# IBPS Clerk Previous Year Exam Paper - 2016 (Held on: 01-01-2017) "Numerical Ability"

## IBPS Clerk Previous Year Exam Paper - 2016 (Held on: 01-01-2017) "Numerical Ability"

**1.Raj while going by bus from home to airport (without any halt) takes 10
min less than time taken when the bus halts for some time. The average speed is
4 km/h more than the average speed of the bus when it halts. If the distance
from home to airport is 60 km, what is the speed of the bus when it is travelled
without any halt? (in km/h)
**

(1) 24

(2) 46

(3) 20

(4) 40

(5) 18

**2.Every month, Mr. Duggabati spends 24% of his monthly income in paying rent and 30% on shopping of groceries. Out of the remaining, he invests in fixed deposit and respective ratio of 9 : 7. If in a year, he deposited a total of Rs.1,24,200/- in fixed deposit, how much did he pay as rent-in a year?**

(1) Rs .1,24,000/-

(2) Rs. 1,10,400/-

(3) Rs. 1,17,600/-

(4) Rs. 1,24,560/-

(5) Rs.1,15,200/-

**3.The total time taken by a boat to travel ‘x’ km downstream and `x-52 km upstream was 285 min. If the difference between speed of the boat downstream and upstream is 3 km/h and the respective ratio between speed of boat in still water and speed of water current was 9 : 1, what is the value of x ?**

(1) 40.4

(2) 30

(3) 20.4

(4) 34.4

(5) Other than those given as options

**Directions (4-8): Read the graph and answer the given questions.**

The data given below are regarding percentage of fiction books sold by five bookstores in the months of June and December in the year 2002. All the bookstores sold either fiction or non-fiction books

Note : Total number of books sold = Fiction + Non-fiction

**4.Number of fiction books sold by store B in December was 200 more than that
sold by the same store in June. If the total number of books sold by the store
in both the given months together was 2000, how many books (fiction +
non-fiction), did the store sell in December?**

(1) 2000

(2) 1600

(3) 1200

(4) 1800

(5) 1500

**5.Total number of books sold by store C in June was 1500 and that in December
was 2000. What is the total number of non-fiction books sold by the store in
both the given months together?**

(1)1200

(2) 1720

(3) 1800

(4) 1600

(5) 1900

**6.Number of fiction books sold by store D in both the given months are equal.
Total number of books sold by the same store in December was What percentage
more than that in June?**

(1) 16%

(2) 18%

(3) 10%

(4) 12.5%

(5) 8%

**7.Total number of books sold by E in June was 1800 which was 25% less than
that sold by the same store in December. What is the total number of fiction
books sold by the same store together?**

(1) 1442

(2) 1620

(3) 1572

(4) 1640

(5) 1548

**8.Total number of books sold by store A in December are 60 more than that
sold by the same store in June. If the number of fiction books sold by store A
in both the given months were equal, what is the total number of books sold by
store A in June ?**

(1) 840

(2) 800

(3) 660

(4) 900

(5) 720

**Directions (9-13) : Refer to the pie charts and answer the given questions.**

The following data are regarding number of students(Boys + Girls) studying in standard Xth of various schools(A, B, C, D and E) in the year 2010Total number of students(Boys + Girls) = 3000

**9.What is the difference between the total number of students (boys + girls)
in schools A and B together and the total number of students (boys + girls) in
schools D and E together ? What is the difference between the total number of
students (boys + girls) in schools A and B together and the total number of
students (boys + girls) in schools D and E together ?**

(1) 640

(2) 600

(3) 620

(4) 680

(5) 660

**10.Number of girls studying in school C are what percent of total number of
students (boys + girls) studying in the same school ?**

**11.What is the average number of boys studying in schools A and B ?**

(1) 280

(2) 288

(3) 272

(4) 248

(5) 278

**12.Number of girls studying in school E are approximately what percent more
than the number of boys studying in the same school?**

(1)10%

(2) 30%

(3) 50%

(4) 42%

(5) 34%

**13.the respective ratio between the number of boys and the number of girls
studying in school D ?**

(1) 12 : 7

(2) 16 : 9

(3) 16 : 7

(4) 18 : 7

(5) 14 : 9

**Directions (14-18): Study the following information carefully and answer the
given questions.**

The following data are regarding total number of male and female employees
(MBAs and non-MBAs) working in three organizations—A, B and CIn organisation :

In organisation :

A: 30% of the total number of employees are females, of which 10% are MBA’s. In
organization, 168 males are MBAs which are 20% of total number of males.

B: 40% of the total number of employees are females, of which 25% are MBAs. 10%
of the total male employees in organization B are MBAs. The total number of
female employees in organization B are equal to that in organization A.

C: Total number of female employees are twice of that in organization B. 20% of
the total number of male employees and 20% of the total number of female
employees are MBAs. Number of male employees who are not MBAs are 672 more than
that of female employees who are not MBAs.

**14.The respective ratio between the number of male MBA employees, who are
science graduates, in organizations B and C is 1 : 3. Total number of male MBA
employees who are tot science graduates in both the organization together is
262. What is the number of male MBA employees who are science graduates in
organization B ?**

(1) 24

(2) 22

(3) 25

(4) 26

(5) Other than those given as options

**15.What is the difference between the number of Non-MBA employees in
organizations .A and B?**

(1) 220

(2) 360

(3) 340

(4) 240

(5) Other than those given as options

**16.What is the average number of female employees working in organizations A,
B and C ?**

(1) 360

(2) 540

(3) 580

(4) 420

(5) 480

**17.What percent of the total number of employees in organization C, are males
?**

(1) 68%

(2) 70%

(3) 80%

(4) 75%

(5)50%

**18.Total number of employees in organization C, are what percent more than –
that in organization A ?**

(1) 20%

(2) 50%

(3) 25%

(4) 75%

(5) 90%

**Directions (19-23) : Study the table and answer the given questions.**

Data related to rating of 5movies in two cities (X and Y)

Note: I. Few data are missing (indicated by—). You need to calculate the
value based on given data, if required, to answer a given question.

II. Total sum of ratings obtained = Number of raters x Average rating obtained

**19.For movie C, the respective ratio of total sum of ratings from city X and
that from city Y is 16 : 21. What is the average rating obtained from movie C
from city Y?**

(1) 73.5

(2) 72.5

(3) 75.5

(4) 75

(5) 74

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**20.For movie D, the total sum of ratings obtained from city X and that from
city Y are equal. The respective ratio of number of raters in city Y and city Z
is 4 : 5. Number of raters in city Xis what percent more than number of raters
in city Z ?**

(1) 30%

(2) 15%

(3) 25%

(4) 20%

(5) Other than those given as options

**21.For movie B, average rating obtained from city Y is 10% less than that
obtained from city X. Total sum of ratings obtained from city Y is what percent
more than that obtained from city X ?**

(1) 35%

(2) 32%

(3) 30%

(4) 40%

(5) Other than those given as options

**22.For movie E, the average rating given by male raters in cities X and Y are
equal and that by female raters in the two cities are equal. If the respective
ratio of male and female in city X is 5 : 3 and that in city Y is 2 : 1, what is
the average rating given by male raters of city X?**

(1) 28

(2) 36

(3) 32

(4) 30

(5) Other than those given as options

**23.Combining city X and city Y, the average rating obtained for movie A is
58. Number of raters in city X is what percent more than the number of raters in
city Y ?**

(5) Other than those given as options

**24.18 women complete a project in 24 days and 24 men complete the same
project in 15 days, 16 women worked for 3 days and then they left. 20 men work
for next 2 days and then they are joined by 16 women. In how many days will they
complete the remaining work?**

(5) Other than those options

**25.The cost price of article B is 20% more than that of article A. Articles A
and B were marked up by 50% and 25% respectively. Article A was old at a
discount of 5% and article B was sold at a discount of 9%. If the selling price
of article A was Rs.30/- more than the selling price of article B, What was the
cost price of article A?**

(1) Rs.600/-

(2) Rs.400/-

(3) Rs.500/-

(4) Rs.540/-

(5) Rs.400/-

**26.Ram’s age after 17 years will be 6 years less than twice his present age.
The respective ratio between Vivian’s present age and Amit’s present age is 21 :
19. If Amit’s age 31 years hence will be same as three times Ram’s present age,
what will be Vivian’s age 4 years hence ? (in years)**

(1) 44

(2) 45

(3) 46

(4) 48

(5) Other than those given as options

**27.Jar A has ‘X’ litre of mixture of apple juice and water in the respective
ratio of 5 : 1 and jar B has ‘X’ litre of mixture of mango juice and water in
the respective ratio of 2 : 1. 30 litre of mixture was taken from jar A and jar
B each and mixed in jar C. If 12 litre of mixture was taken out from jarC, what
was the final quantity of water in jar C ? (in litre)**

(1) 15

(2) 6

(3) 3

(4) 9

(5) 12

**Directions (28-32) : What approximate value will come in place of question
mark (?) in the given questions ? (You are not expected to calculate the exact
value)**

**28.68.67 % of 369.87 ÷ 15.01 = 221 ÷ ?**

(1) 7

(2) 18

(3) 13

(4) 21

(5) 10

**29.? % of (6274 ÷ 6.14) = 646.51 – 241.58**

(1) 60

(2) 45

(3) 39

(4) 65

(5) 74

**30.1056 × ? ÷ 3 = 576.73 × 202**

(1) 360

(2) 295

(3) 412

(4) 381

(5) 330

(1) 745

(2) 910

(3) 980

(4) 790

(5) 760

(1) 17

(2) 21

(3) 16

(4) 11

(5) 4

**Directions (33-37) : **These questions consist of a question and two/three
statements numbered I, II and III are given below it. You have to decide whether
the data provided in the statements are sufficient to answer the question. Read
the statements and choose the appropriate option.

**33.There are certain number of cards in a bag which are numbered serially (1,
2, 3, 4 and so on). How many cards are there in the bag?**

I. If two cards are drawn at random, one after another, without replacement, the
probability that both the cards are even numbered is

II. The respective ratio between number of odd numbered cards and number of even
numbered cards in the bag is 16 : 15.

III. There are 50 cards in the bag.

(1) Either statement I or statement II and statement III are sufficient to
answer the question.

(2) Only statement I is sufficient to answer the question.

(3) Only statement II is sufficient to answer the question.

(4) Either statement I or statement II is sufficient to answer the question.

(5) None of the given statements is sufficient to answer the question.

**34.What is the rate of interest per annum?**

I. The amount becomes Rs.9331.20 in 2 years at compound interest.

II. The difference between CI and SI at the same rate of interest in 2 years is
Rs.51.20

III.The amount invested is Rs.8,000/-

(1) Only statements I and III are sufficient to answer the question.

(2) Only statements I and II are sufficient to answer the question.

(3) Only statement II and either statement I or statement III are sufficient to
answer the question.

(4) Only statement III and either statement I or statement II are sufficient to
answer the question.

(5) Any two of the three statements are sufficient to answer the question.

**35.Find the number of days in which Q can do a job if P can do the same job
in 8 days.**

I. Q is 60% more efficient thanP.

II. P and Q together can do the job in days.

III.P is less efficient than Q.

(1) Only statement I is sufficient to answer the question.

(2) Only statement II is sufficient to answer the question.

(3) Either statement I or statement II is sufficient to answer the question.

(4) Any one of the statements is sufficient to answer the question.

(5) Only statements I and III are sufficient to answer the question.

**36.A and B are two positive integers. What is the sum of the cubes of A and
B?**

I. The sum of A and B is 14.

II. The sum of the squares of A and B is 106.

III.The value of A is 4 less than the value of B.

(1) Only statements I and III are sufficient to answer the question.

(2.) Only statements I and II are sufficient to answer the question.

(3) Only statement II and either statement I or statement III one sufficient to
answer the question.

(4) Only statement III and either statement I or statement II one sufficient to
answer the question.

(5) Any two of the three statements is sufficient to answer the question.

**37.There are two positive numbers. What is the smallest number ?**

I. The LCM of two numbers is 24 times of their HCF.

II. The sum of HCF and LCM of two numbers is 400.

III. The bigger number is 126.

(1) Only statements I and III are sufficient to answer the question.

(2) Only statements I and II are sufficient ,to answer the question.

(3) Only statement II and either statement I or statement III are sufficient to
answer the question.

(4) Only statement III and either statement I or statement II are sufficient to
answer the question.

(5) All three statements are sufficient to answer the question.

**38.Circle C1 is inscribed inside a square, which in turn is inscribed inside
circle C2. The sum of the circumferences of both circles is cm. What is the
perimeter of the square? (in cm)**

(1) 120

(2) 102

(3) 116

(4) 112

(5) Other than those given as options

**39.A sum of money was invested for ‘T’ years in Scheme A offering simple
interest. The amount received after ‘T’ years was twice the sum of money
invested in the scheme. What will be the amount received fOr Scheme A, when a
sum of Rs. 5,450/- is invested for `2T’ years?**

(1) Rs. 16,290/-

(2) Rs. 15,500/-

(3) Rs. 15,050/-

(4) Rs. 16,350/-

(5) Rs. 16,500/-

**40.A, B and C started a business with investments in the respective ratio of
2 : 3 : 4. At the end of 6 months from the start of the business, A, B and C
invested additional amounts, after which their final investments were in the
respective ratio of 3 : 2 : 1. If the ratio between B’s and C’s share in annual
profit was 8:9 and the difference between A’s and B’s share in annual profit was
Rs. 200/-, what was the annual profit?**

(1) Rs.4,800/-

(2) Rs.5,000/-

(3) Rs.6,000/-

(4) Rs.2,000/-

(5) Other than those given as options.