IBPS PO Mains 2018 – Quantitative Aptitude Questions Day-17
Dear Readers, Bank Exam Race for theÂ Year 2018 is already started, ToÂ enrichÂ your preparation here we have providing new series of Practice Questions onÂ Quantitative Aptitude – Section. Candidates those who are preparing forÂ IBPS PO Mains 2018 Exams can practice these questions daily and make your preparation effective.
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IBPS PO Mains 2018- Quantitative Aptitude Questions Day â€“ 17
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Question 1 of 10
1. Question
7 years ago, the ratio of age of P and Q is 3: 5. The difference between their ages is 12 years. The average present age of P, Q and R is 30 years. Find the ratio of the age of P, after 15 years to that of the age of R, 8 years ago?
Correct
Answer: a)
7 years ago, the ratio of age of P and Q = 3: 5 (3x, 5x)
The difference between their age = 12 years
5x â€“ 3x = 12
2x = 12
X = 6
The present age of P and Q = 3x + 7, 5x + 7 = 25, 37
The average present age of P, Q and R = 30 years
Total present age of P, Q and R = 30*3 = 90
P + Q + R = 90
25 + 37 + R = 90
R = 90 â€“ 62 = 28
Required ratio = 40: 20 = 2: 1
Incorrect
Answer: a)
7 years ago, the ratio of age of P and Q = 3: 5 (3x, 5x)
The difference between their age = 12 years
5x â€“ 3x = 12
2x = 12
X = 6
The present age of P and Q = 3x + 7, 5x + 7 = 25, 37
The average present age of P, Q and R = 30 years
Total present age of P, Q and R = 30*3 = 90
P + Q + R = 90
25 + 37 + R = 90
R = 90 â€“ 62 = 28
Required ratio = 40: 20 = 2: 1
Question 2 of 10
2. Question
A, B, C started a business with an investment of Rs. 50000, Rs. 36000 and Rs. 42000 respectively. After 5 months from the start of the business, A withdraws Rs. 10000 and at the same time B and C invested Rs. 12000 and Rs. 15000 more respectively. The total profit at the end of the year is Rs. 132400. Find Câ€™s share?
Two pipes can fill a cistern in 12 and 15 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 20 minutes extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it?
Correct
Answer: d)
Two pipes can fill the cistern in one hour,
= > 1/12 + 1/15 = (12 + 15)/(12*15) = 3/20
Hence time taken to fill the cistern = 20/3 hours = 6 2/3 hours = 6 hours 40 minutes.
But due to leak it takes 20 min more.
Hence total time taken = 6 hours 40 minutes + 20 min = 7 hours
Let the leak take n hours to empty the cistern.
So, 1/12 + 1/15 â€“ 1/n = 1/7
= > 3/20 â€“ 1/n = 1/7
= > 1/n = 3/20 â€“ 1/7 = 1/140
Hence the cistern will be emptied in 140 hours.
Incorrect
Answer: d)
Two pipes can fill the cistern in one hour,
= > 1/12 + 1/15 = (12 + 15)/(12*15) = 3/20
Hence time taken to fill the cistern = 20/3 hours = 6 2/3 hours = 6 hours 40 minutes.
But due to leak it takes 20 min more.
Hence total time taken = 6 hours 40 minutes + 20 min = 7 hours
Let the leak take n hours to empty the cistern.
So, 1/12 + 1/15 â€“ 1/n = 1/7
= > 3/20 â€“ 1/n = 1/7
= > 1/n = 3/20 â€“ 1/7 = 1/140
Hence the cistern will be emptied in 140 hours.
Question 4 of 10
4. Question
Find the difference between the compound interest on Rs. 30000 for one year at 10 % per annum compounded annually and compounded half yearly?
Correct
Answer: c)
If the interest compounded annually,
= > 30000*(10/100) = 3000
C.I = Rs. 3000
If the interest compounded half yearly,
= > 30000*(5/100) = 1500
= > 31500*(5/100) = 1575
C.I = 1500 + 1575 = Rs. 3075
Required difference = 3075 â€“ 3000 = Rs. 75
Incorrect
Answer: c)
If the interest compounded annually,
= > 30000*(10/100) = 3000
C.I = Rs. 3000
If the interest compounded half yearly,
= > 30000*(5/100) = 1500
= > 31500*(5/100) = 1575
C.I = 1500 + 1575 = Rs. 3075
Required difference = 3075 â€“ 3000 = Rs. 75
Question 5 of 10
5. Question
The percentage profit earned when the article is sold for Rs. 724 is thrice the percentage profit earned when the same article is sold for Rs. 560. If the mark-up % of the article is 25 %, then find the marked price of the article?
Correct
Answer: b)
According to the question,
SP1 â€“ CP = 3*(SP2 â€“ CP)
724 â€“ CP = 3*(560 â€“ CP)
724 â€“ CP = 1680 â€“ 3CP
2CP = 956
CP = Rs. 478
MP = 478*(125/100) = Rs. 597.50
Incorrect
Answer: b)
According to the question,
SP1 â€“ CP = 3*(SP2 â€“ CP)
724 â€“ CP = 3*(560 â€“ CP)
724 â€“ CP = 1680 â€“ 3CP
2CP = 956
CP = Rs. 478
MP = 478*(125/100) = Rs. 597.50
Question 6 of 10
6. Question
Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions.
The following table shows the cost price, selling price and marked price of the 5 different products. Some values are missing here. We have to solve the missing values according to the questions asked.
Find the difference between the mark-up % and discount % of the product P, if the profit % of product P is 20 %?
Correct
Answer: c)
Selling price of product P = Rs. 540
Marked price of product P = Rs. 720
Cost price of product P = 540*(100/120) = Rs. 450
Discount = MP â€“ SP = 720 â€“ 540 = Rs. 180
Discount % of product P = (Discount/MP)*100
= > (180/720)*100 = 25 %
Mark-up % of product P
= > CP*[(100 + Mark-up %)/100] = MP
= > 450*[(100 + Mark-up %)/100] = 720
= > 100 + Mark-up % = 72000/450
= > 100 + Mark-up % = 160
= > Mark-up % of product P = 60 %
Required difference = 60 â€“ 25 = 35 %
Incorrect
Answer: c)
Selling price of product P = Rs. 540
Marked price of product P = Rs. 720
Cost price of product P = 540*(100/120) = Rs. 450
Discount = MP â€“ SP = 720 â€“ 540 = Rs. 180
Discount % of product P = (Discount/MP)*100
= > (180/720)*100 = 25 %
Mark-up % of product P
= > CP*[(100 + Mark-up %)/100] = MP
= > 450*[(100 + Mark-up %)/100] = 720
= > 100 + Mark-up % = 72000/450
= > 100 + Mark-up % = 160
= > Mark-up % of product P = 60 %
Required difference = 60 â€“ 25 = 35 %
Question 7 of 10
7. Question
Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions.
The following table shows the cost price, selling price and marked price of the 5 different products. Some values are missing here. We have to solve the missing values according to the questions asked.
Find the sum of the marked price of product Q and T, if the profit % and discount % of product Q is 18 % and 5.6 % respectively and the mark-up % of product T is 50 %?
Correct
Answer: a)
Cost price of product Q = Rs. 500
Selling price of Product Q
= > 500*(118/100) = Rs. 590
Marked price of product Q
= > 590*(100/94.4) = Rs. 625
Marked price of Product T
= > CP*[(100 + Mark-up %)/100]
= > 900*[(100 + 50)/100]
= > 900*(150/100) = Rs. 1350
Required sum = 625 + 1350 = Rs. 1975
Incorrect
Answer: a)
Cost price of product Q = Rs. 500
Selling price of Product Q
= > 500*(118/100) = Rs. 590
Marked price of product Q
= > 590*(100/94.4) = Rs. 625
Marked price of Product T
= > CP*[(100 + Mark-up %)/100]
= > 900*[(100 + 50)/100]
= > 900*(150/100) = Rs. 1350
Required sum = 625 + 1350 = Rs. 1975
Question 8 of 10
8. Question
Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions.
The following table shows the cost price, selling price and marked price of the 5 different products. Some values are missing here. We have to solve the missing values according to the questions asked.
The selling price of product R is approximately what percentage of cost price of product P, if the discount % of product R is 5 % and the profit % of product P is 20 %?
Correct
Answer: d)
The cost price of product P
= > 540*(100/120) = Rs. 450
The selling price of product R
= > 780*(95/100) = Rs. 741
Required % = (741/450)*100 = 165 %
Incorrect
Answer: d)
The cost price of product P
= > 540*(100/120) = Rs. 450
The selling price of product R
= > 780*(95/100) = Rs. 741
Required % = (741/450)*100 = 165 %
Question 9 of 10
9. Question
Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions.
The following table shows the cost price, selling price and marked price of the 5 different products. Some values are missing here. We have to solve the missing values according to the questions asked.
Find the average cost price of all the given products together, if the mark-up % of product P is 60 % and the profit % of product S is 22 %?
Correct
Answer: b)
The cost price of product P
= > CP*[(100 + Mark-up %)/100] = MP
= > CP = (720*100)/160 = Rs. 450
The cost price of product S
= > 854*(100/122) = Rs. 700
The total cost price of all the given products together
= > (450 + 500 + 650 + 700 + 900) = Rs. 3200
Required average = 3200/5 = Rs. 640
Incorrect
Answer: b)
The cost price of product P
= > CP*[(100 + Mark-up %)/100] = MP
= > CP = (720*100)/160 = Rs. 450
The cost price of product S
= > 854*(100/122) = Rs. 700
The total cost price of all the given products together
= > (450 + 500 + 650 + 700 + 900) = Rs. 3200
Required average = 3200/5 = Rs. 640
Question 10 of 10
10. Question
Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions.
The following table shows the cost price, selling price and marked price of the 5 different products. Some values are missing here. We have to solve the missing values according to the questions asked.
1) 7 years ago, the ratio of age of P and Q is 3: 5. The difference between their ages is 12 years. The average present age of P, Q and R is 30 years. Find the ratio of the age of P, after 15 years to that of the age of R, 8 years ago?
a) 2: 1
b) 3: 2
c) 3: 1
d) 5: 4
e) None of these
2) A, B, C started a business with an investment of Rs. 50000, Rs. 36000 and Rs. 42000 respectively. After 5 months from the start of the business, A withdraws Rs. 10000 and at the same time B and C invested Rs. 12000 and Rs. 15000 more respectively. The total profit at the end of the year is Rs. 132400. Find Câ€™s share?
a) Rs. 51250
b) Rs. 46780
c) 48720
d) Rs. 42560
e) None of these
3) Two pipes can fill a cistern in 12 and 15 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, 20 minutes extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it?
a) 125 hours
b) 160 hours
c) 175 hours
d) 140 hours
e) None of these
4) Find the difference between the compound interest on Rs. 30000 for one year at 10 % per annum compounded annually and compounded half yearly?
a) Rs. 84
b) Rs. 96
c) Rs. 75
d) Rs. 80
e) None of these
5) The percentage profit earned when the article is sold for Rs. 724 is thrice the percentage profit earned when the same article is sold for Rs. 560. If the mark-up % of the article is 25 %, then find the marked price of the article?
a) Rs. 560
b) Rs. 597.50
c) Rs. 575.50
d) Rs. 615
e) None of these
Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions.
The following table shows the cost price, selling price and marked price of the 5 different products. Some values are missing here. We have to solve the missing values according to the questions asked.
6) Find the difference between the mark-up % and discount % of the product P, if the profit % of product P is 20 %?
a) 40 %
b) 25 %
c) 35 %
d) 30 %
e) None of these
7) Find the sum of the marked price of product Q and T, if the profit % and discount % of product Q is 18 % and 5.6 % respectively and the mark-up % of product T is 50 %?
a) Rs. 1975
b) Rs. 2150
c) Rs. 2325
d) Rs. 1860
e) None of these
8) The selling price of product R is approximately what percentage of cost price of product P, if the discount % of product R is 5 % and the profit % of product P is 20 %?
a) 50 %
b) 90 %
c) 105 %
d) 165 %
e) 75 %
9) Find the average cost price of all the given products together, if the mark-up % of product P is 60 % and the profit % of product S is 22 %?
a) Rs. 680
b) Rs. 640
c) Rs. 720
d) Rs. 700
e) None of these
10) Find the discount % of product S?
a) 25 %
b) 20 %
c) 30 %
d) 15 %
e) None of these
Answers :
1) Answer: a)
7 years ago, the ratio of age of P and Q = 3: 5 (3x, 5x)
The difference between their age = 12 years
5x â€“ 3x = 12
2x = 12
X = 6
The present age of P and Q = 3x + 7, 5x + 7 = 25, 37