“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-76

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“20-20” Aptitude Questions | Crack SBI Clerk / IDBI Executive 2018 Day-76

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  1. P, Q and R entered into a partnership by investing an amount of Rs. 45000, Rs. 60000 and Rs. 55000 respectively. After 3 months P invested (1/5)th of initial investment more and Q invested 10000 more. And after 3 months R withdraw 5000. Find R’s share, if the total profit at the end of 12 month is Rs. 114500?
  1. 45000
  2. 35000
  3. 50000
  4. 30000
  5. None of these

 

  1. Difference between Simple interest and Compound interest on a certain sum at the rate of 20% per annum for two years is Rs. 2875. Find the simple interest on that sum at the rate of 14% per annum after 8 years.
  1. 80500
  2. 72000
  3. 65500
  4. 56000
  5. None of these

 

  1. 10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was?
  1. 31000
  2. 28000
  3. 25000
  4. 36000
  5. None of these

 

  1. A shopkeeper sold an article at 15 % discount on marked price and he gains 25%. If the marked price of the article is Rs. 5000, then find the cost price
  1. 4200
  2. 3600
  3. 3000
  4. 3400
  5. None of these

 

  1. A certain number of men complete a piece of work in 75 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?
  1. 48
  2. 52
  3. 44
  4. 38
  5. None of these

 

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

  1. ? % of (√168.98) × 34.91 + 389.98 = 452.78
  1. 14
  2. 21
  3. 18
  4. 24
  5. 27

 

  1. 3709 ÷ 14 + 35.67 × 15.21 =? + (11.78)2
  1. 590
  2. 610
  3. 660
  4. 720
  5. 560

 

  1. (698 × 13.01) ÷ √675.78 =? – (5.89)2
  1. 295
  2. 320
  3. 450
  4. 385
  5. 410

 

  1. 71.98 % of 899.19 + 546.01 + (19.11)2 =?
  1. 1870
  2. 1555
  3. 1635
  4. 1725
  5. 1920
  1. 7499 ÷ 299 × (8.89)2 + 7531.1 =?
  1. 8720
  2. 7953
  3. 9556
  4. 8432
  5. 9187

 

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

  1. 54, 54, 108, 36, 144, ? , 172.8
  1. 6
  2. 8
  3. 4
  4. 2
  5. 6

 

  1. 312, 306, 286, 244, ? , 62
  1. 164
  2. 156
  3. 148
  4. 172
  5. 124

 

  1. 324, 339, 362, 401, ?
  1. 456
  2. 482
  3. 464
  4. 548
  5. 514
  1. 312, 156, 104, 78, ? , 52
  1. 4
  2. 2
  3. 8
  4. 6
  5. 2

 

  1. 111, 113, 125, 161, ? , 391
  1. 213
  2. 241
  3. 275
  4. 311
  5. 323

 

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

Following table shows the total no Cosmetics (In Lakhs) produced by five different companies in the year 2016 and 2017.

Company 2016 2017
  Total Rejected % Sold % Total Rejected % Sold %
A 36 3 % 68 % 24 3.5 % 59 %
B 27 4.5 % 72 % 37 5 % 65 %
C 42 7 % 71 % 45 6 % 63 %
D 21 9 % 89 % 32 8 % 78 %
E 46 2.5 % 70 % 28 7.5 % 84 %

 

  1. Find the total no of Rejected cosmetics in all the companies in the year 2016?
  1. 275 lakhs
  2. 375 lakhs
  3. 125 lakhs
  4. 725 lakhs
  5. None of these

 

  1. Total no of cosmetics sold by the companies B and C in the year 2016 is approximately what percentage more/less than the total no of cosmetics sold by the companies D and E in the year 2017?
  1. 14 %
  2. 8 %
  3. 10 %
  4. 4 %
  5. 9%

 

  1. Find the total no of cosmetic items sold by the companies A, C, E in the year 2016 and the companies B, C, E in the year 2017?
  1. 13125420
  2. 14784760
  3. 15412570
  4. 16112380
  5. None of these
  1. Find the difference between the total no of Cosmetics Produced by all the companies in the year 2016 to that of 2017?
  1. 6 lakhs
  2. 8 lakhs
  3. 12 lakhs
  4. 14 lakhs
  5. None of these
  1. Total no of cosmetics rejected by the companies B and C in the year 2017 is approximately what percentage of total no of cosmetics rejected by the companies D and E in the same year?
  1. 84 %
  2. 98 %
  3. 112 %
  4. 76 %
  5. None of these

 

Answers:

  1. Answer b

The share of P, Q and R is,

= > [45000*3 + 45000*(6/5)*9]: [60000*3 + 70000*9]: [55000*6 + 50000*6]

= > 621000: 810000: 630000

= > 69: 90: 70

Total profit = Rs. 114500

229’s = 114500

1’s = 500

The share of R = 70*500 = Rs. 35000

 

  1. Answer a

We know that difference between CI and SI for two years is

Diff = P*(r/100)2

=> 2875 = P*(20/100)2

=> 2875 = P*(1/5)2

=> 2875 = P*(1/25)

=> P = Rs. 71875

SI = (P*n*r)/100 = (71875 * 14 * 8)/100 = Rs. 80500

 

  1. Answer c

The successful candidate got 54% of the valid votes and won by a majority of 1620 votes.

(54 % – 46 %) of votes = 1620

8 % of votes = 1620

According to the question,

10 % voters didn’t cast their votes and 10 % of the votes are invalid. So,

= > (90/100)*(90/100)*(8/100)* total voters = 1620

= > Total voters = (1620*10*10*100) / (9*9*8) = 25000

 

  1. Answer d

Discount % = 15 %, Profit % = 25 %, MP = 5000

According to the question,

MP*(85/100) = CP*(125/100)

5000*(85/100)*(100/125) = CP

CP = Rs. 3400

 

  1. Answer b

Let the no of men be x,

Work = men*days

Here work is equal. So,

75*x = (x + 8)*65

75x = 65x + 520

10x = 520

X = 52

 

Directions (Q. 6 – 10):

  1. Answer a

Explanation:

(X/100)* (√169) * 35 + 390 = 453

(X/100)* 13 *35 = 453 – 390

91X/20 = 63

X = 63*20/90 = 14

 

  1. Answer c

(3710/14) + (36*15) = x + 122

265 + 540= x + 144

X = 265 + 540 – 144

X = 661 = 660

 

  1. Answer d

(698*13) / √676 = x – 62

(698*13) / 26 = x – 36

349 + 36 = x

X = 385

 

  1. Answer b

72 % of 900 + 546 + 192 = x

X = (72/100)*900 + 546 + 361

X = 648 + 546 + 361

X = 1555

  1. Answer c

(7500/300)*9 * 9 + 7531 = x

X = 2025 + 7531

X = 9556

 

Directions (Q. 11 – 15):

  1. Answer b

The pattern is, ÷ 1, × 2, ÷ 3, × 4,  ÷ 5,..

The answer is, 28.8

 

  1. Answer d

The pattern is, -(32 – 3), -(52 – 5), -(72 – 7), -(92 – 9), -(112 – 11),..

(Or) Third difference is 8, 8, 8…

(Or) The difference is 2*3, 4*5, 6*7, 8*9, 10*11…

The answer is, 172

  1. Answer c

The difference of difference is, 8, 16, 24,..

The answer is, 464

 

  1. Answer a

The pattern is, *1/2, *2/3, *3/4, *4/5, *5/6,..

The answer is, 62.4

 

  1. Answer b

The pattern is, +(12 + 13), +(22 + 23), +(32 + 33), +(42 + 43), +(52 + 53),..

The answer is, 241

 

Directions (Q. 16 – 20)

  1. Answer a

Total no of Rejected Cosmetics in all the companies in the year 2016

= > [36*(3/100) + 27*(4.5/100) + 42*(7/100) + 21*(9/100) + 46*(2.5/100)] lakhs

= > [1.08 + 1.215 + 2.94 + 1.89 + 1.15] lakhs

= > 8.275 lakhs

 

  1. Answer d

Total no of cosmetics sold by the companies B and C in the year 2016

= > 2700000*(95.5/100)*(72/100) + 4200000*(93/100)*(71/100)

= > 1856520 + 2773260

= > 4629780

Total no of cosmetics sold by the companies D and E in the year 2017

= > 3200000*(92/100)*(78/100) + 2800000*(92.5/100)*(84/100)

= > 2296320 + 2175600

= > 4471920

Required % = [(4629780 – 4471920)/ 4471920]*100

= > [157860/ 4471920]*100 = 3.53 %

= > 4 %

 

  1. Answer c

The total no of cosmetic items sold by the companies A, C, E in the year 2016

= > [36*(97/100)*(68/100) + 42*(93/100)*(71/100) + 46*(97.5/100)*(70/100)] lakhs

= > 2374560 + 2773260 + 3139500

= > 8287320

The total no of cosmetic items sold by the companies B, D, E in the year 2017

= > [37*(95/100)*(65/100) + 45*(94/100)*(63/100) + 28*(92.5/100)*(84/100)] lakhs

= > 2284750 + 2664900 + 2175600

= > 7125250

Total cosmetics = 8287320 + 7125250 = 15412570

 

  1. Answer a

The total no of Cosmetics Produced by all the companies in the year 2016

= > [36 + 27 + 42 + 21 + 46] lakhs

= > 172 lakhs

The total no of Cosmetics Produced by all the companies in the year 2017

= > [24 + 37 + 45 + 32 + 28] lakhs

= > 166 lakhs

Difference = 172 – 166 = 6 lakhs

 

  1. Answer b

Total no of cosmetics rejected by the companies B and C in the year 2017

= > 37*(5/100) + 45*(6/100)

= > 1.85 + 2.7 = 4.55 lakhs

Total no of cosmetics rejected by the companies D and E in the year 2017

= > 32*(8/100) + 28*(7.5/100)

= > 2.56 + 2.1 = 4.66 lakhs

Required % = (4.55/4.66)*100 = 97.63 % = 98 %

 

 

 

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Vocabulary (Based on The Hindu) 12.00 PM
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Reasoning Ability “20-20” 7.00 PM
English Language (New Pattern Questions) 8.00 PM
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