IBPS PO/MT  Quantitative Aptitude
Quantitative Aptitude
1. This Section consists of 50 questions.
2. All questions are compulsory and carry equal marks.
3. Answer the questions quickly and as carefully as you can.
4. Some questions may be difficult and others easy.
5. Do not spend too much time on any question.
Start
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Question 1 
1. A, B and C started a business by investing
Rs.18000, Rs.8000 and Rs.15000 respectively. At the end
of 6 months from the start of the business, A and B
invested an additional amount ` 2000 each and C
withdrew Rs.4000. If at the end of the year, the annual
profit received was Rs.10250, what was B’s share in
the profit?
A  Rs.2250 
B  Rs.2475 
C  Rs.2070 
D  Rs.2180 
E  Rs.2380 
Question 2 
Directions (Q. Nos. 26) Study the table and answer
the given questions.
Note (i) Data regarding number of students studying in
colleges A, B, C and D in the year 2009. The
mentioned colleges offer courses in three
streams only Arts, Com merce and Science.
(ii) Total student strength Students studying (Arts +
Commerce + Science)
2. What is the average number of students studying Science in all the numbered colleges?
2. What is the average number of students studying Science in all the numbered colleges?
A  875 
B  925 
C  800 
D  825 
E  820 
Question 3 
Directions (Q. Nos. 26) Study the table and answer
the given questions.
Note (i) Data regarding number of students studying in
colleges A, B, C and D in the year 2009. The
mentioned colleges offer courses in three
streams only Arts, Com merce and Science.
(ii) Total student strength Students studying (Arts +
Commerce + Science)
3. Total number of students studying Arts and Commerce together in college A is what percent more than that in college B?
3. Total number of students studying Arts and Commerce together in college A is what percent more than that in college B?
A  240% 
B  150% 
C  180% 
D  250% 
E  200% 
Question 4 
Directions (Q. Nos. 26) Study the table and answer
the given questions.
Note (i) Data regarding number of students studying in
colleges A, B, C and D in the year 2009. The
mentioned colleges offer courses in three
streams only Arts, Com merce and Science.
(ii) Total student strength Students studying (Arts +
Commerce + Science)
54. Number of students studying Arts in college C is what percent of number of students studying Arts in college D?
54. Number of students studying Arts in college C is what percent of number of students studying Arts in college D?
A  21 2/3% 
B  27 1/12% 
C  32 1/12% 
D  30% 
E  25% 
Question 5 
Directions (Q. Nos. 26) Study the table and answer
the given questions.
Note (i) Data regarding number of students studying in
colleges A, B, C and D in the year 2009. The
mentioned colleges offer courses in three
streams only Arts, Com merce and Science.
(ii) Total student strength Students studying (Arts +
Commerce + Science)
5. What is the total number of students studying Commerce in colleges C and A together?
5. What is the total number of students studying Commerce in colleges C and A together?
A  2350 
B  1450 
C  2170 
D  2850 
E  3520 
Question 6 
Directions (Q. Nos. 26) Study the table and answer
the given questions.
Note (i) Data regarding number of students studying in
colleges A, B, C and D in the year 2009. The
mentioned colleges offer courses in three
streams only Arts, Commerce and Science.
(ii) Total student strength Students studying (Arts +
Commerce + Science)
6. What is the difference between the total students strength of colleges A and B together and that of colleges C and D together?
6. What is the difference between the total students strength of colleges A and B together and that of colleges C and D together?
A  2900 
B  2380 
C  3100 
D  3900 
E  1900 
Question 7 
7. While purchasing a flight ticket, Sonakshi got a
promotional discount of 20% on the fare but she had
to pay 12.5% service tax on the discounted fare and
Rs. 100 as convenience fee. If Sonakshi paid Rs.3160 as
the total fare, how much promotional discount did
she get?
A  Rs. 480 
B  Rs. 580 
C  Rs. 720 
D  Rs. 680 
E  Rs. 750 
Question 8 
8. A sum of money (Rs. X) was invested for 5 years in
a scheme which offers simple interest at a rate of
12% per annum. The amount received after 5 years
was reinvested in the same scheme for the same
period. If the amount received after reinvesting for
the same period is Rs. 780 more than Rs. X, what was the
initial sum of money (Rs. X) invested in the scheme?
A  Rs. 500 
B  Rs. 400 
C  Rs. 550 
D  Rs. 850 
E  Rs. 600 
Question 9 
Directions (Q. Nos. 913) What will come in place of
question marks in the given number series?
9.
A  5 
B  7 
C  3 
D  8 
E  11 
Question 10 
Directions (Q. Nos. 913) What will come in place of
question marks in the given number series?
10.
A  10.5 
B  12.5 
C  13.5 
D  12 
E  10 
Question 11 
Directions (Q. Nos. 913) What will come in place of
question marks in the given number series?
11.
A  5 
B  5.5 
C  6 
D  4 
E  3 
Question 12 
Directions (Q. Nos. 913) What will come in place of
question marks in the given number series?
12.
A  1285 
B  1474 
C  846 
D  725 
E  920 
Question 13 
Directions (Q. Nos. 913) What will come in place of
question marks in the given number series?
13.
A  43 
B  31 
C  29 
D  37 
E  47 
Question 14 
Directions (Q. Nos. 1418) In the following questions
two equations numbered I and II are given. Solve both the
equations and
14.
14.
A  if x > y 
B  if x ≥ y 
C  if x < y 
D  if x ≤ y 
E  if x = y or the relationship cannot be established 
Question 15 
Directions (Q. Nos. 1418) In the following questions
two equations numbered I and II are given. Solve both the
equations and
15.
15.
A  if x > y 
B  if x ≥ y 
C  if x < y 
D  if x ≤ y 
E  if x = y or the relationship cannot be established

Question 16 
Directions (Q. Nos. 1418) In the following questions
two equations numbered I and II are given. Solve both the
equations and
16.
16.
A  if x > y 
B  if x ≥ y 
C  if x < y 
D  if x <=y

E  if x = y or the relationship cannot be established 
Question 17 
Directions (Q. Nos. 1418) In the following questions
two equations numbered I and II are given. Solve both the
equations and
17.
17.
A  if x > y 
B  if x ≥ y 
C  if x < y 
D  if x < = y 
E  if x = y or the relationship cannot be established 
Question 18 
Directions (Q. Nos. 1418) In the following questions
two equations numbered I and II are given. Solve both the
equations and
18.
18.
A  if x > y 
B  if x ≥ y 
C  if x ≥ y 
D  if x <= y

E  if x = y or the relationship cannot be established

Question 19 
19.The sum of side of a square and length of a
rectangle is 30 m and the sum of the side of the
square and breadth of the rectangle is 24 m. If the
length of the rectangle is twice its breadth, what is
the respective ratio between the area of the square
and the area of the rectangle?
A  9 : 2 
B  7 : 4 
C  9 : 5 
D  9 : 4 
E  7 : 2 
Question 20 
20.The average of 12 observations is 8, later it was
observed that one observation 10 is wrongly written
as 13. The correct average of observation is
A  7 
B  17.5 
C  7.75 
D  8 
E  5 
Question 21 
Directions (Q. Nos. 2124) Each of the questions below
consists of a question and two statements numbered I
and II given below it. You have to decide whether the data
provided in the statements are sufficient to answer the
question. Read both statements and
21.
In how many days A, B and C together finish a piece of work?
I. A and B together can finish the same piece of work in 8 2/3 days. B and C together can finish the same piece of work in 13 1/3 days. C and A together can finish the same piece of work in 11 3/7 days.
II. The time taken by A alone to finish the same piece of work is 24 days less than time taken by C alone to finish the same piece of work.
21.
In how many days A, B and C together finish a piece of work?
I. A and B together can finish the same piece of work in 8 2/3 days. B and C together can finish the same piece of work in 13 1/3 days. C and A together can finish the same piece of work in 11 3/7 days.
II. The time taken by A alone to finish the same piece of work is 24 days less than time taken by C alone to finish the same piece of work.
A  if the data in statement I alone are sufficient to answer the
question, while the data in statement II alone are not
sufficient to answer the question 
B  if the data in statement II alone are sufficient to answer the
question, while the data in statement I alone are not sufficient
to answer the question 
C  if the data in statement I alone or in statement II alone are
sufficient to answer the question 
D  if the data in both the statements I and II are not sufficient to
answer the question 
E  if the data in both the statements I and II together are
necessary to answer the question 
Question 22 
Directions (Q. Nos. 2124) Each of the questions below
consists of a question and two statements numbered I
and II given below it. You have to decide whether the data
provided in the statements are sufficient to answer the
question. Read both statements and
22.
What is the height of the cylinder? (in m) I. The volume of the cylinder is 4158 m3. . . II. The total surface area of the cylinder is 1485 m3. .
22.
What is the height of the cylinder? (in m) I. The volume of the cylinder is 4158 m3. . . II. The total surface area of the cylinder is 1485 m3. .
A  if the data in statement I alone are sufficient to answer the
question, while the data in statement II alone are not
sufficient to answer the question 
B  if the data in statement II alone are sufficient to answer the
question, while the data in statement I alone are not sufficient
to answer the question 
C  if the data in statement I alone or in statement II alone are
sufficient to answer the question 
D  if the data in both the statements I and II are not sufficient to
answer the question 
E  if the data in both the statements I and II together are
necessary to answer the question 
Question 23 
Directions (Q. Nos. 2124) Each of the questions below
consists of a question and two statements numbered I
and II given below it. You have to decide whether the data
provided in the statements are sufficient to answer the
question. Read both statements and
23.
What is the marked price of the pen?
I. When a discount of 25% is given on the marked price of the pen, the loss incurred is 10%. The cost price of the price is Rs.480.
II. The marked price of the pen is 20% above the cost price of the pen.
23.
What is the marked price of the pen?
I. When a discount of 25% is given on the marked price of the pen, the loss incurred is 10%. The cost price of the price is Rs.480.
II. The marked price of the pen is 20% above the cost price of the pen.
A  if the data in statement I alone are sufficient to answer the
question, while the data in statement II alone are not
sufficient to answer the question 
B  if the data in statement II alone are sufficient to answer the
question, while the data in statement I alone are not sufficient
to answer the question 
C  if the data in statement I alone or in statement II alone are
sufficient to answer the question

D  if the data in both the statements I and II are not sufficient to
answer the question 
E  if the data in both the statements I and II together are
necessary to answer the question 
Question 24 
Directions (Q. Nos. 2124) Each of the questions below
consists of a question and two statements numbered I
and II given below it. You have to decide whether the data
provided in the statements are sufficient to answer the
question. Read both statements and
24.
I. The distance travelled by the boat upstream in 40 minutes is equal to the distance travelled by the boat downstream in 24 minutes.
II. The speed of the water current is 4 km/h.
24.
I. The distance travelled by the boat upstream in 40 minutes is equal to the distance travelled by the boat downstream in 24 minutes.
II. The speed of the water current is 4 km/h.
A  if the data in statement I alone are sufficient to answer the
question, while the data in statement II alone are not
sufficient to answer the question 
B  if the data in statement II alone are sufficient to answer the
question, while the data in statement I alone are not sufficient
to answer the question 
C  if the data in statement I alone or in statement II alone are
sufficient to answer the question

D  if the data in both the statements I and II are not sufficient to
answer the question 
E  if the data in both the statements I and II together are
necessary to answer the question 
Question 25 
Directions (Q. Nos. 2529) Refer to the graph and answer
the given questions.
25.
The number of students who could pass the exam in the year 2006 were 10% more than that in the previous year. Only 75% of those who appeared in the year 2006 could pass the exam that year. How many students appeared for the exam in the year 2006?
25.
The number of students who could pass the exam in the year 2006 were 10% more than that in the previous year. Only 75% of those who appeared in the year 2006 could pass the exam that year. How many students appeared for the exam in the year 2006?
A  340 
B  336 
C  418 
D  420 
E  352 
Question 26 
Directions (Q. Nos. 2529) Refer to the graph and answer
the given questions.
26.
Number of students who had passed the exam in
the year 2002 are what percent less than that in the
year 2003?
A  26 1/9% 
B  25% 
C  40 2/3% 
D  33 1/33% 
E  30% 
Question 27 
Directions (Q. Nos. 2529) Refer to the graph and answer
the given questions.
27.
What percent of students who appeared for the exam in the year 2001 could pass the exam?
27.
What percent of students who appeared for the exam in the year 2001 could pass the exam?
A  65 5/6% 
B  70 2/3% 
C  75% 
D  60% 
E  80% 
Question 28 
Directions (Q. Nos. 2529) Refer to the graph and answer
the given questions.
28.
What is the respective ratio of total number of students who appeared for the exam in the years 2004 and 2005 together and the total number of students who could pass the exam in the same years together?
28.
What is the respective ratio of total number of students who appeared for the exam in the years 2004 and 2005 together and the total number of students who could pass the exam in the same years together?
A  35 : 29 
B  31 : 25 
C  28 : 23 
D  33 : 25 
E  31 : 26 
Question 29 
Directions (Q. Nos. 2529) Refer to the graph and answer
the given questions.
29.
What is the average number of students who appeared for the exam in the years 2002, 2003 and 2004?
29.
What is the average number of students who appeared for the exam in the years 2002, 2003 and 2004?
A  240 
B  200 
C  150 
D  250 
E  280 
Question 30 
30.Vessel A contains a mixture of orange juice
and apple juice in the respective quantities of 16 L
and 4 L. Vessel B contains a mixture of orange juice
and apple juice in the respective quantities of 24
litres and 6 L. Mixtures from vessels A and B, are
both mixed together in vessel C. What is the
resultant percentage of Apple juice in vessel C?
A  20% 
B  25% 
C  10% 
D  30% 
E  35% 
Question 31 
Directions (Q. Nos. 3135) Study the following
information carefully to answer the questions.
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
31.
The number of male employees in Finance department is what percent of the number of employees (both male and female) in IT department?
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
31.
The number of male employees in Finance department is what percent of the number of employees (both male and female) in IT department?
A  16 7/9% 
B  17 4/9% 
C  12 5/9% 
D  18 1/9% 
E  19 4/9% 
Question 32 
Directions (Q. Nos. 3135) Study the following
information carefully to answer the questions.
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
32.
What is the total number of male employees in the office?
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
32.
What is the total number of male employees in the office?
A  1380 
B  1694 
C  1420 
D  1340 
E  1124 
Question 33 
Directions (Q. Nos. 3135) Study the following
information carefully to answer the questions.
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
33.
By what percent is the number of female employees in HR department more than those in Finance department?
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
33.
By what percent is the number of female employees in HR department more than those in Finance department?
A  6 2/3% 
B  4 2/3% 
C  8 1/3% 
D  5 1/3% 
E  7 1/3% 
Question 34 
Directions (Q. Nos. 3135) Study the following
information carefully to answer the questions.
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
34.
What is the respective ratio between number of female employees in Finance department and those in IT department?
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
34.
What is the respective ratio between number of female employees in Finance department and those in IT department?
A  7 : 29 
B  6 : 29 
C  7 : 23 
D  5 : 23 
E  5 : 27 
Question 35 
Directions (Q. Nos. 3135) Study the following
information carefully to answer the questions.
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
35.
What is the difference between the number of male employees in HR department and those in IT department?
In an office, there are three departments HR, Finance and IT. Out of the total employees in the office, 20% are in Finance department. Out of the remaining employees 9/10 are in IT department and the remaining are in HR department. Out of the total number of employees in IT department, 9/20 are females. Out of the total employees in Finance department, 30% are females. Out of the total employees in HR department, 4/5 are females. The total number of female employees in the office is 1120.
35.
What is the difference between the number of male employees in HR department and those in IT department?
A  940 
B  920 
C  910 
D  950 
E  930 
Question 36 
36.In the month of March, 2014, Rashmi paid EMI
which was 30% of her monthly salary. The
remaining salary she spent on shopping of groceries
and clothes in the respective ratio of 4 : 3. She spent
Rs. 15000 on shopping of clothes. If in April, 2014, her
salary increased by 12%, what was her salary
in April?
A  Rs.48000 
B  Rs.50000 
C  Rs.56000 
D  Rs.66000 
E  Rs.55000 
Question 37 
37.12 men can do a work in 18 days. They started
working together and after 6 days, 4 more joined
them, then remaining work will complete in
A  9 days 
B  10 days 
C  12 days 
D  16 days 
E  11 days 
Question 38 
Directions (Q. Nos. 3842) Study the piecharts and
answer the questions.
38.
If the number of male qualified candidates from State A is 264, what percent of qualified candidates from State A is female?
38.
If the number of male qualified candidates from State A is 264, what percent of qualified candidates from State A is female?
A  35% 
B  40% 
C  42.5% 
D  47.5% 
E  45% 
Question 39 
Directions (Q. Nos. 3842) Study the piecharts and
answer the questions.
39.
What is the average number of candidates who could not qualify in the competitive exam from States C, D and E?
39.
What is the average number of candidates who could not qualify in the competitive exam from States C, D and E?
A  276 
B  268 
C  258 
D  272 
E  468 
Question 40 
Directions (Q. Nos. 3842) Study the piecharts and
answer the questions.
40.
What is the central angle corresponding to number of qualified candidates from State E?
40.
What is the central angle corresponding to number of qualified candidates from State E?
A  32.8° 
B  24.4° 
C  22.8° 
D  24.6° 
E  28.8° 
Question 41 
Directions (Q. Nos. 3842) Study the piecharts and
answer the questions.
41.
What is the difference between total number of qualified candidates from States C and D together and those who could not qualify in the competitive exam from the same states together?
41.
What is the difference between total number of qualified candidates from States C and D together and those who could not qualify in the competitive exam from the same states together?
A  674 
B  664 
C  682 
D  672 
E  678 
Question 42 
Directions (Q. Nos. 3842) Study the piecharts and
answer the questions.
42.
Total number of qualified candidates from States B and E together is what percent more than the number of appeared candidates from State A?
42.
Total number of qualified candidates from States B and E together is what percent more than the number of appeared candidates from State A?
A  36 2/3% 
B  33 1/3% 
C  27 1/3% 
D  42 2/3% 
E  30 1/3% 
Question 43 
43.A boat takes 2 hours to travel 28 km upstream. If
the respective ratio between speed of the boat
downstream and the speed of the boat upstream is
9 : 7, what is the speed of the current?
A  1 km/h 
B  2.5 km/h 
C  3 km/h 
D  2 km/h 
E  3.5 km/h 
Question 44 
44.Amay’s present age is 1.5 times of Himanshu’s
present age. If after 4 years, Amay’s age will be twice
of Himanshu’s age 4 years ago, what is the
difference between their present ages?
A  13 yr 
B  14 yr 
C  12 yr 
D  15 yr 
E  18 yr 
Question 45 
Directions (Q. Nos. 4549) What approximate value will
come in place of question marks in the given questions?
(You are not expected to calculate the exact value.)
45.
45.
A  8 
B  14 
C  12 
D  18 
E  16 
Question 46 
Directions (Q. Nos. 4549) What approximate value will
come in place of question marks in the given questions?
(You are not expected to calculate the exact value.)
46.
46.
A  200 
B  245 
C  120 
D  225 
E  165 
Question 47 
Directions (Q. Nos. 4549) What approximate value will
come in place of question marks in the given questions?
(You are not expected to calculate the exact value.)
47.
47.
A  30 
B  60 
C  40 
D  20 
E  50 
Question 48 
Directions (Q. Nos. 4549) What approximate value will
come in place of question marks in the given questions?
(You are not expected to calculate the exact value.)
48.
48.
A  19 
B  11 
C  17 
D  27 
E  9 
Question 49 
Directions (Q. Nos. 4549) What approximate value will
come in place of question marks in the given questions?
(You are not expected to calculate the exact value.)
49.
49.
A  575 
B  425 
C  520 
D  610 
E  480 
Question 50 
50.
A  24 
B  25 
C  29 
D  14 
E  19 
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