“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-68

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“20-20” Aptitude Questions | Crack SBI Clerk / IDBI Executive 2018 Day-68

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

  1. [(4725 ÷ 189)1/2 + (722 ÷ 19)2] = (?)2 + 360
  1. 45
  2. 28
  3. 33
  4. 41
  5. 52 
  1. 75 % of 640 ÷ 24 + 4 % of 225 =?2 + 20 % of 20
  1. 5
  2. 7
  3. 9
  4. 8
  5. 4 
  1. 3√x ÷ (12 × 7) + 28 = 31
  1. 5184
  2. 4624
  3. 4096
  4. 7056
  5. None of these
  1. 3 1/3 – 1 1/9 =? – 2 3/7 – 1 ½
  1. 4 58/139
  2. 6 19/126
  3. 6 72/135
  4. 5 67/135
  5. None of these 
  1. 27 % of 500 + 282 ÷ 14 + 324 = x % of 250
  1. 453
  2. 378
  3. 206
  4. 512
  5. None of these

 

  1. The average of three persons A, B and C six years ago was 35 years while the average ages of A, B, C and D at present is 40 years then find the age of person D after 10 years?
  1. 42
  2. 40
  3. 16
  4. 18
  5. 47
  1. P, Q and R can complete a whole work in 20 days. P starts the work and works for ‘x’ days while Q and R complete the remaining work 2/5 of the work in 14 days then find the value of x?
  1. 42
  2. 40
  3. 16
  4. 28
  5. 16
  1. P takes 8 days to complete 2/3 of a work, Q takes 3 days to complete 1/7 of the same work and R takes 8 days to complete 4/5 of the same work. If they work for 3 days together then Q and R leaves the work. Find the number of days P will take to complete the remaining work?
  1. 19/56
  2. 14/157
  3. 176/35
  4. 18/167
  5. 129/35
  1. 20 men can complete a piece of work in 16 days. After 5 days from the start of the work, some men left. If the remaining work was completed by the remaining men 18(1/3) days, how many men left after 5 days from the start of the work?
  1. 10
  2. 3
  3. 6
  4. 4
  5. 8
  1. A and B started a business by investing Rs 18000 and Rs 24000 respectively. At the end of the 4th month from the start of the business, C joins with Rs 15000. At the end of the 8th month B quits at that time C invests Rs 3000 more. At the end of the 10th month B rejoins with same investment. If the profit at the end of the year is Rs 12005, what is B’s share of profit?
  1. 2400
  2. 3000
  3. 3600
  4. 4900
  5. 4800

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

  1. 22, 44, 220, 440, ?
  1. 1050
  2. 2200
  3. 1750
  4. 2500
  5. 1550
  1. 972, 248, 66, 19.5, ?
  1. 6.875
  2. 8.75
  3. 9.5
  4. 7.275
  5. 6.25
  1. 172, 1013, 1974, 3063, ?
  1. 5126
  2. 4754
  3. 5892
  4. 4288
  5. 3976 
  1. 188, 206, 242, 296, ?
  1. 368
  2. 412
  3. 348
  4. 390
  5. 426
  1. 56, 113, 449, 2699, ?
  1. 9754
  2. 11562
  3. 21585
  4. 19748
  5. 23653

 

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

Following table shows the number of tourist who came to different cities by different modes of transport.

CityBusTrainCarFlight
Delhi1320480350700
Mumbai780370420530
Goa940560580420
Kerala820370450390
Uttar Pradesh1560500420310

 

  1. Some tourist planed to go to Mumbai. Due to fault in the car, 35 % of passengers go by bus and 50 % of passengers go by train and remaining passengers drop the plan to go to Mumbai. Find the total no of passengers go by bus and train?
  1. 1507
  2. 2156
  3. 3489
  4. 2894
  5. None of these
  1. Total no of tourist go by bus is approximately what percentage more/less than total no of tourist go by flight to all the cities?
  1. 114 %
  2. 107 %
  3. 128 %
  4. 131 %
  5. None of these
  1. Find the ratio between the total no of tourist who came to Goa and Kerala?
  1. 315 : 278
  2. 250 : 203
  3. 274 : 215
  4. 345 : 286
  5. None of these
  1. Tourist who came to Uttar Pradesh planed to go to different places in that city. 30 % of tourist goes to Taj mahal and 20 % goes to Agra Fort and remaining tourist goes to Dudhwa national park. Find the average no of tourist go to Taj mahal and Dudhwa national park?
  1. 1274
  2. 1315
  3. 1116
  4. 1582
  5. None of these
  1. What is the difference between the total no of tourist who went to Mumbai and Delhi by all the vehicles together?
  1. 815
  2. 750
  3. 625
  4. 845
  5. None of these

 Answers:

Directions (Q. 1 – 5):

  1. Answer c
[(4725/189)1/2 + (722/19)2] = (x)2 + 360

251/2 + 382 = x2 + 360

5 + 1444 – 360 = x2

X2 = 1089

X = 33

  1. Answer a
[(75/100)*640]/24 + (4/100)*225 = x2 + (20/100)*20

480/24 + 9 = x2 + 4

20 + 9 = x2 + 4

25 = x2

X = 5

  1. Answer d

3√x / (12 × 7) + 28 = 31

√x/ 28 = 3

√x = 84

X = 842 = 7056

  1. Answer b

3 1/3 – 1 1/9 + 2 3/7 + 1 ½ = x

(3 – 1 + 2 + 1) (1/3 – 1/9 + 3/7 + ½) = x

5 [(42 – 14 + 54 + 63)/126] = x

5 (145/126) = x

X = 6 19/126

  1. Answer c

(27/100)*500 + (28*28)/14 + 324 = (x/100)*250

135 +56 + 324 = 5x/2

515*2/5 = x

X = 206

 

  1. Answer e

Total ages of A, B and C six years ago

= 35*3

= 105 years

Total ages of A, B and C now= 105 + 18= 123 years

Total ages of A, B, C and D= 40*4= 160 years

Age of D= 160-123= 37 years

Age of D after 10 years= 37+10= 47 years.

  1. Answer d

Time required by Q and R to complete the whole work

= 5*14/2== 35 days

Time taken by P, Q and R= 20 days

Total units of work= 140 units

Q and R one day work= 4 units

P, Q and R one day work= 7 units

P’s one day work= 7-4= 3 units

Units of work done by P=3*140/5= 84 units

Required value of x= 84/3= 28 days

  1. Answer e

Time taken by P= 8*3/2= 12 days

Q= 7*3= 21 days

R= 8*5/4= 10 days

Total units of work = 420 units

P’s one day work= 35 units

Q’s one day work= 20 units

R’s one day work= 42 units

Work done in 4 days= 97*3= 291 units

Time required by P to complete the remaining work= 420-291/35= 129/35 days

  1. Answer e

Total units of work= 20*16= 320 units

Work done in 5 days= 20*5= 100units

Remaining work= 320 -100= 220 units

Let the number of men left after 5 days be x

So,

20-x men completed the remaining 220 units in 55/3 days

So,

(20-x)*55/3= 220

1100- 55x= 660

55x= 440

X= 8 men

  1. Answer d

Investment by A= 18000*12= 216000

Investment by B= 24000*8 + 24000*2= 240000

Investment by C= 4*15000+ 4*18000= 132000

Ratio of investment= 216:240:132= 18:20:11

Share of profit by = 20*12005/49= Rs 4900

 

Directions (Q. 11 – 15):

  1. Answer b

The pattern is, *2, *5(alternatively)

The answer is, 2200

  1. Answer a

The pattern is, ÷ 4 + 5, ÷ 4 + 4, ÷ 4 + 3, ÷ 4 + 2,..

The answer is, 6.875

  1. Answer d

The pattern is, +292, +312, +332, +352,..

The answer is, 4288

  1. Answer a

The pattern is, +(1*18), +(2*18), +(3*18), +(4*18),..

The answer is, 368

  1. Answer c

The pattern is, *2 + 1, *4 – 3, *6 +5, *8 -7,..

The answer is, 21585

 

Directions (Q. 16 – 20)

  1. Answer a

Total no of passengers go by car = 420

Due to fault in the car, 35 % of passengers go by bus and 50 % of passengers go by train.

So,

Total no of passengers go by bus is,

= > 780 + 420*(35/100)

= > 780 + 147 = 927

Total no of passengers go by train is,

= > 370 + 420*(50/100)

= > 370 + 210 = 580

Required answer = 927 + 580 = 1507

  1. Answer d

Total no of tourist go by bus is,

= > 1320 + 780 + 940 + 820 + 1560

= > 5420

Total no of tourist go by flight is,

= > 700 + 530 + 420 + 390 + 310

= > 2350

Required % = [(5420 – 2350)/2350]*100 = 130.64 % = 131 %

  1. Answer b

Total no of tourist, who came to Goa,

= > 940 + 560 + 580 + 420 = 2500

Total no of tourist, who came to Kerala,

= > 820 + 370 + 450 + 390 = 2030

Required ratio = 2500: 2030 = 250: 203

  1. Answer c

Total no of tourist in Uttar Pradesh,

= > 1560 + 500 + 420 + 310

= > 2790

Total no of tourist who went to Taj mahal and Dudhwa national park is,

= > 2790*(80/100) = 2232

Average = 2232/2 = 1116

  1. Answer b

Total no of tourist, who went to Mumbai,

= > 780 + 370 + 420 + 530 = 2100

Total no of tourist, who went to Delhi,

= > 1320 + 480 + 350 + 700 = 2850

Required difference = 2850 – 2100 = 750

 

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