Official CAT 2018 Exam Slot 2• Convenor Master Key Verified

CAT 2018 Slot 2 Question Paper & Answer Key

Questions from the IIM Calcutta paper, Afternoon Session (12:30 PM – 2:30 PM IST) (exam pattern: VARC 34, DILR 32, QA 34), with the answer key and solutions

Executive Answer & Section Summary

Official CAT 2018 Slot 2 examination paper conducted by IIM Calcutta during the Afternoon Session (12:30 PM – 2:30 PM IST). The paper features complete unedited questions across Verbal Ability & Reading Comprehension, Data Interpretation & Logical Reasoning, and Quantitative Aptitude. Marking adheres strictly to official convenor guidelines (+3 for correct, -1 for wrong MCQs, 0 for TITA). All questions have been verified against released candidate response sheets and are fully accessible in ThinkCAT's timed TCS iON exam simulator.

100 Total Questions

MCQ: 73 (+3 / -1)

TITA: 27 (0 Negative Penalty)

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Official Exam Fact Sheet & Direct Answer Snapshot

Verified IIM Convenor Normalization & Question Paper Blueprint

Fact-Checked Archive

Conducting Body

IIM Calcutta

Rotational Conv.

Format & Counts

73 MCQ • 27 TITA

Verified Questions

99%ile Benchmark

~154 Marks

38–40% Net Marks (out of 198)

Marking Scheme

+3 / -1 / 0

Zero TITA Penalty

CAT 2018 Slot 2 Question Paper & Answer Key: Official CAT 2018 Slot 2 examination paper conducted by IIM Calcutta during the Afternoon Session (12:30 PM – 2:30 PM IST). The paper features complete unedited questions across Verbal Ability & Reading Comprehension, Data Interpretation & Logical Reasoning, and Quantitative Aptitude. Marking adheres strictly to official convenor guidelines (+3 for correct, -1 for wrong MCQs, 0 for TITA). All questions have been verified against released candidate response sheets and are fully accessible in ThinkCAT's timed TCS iON exam simulator.

Cross-verified against convenor response sheets by Team ThinkCATLast Audited: October 2026 • 1:1 TCS iON Simulator

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis

Updated for CAT 2026: 2 November 2026

Total Question Pool

100 Qs

73 MCQ + 27 TITA

99%ile Score Benchmark

75–78 Marks (out of 198, ~38–40% raw accuracy across all 3 sections)

Scoring Scheme

+3 / -1 / 0

Zero penalty on TITA

Testing Interface

TCS iON CBT

On-Screen Calc Enabled

IIM Exam Strategy & Score Maximization Directives

1Balanced Sectional Cutoffs: Aim for at least 80–85%ile in every individual section (QA, DILR, VARC) to clear the first-stage shortlist criteria for IIM BLACKI calls.

2Strict 40-Minute Sectional Clock: Sections lock automatically after 40 minutes; you cannot carry forward unspent time or return to previous sections.

3Zero Negative Penalty on TITA: Attempt all Type-In-The-Answer questions before time expires as incorrect numerical entries carry zero negative deduction.

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Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.

Citation Format: ThinkCAT Academic Archive (thinkcat.in)

CAT 2018 Slot 2 Answer Key

Correct option (MCQ) or value (TITA) for every question, numbered as in the exam. Full solutions are in the questions below.

VARC

Q1C
Q2C
Q3A
Q4B
Q5D
Q6D
Q7C
Q8C
Q9B
Q10D
Q11C
Q12D
Q13C
Q14D
Q15B
Q16B
Q17A
Q18C
Q19D
Q20D
Q21B
Q22D
Q23B
Q24B
Q254213
Q263241
Q272314
Q28A
Q293
Q30C
Q313
Q32D
Q333
Q343241

DILR

Q11200
Q2D
Q3240
Q4A
Q5B
Q6C
Q7A
Q8B
Q9A
Q10D
Q11B
Q12B
Q13A
Q14B
Q15A
Q16B
Q17B
Q183
Q1948
Q20D
Q21A
Q22C
Q23B
Q24D
Q25D
Q263
Q270
Q28C
Q294
Q30D
Q312
Q32B

QA

Q1C
Q248
Q3C
Q4B
Q5A
Q6A
Q736
Q8C
Q9B
Q101098
Q11A
Q12B
Q134000
Q14A
Q15C
Q16A
Q17D
Q18A
Q19D
Q20105
Q21C
Q225
Q2320
Q24D
Q2524
Q26D
Q2724
Q288
Q29B
Q30D
Q3110
Q32A
Q3350
Q34D

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Official Exam Questions & Explanations (25 of 100)

Sorted in official convenor sequence

Question 1 of 100

CAT 2018 Slot 2QAArithmetic • Time, Speed & DistanceModerate

Points

A, P, Q

and

B

lie on the same line such that

P, Q

and

B

are, respectively,

100 \mathrm{~km}, 200 \mathrm{~km}

and

300 \mathrm{~km}

away from

A

. Cars 1 and 2 leave

A

at the same time and move towards

B.

Simultaneously, car 3 leaves

B

and moves towards

A

. Car 3 meets car 1 at

Q

, and car 2 at

P

. If each car is moving in uniform speed then the ratio of the speed of car 2 to that of car 1 is

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Official Convenor Answer Key: C

Question 2 of 100

CAT 2018 Slot 2QAArithmetic • Time & WorkModerate

A water tank has inlets of two types

A

and

B

. All inlets of type

A

when open, bring in water at the same rate. All inlets of type

B

, when open, bring in water at the same rate. The empty tank is completely filled in 30 minutes if 10 inlets of type

A

and 45 inlets of type

B

are open, and in 1 hour if 8 inlets of type

A

and 18 inlets of type

B

are open. In how many minutes will the empty tank get completely filled if 7 inlets of type

A

and 27 inlets of type

B

are open?

TITA Answer:

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Official Convenor Answer Key: 48

Question 3 of 100

CAT 2018 Slot 2QAAlgebra • InequalitiesModerate

How many two-digit numbers, with a non-zero digit in the units place, are there which are more than thrice the number formed by interchanging the positions of its digits?

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Official Convenor Answer Key: C

Question 4 of 100

CAT 2018 Slot 2QAArithmetic • Time & WorkHard

A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump

A

or pump

B

or both start working until the tank is full. On Monday,

A

alone completed filling the tank at

8 \mathrm{pm}

. On Tuesday, B alone completed filling the tank at

6 \mathrm{pm}

. On Wednesday,

A

alone worked till

5 \mathrm{pm}

, and then B worked alone from

5 \mathrm{pm}

7 \mathrm{pm}

, to fill the tank. At what time was the tank filled on Thursday if both pumps were used simultaneously all along?

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⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution

Official Convenor Answer Key: B

Question 5 of 100

CAT 2018 Slot 2QAGeometry • QuadrilateralsModerate

The area of a rectangle and the square of its perimeter are in the ratio

1:25

. Then the lengths of the shorter and longer sides of the rectangle are in the ratio

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Official Convenor Answer Key: A

Question 6 of 100

CAT 2018 Slot 2QAAlgebra • InequalitiesEasy

If the sum of squares of two numbers is

97

, then which one of the following cannot be their product?

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Official Convenor Answer Key: A

Question 7 of 100

CAT 2018 Slot 2QAAlgebra • InequalitiesModerate

a

and

b

are integers such that

2x^2 - ax + 2 > 0

and

x^2 −bx + 8 \geq 0

for all real numbers

x,

then the largest possible value of

2a-6b

TITA Answer:

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Official Convenor Answer Key: 36

Question 8 of 100

CAT 2018 Slot 2QAAlgebra • Progression & SeriesHard

The value of the sum

7 \times 11 + 11 \times 15 + 15 \times 19 + \dots + 95 \times 99

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Official Convenor Answer Key: C

Question 9 of 100

CAT 2018 Slot 2QAModern Math • Set TheoryModerate

A=\left\{6^{2 n}-35 n-1: n=1,2,3, \ldots\right\}

and

B=\{35(n-1): n=1,2,3, \ldots\}

then which of the following is true?

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Official Convenor Answer Key: B

Question 10 of 100

CAT 2018 Slot 2QAModern Math • Permutation & CombinationModerate

In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is

153

, while the number of boy versus boy matches in senior level is

276

. The number of matches a boy plays against a girl is

TITA Answer:

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Official Convenor Answer Key: 1098

Question 11 of 100

CAT 2018 Slot 2QAGeometry • CirclesModerate

A chord of length

5 \mathrm{~cm}

subtends an angle of

60^{\circ}

at the centre of a circle. The length, in cm , of a chord that subtends an angle of

120^{\circ}

at the centre of the same circle is

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Official Convenor Answer Key: A

Question 12 of 100

CAT 2018 Slot 2QAGeometry • CirclesModerate

From a rectangle

ABCD

of area

768 \text{ sq cm}

, a semicircular part with diameter

AB

and area

72\pi \text{ sq cm}

is removed. The perimeter of the leftover portion, in cm, is

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Official Convenor Answer Key: B

Question 13 of 100

CAT 2018 Slot 2QAArithmetic • Simple & Compound InterestModerate

Gopal borrows Rs.

X

from Ankit at

8 \%

annual interest. He then adds Rs.

Y

of his own money and lends Rs.

X+Y

to Ishan at

10 \%

annual interest. At the end of the year, after returning Ankit's dues, the net interest retained by Gopal is the same as that accrued to Ankit. On the other hand, had Gopal lent Rs.

X+2Y

to Ishan at

10 \%

, then the net interest retained by him would have increased by Rs.

150

. If all interests are compounded annually, then find the value of

X+Y

TITA Answer:

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Official Convenor Answer Key: 4000

Question 14 of 100

CAT 2018 Slot 2QAModern Math • LogarithmsModerate

The smallest integer

n

for which

4^n > 17^{19}

holds, is closest to

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Official Convenor Answer Key: A

Question 15 of 100

CAT 2018 Slot 2QAGeometry • TrianglesModerate

A triangle

ABC

has area 32sq units and its side

BC

, of length 8 units, lies on the line

\mathrm{x}=4

. Then the shortest possible distance between

A

and the point

(0,0)

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Official Convenor Answer Key: C

Question 16 of 100

CAT 2018 Slot 2QAModern Math • Set TheoryModerate

For two sets

A

and

B

, let

A \Delta B

denote the set of elements which belong to

A

B

but not both. If

P=\{1,2,3,4\}, Q=\{2,3,5,6\},, R=\{1,3,7,8,9\}, S= \{2,4,9,10\}

, then the number of elements in

(P \Delta Q) \Delta(R \Delta S)

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Official Convenor Answer Key: A

Question 17 of 100

CAT 2018 Slot 2QAModern Math • LogarithmsModerate

p^3 = q^4 = r^5 = s^6 , then the value of

\log_s(pqr)$ is equal to

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Official Convenor Answer Key: D

Question 18 of 100

CAT 2018 Slot 2QAArithmetic • Mixture & AlligationModerate

There are two drums, each containing a mixture of paints

A

and

B

. In drum

1, \mathrm{~A}

and B are in the ratio

18: 7

. The mixtures from drums 1 and 2 are mixed in the ratio

3: 4

and in this final mixture,

A

and

B

are in the ratio

13: 7

. In drum

2

, then

A

and

B

were in the ratio

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Official Convenor Answer Key: A

Question 19 of 100

CAT 2018 Slot 2QAArithmetic • Ratio, Proportion & VariationModerate

The scores of Amal and Bimal in an examination are in the ratio

11:14

. After an appeal, their scores increase by the same amount and their new scores are in the ratio

47 : 56

. The ratio of Bimal's new score to that of his original score is

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Official Convenor Answer Key: D

Question 20 of 100

CAT 2018 Slot 2QAArithmetic • Mean, Median & ModeModerate

The arithmetic mean of

x, y

and

z

80

, and that of

x, y, z, u

and

v

75

, where

u=(x+y) / 2

and

v=(y+z) / 2

. If

x \geq

z , then the minimum possible value of

x

TITA Answer:

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Official Convenor Answer Key: 105

Question 21 of 100

CAT 2018 Slot 2QAArithmetic • Mixture & AlligationEasy

The strength of a salt solution is

p\%

100 \mathrm{ml}

of the solution contains p grams of salt. If three salt solutions

A, B, C

are mixed in the proportion

1: 2: 3

, then the resulting solution has strength

20 \%

. If instead the proportion is

3: 2: 1

, then the resulting solution has strength

30 \%

. A fourth solution,

D

, is produced by mixing

B

and

C

in the ratio

2: 7

. The ratio of the strength of

D

to that of

A

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Official Convenor Answer Key: C

Question 22 of 100

CAT 2018 Slot 2QAArithmetic • Time, Speed & DistanceModerate

Points

A

and

B

are

150 \mathrm{~km}

apart. Cars 1 and 2 travel from

A

B

, but car 2 starts from

A

when car 1 is already

20 \mathrm{~km}

away from

A

. Each car travels at a speed of

100 \mathrm{kmph}

for the first

50 \mathrm{~km}

, at

50 \mathrm{kmph}

for the next

50 \mathrm{~km}

, and at

25 \mathrm{kmph}

for the last

50 \mathrm{~km}

. The distance, in km, between car 2 and

B

when car 1 reaches

B

TITA Answer:

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Official Convenor Answer Key: 5

Question 23 of 100

CAT 2018 Slot 2QAAlgebra • Minima & MaximaModerate

Let

f(x)=

max{

5x , 52-2x^2

}, where

x

is any positive real number. Then the minimum possible value of

f(x)

TITA Answer:

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Official Convenor Answer Key: 20

Question 24 of 100

CAT 2018 Slot 2QAModern Math • LogarithmsModerate

\dfrac{1}{\log _{2} 100}-\dfrac{1}{\log _{4} 100}+\dfrac{1}{\log _{5} 100}-\dfrac{1}{\log _{10} 100}+\dfrac{1}{\log _{20} 100}-\dfrac{1}{\log _{25} 100}+\dfrac{1}{\log _{50} 100}= \ ?

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Official Convenor Answer Key: D

Question 25 of 100

CAT 2018 Slot 2QAAlgebra • Progression & SeriesModerate

Let

t_1, t_2, \dots

be real numbers such that

t_1 + t_2 +\dots+ t_n = 2n^2 + 9n + 13

, for every positive integer

n\ge2

. If

t_k =103

, then

k

equals

TITA Answer:

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Official Convenor Answer Key: 24

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Frequently Asked Questions about CAT 2018 Slot 2 Question Paper & Answer Key

What was the total score and question pattern in CAT 2018 Slot 2?

CAT 2018 Slot 2 was conducted by IIM Calcutta during the Afternoon Session (12:30 PM – 2:30 PM IST). It featured 100 questions across VARC, DILR, and Quantitative Aptitude. Marking was +3 marks for correct answers and -1 for wrong MCQs (0 for TITA). An estimated score of 154 marks was required for 99.0th percentile.

What was the difficulty level and key highlights of CAT 2018 Slot 2?

Standard CAT Difficulty Profile. Standout themes included: Official IIM convenor paper, Full section coverage (VARC, DILR, QA), Verified convenor answer keys.

Can I practice CAT 2018 Slot 2 under real timed exam conditions?

Yes! You can launch the free ThinkCAT TCS iON CBT Mock Simulator on this page. It replicates the official 40-minute sectional locks, virtual calculator, and 5-state question palette.

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VARC

DILR

QA

Attempt under official TCS iON 40-Min countdown timer

Official Exam Questions & Explanations (25 of 100)

Unlock All 24 Full-Length Official Mocks & 6,000+ Questions

Frequently Asked Questions about CAT 2018 Slot 2 Question Paper & Answer Key

What was the total score and question pattern in CAT 2018 Slot 2?

What was the difficulty level and key highlights of CAT 2018 Slot 2?

Can I practice CAT 2018 Slot 2 under real timed exam conditions?

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