“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-83

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“20-20” Aptitude Questions | Crack SBI Clerk / IDBI Executive 2018 Day-83

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

  1. 12, 27, 59, 125, ? , 529
  1. 178
  2. 313
  3. 259
  4. 378
  5. 401

 

  1. 1458, 486, 162, 54,? , 6
  1. 18
  2. 27
  3. 36
  4. 24
  5. 12

 

  1. 58, 56, 65, 37, ?
  1. 129
  2. 135
  3. 83
  4. 102
  5. 146

 

  1. 267, 133, 66, 32.5, ? , 7.375
  1. 5
  2. 75
  3. 25
  4. 5
  5. 75

 

  1. 42, 22, 23, 35.5, 72, 181,?
  1. 544
  2. 438
  3. 676
  4. 592
  5. 628

 

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

  1. (17)5.6 × (1/4913) ÷ (289)-2.1 = (√17)?
  1. 2
  2. 6
  3. 8
  4. 4
  5. None of these

 

  1. 1475 ÷ 25 + 102 × 98 – (27)2 =?
  1. 8754
  2. 7365
  3. 6892
  4. 9326
  5. None of these

 

  1. 13824 – 24389 % of 290 + 373248 % of 750 = ?
  1. 3
  2. 5
  3. 9
  4. 1
  5. None of these

 

  1. 7 1/7 – 8 3/5 + 2 1/3 – 4 2/5 = x – 6 2/3
  1. 4 2/9
  2. 3 1/7
  3. 5 1/9
  4. 6 3/7
  5. None of these

 

  1. 200 × 75 – 32 × 63 + 12 × 169 = x – 27
  1. 15039
  2. 18364
  3. 17257
  4. 22453
  5. None of these

 

  1. Rajesh can do a work in 36 days. He works alone for 8 days and Yuva alone finishes the remaining work in 21 days. Both of them together can complete the work in?
  1. 15 3/7 days
  2. 13 2/5 days
  3. 16 ¼ days
  4. 18 ½ days
  5. None of these

 

  1. A and B invested in the ratio of 7: 9. The profits are divided in the ratio of 2: 3. If A has invested for 6 months, then B invested for?
  1. 5 months
  2. 8 months
  3. 7 months
  4. 6 months
  5. None of these

 

13. The present age of Raji is equal to Vasu’s age 15 years hence. 5 years ago, the ages of Vasu and Raji is in the ratio of 5: 8. Find Vasu’s Present age?

  1. 32 years
  2. 27 years
  3. 24 years
  4. 30 years
  5. None of these

 

  1. There are three persons A, B and C. A invested 20% more than that of B and C invested 40% more than that of B. If the difference between the investment of A and C is Rs. 4000 than find the investment of A
  1. 36000
  2. 24000
  3. 30000
  4. 28000
  5. None of these

 

  1. A box contains 7 Pink balls, 5 white balls, 6 black balls. If three balls are drawn out random, then the probability that at least one ball is black?
  1. 149/204
  2. 131/178
  3. 74/151
  4. 93/256
  5. None of these

 

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

Following table shows the no of start-ups registered (In hundreds) in four different countries in different years

Country 2010 2011 2012 2013 2014 2015 2016
India 35 45 56 61 76 78 83
China 42 56 64 71 66 72 77
America 51 53 66 74 82 90 88
UK 43 52 68 72 80 86 89

 

  1. In which country, the average no of registered start-ups is maximum?
  1. India
  2. America
  3. China
  4. UK
  5. India and America

 

  1. Total no of start-ups registered in America in the year 2011, 2013, 2015 together is approximately what percentage more/less than the total no of start-ups registered in UK in the year 2010, 2012 and 2014 together?
  1. 26 %
  2. 32 %
  3. 14 %
  4. 8 %
  5. 22 %

 

  1. Find the ratio between the total no of start-ups registered in the year 2011 and 2013 together to that of total no of start-ups registered in the year 2014 and 2016 together in all the given states?
  1. 356 : 557
  2. 287 : 683
  3. 484 : 641
  4. 412 : 589
  5. None of these

 

  1. Find the difference between the total no of start-ups registered in India and UK in all the given years together?
  1. 5600
  2. 6300
  3. 4800
  4. 3200
  5. None of these

 

  1. Total no of start-ups registered in the year 2013 and 2015 in India, UK and China together is approximately what percentage of total no of start-ups registered in the year 2011 and 2016 in UK, China and America together?
  1. 93 %
  2. 82 %
  3. 106 %
  4. 119 %
  5. None of these

 

Answers:  

Directions (Q. 1 – 5):

  1. Answer c

The pattern is, *2 +3, *2 +5, *2 +7, *2 + 9, *2 + 11…

The answer is, 259

(Or)

The difference of difference in the following series is 17, 34, 68, 136…

 

  1. Answer a

The pattern is, ÷ 3

The answer is, 18

 

  1. Answer d

The pattern is, – (13 + 1), + (23 + 1), – (33 + 1), + (43 + 1)….

The answer is, 102

 

  1. Answer b

The pattern is, ÷ 2 – 0.5

The answer is, 15.75

 

  1. Answer a

The pattern is, *0.5 + 1, *1 +1, *1.5 +1, *2 +1, *2.5 +1, *3 +1…

The answer is, 544

 

Directions (Q. 6 – 10):

  1. Answer b

(√17)11.2 × (√17)-6 ÷ (√17)-8.4 = (√17)?

(√17)11.2 – 6 + 8.4 = (√17)x

(√17)13.6 = (√17)x

X = 13.6

 

  1. Answer d

(1475/25) + 102 × 98 – (27)2 = x

X = 59 + 9996 – 729

X = 9326

 

  1. Answer c

∛13824 – ∛24389 % of 290 + ∛373248 % of 750 = ?

24 – (29 % of 290) + (72 % of 750) = x

24 – (29/100)*290 + (72/100)*750 = x

X = 24 – 84.1 + 540

X = 479.9

 

  1. Answer b

(7- 8 + 2 – 4 + 6)(1/7 – 3/5 + 1/3 – 2/5 + 2/3) = x

X = 3 [1/7 -1+1]

X = 3 (1/7)

 

  1. Answer a

200 × 75 – 32 × 63 + 12 × 169 = x – 27

15000 – 2016 + 2028 + 27 = x

X = 17055 – 2016

X = 15039

 

  1. Answer a

Rajesh’s one day work = (1/36)

Rajesh’s 8 day work = (8/36) = 2/9

Remaining work = 1- 2/9 = 7/9

(7/9)*Yuva’s whole work = 21

Yuva’s whole work = 21*(9/7) = 27

Yuva’s one day work = 1/21

(Rajesh + Yuva)’s one day work = (1/36) + (1/27)

= > (27 + 36)/ (36*27)

= > 7/108

(Rajesh + Yuva)’s whole work = 108/7 = 15 3/7 days

 

  1. Answer c

The investment ratio of A and B = 7: 9

The profits ratio = 2: 3

According to the question,

(2/3) = (7x*6)/(9x*y)

Y= 7 months

 

  1. Answer d

The present age of Raji = Vasu’s age 20 years hence

5 years ago, Vasu and Raji = 5: 8(5x, 8x)

Present age of Vasu and Raji = 5x + 5, 8x + 5

According to the question,

8x + 5 = 5x + 5 + 15

8x – 5x = 15

3x = 15

X = 5

Vasu’s present age = 5x +5 = 25 + 5 = 30 years

 

  1. Answer b

Let the let the money invested by B be x

Money invested by A= x*120/100= 6x/5

Money invested by C= x*140/100= 7x/5

So,

7x/5 – 6x/5= 4000

x/ 5=4000

x= Rs 20000

So,

Money invested by A= 20000*120/100= Rs. 24000

 

  1. Answer a

Total probability = 18C3

Probability (None is black) = 12C3

P(E) = 12C3/18C3 = 55/204

Required probability = 1 – none is black = 1 – (55/204)

= >149/204

 

Directions (Q. 16 – 20)

  1. Answer b

In India = (35 + 45 + 56 + 61 + 76 + 78 + 83)/7 hundred = 43400/7 = 6200

In China = (42 + 56 + 64 + 71 + 66 + 72 + 77)/7 hundred = 44800/7 = 6400

In America = (51 + 53 + 66 + 74 + 82 + 90 + 88)/7 hundred = 50400/7 = 7200

In UK = (43 + 52 + 68 + 72 + 80 + 86 + 89)/7 hundred = 49000/7 = 7000

The average no of registered start-ups maximum in America.

 

  1. Answer c

The total no of start-ups registered in America in the year 2011, 2013, 2015 together

= > 5300 + 7400 + 9000 = 21700

The total no of start-ups registered in UK in the year 2010, 2012 and 2014 together

= > 4300 + 6800 + 8000 = 19100

Required % = [(21700 – 19100)/19100]*100

= > (2600/19100)*100 = 13.61 % = 14 %

 

  1. Answer c

The total no of start-ups registered in the year 2011 and 2013 together

= > (45 + 56 + 53 + 52 + 61 + 71 + 74 + 72) hundred

= > 48400

The total no of start-ups registered in the year 2014 and 2016 together in all the given states

= > (76 + 66 + 82 + 80 + 83 + 77 + 88 + 89) hundred

= > 64100

Required ratio = 48400: 64100 = 484: 641

 

  1. Answer a

The total no of start-ups registered in India

= > (35 + 45 + 56 + 61 + 76 + 78 + 83) hundred

= > 43400

The total no of start-ups registered in UK

= > (43 + 52 + 68 + 72 + 80 + 86 + 89) hundred

= > 49000

Required difference = 49000 – 43400 = 5600

 

  1. Answer c

Total no of start-ups registered in the year 2013 and 2015 in India, UK and China together

= > (61 + 72 + 71 + 78 + 86 + 72) hundred

= > 44000

Total no of start-ups registered in the year 2011 and 2016 in UK, China and America together

= > (52 + 56 + 53 + 89 + 77 + 88) hundred

= > 41500

Required % = (44000/41500)*100 = 106.02 % = 106 %

 

 

 

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