistern.

According to the question:

4/24 + 4/x + 5/x + 5/30 = 1

=> 1/6 + 9/x + 1/6 = 1

=> 2/6 + 9/x = 1

=> 1/3 + 9/x = 1

=> 9/x = 1-1/3

=> 9/x = 2/3

=> x = 27/2 hours

Hence, C can alone fill the cistern in 27/2 hours.

Q2.  Answer: d

let D should be closed after x hours.

x/30 + x/45 + 20/45 = 1

=> (3x+2x)/90 = 1-20/45

=> 5x/90 = (45-20)/45

=> x/18 = 25/45

=> x = 10 hours.

Hence, D should be closed after 10 hours.

Q3.  Answer: d

let time taken by B to fill the cistern = 4x hours

hence, time taken by F to fill the cistern = 2x hours

and time taken by C to fill the cistern = x hours

according to the question:

48/x + 48/2x + 48/4x = 1

=> (192 + 96 + 48)/4x = 1

=> 4x = 336

=> x = 336/4

=> x = 84 hours.

Hence, time taken by F to fill the cistern = 2 x 84 = 168 hours.

Q4.  Answer: b

Part of the tank filled in 2 hours = 1/24 + 1/30 = 3/40

=>part of the tank filled in 2 x 13 hours = 3 x 13/40 = 39/40

Remaining part = 1 – 39/40 = 1/40

Since A is opened first, time taken by A to fill 3/120 part:

X/24 = 1/40

=> x = 3/5

Hence total time = 2 x 13 + 3/5 = 26(3/5) hours.

Q5. Answer: a

let both the pipes can fill the cistern in x hours.

According to the question:

x/12 + x/(24* 3) = 1

=> x/12 + x/72= 1

=> (6x + x)/72 = 1

=> 7x/72 = 1

=> x = 72/7 hours.

6) Answer: (c)

Consider M & N pipes opened together for x min

M——24min         total work

N——-32min             96 units

Efficiency of M is 4

Efficiency of N is 3

7x+4(18-x) = 96

X = 8 minutes

7) Answer: (b)

SP=17940

d%=8%

Therefore Marked Price (MP)=17940 x 100/92=19500

P% = 19.6%

CP=17940 x 100/119.6 = 15000

If no discount allowed on MP then SP=19500

P% = 4500 x 100/15000 = 30%

8) Answer: (a)

2 Bananas 40 Rs

1 banana 20 Rs

(80/100)X = 20

X= 25

Original price for 1 banana = Rs. 25

9) Answer: (c)

Let x km be the distance

Time1 = x/24 hrs

While travelling at 25% faster speed

24 + 25% 24 = 30 kmph

Time2= x/30 hrs

Total time difference 9 minutes

x/24 –x/30= 9

x = 18km

10)  Answer: (c)

Let total No. of employees be 100

(40 x 390 + 60 x 420)/100 =  408 Rs

 

Directions (Q. 11-15):

11). Answer d

Difference of Difference +9, +8, +7….

12). Answer c

X2+2, x3-3, x4-4…

Answer= 3336

13). Answer b

Difference of difference is 6, 7, 8, 9,..

14). Answer a

Diff +22 , -32, +42 ….

15). Answer e

Difference +7, +14, +28, +56…

 

Directions (Q. 16-20):

16). Answer  C)

[( √530 x 36.003) ÷ 47.987] x ? = 5863.10376

? = 5863 / [( √529 x 36) ÷ 48] = 5863 / [(23 × 36) ÷ 48] = 340

17). Answer A)

? = (77.987% of 358) + (68.55% of 729)

? = [(78/100) × 358] + [(69/100) × 725]

= 280 + 500 = 780

18). Answer D)

√624.995 + (4.9989)2

= ? ÷ (1 / 4.9900865)

or, √625 + (5)2= ? ÷ (1/5)

? = 1/5 (25 + 25) = 10

19). Answer B)

? = 989.001 + 1.00982 × 76.792

= 990 + 1 x 76.8 = 1066= 1066

20). Answer e)

(?)2= 63.9872 x 9449.8780 ÷ 243.0034

= 64 x 9450 ÷ 243 = 64 x 39 = 2496

Now, (?)2 = 2496

? = 50

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