# CAT Sample Papers 2016 IIM CAT Question Papers With Solutions Download

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**CAT Sample
Papers 2016**

**Common Admission Test (CAT)**is conducted by IIMs each year

IIM CAT templates are available for
download from the link below. Papers IIM CAT resolved with key answers are
given on this page to the orientation of the candidates. IIM Common Admission
Test sample paper are also available on the official website for download.
Candidates can check CAT syllabus and examination pattern, CAT previous Papers
found the key to start your preparation.

**Descriptive Information:**

·
Name of the Organization: Indian
Institute of Management (IIM).

·
Name of the Exam: Common Admission
Test (CAT).

·
Category: Previous Papers.

·
Location: India.

·
Official website: iimcat.ac.in

**CAT Sample Papers:**

Q.1) The total cost of 2 pencils, 5 erasers
and 7 sharpeners is Rs.30, while 3 pencils and 5 sharpeners cost Rs.15 more
than 6 erasers. By what amount (in Rs.) does the cost of 39 erasers and 1
sharpener exceed the cost of 6 pencils?

·
20

·
30

·
It does not exceed

·
Cannot be determined

Q.2)
What is the remainder when 7700 is divided by 100?

·
1

·
61

·
41

·
21

Q.3) Balram, the local shoe shop owner, sells
four types of footwear – Slippers (S), Canvas Shoes (C), Leather Shoes (L) and
Joggers (J). The following information is known regarding the cost prices
andselling prices of these four types of footwear:

(i) L sells for Rs.500 less than J, which
costs Rs.300 more than S, Which , in turn, sells for Rs.200 more than L.

(ii) L costs Rs.300 less than C, which sells
for Rs.100 more than S, Which , in turn, costs Rs.100 less than

C. If it is
known that Balram never sells any item at a loss, then which of the following
is true regarding the profit percentages earned by Balram on the items L, S, C
and J represented by l, s, c and j respectively?

·
l ≥ c ≥ s ≥ j

·
c ≥ s ≥ l ≥ j

·
l ≥ s ≥ c ≥ j

·
s ≥ l ≥ j ≥ c

Q.4) Some friends planned to contribute
equally to jointly buy a CD player. However, two of them decided to withdraw at
the last minute. As a result, each of the others had to shell out one rupee
more than what they had planned for. If the price (in Rs.) of the CD player is
an integer between 1000 and 1100, find the number of friends who actually
contributed?

·
21

·
23

·
44

·
46

Q.5) What is the minimum value of the
expression 2×2 + 3y2 – 4x – 12y+ 18?

·
18

·
10

·
4

·
0

Q.6) Thirty-six equally spaced points – P1
through P36 – are plotted on a circle, and some of these points are joined
successively to form a regular polygon. How many distinct such regular polygons
are possible?

·
7

·
23

·
37

·
27

·
None of these

Q.7) The function f(x) = | x – 1 | + | 2.8 – x
| + | x – 3 |, where x is a real number, can attain a minimum value of

·
1

·
2

·
3

·
2.8

Q.8) If [log101] + [log102] + [log103] +
[log104] + …… + [log10n] = n, where [x] denotes the greatest integer less than
or equal to x, then

·
96 ≤ n < 104

·
104 ≤ n < 107

·
107 ≤ n < 111

·
111 ≤ n < 116

Q.9) A tank can be filled by two taps – Tap I
and Tap II. The volume of the tank is 5000 liters. Tap I fills the tank at a
rate of 1 litre /second. Tap II fills the tank at a rate of 3 litres in 2
seconds. On a particular day, Tap II is opened minutes after the time at which
Tap I is opened. If after 45 minutes from the time when Tap I was opened, the
tank develops a hole which empties the tank at the rate of 2.5 liters/second,
how full is the tank in 2 hours from the time when Tap I opened?

·
1/10

·
Full

·
3/4

·
4218/5000

Q.10) A mathematics teacher asked each of her
students to think of a natural number which was a perfect square and then
converts it to a number system to the base of any natural number of their
choice, where the base is not more than 9. The teacher later observed that
though no two students took the same base, all the students in the class ended
up with the same result of 12321. Find the maximum, possible number of students
in the class.

·
(1)9

·
(2) 8

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(3) 7

·
(4) 6

·
(5) 5

DIRECTIONS for questions 11 to 13:

Answer the questions on the basis of the
information given below.

After facing yet another World Cup debacle,
the Board of Cricket Control in India (BCCI) is in search of a new coach for
the team. It shortlisted five persons – Anshuman, Buchanen, John, Whatmore and
Chappel. Each of them is from a different country among Australia, India,
Japan, Pakistan and Canada, not necessarily in that order. At present, each of
them is coaching the team of a different country among Australia, Bangladesh,
China, Wales and Bermuda, not necessarily in that order. The following details
were also observed about their particulars:

(i) For any person, each of his three
particulars – his name, the name of the country from which he is and the name
of the country that he is coaching at present, starts with a different letter.

(ii) Whatmore is coaching Australia and John
is from neitherAustralia nor Pakistan.

(iii) Buchanen is not coaching China and the
person who iscoaching Bermuda is from Canada.

(iv)
Anshuman is neither from Canada nor from Pakistan and also the person
from Pakistan is coaching Bangladesh.

Q.11) What more is from which country?

·
India

·
Japan

·
Canada

·
Cannot be determined

Q.12) Who is the person from Australia?

·
Buchanen

·
John

·
Whatmore

·
Cannot be determined

Q.13) The person from Japan is definitely not
coaching

·
China.

·
Wales.

·
Australia.

·
More than one of the above

DIRECTIONS for questions 14 to 17:

Answer the questions on the basis of the
information given below.

Mr Suzuki, a car dealer, sold cars of only two
brands, A and B, in the previous year. This year, he introduced a new brand, C.
The number of cars of brand A and brand B sold in the previous year were in the
ratio 3 : 2, and the ratio of the number of cars sold in the previous year to
that sold in this year is 2 : 3 for brand A and 2 : 5 for brand B. Further, the
number of cars of brand C sold this year forms 81% of the total number of cars
sold this year.

Q.14) Find the number of cars of brand C sold
this year, given that a total of 24 cars of brand A were sold in the previous
year.

·
324

·
648

·
162

·
243

Q.15) What is the percentage increase in the
total number of cars sold this year when compared to the total number of cars
sold in the previous year?

·
400%

·
600%

·
900%

·
1000%

Q.16) In the next year, Mr.Suzuki wants to
increase the total sales by 80%, compared to the total sales this year, by
keeping the sales of each of A, B and C at the same level as that in this year
and introducing a new brand D. By what percent will the number of cars of brand
D (to be sold next year) be more than the total number of cars sold last year?

·
400%

·
600%

·
900%

·
700%

Q.17) If a total of 380 cars were sold this
year, and the sales of C this year were nil, instead of 81% of total sales,
then how many cars of brand A were sold in the previous year?

·
140

·
120

·
100

·
160

DIRECTIONS for questions 18 to 20:

The question given below is followed by two
statements, I and II. Study the information given in the two statements and
assess whether the statements are sufficient to answer the question and choose
the appropriate option from among the choices given below:

Q.18) Two of the three cricketers Pavan, Rajan
and Tarun are selected to the national team. Each of these three persons scored
a different number of centuries and a different number of runs. Further, among
these three, Tarun scored the highest number of centuries. Who among Pavan,
Rajan and Tarun is not selected to thenational team?

I. The person with the higher number of runs
between Tarun and Pavan, is the person who scored the lesser number of
centuries between the two persons selected.

II. The person with the least number of runs
between Rajan and Tarun, is the person who scored the higher number of
centuries between the two persons selected.

·
The question can be answered by using
one of the statements alone, but cannot be answered using the other statement
alone.

·
The question can be answered by using
either statement alone.

·
The question can be answered by using
both statements together, but cannot be answered using either statement alone.

·
The question cannot be answered even
by using both statements together.

Q.19) Triangle ABC is right angled at B. What
is the value of AB +BC?

I. Diameter of the circle inscribed in the
triangle ABC is 10 cm.

II. Diameter of the circle circumscribing the
triangle ABC is 27 cm.

·
The question can be answered by using
one of the statements alone, but cannot be answered using the other statement
alone.

·
The question can be answered by using
either statement alone

·
The question can be answered by using
both statements together, but cannot be answered using either statement alone.

·
The question cannot be answered even
by using both statements together.

Q.20) The first n natural numbers, 1 to n,
have to be arranged in a row from left to right. The n numbers are arranged
such that there are an odd number of numbers between any two even numbers as
well as between any two odd numbers. If the number of ways in which this can be
done is 72, then find the value of n.

·
6

·
7

·
8

·
More than 8

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