“20-20” Quantitative Aptitude | Crack SBI PO Prelims 2018 Day-105

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“20-20” Aptitude Questions | Crack Dena Bank 2018 Day-105

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

  1. 96, 48, 72, 180, 630, 2835,?
  1. 17824.5
  2. 15592.5
  3. 24566
  4. 27898
  5. 12342.5
  1. 45, 46, 96, 297, 1204,?
  1. 5782
  2. 4526
  3. 3983
  4. 6045
  5. 7148 
  1. 210, 786, 302, 702, 378,?
  1. 634
  2. 612
  3. 656
  4. 588
  5. 570
  1. 113, 226, 904, 5424,? , 433920
  1. 38756
  2. 40278
  3. 43392
  4. 32524
  5. 34580
  1. 628, 160, 44, 16, 10,?
  1. 7.5
  2. 9.5
  3. 8.25
  4. 7.25
  5. 9.75

 

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

  1. ((6 ÷ 1.86) × (11 ÷ 2)) ÷ ((28/7) × (22/5)) =? ÷ 1678.89
  1. 1450
  2. 1360
  3. 1680
  4. 1590
  5. 1720
  1. {[(3/8) × (15/2)] ÷ (2.5 ÷ 0.6)}2 = ?
  1. 9/16
  2. 8/17
  3. 12/17
  4. 15/19
  5. 18/23
  1. 10.25 % of 120 + 9.31 % of 320 =?
  1. 70
  2. 60
  3. 50
  4. 40
  5. 30
  1. (27.01)2 + (14.02)2 =? + (7.99)2
  1. 720
  2. 860
  3. 640
  4. 580
  5. 950
  1. (63.97)2 × (95.81)2 ÷ (25 × (11.97)2 )= 2?
  1. 8
  2. 17
  3. 4
  4. 15
  5. 13
  1. If the radius and heights of the two cylinders are 5: 6 and 5: 8, then what is the ratio of its volume?
  1. 108 : 193
  2. 95 : 178
  3. 125 : 288
  4. 112 : 257
  5. None of these
  1. In a bag, there are 7 red balls and 5 green balls. Three balls are picked at random. What is the probability that two balls are red and one ball is green in colour?
  1. 21/44
  2. 14/37
  3. 12/25
  4. 36/43
  5. None of these
  1. The ratio of the present age of Agila to that of Sharmila is 13: 17. Four years ago the ratio of their ages was 11: 15. What will be the ratio of their ages six years hence?
  1. 3 : 7
  2. 5 : 9
  3. 9 : 11
  4. 4 : 5
  5. None of these
  1. 8 men can complete a piece of work in 20 days. 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the same work?
  1. 18 days
  2. 16 days
  3. 12 days
  4. 14 days
  5. None of these
  1. A, B and C’s share of profit is in the ratio of 7: 8: 9. The period is in the ratio of 2 : 2 : 3. Then find the ratio of investment?
  1. 5 : 6 : 8
  2. 4 : 7 : 9
  3. 6 : 3 : 7
  4. 7 : 8 : 6
  5. None of these

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

Following pie chart shows the total number of population in six cities are 76 lakhs and the table shows the percentage distribution of female population and literate population among those cities.

 

  1. Total male population in city P, R and T together is approximately what percentage more/less than the total female population in city Q, S and U together?
  1. 44 % more
  2. 56 % more
  3. 35 % less
  4. 23 % less
  5. 12 % more
  1. Find the ratio between the total illiterate population in city Q, R and S together to that of total literate population in city P, T and U together?
  1. 247 : 1178
  2. 356 : 973
  3. 478 : 1051
  4. 212 : 1359
  5. None of these
  1. Find the difference between the total population in city P, Q and T together to that of total female population in R, S and U together?
  1. 278590
  2. 569230
  3. 367080
  4. 415620
  5. None of these
  1. Total male population in city Q, S and U together is approximately what percentage of total illiterate population in city P, R and T together?
  1. 178 %
  2. 203 %
  3. 214 %
  4. 155 %
  5. 131 %
  1. Find the total illiterate population in all the given cities together?
  1. 1650720
  2. 2156540
  3. 2834680
  4. 1256950
  5. None of these

Answers:

1. Answer b

The pattern is, *1/2, *3/2, *5/2, *7/2, *9/2, *11/2,..

The answer is, 15592.5

2. Answer d

The pattern is, *1 + 12, *2 + 22, *3 +32, *4 + 42….

The answer is, 6045

3. Answer a

The pattern is, +242, -222, +202, -182, +162,..

The answer is, 634

4. Answer c

The pattern is, *2, *4, *6, *8, *10….

The answer is, 43392

5. Answer b

The pattern is, ÷ 4 + 3, ÷ 4 + 4, ÷ 4 + 5, ÷ 4 + 6,..

The answer is, 9.5

Directions (Q. 6 – 10):

6. Answer c

((6/2)*(11/2)) ÷ ((28/7) × (22/5)) = x ÷ 1679

(6*11*7*5)/(2*2*28*22) = x/1679

X = 1*1679

X = 1679 = 1680

7. Answer a

{[(3/8) × (15/2)] ÷ (2.5 ÷ 0.6)}2 = x

(3/4)2 = x

X = 9/16

8. Answer d

(10/100)*120 + (9/100)*320 = x

X = 12 + 29

X = 41 = 40

9. Answer b

272 + 142 = x + 82

729 + 196 – 64 = x

X = 861 = 860

10. Answer e

(64)2 × (96)2 ÷ 25 × 122 = 2x

212 × [(96*96)/(25 * 12*12)] = 2x

212 × [(8*8)/25] = 2x

212 × [26/25] = 2x

212 +6 – 5 = 2x

213 = 2x

X = 13

 

11. Answer c

The ratio of radius (r1: r2) = 5: 6(5x, 6x)

The ratio of heights (h1: h2) = 5: 8(5y, 8y)

The volume of cylinder = πr2h

According to the question,

= > (22/7)*(5x)2 * (5y) : (22/7)*(6x)2 * (8y)

= > 125: 288

12. Answer a

Total Probability n(S) = 12C3

Required Probability n(E) = 7C2 and 5C1

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

P(E) = 7C2 and 5C1 / 12C3

P(E) = 21/44

13. Answer d

The ratio of the present age of Agila to that of Sharmila = 13: 17

Four years ago, the ratio of their ages = 11: 15

According to the question,

(13x – 4)/(17x – 4) = (11/15)

195x – 60 = 187x – 44

8x = 16

X = 2

The present age of Agila = 13x = 26, Sharmila = 17x = 34 years

Six years hence, the ratio will be,

= > (26+6): (34+6)

= > 32: 40

= > 4: 5

14. Answer b

8m * 20 = 8W * 32

5m = 8w

5m + 8 w = 8w + 8w = 16 w

Women        days

8                 32

16               ?

(8*32) = (16*?)

X = (8*32)/16 = 16 days

15. Answer d

The share of A, B and C = 7: 8: 9

The Period ratio = 2: 2:3

Investment * Period = Ratio of share of profit

Investment ratio = (7/2) : (8/2) : (9/3) = (7/2) : 4 : 3

= > 7: 8 : 6

Directions (16-20):

City Total Male Female Literate Illiterate
P 684000 376200 307800 533520 150480
Q 836000 535040 300960 668800 167200
R 1140000 490200 649800 957600 182400
S 1292000 465120 826880 930240 361760
T 1596000 702240 893760 1053360 542640
U 2052000 779760 1272240 1805760 246240

 

16. Answer c

Total male population in city P, R and T together

= > 376200 + 490200 + 702240

= > 1568640

Total female population in city Q, S and U together

= > 300960 + 826880 + 1272240

= > 2400080

Required % = [(2400080 – 1568640)/2400080]*100

= > (831440/2400080)*100 = 34.64 % = 35 % less

17. Answer a

The total illiterate population in city Q, R and S together

= > 167200 + 182400 + 361760

= > 711360

The total literate population in city P, T and U together

= > 533520 + 1053360 + 1805760

= > 3392640

Required ratio = 711360: 3392640 = 247: 1178

18. Answer c

The total population in city P, Q and T together

= > [(9 + 11 + 21)/100]*7600000

= > 7600000*(41/100)

= > 3116000

The total female population in R, S and U together

= > 649800 + 826880 + 1272240

= > 2748920

Required difference = 3116000 – 2748920 = 367080

19. Answer b

Total male population in city Q, S and U together

= > 535040 + 465120 + 779760

= > 1779920

Total illiterate population in city P, R and T together

= > 150480 + 182400 + 542640

= > 875520

Required % = (1779920/875520)*100 = 203.298 % = 203 %

20. Answer a

The total illiterate population in all the given cities together

= > 150480 + 167200 + 182400 + 361760 + 542640 + 246240

= > 1650720

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