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Directions (Q. 1 – 5) Study the following information carefully and answer the given questions:
Following line graph shows the % profit of two companies A and B in different years.
Profit % = [(Income – Expenditure)/Expenditure]*100
- If the expenditure of Company A in the year 2012 is 32 lakhs and the income of Company B in the year 2014 is 13 lakhs more than the expenditure of company A in the year 2012, then the income of company A in 2012 is approximately what percentage of the expenditure of company B in the year 2014?
- 112 %
- 94 %
- 100 %
- 88 %
- 124 %
- If the expenditure of company A in the year 2013 and the expenditure of company B in the year 2015 is same and the income of company A in the year 2013 is 44.25 lakhs, then find the income of company B in the year 2015?
- 63 lakhs
- 51 lakhs
- 47 lakhs
- 39 lakhs
- None of these
- If the income of company A and B in the year 2014 is same, then the ratio of expenditure of company A and B in the year 2014 is?
- 24 : 25
- 16 : 23
- 31 : 39
- 8 : 11
- None of these
- If the income of company B in the year 2016 is 37.8 lakhs and the expenditure of company A in the year 2015 is 27 lakhs, then the expenditure of company B in the year 2016 is approximately what percentage more/less than the income of company A in the year 2015?
- 24 % more
- 32 % more
- 8 % less
- 13 % less
- 18 % more
- If the expenditure of company A and B in the year 2015 is 27 lakhs and 33 lakhs respectively, then find the difference between the income of company A and B in the year 2015?
- 11.44 lakhs
- 15.78 lakhs
- 10.32 lakhs
- 18.15 lakhs
- None of these
Directions (Q. 6 – 10) Study the following information carefully and answer the given questions:
The bar graph shows the airfare (in Rs.) for various routes in different years.
- Find the difference between the total airfare in 2015 to that of total airfare in 2017 for all the given routes together?
- Rs. 4550
- Rs. 5680
- Rs. 6420
- Rs. 3490
- None of these
- Find the ratio between the total airfare of Delhi – Chennai route to that of Chennai – Mumbai for all the given years together?
- 56 : 75
- 45 : 77
- 73 : 66
- 65 : 41
- None of these
- Total airfare in the year 2016 for the routes of Chennai – Mumbai, Delhi – Patna and Chennai – Pune together is approximately what percentage of total airfare in the year 2017 for the routes of Kerala – Mumbai, Delhi – Chennai and Chennai – Pune together?
- 50 %
- 62 %
- 77 %
- 86 %
- 45 %
- Find the average airfare of all the given routes together in the year 2016?
- 5170
- 6340
- 3890
- 4660
- None of these
- Total airfare in the year 2017 is approximately what percentage more than the total airfare in the year 2016, for all the given routes together?
- 18 %
- 10 %
- 27 %
- 33 %
- 45 %
Answers:
- Answer c
The expenditure of Company A in the year 2012 = 32 lakhs
The income of Company B in the year 2014 = 13 + 32 = 45 lakhs
The income of company A in 2012
= > 16 = [(I – 32)/32]*100
= > 512 + 3200 = 100I
= > I = 3712/100 = 37.12 lakhs
The expenditure of Company B in the year 2014
= > 20 = [45 – e)/e]*100
= > 20e = 4500 – 100e
= > 120e = 4500
= > e = (4500/120) = 37.5 lakhs
Required % = (37.12/37.5)*100 = 98.98 % = 100 %
2. Answer b
The income of company A in the year 2013 = 44.25 lakhs
The expenditure of company A in the year 2013
= > 18 = [(44.25 – e)/e]*100
= > 118e = 4425
= > e = (4425/118) = 37.5 lakhs
The expenditure of company A in the year 2013 = The expenditure of company B in the year 2015
The expenditure of company B in the year 2015 = 37.5 lakhs
The income of company B in the year 2015
= > 36 = [(I – 37.5)/37.5]*100
= > 1350 = 100I – 3750
5100 = 100I
I = 51 lakhs
3. Answer a
Let the income of company A and B in the year 2014 be x,
The expenditure of company A in the year 2014
= > 25 = [(x – E1)/E1]*100
= > 125E1 = 100x
= > E1 = (100x/125) = (4x/5)
The expenditure of company B in the year 2014
= > 20 = [(I – E2)/E2]*100
= > 120E2 = 100x
= > E2 = (100x/120) = (5x/6)
Required ratio
= > (4x/5): (5x/6)
= > 24: 25
4. Answer d
The income of company B in the year 2016 = 37.8 lakhs
The expenditure of company B in the year 2016
= > 26 = [(37.8 – e)/e]*100
= > 126e = 3780
= > e = (3780/126) = 30 lakhs
The expenditure of company A in the year 2015 = 27 lakhs
The income of company A in the year 2015
= > 28 = [(I – 27)/27]*100
= > 756 = 100I – 2700
= > 3456 = 100I
= > I = 34.56 lakhs
Required % = [(34.56- 30)/34.56]*100 = 13.19 % = 13 % less
5. Answer c
The expenditure of company A in the year 2015 = 27 lakhs
The income of company A in the year 2015
= > 28 = [(I – 27)/27]*100
= > 756 = 100I – 2700
= > 3456 = 100I
= > I = 34.56 lakhs
The expenditure of company B in the year 2015 = 33 lakhs
The income of company B in the year 2015
= > 36 = [(I – 33)/33]*100
= > 1188 = 100I – 3300
= > I = (4488/100) = 44.88 lakhs
Required difference = 44.88 – 34.56 = 10.32 lakhs
Direction (6-10)
6. Answer a
The total airfare in 2015 for all the given routes together
= > 6500 + 4000 + 4500 + 2900 + 3100
= > 21000
The total airfare in 2017 for all the given routes together
= > 8500 + 4800 + 5300 + 3200 + 3750
= > 25550
Required difference = 25550 – 21000 = Rs. 4550
7. Answer c
The total airfare of Delhi – Chennai route for all the given years together
= > 4500 + 4800 + 5300 = 14600
The total airfare of Chennai – Mumbai for all the given years together
= > 4000 + 4400 + 4800 = 13200
Required ratio = 14600: 13200 = 73: 66
8. Answer b
Total airfare in the year 2016 for the routes of Chennai – Mumbai, Delhi – Patna and Chennai – Pune together
= > 4400 + 3000 + 3500 = 10900
Total airfare in the year 2017 for the routes of Kerala – Mumbai, Delhi – Chennai and Chennai – Pune together
= > 8500 + 5300 + 3750 = 17550
Required % = (10900/17550)*100 = 62.108 % = 62 %
9. Answer d
The total airfare of all the given routes together in the year 2016
= > 7600 + 4400 + 4800 + 3000 + 3500
= > 23300
Required average = (23300/5) = 4660
10. Answer b
Total airfare in the year 2017 for all the given routes together
= > 8500 + 4800 + 5300 + 3200 + 3750
= > 25550
Total airfare in the year 2016 for all the given routes together
= > 7600 + 4400 + 4800 + 3000 + 3500
= > 23300
Required % = [(25550 – 23300)/23300]*100 = 9.656 % = 10 %
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