Cat 2018 Slot 2 Quant Answers

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  1. CAT 2018 exam analysis: Slot 1 and Slot 2. Quantitative Ability. Moderate - Difficult. 55+ VARC The first slot was on similar lines as those of CAT.
  2. CAT 2018 Quant Questions with solutions (slot 2). 50 is the correct answer. Online CAT 2021 Quant Course. Online CAT 2021 Quant Course.
  1. Cat 2018 Slot 2 Quant Answers Questions
  2. Cat 2018 Slot 2 Quant Answers Free
  3. Cat 2018 Slot 2 Quant Answers Key
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CAT 2019 (Quantitative Aptitude) QA – Slot 2 (Afternoon Slot) – Questions, Answers & Solutions

The CAT 2019, Slot-1 questions, answers, and solutions.

1. If 5^x – 3^y = 13438 and 5^(x-1) + 3^(y+1) = 9686, then x + y equals? (Watch video solutions to CAT 2019 – Slot-2 – QA -1)

CAT 2018 Slot 2 Analysis. Quantitative Ability. However, two of these would be tricky to answer without options. CAT2018.SolQA/1 Solutions for CAT 2018 QA – Afternoon (SLOT – 2) Let a and b be the two numbers. We know that for any two numbers AM ≥ GM ⇒ 2 + 2 2.

2. Amal invests Rs 12000 at 8% interest, compounded annually, and Rs 10000 at 6% interest compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest then the amount, in rupees, invested by Bimal is? (Watch video solutions to CAT 2019 – Slot-2 – QA -2)

3. The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being 20cm. The vertical height of the pyramid, in cm, is (Watch video solutions to CAT 2019 – Slot-2 – QA -3)

  1. 12
  2. 8 x (3)^(1/2)
  3. 5 x (5)^(1/2)
  4. 10x (2)^(1/2)

4. A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of 20% and at a loss of 20% respectively. Amal sells his table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss of 30%. If the amounts paid by Bimal and Barun are x and y, respectively, then (x-y)/p equals (Watch video solutions to CAT 2019 – Slot-2 – QA -4)

  1. 1
  2. 0.7
  3. 0.50
  4. 1.2

5. Let A be a real number. Then the roots of the equation x2 -4x – log2A = 0 are real and distinct if and only if (Watch video solutions to CAT 2019 – Slot-2 – QA -5)

  1. A > 1/16
  2. A < 1/16
  3. A < 1/8
  4. A > 1/8

6. The quadratic equation x^2 + bx +c =0 has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of b^2 + c? (Watch video solutions to CAT 2019 – Slot-2 – QA -6)

  1. 427
  2. 3721
  3. 549
  4. 361

7. The strength of a salt solution is p% if 100ml of the solution contains p grams of salt. Each of the three vessels A, B, C contains 500ml of salt solution of strengths 10%,22%, and 32% respectively. Now, 100ml of the solution in vessel A is transferred to vessel B. Then, 100ml of the solution in vessel B is transferred to vessel C. Finally, 100ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in Vessel A is. (Watch video solutions to CAT 2019 – Slot-2 – QA -7)

  1. 15
  2. 14
  3. 13
  4. 12

8. The average of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average of these 20 integers? (Watch video solutions to CAT 2019 – Slot-2 – QA -8)

  1. 5
  2. 4
  3. 3.5
  4. 4.5

9.

(Watch video solutions to CAT 2019 – Slot-2 – QA – 9)

  1. 1 ≤ x ≤ 3
  2. -1 ≤ x ≤ 3
  3. 1 ≤ x ≤ 2
  4. -3 ≤ x ≤ 3

10. In 2020, a library contained a total of 11500 books in two categories – fiction and non-fiction. In 2015, the library contained a total of 12760 books in these two categories. During this period, there was a 10% increase in the fiction category while there was a 12% increase in the non – fiction category. How many fiction books were in the library in 2015? (Watch video solutions to CAT 2019 – Slot-2 – QA -10)

  1. 6160
  2. 5500
  3. 6600
  4. 6000

11. Let ABC be a right-angled triangle with hypotenuse BC of length 20cm. If AP is perpendicular on BC, then the maximum possible length of AP, in cm, is (Watch video solutions to CAT 2019 – Slot-2 – QA -11)

  1. 8*(2)^(1/2)
  2. 6*(2)^(1/2)
  3. 5
  4. 10

12. The number of common terms in the two sequences: 15,19,23,27…….415 and 14,19,24,29……,464 is (Watch video solutions to CAT 2019 – Slot-2 – QA -12)

  1. 18
  2. 20
  3. 21
  4. 19

13. A man makes complete use of 405cc of iron, 783cc of aluminum, and 351cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has a radius of 3cm. If the total number of cylinders is to be kept at a minimum, then the total surface of all these cylinders, in sq cm, is (Watch video solutions to CAT 2019 – Slot-2 – QA -13)

  1. 8464 π
  2. 928 π
  3. 1026(1+π)
  4. 1044 (4+π)

14. How many factors of 2^4 * 3^5 * 10^4 are perfect squares which are greater than 1? (Watch video solutions to CAT 2019 – Slot-2 – QA -14)

16. Two ants A and B start from point P on a circle at the same time, with A moving clock-wise and B moving anti-clock-wise. They meet for the first time at 10:00 am when A has covered 60% of the track. If A returns to P at 10:12 am, then B returns to P at (Watch video solutions to CAT 2019 – Slot-2 – QA -16)

  1. 10:18 am
  2. 10:27 am
  3. 10:45 am
  4. 10:25 am

15. John jogs on track A at 6kmph and Mary jogs on track 7.5Kmph. The total length of tracks A and B is 325metres. While John makes 9 rounds of track A, Mary makes 5 rounds of track B. In how many seconds will Mary make one round of track A? (Watch video solutions to CAT 2019 – Slot-2 – QA -15)

17. In a triangle ABC, medians AD and BE are perpendicular to each other, and have lengths 12cm and 9cm, respectively. Then, the area of triangle ABC, in sq cm, is (Watch video solutions to CAT 2019 – Slot-2 – QA -17)

  1. 1. 72
  2. 78
  3. 68
  4. 80

18. John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. he works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? (Watch video solutions to CAT 2019 – Slot-2 – QA -18)

19. What is the largest positive integer n such that (n^2 + 7n + 12)/(n^2 -n -12) is also a positive integer? (Watch video solutions to CAT 2019 – Slot-2 – QA -19)

  1. 12
  2. 8
  3. 16
  4. 6

20. In a six-digit number, the sixth, that is the rightmost digit is the sum of the first three digits, the fifth digit is the sum of the first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of the fifth and sixth digits. Then, the largest possible value of the fourth digit is? (Watch video solutions to CAT 2019 – Slot-2 – QA -20)

21. Let a,b,x,y be real numbers such that a^2 + b^2 = 25, x^2 + y^2 = 169 , and ax + by = 65. If k = ay -bx, then (Watch video solutions to CAT 2019 – Slot-2 – QA -21)

  1. k = 5/13
  2. k < 5/13
  3. K = 0
  4. 0 < k ≤ 5/13

22. How many pairs (m,n) of positive integers satisfy the equation m^2+105=n^2? (Watch video solutions to CAT 2019 – Slot-2 – QA -22)

23. A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B? (Watch video solutions to CAT 2019 – Slot-2 – QA -23)

2. 23
4. 15
24. Let A and B be two regular polygons having a and b sides respectively. If b=2a and each of the interior angles of B is 3/2 times each interior angle of A, then each interior angle, in degrees of a regular polygon with a+b sides is (Watch video solutions to CAT 2019 – Slot-2 – QA -24)

25. The salaries of Ramesh, Ganesh, and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015. If Ramesh’s salary increase during 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest to (Watch video solutions to CAT 2019 – Slot-2 – QA -25)

  1. 8
  2. 9
  3. 7
  4. 10

26. If (2n+1)+(2n+3)+(2n+5)+…+(2n+47)=5280, then what is the value of 1+2+3+… +n ? (Watch video solutions to CAT 2019 – Slot-2 – QA -26)

Cat 2018 Slot 2 Quant Answers Questions

27. let a1 – a2 + a3 – a4 ….. + (-1)^(n-1) * aN =N, for all n>=1.Then a51 + a52 + … + a1023 equals (Watch video solutions to CAT 2019 – Slot-2 – QA -27)

  1. 10
  2. 1
  3. 0
  4. -1

28. Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining at a loss of 25%. If he made a total profit of Rs 2000, then his purchase price of a bicycle, in Rupees, was? (Watch video solutions to CAT 2019 – Slot-2 – QA -28)

  1. 4000
  2. 8000
  3. 6000
  4. 2000

29. In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C and the score of C was 20% less than that of D. If A scored 72, then the score of D was? (Watch video solutions to CAT 2019 – Slot-2 – QA -29)

30. Two circles, each of radius 4cm, touch externally. Each of these two circles is touched externally by a third circle. If these three circles have a common tangent, then the radius of the third circle is. (Watch video solutions to CAT 2019 – Slot-2 – QA -30)

  1. 2^(1/2)
  2. Pi / {(3)^(1/2)}
  3. 1
  4. 1/{(2)^(1/2)}

31. The real root of the equation 2^(6x) + 2^(3x+2) – 21 =0 is (Watch video solutions to CAT 2019 – Slot-2 – QA -31)

32. Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done? (Watch video solutions to CAT 2019 – Slot-2 – QA -32)

  1. 15
  2. 13
  3. 12
  4. 14

33. In an examination, Rama’s score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan and Rama were in the ratio 11:10:3. Then Anjali’s score exceeded Rama’s score by? (Watch video solutions to CAT 2019 – Slot-2 – QA -33)

  1. 24
  2. 26
  3. 35
  4. 32

34. Let f be a function such that f(mn) = f(m) f(n) for every positive integer m and n. If f(1), f(2), f(3) are positive integers, f(1)< f(2), and f(24) =54, then f(18) equals. (Watch video solutions to CAT 2019 – Slot-2 – QA -34)

1600 CAT Questions ; 300 Video Solutions and 41 Topic Wise Tests

This is 2IIM's database of Free CAT Questions with detailed solutions and video solutions. Our CAT Preparation Material is created by a team that takes the CAT every year. Many of these questions have been inspired by past year CAT questions. Questions come with detailed explanations, with video solutions from Rajesh, our Director, and slideshows.Note: These are not mere exercise problems. These are a set of must solve CAT questions that are pegged at the difficulty of the CAT. Solving them can be very valuable, both for exposure to different question patterns, and for learning different concepts from the explanations.
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Official CAT Question Paper

Original CAT question Paper - CAT 2017, CAT 2018, CAT 2019 question paper PDF
free download available. Also available - Detailed solutions for CAT official Mock test.

2020 Quant
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2020 Quant
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2020 DI LR
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2020 VA RC
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VA RC Slot 1

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2020 VA RC
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2019 Quant
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2019 Quant
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CAT 2019 Question Paper
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2019 DI LR
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CAT 2019 Question Paper
DI LR Slot 1

2019 DI LR
Slot 2

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2019 VA RC
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VA RC Slot 1

2019 VA RC
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2018 Quant
Slot 1

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2018 Quant
Slot 2

CAT 2018 Question Paper
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2018 DI LR
Slot 1

CAT 2018 Question Paper
DI LR Slot 1

2018 DI LR
Slot 2

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DILR Slot 2

2018 VA RC
Slot 1

CAT 2018 Question Paper
VA RC Slot 1

2018 VA RC
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2017 Quant
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CAT 2017 Question Paper
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2017 Quant
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CAT 2017 Question Paper
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2017 DI LR
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CAT 2017 Question Paper
DI LR Slot 1

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2017 VA RC
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VA RC Slot 1

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VA RC Slot 2

HCF and LCM

Factors and multiples form the basis of number systems. HCF and LCM can be fun if learnt the right way.

Factors

There are infinitely many numbers that have only two factors. The most elegant proof for this dates back to the 8th century.

Remainders

6 goes in 50 8 times and leaves behind 2. Might we state this as 6 goes in 50 nine times and leaves behind -4?

Factorials

This idea is so good that it comes with an exclamation mark. N! holds marvels that you might not have noticed before.

Digits

The remainder when we divide a number by 100 is nothing but the last two digits of the number.

Ratios, Mixtures; Averages

Sugar. Spice and Everything Nice. How much of this and how much of that? Guess the extra ingredient?

Percents, Profits, SICI

Beautiful questions from three allied topics. Most sportsmen will tell you - If you know the percentage play, you can profit well from it.

Speed, Time, Distance; Races

In a hurry? Have a go at these problems before you leave!! Maybe we could help you calculate how late you are going to be ….

Logarithms and Exponents

With every extra hour you log in for this topic, it becomes exponentially simpler. Keep your bases covered by mastering the basics.

Pipes, Cisterns; Work, Time

You have our assurances that it’s certainly not going to be as messy as the work that plumbers undertake!!

Set Theory

Set Theory (especially consructing venn diagrams) is a frequently tested topic.Make sure you know the basics

Geometry

One needs to have a clear understanding of circles, squares and equilateral triangles. Lets see how good you are!

Co-Geo

For the purists, it is geometry without romance, for the pragmatists it is Geometry with expanded scope.

Mensuration

Practice these and realize your immeasurable worth!! Rule the roost in the science of rulers and measurements.

Trigonometry

When you look at your reflection through a mirror, the image is at a distance equal to the distance between mirror and you.

Linear & Quadratic

Modulus of a number cannot be negative. A simple idea that somehow escapes our mind.

Functions

Mathematics can never function as well as it does now without the theory of functions.

Inequalities

Having a good foundation in this subject will make Coordinate Geometry, Functions, and Algebra a lot easier.

Polynomials

Polynomials is a simple topic which involves a lot of basic ideas. Make sure you know the basics.

Progressions

All things must progress, and progression is always a steady incline. Unless you have a negative common difference!!

Combinatorics

Cat 2018 Slot 2 Quant Answers

There are many ways to skin the CAT. To skin the CAT, one needs to be good at finding how many ways there are.

Para Jumble

Let’s play the big CAT’s imitation game. Decode and foil the grammar nazi’s enigmatic code.

Sentence Correction

Questions from Sentence Correction.

Sentence Elimination

Given 4 sentences, you will be asked to choose the one that does not fit in.

Paragraph Completion

Where you get to choose how the movie ends; or how it should end!

Reading Comprehension

Questions from Reading Comprehension that test your reading ability.

Critical Reasoning

It’s time to read between the sentences… think between them rather!

Word Usage

Word Usage questions often appear in the CAT. Questions from the topic for Practice.

Para Summary

Questions from Para Summary.

Text Completion

Text Completion questions often feature in the CAT. Take a look at these for practice.

Bar Graphs

When it comes to DI prep, set the bar high. You should be the best at this, bar none.

Pie Charts

An extension to the most beautiful word in all of math? - You should definitely have a slice of this!!

Multiple Graphs

Multiple Graphs questions often feature in the CAT.Questions from this topic for practice.

Word Problems

Word Problems questions often feature in the CAT.Questions from this topic for practice.

Line Graphs

Line Graphs questions often feature in the CAT.Questions from this topic for practice.

Sequencing

Sequencing questions often feature in the CAT.Questions from this topic for practice.

Grid Puzzles

If you remove the two squares on opposite ends of a diagonal on a chess board, is it impossible to fill the remaining 62 squares with dominoes?

Math Puzzles

There is only one natural number whose successor is a perfect cube and predecessor is a perfect square. Find it.

Visualization

350 million Rubiks cubes have been sold thus far. That’s staggering. Buy one and have a good look at it.

Other Patterns

Did you know that number of spirals in the heads of Sunflowers is either 21 and 34, or 34 and 55.Do you know what is special about these numbers?

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2017 CET

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2017 Happiness

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2017 Square

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2017 Team

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2017 Assets

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2017 Chess

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2017 Dorms

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2017 Friends

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2017 Electives

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2017 Security

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2017 Tea

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