Quantitative
Aptitude Practice Questions for IBPS PO Mains – Set 1
Directions
(1 – 8): Study the following
table carefully to answer the questions.
Rate of interest (P.C.P.A.) offered by five companies on
deposits under different schemes
Company →
Scheme ↓

A

B

C

D

E

I

8.0

9.5

8.5

8.5

9.5

II

9.0

8.0

9.5

10.0

8.5

III

8.5

9.0

7.0

8.0

8.0

IV

9.5

8.5

10.0

9.0

1. Sahib deposited an amount in Scheme II with
Company A for two years. After that he withdrew the amount and reinvested only
the principal amount in Scheme IV of Company C for three years. Total amount of
simple interest accrued from the two schemes is Rs.1200. What was the principal
amount?
a) Rs. 2000
b) Rs. 2100
c) Rs. 2500
d) Rs. 2700
e) None of these
2. Company D offers compound interest under Scheme
II and Company B offers simple interest under Scheme II. What will be the
difference between the interests earned under Scheme IIof Company D and Scheme
II of Company B in two years on an amount of Rs. 1.4 lakhs?
a) Rs. 5000
b) Rs. 6000
c) Rs. 7000
d) Rs. 7500
e) Rs. 8500
3. Company E offers compound interest under Scheme
II, simple interest under Scheme IV. Tanish invested Rs. 20,000 with this
company under Scheme IV and after one year switched to Scheme II along with the
interest of the first year for two more years.
What is the total amount he will get at the end of three years?
a) Rs. 23,499
b) Rs. 24,599
c) Rs. 25,899
d) Rs. 26,499
e) Rs. 26,899
4. Harsh invested an amount of Rs. 40,000 for two
years with Company A under Scheme IV, which offers simple interest, andSagar
invested an equal amount for two years with Company D under Scheme III, which
offers compound interest. Who earned more interest and how much?
a) Harsh, Rs. 944
b) Sagar, Rs. 944
c) Harsh, Rs. 1561
d) Sagar, Rs. 1561
e) Both earned equal
5. Jatin invested Rs. 25,000 in Company B under
Scheme III, which offers compound interest calculated half yearly and Rs.
30,000 in Company D under Scheme II, which offers compound interestcalculated
yearly. What will be the total amount of interest earned by Jatin in two years?
a) Rs. 10,573
b) Rs. 11,113
c) Rs. 11,243
d) Rs. 11,783
e) None of these
Directions
(6 – 10): Study the following
information carefully and answer the question given below it.
Out of the 10,000
candidates eligible for an Officer’s post in Public Sector Bank, 400 candidates
have prior experience of working in Public Sector Banks in rural area only. 20%
of the total number of candidates have prior experience of working in Public
Sector Banks in urban areas only. 10% of the total number of candidates have
prior experience of working in Private Sector Banks in urban areas only. 4% of
the total number of candidates have prior experience of working in Private
Sector banks in rural areas only. 2,100 candidates have worked in both Public
and Private Sector Banks in urban areas only. 450 candidates have worked in
both Public and Private Sector Banks in rural areas only. The remaining
candidates have no prior experience of working in the Banking industry.
6. How many candidates have prior experience of
working in rural areas (both Public Sector and Private Sector Banks together)?
a) 950
b) 1,150
c) 1,350
d) 1,400
e) 1,750
7. How many candidates have prior experience of
working in Public Sector Banks (Urban and Rural areas together)?
a) 4,850
b) 5,050
c) 7,550
d) 8,450
e) None of these
8. What is the ratio of the candidates who have a
prior experience of working in Public Sector Banks in urban areas only to the
candidates who have a prior experience of working in Banks in urban areas?
a) 21 : 10
b) 10 : 21
c) 20 : 51
d) 51 : 20
e) None of these
9. What is the total number of candidates who have
worked in Private Sector Bank in urban areas?
a) 850
b) 950
c) 3,100
d) 4,100
e) None of these
10. What is the percentage of the candidates who
have worked in both Public and Private sector banks to the candidates who have
no prior experience of working in the banking industry?
a) 63%
b) 67%
c) 70%
d) 72%
e) 75%
11. What is the average profit earned by the
company over the years?
a) Rs. 42500000
b) Rs. 420000000
c) Rs. 428000000
d) Rs. 430000000
e) None of these
12. In which year is the percent increase /
decrease in profit the highest from that of the previous year?
a) 2002
b) 2001
c) 2003
d) 2004
e) None of these
13. The expenditure of the company in the year
2001, was Rs. 45 crore, what was the income of the comapany in that year?
a) Rs. 400000000
b) Rs. 600000000
c) Rs. 55000000
d) Rs. 60000000
e) None of these
14. What is the approximate per cent profit of the
year 2004, if the income of the company was Rs. 136 crore?
a) 85
b) 75
c) 79
d) 82
e) 73
15. The income of the company in the year 2000 was
Rs. 50 crore and the income of the company in the year 2003 was Rs. 95 crore.
What is the respetive ratio of the expenditure of the company in the year2000
to the expenditure of the company is the year 2003?
a) 5 : 9
b) 1 : 3
c) 4 : 7
d) 4 : 9
e) None of these
Solutions:
1. C) Interest = PRT/100
Where P = Principal, R
= Rate of interest, T = Time
For the first two years
in Scheme II of company A
Let the principal be P
Rate of interest = 9%
⇒ S.I. = (P × 9 × 2)/100 = 18P/100
For the next three years
in Scheme IV of company C
Let the principal be P
Rate of interest = 10%
⇒ S.I. = (P × 10 × 3)/100 = 3P/10
⇒ Total interest = 18P/100 + 3P/10 = 48P/100
Total interest = Rs. 1200
48P/100 = 1200
P = Rs. 2500
2. C) The
formula for annual compound interest, including principal sum, is:
CI = P (1 + r/100)^nt – P
For company D under
Scheme II
Principal = Rs. 1,40,00
Rate of interest = 10%
Interest is calculated
annually, n = 1
Time (t) = 2 years
⇒ C.I. = 140000(1 + (10/100))^{2 }– 140000 = Rs.
29400
For company B under
Scheme II
Interest = PRT/100
Where P = Principal, R =
Rate of interest, T is the time for which money is borrowed/lent
Principal = Rs. 1,40,00
Rate of interest = 8%
Time (T) = 2 years
⇒ Interest = (140000 × 8 × 2)/100 = Rs. 22400
⇒ Difference between interests earned = 29400 – 22400 = Rs. 700
3. C) Under
scheme IV for 1 year
Rate of interest = 10%
Principal = Rs. 20000
⇒ Interest = (20000 × 10 × 1)/100 = Rs. 2000
⇒ Total amount = 20000 + 2000 = Rs. 22000
Under scheme II for 1
year
CI = P (1 + r/100)^nt – P
Rate of interest = 8.5%
n = 1, t = 1 year, P =
Rs. 22000
⇒ A = 22000(1 + 8.5/100)^{2} = Rs. 25898.95 = Rs.
25,899
4. A) For
Harsh
Rate of interest = 9.5%
Interest = (40000 × 9.5 ×
2)/100 = Rs. 7600
For Sagar
Rate of interest = 8%
CI = P (1 + r/100)^nt – P
P = Rs. 40000
t = 2 years, n = 1
⇒ C.I. = 40000(1 + 8/100)^{2} – 40000 = Rs. 6656
⇒ Harsh receives more interest i.e. = 7600  6656 = Rs. 944
5. B) For
Company B under Scheme III,
P = Rs. 25000
t = 2 years
r = 9%
n = 2
⇒ C.I. = 25000(1 + 9/200)^{4} – 25000 = Rs. 4813
Company D under Scheme
II,
P = Rs. 30000
t = 2 years; r = 10%; n =
1
⇒ C.I. = 30000(1 + 10/100)^{2} – 30000 = Rs. 6300
⇒ Total interest earned = 4813 + 6300 = Rs. 11113
(6 – 10): Common Explanation:
Total number of
candidates = 10000
⇒ Candidates having experience in Public Sector Banks in rural
area only = 500
⇒ Candidates having experience in Public Sector Banks in urban
area only = 20% = 2000
⇒ Candidates having experience in Private Sector Banks in
urban area only = 10% = 1000
⇒ Candidates having experience in Private Sector Banks in
rural area only = 4% = 400
⇒ Candidates having experience in Public and private Sector
Banks in urban area only = 2100
⇒ Candidates having experience in Public and private Sector
Banks rural area only = 450
⇒ Candidates having no experience = 10000  (500 + 2000 + 1000
+ 400 + 2100 + 450) = 3550
6. C) For rural area
⇒ Total candidates = 500 + 400 + 450 = 1350
7. B) ⇒ Total candidates having experience in public sector banks =
500 + 2000 + 2100 + 450 = 5050
8. C) ⇒ Total number of candidates who have worked in urban areas =
2000 + 1000 + 2100 = 5100
⇒ required ratio = 2000/5100 = 20/51
9. C) ⇒ Total candidates having experience in private sector in
urban area = 1000 + 2100 = 3100
10. D) ⇒ Candidates having no experience = 3550
⇒ Total candidates having experience
working in both banks = 2100 + 450 = 2550
⇒ Percentage = (2550/3550) × 100 = 71.83% = 72%
11. E) The
avg. of profits = Total Profits/No.of years
Total profits in 6 years
= 30 + 15 + 45 + 50 + 60 + 55 = 255
So, avg = 255/6 = 42.5
crores = Rs 425000000
12. A) Profit%
= (This year profit – Previou year profit)/Previous year Profit × 100
Profit in year

Profit in crores

Profit %

2000

30



2001

15

50%

2002

45

200%

2003

50

11%

2004

60

20%

2005

55

8%

Comparing the magnitudes,
we can say that the year of highest per cent increase / decrease in profit is
2002.
13. B) Income
of company = expenditure + Profit
Expenditure = 45 crore
Profit in 2001 = 15
crores (from line graph)
Thus, income = 45 + 15 =
60 crores = Rs 60,00,00,000
14. C) Income of company = expenditure +
profit of a company
Therefore, expenditure in
2004 = 136 – 60 = 76 …(1) {From line
graph profit in 2004 = 60 }
Therefore profit
percentage = Profit/Expenditure × 100 = 60/76 × 100 = 79%
15. D) Expenditure
of a company = Income of a company + Profit by a company
Thus from the above
formula, expenditure of a company in 2000 = 50 crores – 30 crores {∵ from line graph profit of company is 30 crores in 2000}
Expenditure of company in
2000 = 20 crores
Similarily, expenditure
of company in 2003 = 95crores – 50 crores = 45 crores.
So, ratio of expenditure
of company in 2000 to 2003 = 20/45 = 4/9