Canara Bank PO Mains 2018 – Quantitative Aptitude Questions Day-47
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Canara Bank PO Mains 2018- Quantitative Aptitude Questions Day â€“ 47
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Question 1 of 10
1. Question
A train travelling at 40 km/hr crosses another train of length equivalent to two-thirds of its own length travelling in opposite direction at 50 km/hr in 18 seconds. Find the length of the second train?
Correct
Answer: b)
Relative speed of the trains = 40 + 50 = 90 km/hr
In m/s = 90*(5/18) = 25 m/s
Let the length of first train be x and second be 2x/3
(x + (2x/3))/25 =18
X + (2x/3) = 450
X = 450*(3/5)
X = 270 m
Length of second train = 2x/3 = (2*270)/3 = 180 m
Incorrect
Answer: b)
Relative speed of the trains = 40 + 50 = 90 km/hr
In m/s = 90*(5/18) = 25 m/s
Let the length of first train be x and second be 2x/3
(x + (2x/3))/25 =18
X + (2x/3) = 450
X = 450*(3/5)
X = 270 m
Length of second train = 2x/3 = (2*270)/3 = 180 m
Question 2 of 10
2. Question
A sold an article for Rs. 1767 and earned a profit of 14 %. At what price should it have been sold so as to earn a profit of 26 %?
Correct
Answer: c)
Shortcut:
(100+ Profit %)/SP1 = (100 + Profit %)/SP2
(100 + 14)/1767 = (100 + 26)/SP2
(114/1767) = (126/SP2)
SP2 = 126*(1767/114) = Rs. 1953
Incorrect
Answer: c)
Shortcut:
(100+ Profit %)/SP1 = (100 + Profit %)/SP2
(100 + 14)/1767 = (100 + 26)/SP2
(114/1767) = (126/SP2)
SP2 = 126*(1767/114) = Rs. 1953
Question 3 of 10
3. Question
The difference between Simple interest and Compound interest on a certain sum at the rate of 20% per annum for two years is Rs.1680. Find the simple interest on that sum at the rate of 14% per annum after 8 years?
Correct
Answer: d)
The difference between CI and SI for two years is,
Diff = P*(r/100)^{2}
= > 1680 = P*(20/100)^{2}
= > 1680 = P*(1/5)^{2}
= > 1680 = P*(1/25)
= > P = Rs. 42000
SI = (42000*14*8)/100 = Rs. 47040
Incorrect
Answer: d)
The difference between CI and SI for two years is,
Diff = P*(r/100)^{2}
= > 1680 = P*(20/100)^{2}
= > 1680 = P*(1/5)^{2}
= > 1680 = P*(1/25)
= > P = Rs. 42000
SI = (42000*14*8)/100 = Rs. 47040
Question 4 of 10
4. Question
P, Q and R started a business with investments of Rs. 1600, Rs. 2100 and Rs. 1500 respectively. After 8 months from the start of the business, Q and R invested additional amounts in the ratio of 3: 5 respectively. If the ratio of total annual profit to Râ€™s share in the annual profit was 3: 1, then what was the additional amount invested by Q after 8 months?
Correct
Answer: c)
Let the ratio additional amount of Q and R be 3x and 5x
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?
Correct
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 â€“ 32)/32]*100
= > 512 + 3200 = 100I
= > I = 3712/100 = 37.12 lakhs
The expenditure of Company B in the year 2014
= > 20 = [45 â€“ e)/e]*100
= > 20e = 4500 â€“ 100e
= > 120e = 4500
= > e = (4500/120) = 37.5 lakhs
Required % = (37.12/37.5)*100 = 98.98 % = 100 %
Incorrect
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 â€“ 32)/32]*100
= > 512 + 3200 = 100I
= > I = 3712/100 = 37.12 lakhs
The expenditure of Company B in the year 2014
= > 20 = [45 â€“ e)/e]*100
= > 20e = 4500 â€“ 100e
= > 120e = 4500
= > e = (4500/120) = 37.5 lakhs
Required % = (37.12/37.5)*100 = 98.98 % = 100 %
Question 7 of 10
7. Question
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions.
The following line graph shows the % profit of two companies A and B in different years.
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?
Correct
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 â€“ 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 â€“ 37.5)/37.5]*100
= > 1350 = 100I â€“ 3750
5100 = 100I
I = 51 lakhs
Incorrect
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 â€“ 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 â€“ 37.5)/37.5]*100
= > 1350 = 100I â€“ 3750
5100 = 100I
I = 51 lakhs
Question 8 of 10
8. Question
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions.
The following line graph shows the % profit of two companies A and B in different years.
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?
Correct
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 â€“ e)/e]*100
= > 126e = 3780
= > e = (3780/126) = 30 lakhs
The expenditure of company A in the year 2015 = 27 lakhs
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?
Correct
Answer: c)
The expenditure of company A in the year 2015 = 27 lakhs
The income of company A in the year 2015
= > 28 = [(I â€“ 27)/27]*100
= > 756 = 100I â€“ 2700
= > 3456 = 100I
= > I = 34.56 lakhs
The expenditure of company B in the year 2015 = 33 lakhs
1) A train travelling at 40 km/hr crosses another train of length equivalent to two-thirds of its own length travelling in opposite direction at 50 km/hr in 18 seconds. Find the length of the second train?
a) 150 m
b) 180 m
c) 225 m
d) 175 m
e) None of these
2) A sold an article for Rs. 1767 and earned a profit of 14 %. At what price should it have been sold so as to earn a profit of 26 %?
a) Rs. 1895
b) Rs. 1927
c) Rs. 1953
d) Rs. 1976
e) None of these
3) The difference between Simple interest and Compound interest on a certain sum at the rate of 20% per annum for two years is Rs.1680. Find the simple interest on that sum at the rate of 14% per annum after 8 years?
a) Rs. 44040
b) Rs. 47340
c) Rs. 45040
d) Rs. 47040
e) None of these
4) P, Q and R started a business with investments of Rs. 1600, Rs. 2100 and Rs. 1500 respectively. After 8 months from the start of the business, Q and R invested additional amounts in the ratio of 3: 5 respectively. If the ratio of total annual profit to Râ€™s share in the annual profit was 3: 1, then what was the additional amount invested by Q after 8 months?
a) Rs. 1300
b) Rs. 1100
c) Rs. 900
d) Rs. 700
e) None of these
5) The radius of the semicircle is equal to the half the side of the square. The area of the square is 1764 Sq cm. Find the perimeter of the semicircle.
a) 86 cm
b) 92 cm
c) 108 cm
d) 116 cm
e) None of these
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions.
The following line graph shows the % profit of two companies A and B in different years.
6) 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?
a) 112 %
b) 96 %
c) 100 %
d) 88 %
e) 124 %
7) 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?
a) 63 lakhs
b) 51 lakhs
c) 47 lakhs
d) 39 lakhs
e) None of these
8) 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?
a) 24: 25
b) 16: 23
c) 31: 39
d) 8: 11
e) None of these
9) 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?
a) 24 % more
b) 32 % more
c) 8 % less
d) 13 % less
e) 18 % more
10) 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?
a) 11.44 lakhs
b) 15.78 lakhs
c) 10.32 lakhs
d) 18.15 lakhs
e) None of these
Answers :
1) Answer: b)
Relative speed of the trains = 40 + 50 = 90 km/hr
In m/s = 90*(5/18) = 25 m/s
Let the length of first train be x and second be 2x/3
(x + (2x/3))/25 =18
X + (2x/3) = 450
X = 450*(3/5)
X = 270 m
Length of second train = 2x/3 = (2*270)/3 = 180 m
2) Answer: c)
Shortcut:
(100+ Profit %)/SP1 = (100 + Profit %)/SP2
(100 + 14)/1767 = (100 + 26)/SP2
(114/1767) = (126/SP2)
SP2 = 126*(1767/114) = Rs. 1953
3) Answer: d)
The difference between CI and SI for two years is,
Diff = P*(r/100)^{2}
= > 1680 = P*(20/100)^{2}
= > 1680 = P*(1/5)^{2}
= > 1680 = P*(1/25)
= > P = Rs. 42000
SI = (42000*14*8)/100 = Rs. 47040
4) Answer: c)
Let the ratio additional amount of Q and R be 3x and 5x