“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-66

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Directions (Q. 1 – 5) Study the following pie chart carefully and answer the given questions:

Following pie chart shows the percentage of government employees in different field in Dharmapuri district in Tamilnadu in the year 2016

1. If the percentage of female employees in Teaching field is 40 %, then find the ratio of total no of male employees in teaching field to that of total no of employees in engineering field?

1. 13 : 5
2. 21 : 10
3. 15 : 4
4. 28 : 9
5. None of these

2. The percentage of female in engineering field and that of male in medical field is same, which is equal to 55 %. The percentage of male employees in engineering field is approximately what percentage of female employees in medical field?

1. 72 %
2. 58 %
3. 81 %
4. 67 %
5. 77%

3. Find the average no of employees in Banking, law and teaching field?

1. 15400
2. 11600
3. 12500
4. 17200
5. None of these

4. In the year 2017, the banking and engineering employees are increased by 15 % and 20 % respectively while comparing with the previous year. Then the total no. of engineering employees in the year 2017 is approximately what percentage more/less than the banking employees in the year 2017?

1. 58 % less
2. 42 % more
3. 42 % less
4. 58 % more
5. None of these

5. If the percentage of government employees in Dharmapuri district is 4%, then find the total population in the district?

1. 1.5 lakhs
2. 2.25 lakhs
3. 1.25 lakhs
4. 1.75 lakhs
5. None of these

 

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

6. [((156 ÷ 4) ÷ 13)² + (32 × 8)^1/2] = (?)²

1. 5
2. 8
3. 12
4. 14
5. None of these

7. 58 % of 4875 + 32² ÷ 8 × 4 + 18² = ? × 5

1. 536.5
2. 678.3
3. 434.1
4. 732.7
5. None of these

8. x + 127 = (3/7) of 1190 + 32²

1. 1203
2. 1407
3. 1562
4. 1745
5. None of these

9. ? × 115 = (3564 + 781) ÷ 55 + 86² + (3/7) of 840 – 15

1. 52
2. 75
3. 68
4. 59
5. None of these

10. 1680 ÷? + 182 × 11 = 3524 + 5198

1. ¼
2. 2/3
3. ¾
4. 5/7
5. None of these

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

11. 1944, 488, 124, 33, ?

1. 11
2. 15.75
3. 15
4. 10.25
5. 17.5

12. 108, 120, 133, 155, 202, ?

1. 312
2. 298
3. 217
4. 328
5. 256

13. 32, 198, 995, 3984, ?

1. 11955
2. 8765
3. 9876
4. 10254
5. 12785

14. 11, 101, 911, 8201,?

1. 52415
2. 66717
3. 73811
4. 44213
5. 59615

15. 26, 538, 794, 922,? , 1018

1. 952
2. 986
3. 1004
4. 994
5. 1012

16. A, B and C started the business by investing in the ratio of 4: 5: 7. Twenty % of the profit goes to charity; the remaining will be shared by three of them. The share of B is, 22500. Find the total profit?

1. Rs. 75000
2. Rs. 68000
3. Rs. 90000
4. Rs. 84000
5. None of these

17. If the numerator of the fraction is increased by 35 % and the denominator is decreased by 20 %, then the resultant fraction is 27/80. Find the original fraction?

1. 3/7
2. 1/5
3. 4/9
4. 1/6
5. None of these

18. 6 women and 6 men can do a work in 8 days. 5 women and 9 men can do a same work in 6 days. How long will 6 women and 8 men can take to do the work?

1. 6 2/5 days
2. 7 ½ days
3. 5 ¾ days
4. 8 ¼ days
5. None of these

19. A shopkeeper marks his goods at 40 % above its cost price and allows a discount of 15 %. How much profit/Loss percent does he make?

1. 15 %
2. 21 %
3. 24 %
4. 19 %
5. None of these

20. 175 m long train crosses another train of length 200 m in 18 sec, running in opposite direction. If the speed of the first train is 50 km/hr, then find the speed of the second train (in km/hr)?

1. 38 km/hr
2. 23 km/hr
3. 25 km/hr
4. 32 km/hr
5. None of these

Answers:

Directions (Q. 1 – 5)

1. Answer b

Total no of male employees in teaching field is,

= > 50000*(35/100)*(60/100) = 10500

Total no of employees in engineering field is,

= > 50000*(10/100) = 5000

Required ratio =10500 : 5000 = 21 : 10

2. Answer d

Total no of male employees in engineering field is,

= > 50000*(10/100)*(45/100) = 2250

Total no of female employees in medical field is,

= > 50000*(15/100)*(45/100) = 3375

Required % = (2250/3375)*100 = 66.67 % = 67 %

3. Answer c

Total no of employees in Banking, law and teaching field is,

= > 50000*(75/100) = 37500

Average = 37500/3 = 12500

4. Answer a

In the year 2017, banking employees is,

= > 50000*(25/100)*(115/100)

= > 14375

In the year 2017, engineering employees is,

= > 50000*(10/100)*(120/100)

= > 6000

Required % = [(14375 – 6000)/14375]*100

= > 58.26 % = 58 % less

5. Answer c

The percentage of government employees = 4 %

According to the question,

= > 4 % of total population = 50000

= > Total population = 50000*(100/4)

= > 1250000

= > 1.25 lakhs

 

Directions (Q. 6 – 10):

6. Answer a

 [((156 ÷ 4) ÷ 13)² + (32 × 8)^1/2] = (x)²

3² + 256^1/2 = x²

x² = 9 + 16 = 25

x = 5

7. Answer d

(58/100)*4875 + (32*32/8)*4 + 324 = 5x

2827.5 + 512 + 324 = 5x

5x = 3663.5

X = 732.7

8. Answer b

x + 127 = (3/7) * 1190 + 32*32

x + 127 = 510 + 1024

x = 1407

9. Answer c

115x = (3564 + 781) ÷ 55 + 86² + (3/7) of 840 – 15

115x = (4345/55) + (86*86) + (3/7)*840 – 15

115x = 79 + 7396 + 360 – 15

115x = 7820

X = 7820/115 = 68

10. Answer a

(1680/x) + 182 × 11 = 3524 + 5198

(1680/x) = 3524 + 5198 – 2002

(1680/x) = 6720

X = 1680/6720 = (1/4)

 

Directions (Q. 11 – 15):

11. Answer d

The pattern is, ÷ 4 + 2

The answer is, 10.25

12. Answer b
    Explanation:
    The difference of difference is, 1², 3², 5², 7²,..
    The answer is, 298

13. Answer a

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

The answer is, 11955

14. Answer c

The pattern is, *9 + 2

The answer is, 73811

15. Answer b

The pattern is, the difference of two numbers ÷ 2

The answer is, 986

 

16. Answer c

Investment ratio = 4: 5: 7

B’s share = 22500

5’s = 22500

1’s = 4500

16’s = 4500*16 = 72000

80 % of total profit = 72000

(80/100)*total profit = 72000

Total profit = 72000*(100/80) = Rs. 90000

17. Answer b

Let the original fraction be x/y,

[X*(135/100)]/y*(80/100) = 27/80

x/y = (27/80)*(80/135)

x/y = (1/5)

18. Answer a

Total work = (men (or) women)*days

Work equal, so,

(6 w + 6 m)*8 = (5 w + 9 m)*6

48 w + 48 m = 30 w + 54 m

18 w= 6 m

9 w = 3 m

3 w = 1 m

6 w + 6 m = 2 m+ 6 m = 8 m

6 w + 8 m = 2 m + 8 m = 10 m

Men            days

8                  8

10               ?

8*8 = 10x

X= 8*8/10 = 32/5 = 6 2/5 days

19. Answer d

Let us assume the cost price be Rs. 100,

MP = (140/100)*CP = (140/100)*100 = 140

SP = 140*(85/100) = Rs. 119

Profit % = (19/100)*100 = 19 %

20. Answer c

T = D/S

According to the question,

18 = (175 + 200) / [(50 + x)*(5/18)]

18* [(50 + x)*(5/18)] = 375

[(50 + x)*(5/18)] = 375/18

(50 + x) = (375/18)*(18/5)

50+x = 75

X = 25 km/hr

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