PowerPoint Presentation · Logical Reasoning Puzzles 14 ... Critical Reasoning 6. Logical Reasoning...

CAT 2014

With Rav Singh

1. More difficult Quant as compared to previous years

2. More importance to Modern Maths (Geometry , Functions Graphs , Inequalities)

3. Easy to understand DI but with little calculations

4. 50% RC questions based on Inference

5. Two logical puzzles set easy one difficult to do

6. Coherent paragraphs

7. Sentence correction missing but word usage 3 questions

8. 7 paragraph based questions

9. Less of traditional questions like TSD, TW, Eqns

10. One area will be changing every slot..

Geometry, Numbers, Equations, Arithmetc

Overview

Area Questions From Cetking books

Quant 35 50%

DI 15 100%

Verbal 35 66%

Logic 15 66%

Total 100 66%

Type of questions No. of ques

DI without pen 15 Visual Geometry 10 Algebra Equations 7 Dirty Quant Functions 6 Arithmetic 5 Numbers 4 PnC without nCr 3

Basics

Type of questions

No. of ques

Easy 15

Medium 20

Difficult 15

Attempt 30 - 32

Cetking Shortcut Workshops

Book Based 10

Speed Breakers 10

Actual Papers

CAT 1990 – 2004 papers

All DI from Cetking

Green book

Tables 4

Bar Chart 4+3

Line Graph 4

Verbal

RC in half time 15

Logical Reasoning Puzzles 14

Paragraph Comp & Jum 8

Grammar/Sentence Cor 5

Vocab & FIBs 5

Critical Reasoning 2

Logical Reas others 1

Easy 15

Medium 23

Difficult 12

Attempts 32 - 35

All logic questions

from Cetking Green books

Puzzles Matrix 4

Puzzles Numbers 4

Puzzles Sitting Arrangement 5

Truth liar 1

Deductions/ Syllogisms 1

Attempts 12/15

Reecharge workshop

Weak Area

1 of 12 workshop series

Quant cutoff clearing: 1. Visual Geometry 2. Vedic Numbers 3. Equations Polynomials 4. Dirty (Modern) Quant 5. Arithmetic 6. DI Without Pen

Verbal cutoff clearing: 1. RC in half time 2. Grammar/Sentence Cor 3. Vocab & FIBs 4. Paragraph Comp & Jum 5. Critical Reasoning 6. Logical Reasoning

Shortcuts

Summary • Basics • Important areas • Weak areas • Shortcuts • Mocks • Actual papers • Other exams

Facebook.com/ravgun 09820500380 IIM Dream team https://www.facebook.com/groups/CATdreamteam/

CAT Quant

Rav Singh Serial CAT topper

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Any resemblance to the actual CAT is coincidence

This is just a sample questions and pattern

DI without pen 15 Visual Geometry 10 Algebra Equations 7 Dirty Quant Functions 6 Arithmetic 5 Numbers 4 PnC without nCr 3

Topic Sub Total Sub Total Geometry Angles 1 Coordinate / Trig 1

Area 4 Circles 2 Triangles 2

Arithmetic Percentages 2 Averages mixtures 1 Ratios 1 TSD T&W 1

DI Bar 7 Table 4 Line 4

Dirty Quant Inequalities 2 Graphs 1 Functions 2 Sets, Maxima 1

Algebra Simple Eqns 2 Special Equations 1 Cubic 1 Series 2

Numbers AP GP 1 Multiples 1 Digits 2

PnC PnC 3 Probability 1 Total 50

Type of questions

No. of ques

Easy 15

Medium 20

Difficult 15

Attempt 30 - 32

Cetking Shortcut Workshops

Book Based 10

Speed Breakers 10

Area Easy Med Diff Total

DI without pen 6 7 2 15 Visual Geometry 3 2 5 10

Algebra Equations 2 2 2 6 Dirty Quant 4 2 1 7 Arithmetic 1 1 3 5 Numbers 1 1 2 4 PnC without nCr 1 0 2 3

18 15 17 50

Attempt 30 - 32

Book based

If a car takes 5 minutes to complete one side of the cube shaped track with speed 60km/hr. Find the time taken by car to cover the diagonal of the track.

A. 5√3

B. 11√ 3

C. 5√2 D. 5

A crazy ball is dropped from 100m.. It bounces 50% on every fall. Find the distance travelled by the crazy ball.

I have one rupee coins, fifty paisa coins and twenty five paisa coins. The number of coins are in the ratio 2.5 : 3 : 4. If the total of coins is between 70 < n < 80 and a multiple of 4. find the total amount.

Between 100 < n < 300 how many numbers are there not multiple of 5 or 3.

A, B and C are three numbers. @ (A, B) = Average of A and B, / (A, B) = Product of A and B, and × (A, B) = The result of dividing A by B. The sum of A and B is given by a. / (@ (A, B), 2) b. × (@ (A, B), 2) c. @ (/ A, B), 2) d. @ (× (A, B), 2)

I am a taxi driver who take passengers on per seat basis If my sales increase by 60% Expenses reduce by 10% But siting capacity in my taxi halfs Find the %age change in my Profitability. A. 5% B. 10% C. None of these D. Cannot be det.

Shortcuts

N = abcde….n; R=n…edcba |N-R| is always multiple of A. 9 B. 11 C. 99 D. 111

How many ways 3 boys and 3 girls sit in a row. Such that boys always occupy only odd seats

BCD is a triangle; Find Ratio of ∆CAD x ∆CEB ∆CAF x ∆CEF A. 7/9 B. 9/7 C. 81/49 D. 49/81

5 5 7 9

Coffee 80% Tea 70% Milk 60% Find the maximum number of ppl who drink all three

PQR is a triangle... where angle Q = 1/2 Angle P If PQ = r; QR = p; RP = q Which of the following is true: p is GM of q, p+r p is GM of r, p+q p is GM of r, q+r p is GM of q, q+r

(2a+√(5a)) x^2 + (2a-√(5a))x^2 = 4a

In the given equation, if a>|2| than the value of x lies between? 0 < x < 5 -5 < x < 0 5 < x < 15 -2 < x < 2

a>|2| find the value of x (2a+√(5a)) x^2 + (2a-√(5a))x^2 = 4a

Using cetking magic matrix Put a = 5 (So that we can easily calculate √(5a) value (2*5+√(5*5)) x^2 + (2*5-√(5*5))x^2 = 4*5 (10 + 5) x^2 + (10 - 5) x^2 = 20 (15) x^2 + (5) x^2 = 20 This is possible when x^2 = 1 Ie x = +1, -1

If f(x) is given find A. f(x) B. f(-x) C. -f(x) D. -f(-x)

If n is such that 8 ≤ n ≤ 37 , then find x satisfying following inequality 1. 4 < x < 11 2. 1 < x < 19 3. 9 < x < 17 4. 11 < x < 60

Select the values from the domain 8 ≤ n ≤ 37, whose root we can easily find. Put n = 9 and 36 to check the range

Ram invested 10,000 in the ratio a:b:c at Compound Interest of 10%, 20% and 30% respectively. Find the ratio in which investment was done if he gets same amount from each of the three schemes.

Speed breaker

Let g(x) be a function such that g(x + 1) + g(x – 1) = g(x) for every real x. Then for what value of p is the relation g(x+p) = g(x) necessarily true for every real x? (1) 5 (2) 3 (3) 2 (4) 6

g(x + 1) + g(x –1) = g(x) g(x+ 2) + g(x) = g(x + 1) Adding these two equations we get g(x + 2) + g(x – 1) = 0 ⇒ g(x + 3) + g(x) = 0 ⇒ g(x + 4) + g(x + 1) = 0 ⇒ g(x + 5) + g(x + 2) = 0 ⇒ g(x + 6) + g(x + 3) = 0 ⇒ g(x + 6) – g(x) = 0

Summary

Visual DI

I am going to solve all DI questions without using pen!

Type Difficult

Bar Easy

Table Medium

Table Difficult

Table Difficult Bar Easy

Bar Easy

Bar Medium

Line Medium

Line Easy

Line Medium

City 2010 2020 2030 A 20 30 35

B 30 35 42 C 40 55 63

D 25 33 40

E 15 21 20

DI Set 1

Budgets of Cities A – E in Lacs

City 2010 2020 2030 A 20 30 35

B 30 35 42 C 40 55 63

D 25 33 40

E 15 21 20

Which year has shown maximum percentage growth as compared to last year?

city 2010 2020 2030

A 20 30 35

B 30 35 42

C 40 55 63

D 25 33 40 E 15 21 20

If Combined budget of 2040 is average of 2010 and 2020 budget. Find the budget of city E. if %age spent for each city remain same as 2030

city 2010 2020 2030

A 20 30 35

B 30 35 42

C 40 55 63

D 25 33 40 E 15 21 20

Cities with budget less than 30% of the total in 2030 are expected to get double allocation in 2040. Rest all cities remain same. Find the allocation to city E if total budget is 300 lacs.

DI Set 2

What is the Difference between maximum and minimum cost as a percentage of minimum cost.

Minimum profit / cost is for which year 97 98 99 00

If profits in 2001 was 150. Growth in profits is maximum for which year as compared to last year. 98 99 00 01

DI Set 3

Highest percentage change in number of students is shown by which dept and in which year as compared to last year

Which department has added maximum number of people in the given period.

If A – dept with maximum number of students. B – Second highest, C – Third and D - 4th

Which department has got maximum number of Ds

Summary

Verbal Ability

RC in half time 15

Logical Reasoning Puzzles 14

Paragraph Comp & Jum 8

Grammar/Sentence Cor 5

Vocab & FIBs 5

Critical Reasoning 2

Logical Reas others 1

Easy 15

Medium 23

Difficult 12

Attempts 32 - 35

Topic Difficult Total

RC Difficult 3

Easy 4

Medium 5

Medium 3 LR Difficult 3

Easy 3

Easy 4 Medium 4

Paragraph Easy 4

Medium 4

Word Usage Medium 2

Fill in the blanks Easy 1

Medium 2

Grand Total 50

Passage 1 – Science based RC (easy to read)

Q1 Main point of the passage (Inference based ques) Q2 Find the Inference based RC (Inference based ques) Q3 According to the author “…..” (Fact based ques)

Passage 2 – Social RC women empowerment (medium to read)

Q1 Reason for “……” (Fact based ques) Q2 “…….” means (Fact based ques) Q3 Tone of the passage (Fact based ques)

Passage 3 – Management based passage (medium to read)

Q1 Find the theme of the passage (Inference based ques) Q2 Inference of the passage (Inference based ques) Q3 “……..” means (Fact based ques) Q4 What question can be asked to author during the interview after reading the passage? (Inference based ques)

8 Paragraph based questions 1. ParaJumbles (Medium difficulty) 2. Parajumbles (Easy) 3. Paragraph Completion (Medium difficulty) 4. Paragraph Completion (Medium difficulty) 5. Paragraph Completion (Easy) 6. Incoherent passage (Medium difficulty) 7. Incoherent passage (easy to medium) 8. Incoherent passage (Tough difficulty)

Para Comp

Paragraph Completion

Importance

1. Last line 2. Structural Signs 3. Keywords Strategy 4. Tone of the passage 5. Conclusion driven 6. Scope based 7. Pre phrasing 8. Story telling 9. G Strategy

The audiences for crosswords and sudoku, understandably, overlap greatly, but there are differences, too. A crossword attracts a more literary person, while sudoku appeals to a keenly logical mind. Some crossword enthusiasts turn up their noses at sudoku because they feel it lacks depth. A good crossword requires vocabulary, knowledge, mental flexibility and sometimes even a sense of humor to complete. It touches numerous areas of life and provides an “Aha!” or two along the way. Sudoku __________

(1) Sudoku, on the other hand, is just a logical exercise, each one similar to the last.

(2) Sudoku, incidentally, is growing faster in popularity than crosswords, even among the literati.

(3) Sudoku, on the other hand, can be attempted and enjoyed even by children.

(4) Sudoku, however, is not exciting in any sense of the term.

The audiences for crosswords and sudoku,

understandably, overlap greatly, but there are differences, too.

A crossword attracts a more literary person, while sudoku appeals to a keenly logical mind.

Some crossword enthusiasts turn up their noses at sudoku because they feel it lacks depth.

A good crossword requires vocabulary, knowledge, mental flexibility and sometimes even a sense of humor to complete. It touches numerous areas of life and provides an “Aha!” or two along the way.

Sudoku __________

(1) Sudoku, on the other hand, is just a logical exercise, each one similar to the last.

(2) Sudoku, incidentally, is growing faster in popularity than crosswords, even among the literati.

(3) Sudoku, on the other hand, can be attempted and enjoyed even by children.

(4) Sudoku, however, is not exciting in any sense of the term.

Incoherent Passages

A. Banks are places where people can keep their money. B. Today, when a person earns money from their job, their paycheck is deposited (put) into their account. C. Bank account are used to earn money by making fixed deposits. D. Most people use banks to save money in their savings accounts and to pay money from their checking accounts. Incoherent statement is: 1. A 2. B 3. C 4. D

A. Reliance Industries (RIL), India’s largest company, saw its earnings before interest and taxes jump 15 per cent from the first quarter to the second, though net profits grew at a far more modest 2.6 per cent. B. Part of the reason for this was a sharp, 8 per cent-plus fall in its refining margins, down from $8.40 per barrel in Q1 to $7.70 per barrel in Q2. C. For RIL, refining and selling oil and making petrochemicals are not new. Investors understand these businesses and value them realistically. D. This fall happened because the Asian demand — and, therefore, pricing — of lighter fuels like diesel and petrol was under pressure, possibly because most major emerging economies are growing slower than they were before. Incoherent statement is: 1. A 2. B 3. C 4. D

Para Jumbles

A. To be culturally literate is to possess the basic information needed to thrive in the modern world. B. Nor is it confined to one social class; quite the contrary. C. It is by no means confined to ‘culture’ narrowly understood as an acquaintance with the arts. D. Cultural literacy constitutes the only sure avenue of opportunity for disadvantaged children, the only reliable way of combating the social determinism that now condemns them. E. The breadth of that information is great, extending over the major domains of human activity from sports to science. a. AECBD b. DECBA c. ACBED d. DBCAE

Grammar Strategies

Choose the options in which the usage of the word is INCORRECT or INAPPROPRIATE.

PASSING (1) She did not have passing marks in mathematics. (2) The mad woman was cursing everybody passing her on the road. (3) At the birthday party all the children enjoyed a game of passing the parcel. (4) A passing taxi was stopped to rush the accident victims to the hospital.

The usage of ‘passing her ’ is inappropriate, one can simply say ’passing on the road ‘ or ‘ passing by ‘.

CISE strategy

Their achievement in the field of literature is described as ___; sometimes it is even called ___.

1. magnificent ... irresponsible 2. insignificant ... influential 3. significant ... paltry 4. unimportant ... trivial

Logical Reasoning

Each of the 3 ABC houses in a street has 3 family members. Each of them earn salary of 1Lac - 9 Lac. Integer and distinct value. Such that house A’s household salary is 2 more B and B’s Salary is 2 more than C. Maximum possible household income is? A. 19 B. 18 C. 17 D. 16

19, 17, 15

Each of the 3 ABC houses in a street has 3 family members. Each of them earn salary of 1Lac - 9 Lac. Integer and distinct value. Such that house A’s household salary is 2 more B and B’s Salary is 2 more than C. If people 2 and 4 Lac income are coming from one household. Find the highest possible salary of third partner? A. 9 B. 8 C. 7 D. 6

247, 915, 836

Each of the 3 ABC houses in a street has 3 family members. Each of them earn salary of 1Lac - 9 Lac. Integer and distinct value. Such that house A’s household salary is 2 more B and B’s Salary is 2 more than C. Which of the following is the possible combination of household income? A. 1,9,3 B. 3,4,7 C. 2,4,7 D. None of these

The plan above shows an office block for six officers — A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s, but on the same side.

The plan above shows an office block for six officers — A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s, but on the same side. If E changes seat with B, B > C, C > F and D > A and if this change happen 15 times. E sits in his office and faces the corridor, whose office is to his left?

The plan above shows an office block for six officers — A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s, but on the same side. If A changes seat with B, B > C, C > F and D > A and if this change happen 15 times. Whose office faces A’s office?

The plan above shows an office block for six officers — A, B, C, D, E and F. Both B and C occupy offices to the right of the corridor (as one enters the office block) and A occupies an office to the left of the corridor. E and F occupy offices on opposite sides of the corridor but their offices do not face each other. The offices of C and D face each other. E does not have a corner office. F’s office is further down the corridor than A’s, but on the same side. If A changes seat with B, B > C, C > F and D > A and if this change happen 15 times. Who is/are F’s neighbour(s)?

A king has unflinching loyalty from eight of his ministers M1 to M8. M1 likes fishing and smoking, but hates gambling. M2 likes smoking and drinking, but hates fishing. M3 likes gambling, but hates smoking, M4 likes mountaineering, but hates drinking, M5 likes drinking, but hates smoking and mountaineering. M6 likes fishing, but hates smoking and mountaineering. M7 likes gambling and mountaineering, but hates fishing. M8 likes smoking and gambling, but hates mountaineering.

M1 likes fishing and smoking, but hates gambling. M2 likes smoking and drinking, but hates fishing. M3 likes gambling, but hates smoking, M4 likes mountaineering, but hates drinking, M5 likes drinking, but hates smoking and mountaineering. M6 likes fishing, but hates smoking and mountaineering. M7 likes gambling and mountaineering, but hates fishing. M8 likes smoking and gambling, but hates mountaineering.

King has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected. Who are the four people selected by the king? a. M1, M2, M5 and M6 b. M3, M4, M5 and M6 c. M4, M5, M6 and M8 d, M1, M2, M4 and M7

If M4 and M7 hate smoking. How many ministers hate smoking in all? a. 4 b. 5 c. 6 d. 7

What can be the maximum number of ministers liking mountaineering? a. 4 b. 5 c. 6 d. 7

Summary

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