“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-48

Dear Friends, SBI Clerk 2018 Notification has been released we hope you all have started your preparation. Here we have started New Series of Practice Materials specially for SBI Clerk / IDBI Executive 2018 . Aspirants those who are preparing for the exams can use this “20-20” Quantitative Aptitude Questions.

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

1. 378, 190, 49.5, ? , 5.40625

1. 11.25
2. 15.75
3. 25.25
4. 27.25
5. None of these

2. 43, 45, 93, 283, ?

1. 652
2. 758
3. 1137
4. 1256
5. None of these

3. 5, 11, 25, 51, ?

1. 78
2. 91
3. 107
4. 93
5. None of these

4. 4, 6, 15, ? , 236.25

1. 45
2. 52.5
3. 75.25
4. 81.75
5. None of these

5. 36, 39, 51, ? , 126

1. 72
2. 87
3. 95
4. 102
5. None of these

 

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

6. (32 × 10^-5)² × 64 ÷ (2¹⁶ × 10^-4) = 10^?

1. -4
2. -7
3. -3
4. -6
5. None of these

7. √((27 ÷ 5 ×?) ÷ 15) = 5.4 ÷ 6 +0.3

1. 12
2. 4
3. 9
4. 15
5. None of these

8. 18 ¼ % of 17200 + 33 2/3 % of 1890 +37 2/3 % of 19680 =?

1. 12658.1
2. 13377.3
3. 11188.1
4. 15678.3
5. None of these

9. [(1/57) × 3534] + (8/27) × 2484 = ? × 3

1. 356
2. 428
3. 477
4. 266
5. None of these

10. 1 ¾ + 7 5/7 – 3 7/8 + 2 ½ = x

1. 7  5/56
2. 6  3/29
3. 8  7/57
4. 5  4/37
5. None of these

 

11. Five years ago, the age of Kiran was half the age of Kirti. After nine years the age of Kiran will be two thirds the age of Kirti. What is the present age of Kirti?

1. 27 years
2. 30 years
3. 33 years
4. 36 years
5. 40 years

12. 8 men can finish a piece of work in 21 days. 14 men started working and after 3 days they were replaced by 9 women. These 9 women finished the remaining work in 24 days. In how many days can 9 women finish the whole work?

1. 32
2. 24
3. 42
4. 45
5. 34

13. A person covers 360 km in 6 hours. He covers some distance by bus at the average speed of 40 kmph and the remaining distance by train at the average speed 70 kmph. Find the distance covered by the train.

1. 340
2. 450
3. 240
4. 167
5. 150

14. A boat can travel 12.8 km downstream in 32 minutes. If the speed of the current is 1/5 of the speed of the boat in still water, what distance can the boat travel in 27 minutes?

1. 7.5
2. 12
3. 17
4. 9
5. 15

 

15. The cost price of article A is Rs 100 more than the cost price of article B. Article A was sold at 40% profit and article B was sold at 40% loss. If the overall profit earned after selling both the articles is 5% then what is the cost price of article B?

1. 320
2. 130
3. 350
4. 120
5. 650

 

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

The number of different balls in two bags A and B

16. If three balls are picked at random from bag A, What is the probability that at least one is orange?

1. 455/969
2. 514/969
3. 355/969
4. 463/969
5. None of these

17. 1 If two balls are picked at random from B, What is the probability that both balls are either white or black?

1. 3/11
2. 5/8
3. 7/8
4. 1/11
5. None of these

18. If four balls are picked at random from bag A, What is the probability that two balls are orange, one is pink and one is black?

1. 3/646
2. 5/323
3. 15/646
4. 15/323
5. None of these

19. 1 If 3 balls are picked at random from bag B, What is the probability that at most one is black?

1. 52/65
2. 64/77
3. 37/87
4. 43/65
5. None of these

20. If 4 balls are picked at random from bag B, what is the probability that all balls are of different colour?

1. 24/209
2. 15/103
3. 28/119
4. 42/103
5. None of these

Answers:

Directions (Q. 1 – 5)

1. Answer a

The pattern is, ÷ 2 + 1, ÷4 +2, ÷6 +3, ÷8 +4, ..

The answer is, 11.25

2. Answer c

The pattern is, ×1 +2, ×2 + 3, ×3 +4, ×4+5

The answer is, 1137

3. Answer d

The difference of difference is, 8,12,16,..

The answer is, 93

4. Answer b

The pattern is, ×1.5, ×2.5, ×3.5, ×4.5,..

The answer is, 52.5

5. Answer e

The pattern is, +(1*3), +(2*6), +(3*9), +(4*12),..

The answer is, 78

 

Directions (Q. 6-10):

6. Answer d

((32× 32) × 10^-10 × 64) / (2¹⁶ × 10^-4) =10^x

((2⁵ × 2⁵) × 10^-10 × 2⁶) / (2¹⁶ × 10^-4) =10^x

10^-10/ 10^-4 = 10^x

10^-10+4 = 10^x

10^-6 =10^x

X= -6

7. Answer b

√((27 /5 )×(x/15)) =0.9+0.3

(3/5) √ x = 1.2

√ x = 6/3 =2

X= 4

8. Answer c

(73/400)*17200 +(101/300)*1890 +(113/300)*19680 = x

X= 3139 +636.3 +7412.8

X = 11188.1

9. Answer d

3 × ? = (3534/57) + [ (8 × 2484) / 27 ]

62+736 = 3x

3x = 798

X= 266

10. Answer e

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

7 + [(42+40-49+28)/56] = x

7 + 61/56 = x

8  5/56 =x

 

11. Answer c

Let the present age of Kiran and Kirti be x and y,

(x-5)= ½(y-5)

2x-5= y….. (i)

x +9 = 2/3(y +9)

2y- 3x=9…. (ii)

By solving we get

Y= 18+15= 33 years

12. Answer a

8 men can do a piece of work in 21 days

So, 1 man can do the piece of work in 21*8 days

14 men can do in 3 days

1*14*3/21*8= ¼ work

Remaining work = 1-1/4= ¾

¾ work was completed by 9 women in 24 days

Total work can be completed by 9 women in 24*4/3= 32 days

13. Answer c

Average speed of the person= 360/6= 60 kmph

By applying the rule of allegation we get,

= >1 : 2

Ratio between distances covered as 1:2

So, Distance covered by train= 360*2/3=240 km

14. Answer d

Let the speed of the boat in still water be x kmph

Speed of the current= x/5

Downstream speed = x + x/5= 6x/5

Downstream speed in kmph = 12.8*60/32= 24 kmph

So,

6x/5= 24

x = 20 kmph

Distance in 27 minutes= 20*27/60= 9 km

15. Answer c

Profit in article A= 40%

Loss in article B= 40%

By allegation method we get ratio of cost price of both article in ratio= 9:7

Let the cost price of article A be 9x and B be 7x

So, 9x-7x= 100

x = 50

Cost price of article B = Rs 50 * 7= Rs 350

(or)

= >9 : 7

2’s = 100

1’s = 50

The cost price of article B = 7’s = 350

 

Directions (Q. 16 – 20)

 

16. Answer b

Total Probability = ¹⁹C₃

Required Probability = 1- none is orange

Probability of getting none is orange= ¹⁵C₃

Probability = ¹⁵C₃ / ¹⁹C₃  = 455/969

Probability of getting atleast one is orange= 1- (455/969) = 514/969

17. Answer d

Total Probability = ²²C₂  = 11*21

Required Probability= ⁴C₂ or ⁶C₂ = 6+15 =21

The probability that both balls are either white or black,

= > 21/(11*21) = 1/11

18. Answer c

Total Probability = ¹⁹C₄

Required Probability= ⁴C₂  and³C₁  and ⁵C₁

The probability that two balls are orange, one is pink and one is black,

= > (⁴C₂  and³C₁  and ⁵C₁ ) / ¹⁹C₄

= > 15/646

19. Answer b

Total Probability = ²²C₃

Required Probability = ¹⁶C₃ or (⁶C₁  and¹⁶C₂)

The probability that at most one is black

= >¹⁶C₃ or (⁶C₁  and¹⁶C₂) / ²²C₃

= >(560 + 720) / 1540 = 1280/1540

= > 64/77

20. Answer a

Total Probability = ²²C₄

Required Probability= ⁷C₁  and⁵C₁  and ⁴C₁  and ⁶C₁

The probability that all balls are of different colour

= > (⁷C₁  and⁵C₁  and ⁴C₁  and ⁶C₁ ) / ²²C₄

= > 24/209

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Topic	Daily Publishing Time
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Current Affairs Quiz	9.00 AM
Logical Reasoning	10.00 AM
Quantitative Aptitude “20-20”	11.00 AM
Vocabulary (Based on The Hindu)	12.00 PM
Static GK Quiz	1.00 PM
English Language “20-20”	2.00 PM
Banking Awareness Quiz	3.00 PM
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Data Interpretation / Application Sums (Topic Wise)	6.00 PM
Reasoning Ability “20-20”	7.00 PM
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General / Financial Awareness Quiz	9.00 PM