“20-20” Quantitative Aptitude | Crack SBI PO Prelims 2018 Day-116

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“20-20” Aptitude Questions | Crack SBI PO Prelims 2018 Day-116

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Directions (Q. 1 – 5) what approximate value should come in the place of question mark (?) in the following questions?

  1. (42.21)2 ÷ 14 × 7.89 + (35.78)2 = 4 × ? – 15 % of 2699
  1. 720
  2. 770
  3. 680
  4. 630
  5. 590
  1. 2356.23 × 8.11 – 12.9 % of 899 + (3/5) of 744 =? % of 499
  1. 3840
  2. 4260
  3. 3470
  4. 4780
  5. 4950
  1. 33450 ÷ 11 + (5/7) of 12542 + 52 % of 2499 =?2 – 387.78
  1. 170
  2. 210
  3. 280
  4. 340
  5. 120
  1. ? % of 1399 = 2562.75 – [(52.21)2 – 222] × 40 ÷ 504
  1. 110
  2. 170
  3. 240
  4. 290
  5. 320
  1. (7315 + 1280) ÷ 28 + 52.212 + (8/7) of 3484 – 52 =?
  1. 5360
  2. 5890
  3. 6270
  4. 6940
  5. 4280

Directions (Q. 6 – 10) what value should come in the place of question mark (?) in the following number series?

  1. 13, 22, 75, 284, 1445, ?
  1. 5782
  2. 6578
  3. 8634
  4. 7356
  5. 4523
  1. 141, 160, 198, 255, 331, ?
  1. 552
  2. 426
  3. 384
  4. 478
  5. 462
  1. 17, 16, 24, 45, 116, ?
  1. 455
  2. 327
  3. 478
  4. 396
  5. 512
  1. 113, 226, 904, 5424, ?
  1. 36786
  2. 27843
  3. 34554
  4. 25325
  5. 43392
  1. 728, 735, 784, 1127, ?
  1. 2786
  2. 1945
  3. 2254
  4. 3528
  5. 3217
  1. A 175 m long train crosses another 225 m long train in 18 sec, running in opposite direction. If the speed of the first train is 45 km/hr, then find the speed of the second train (in km/hr)?
  1. 32 km/hr
  2. 27 km/hr
  3. 24 km/hr
  4. 35 km/hr
  5. None of these
  1. The average weight of 12 persons is increased by 3 when one of the person whose weight is 58 kg is replaced by 2 women. Find the average weight of 2 women?
  1. 47 kg
  2. 44 kg
  3. 42 kg
  4. 39 kg
  5. None of these
  1. Rajiv spends 25% of his monthly income on food and 28% on education of his children. Of the remaining salary, he spends 12% on entertainment and 15% on transport. He is now left with Rs. 13724. What is the monthly salary of Rajiv?
  1. Rs. 32000
  2. Rs. 44000
  3. Rs. 40000
  4. Rs. 36000
  5. None of these
  1. If the difference between the discount of 40% and two successive discount of 25% and 16% is equal to Rs 330, then find the cost price of article if the shopkeeper marked up the price by 25%?
  1. Rs. 7400
  2. Rs. 8800
  3. Rs. 6600
  4. Rs. 9200
  5. None of these
  1. A train whose speed 108km/hr crosses a bridge in 15 seconds. Another train which is twice the length of first train crosses the same bridge at the speed of 15m/s in 40 seconds. Find the time taken by the second train to cross an electric pole?
  1. 24 sec
  2. 26 sec
  3. 28 sec
  4. 20 sec
  5. None of these

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

Following table shows the total number of students appearing for different examination and the percentage of students passed in the tier – 1 examination in different states.

 

State

UPSC 2017 SSC CGL 2017 RRB 2017
Appearing Pass % Appearing Pass % Appearing Pass %
A 98000 67 % 64000 55 % 65000 53 %
B 74000 55 % 76000 68 % 78000 74 %
C 66000 42 % 82000 76 % 96000 67 %
D 52000 60 % 58000 41 % 57000 59 %
E 85000 52 % 90000 53 % 42000 48 %

 16. Total number of students appearing from A and B together is approximately what percentage of total number of students appearing from D and E together for all the given examination?

  1. 96 %
  2. 84 %
  3. 118 %
  4. 102 %
  5. 124 %
  1. Find the total number of students passed in the UPSC 2017 tier – 1 for all the given states together?
  1. 178560
  2. 209480
  3. 165270
  4. 214530
  5. None of these
  1. Total number of passed students of UPSC and RRB 2017 tier – 1 in State A, C and E together is approximately what percentage more/less than the total number of passed students of SSC CGL and RRB 2017 tier – 1 in State B, D and E together?
  1. 9 % more
  2. 14 % less
  3. 27 % more
  4. 14 % more
  5. 9 % less
  1. Find the ratio between the total number of appearing students of SSC CGL 2017 to that of UPSC 2017 tier – 1?
  1. 32 : 35
  2. 47 : 49
  3. 51 : 53
  4. 74 : 75
  5. None of these
  1. Find the total students passed tier – 1 in the state C of all the given examination?
  1. 172430
  2. 154360
  3. 218950
  4. 245270
  5. None of these

Answers:

Directions (Q. 1 – 5)

  1. Answer c

(42)2 ÷ 14 × 8 + (36)2 = 4 × ? – 15 % of 2700

(42*42*8)/14 + 1296 = 4x – (15/100)*2700

1008 + 1296 + 405 = 4x

4x = 2709

X = 2708/4

X = 677 = 680

  1. Answer a

2356 × 8 – 13 % of 900 + (3/5) of 745 = x % of 500

2356 × 8 – (13/100)*900 + (3/5)*745 = (x/100)*500

18848 – 117 + 447 = 5x

19178 = 5x

X = 19180/5

X = 3836 = 3840

  1. Answer e

(33451/11) + (5/7)*12544 + (52/100)*2500 = x2 – 388

3041 + 8960 + 1300 + 388 = x2

X2 = 13689

X = 117 = 120

  1. Answer b

(x/100)*1400 = 2563 – (522 – 222) × 40 ÷ 500

14x = 2563 – [(52+ 22) (52- 22)]*(40/500)

14x = 2563 – [74*30*2]/25

14x = 2563 – 177.6

14x = 2385.4

X = 170

  1. Answer d

(7315 + 1280) ÷ 28 + 522 + (8/7)* 3486 – 52 = x

X = (8595/28) +2704 + 3984 – 52

X = 307 +2704 + 3984 – 52

X = 6943 = 6940

 

Directions (Q. 6 – 10)

  1. Answer c

The pattern is, *2 -22, *3 +32, *4 – 42, *5 + 52, *6 – 62….

The answer is, 8634

  1. Answer b

The pattern is, +(1*19), +(2*19),  +(3*19), +(4*19), +(5*19),..

The answer is, 426

  1. Answer a

The pattern is, *1 – 13, *2 – 23, *3 – 33, *4 – 43, *5 – 53,..

The answer is, 455

  1. Answer e

The pattern is, *2, *4, *6, *8,…

The answer is, 43392

  1. Answer d

The pattern is, +71, +72, +73, +74….

The answer is, 3528

 

  1. Answer d

T= D/ S

Two trains running in opposite direction, so,

Relative Speed = S1 +S2 = 45 + x (Let speed of second train be x)

18 = (175 + 225)/ ((45+x)*(5/18))

18*(45+x)*5 = 400*18

45+x = 80

X= 80 – 45 = 35 km/hr

  1. Answer a

Increased weight = 12*3 = 36 kg

So 2 women’s weight = 58 kg + 36 kg = 94 kg

Average weight of 2 women = 94/2 = 47 kg

  1. Answer c

Let Rajiv’s monthly salary be x,

According to the question,

X*(47/100)*(73/100) = 13724

X = 13724*(100/47)*(100/73)

X = Rs. 40000

  1. Answer b

Let the marked price be x,

According to the question,

X*(75/100)*(84/100) – x*(60/100) = 330

(63x/100) – (60x/100) = 330

(63x – 60x)/100 = 330

3x = 33000

X = 11000

(125/100)*CP = 11000

CP = 11000*(100/125) = Rs. 8800

  1. Answer d

Speed of the first train = 108*(5/18) = 30 m/s

Let the length of the first train be x,

Length of second train = 2x

Let the length of the bridge be y,

First train,

15= (x + y)/30

450= x + y —à (1)

Second train

40= (2x + y)/ 15

600= 2x+y

600= 2x+y —à (2)

By solving both the equation (1) and (2), we get

X = 150 m, y = 300

Time taken by second train to cross an electric pole = 300/15 = 20 seconds.

 

Directions (Q. 16 – 20)

  1. Answer c

Total number of students appearing from A and B together for all the given examination

= > 98000 + 64000 + 65000 + 74000 + 76000 + 78000

= > 455000

Total number of students appearing from D and E together for all the given examination

= > 52000 + 58000 + 57000 + 85000 + 90000 + 42000

= > 384000

Required % = (455000/384000)*100 = 118.48 % = 118 %

  1. Answer b

Total number of students passed in the UPSC 2017 tier – 1 for all the given states together

= > 98000(67/100) + 74000*(55/100) + 66000*(42/100) + 52000*(60/100) + 85000*(52/100)

= > 65660 + 40700 + 27720 + 31200 + 44200

= > 209480 

  1. Answer a

Total number of passed students of UPSC and RRB 2017 tier – 1 in State A, C and E together

= > 98000*(67/100) + 66000*(42/100) + 85000*(52/100) + 65000*(53/100) + 96000*(67/100) + 42000*(48/100)

= > 65660 + 27720 + 44200 + 34450 + 64320 + 20160

= > 256510

Total number of passed students of SSC CGL and RRB 2017 tier – 1 in State B, D and E together

= > 76000*(68/100) + 58000*(41/100) + 90000*(53/100) + 78000*(74/100) + 57000*(59/100) + 42000*(48/100)

= > 51680 + 23780 + 47700 + 57720 + 33630 + 20160

= > 234670

Required % = [(256510-234670)/234670]*100 = 9.306 % = 9 % more 

  1. Answer d

The total number of appearing students of SSC CGL 2017 tier – 1

= > 64000 + 76000 + 82000 + 58000 + 90000

= > 370000

The total number of appearing students of UPSC 2017 tier – 1

= > 98000 + 74000 + 66000 + 52000 + 85000

= > 375000

Required ratio = 370000: 375000 = 74: 75

  1. Answer b

Total students passed tier – 1 in the state C of all the given examination

= > 66000*(42/100) + 82000*(76/100) + 96000*(67/100)

= > 27720 + 62320 + 64320 = 154360

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