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CAT Quantitative Aptitude Shortcut Methods

CAT Quantitative Aptitude Shortcut Methods

Edited By Team Careers360 | Updated on Aug 18, 2024 07:01 PM IST | #CAT

The Common Admission Test (CAT) is the gateway to the world of management for a student in India. The question paper is prepared by the top IIMs (Indian Institutes of Management) of the country every year. CAT exam easily creates a niche for itself among the top admission tests of the country’s academia. In this article, you’ll find some CAT Quantitative Aptitude shortcut methods that will be helpful for those preparing for the CAT 2024 exam.

CAT Quantitative Aptitude Shortcut Methods

Using quant shortcut methods can increase the chances of getting a good score in the Quantitative Aptitude section of the CAT 2024 exam. These CAT Quantitative Aptitude shortcut methods save time by making candidates rely less on the on-screen calculator and long-drawn calculations. In this article you'll find CAT number system shortcut tricks, arithmetic shortcut tricks, algebra shortcut tricks, and shortcut tricks from other CAT QA topics.

So make use of the CAT shortcut methods given in the article and don’t forget to practice questions daily.

CAT 2024 Exam Pattern

There are basically 3 sections in CAT Examination, which are:

Section

No. of Q’s

Time

A. Verbal Ability and Reading Comprehension

24

40 min.

B. Data Interpretation and Logical Reasoning

20

40 min.

C. Quantitative Ability

22

40 min.

Total

66

120 min. (2 hr.)

Each correct answer fetches 3 marks. Hence the total marks of the examination are 66 x 3 = 198. To achieve a good score in this section, it is important to solve questions quickly and accurately, and CAT Quantitative Aptitude Shortcut Methods or Shortcut Tricks for CAT Quant 2024 are quite helpful.

CAT Quantitative Aptitude section: An overview

CAT QA Syllabus

The syllabus of CAT exam is only what we have studied in our schools till the tenth standard. However, no specific syllabus exists. But for a better understanding of the CAT Quantitative Aptitude syllabus, we can refer to the following table:




Arithmetic

1. Percentage (Basics and related questions)

2. Ratios (Basics and related concepts i.e. Proportion and Variation)

3. Averages (Basics and related concepts i.e. Mixtures & Alligation)

4. Profit & Loss

5. Simple and Compound Interest

6. Time, Speed and Distance

(Questions related to Trains, Boats, Circular track etc.)

7. Time & Work


Number System

1. Numbers and their classification i.e. Prime numbers, rational numbers, fractions, integers etc.

2. Divisibility Rule

3. Factorization of Numbers

4. LCM & HCF related questions



Geometry

1. Lines and angles

2. Triangles (area, similarity, congruency etc.)

3. Circles

4. Quadrilaterals (Rectangle, square, trapezium)

5. Mensuration (Area and volume of 2D and 3D figures)

6. Trigonometry

7. Co-ordinate Geometry


Algebra

1. Advance Linear Equations

2. Quadratic Equations

3. Inequalities & Modulus

Miscellaneous

1. Permutation & Combination

2. Probability


Why are shortcut methods important for the CAT exam?

The Quantitative Aptitude section’s weightage is 66 marks out of a total of 198 marks. For good percentiles, score must be as follows (as per a review of previous exams):

1. Score > 33 = 99+ percentile {Attempts must be at least 14 with high accuracy}

2. Score > 24 = 95+ percentile {Attempts must be at least 10 with high accuracy}

3. Score > 18 = 80+ percentile {Attempts must be at least 7 with high accuracy}

The total time for this section is 40 min., so if the target score is more than 99 percentile, then for each question we get less than 3 min. and if the target score is more than 95 percentiles then we get around 4 min. for each question. In this time, we have to read, understand, and solve the question which is impossible to do without using the right approach and shortcut methods. Let’s understand how we can save time using Quantitative Aptitude Shortcut Techniques for CAT Exam:

CAT Number System Shortcut Tricks

Generally, 2-3 questions are asked from this section directly in the CAT Exam, but concepts of the number system are important to solve questions related to other sections i.e. algebra and arithmetic. Some CAT Quantitative Aptitude Shortcut Methods related to the number system are as under:

Divisibility rules

Understanding Divisibility rules is important to know whether any number is divisible by a divisor or we are wasting time in simplification, for ex: N= 37895; N/9; the rule of divisibility of 9 is that if the sum of digits of the dividend (N) is divisible by 9 then the number is also divisible by 9. In this example, sum of digits of N is 3+7+8+9+5 = 32, 32 is not divisible by 9 so there is no need to divide the number.

Let’s understand another shortcut method out of Shortcut Tricks for CAT Quant 2024:

? If ‘abcabc’ / 1001 then ans is ‘abc’. If a number is in the form of ‘abcabc’ then we can say that the number is definitely divisible by 1001 and its factors which are 3,7 & 11.

Ex: N = 325325 / 1001 = 325.

Prime factorization technique

Prime factorization is important while solving questions related to LCM & HCF and basic numbers questions related to the divisibility rule and classification of numbers. Let’s understand a shortcut method out of Shortcut Tricks for CAT Quant 2024:

? While factorization, always break the no. in big numbers.

Ex: N= 240 = 2 x 120 = 2 x 2 x 60 = 2 x 2 x 2 x 30 [ This is time taking]

Or N = 240 = 16 x 15 = 24 x 3 x 5

Simplification techniques

To simplify the calculation while solving questions related to the CAT Exam, simplification by short methods can save a great amount of time, let’s understand this with the help of the following example:

Simplification of fractions or how to cancel out -

ex: (50 x 35 + 28 x 25) / (75x30 + 60 x 15)

M-1

(1750+ 700) / (2250+900) = 2450/3150 = 245/315 = 49/63 = 7/9

M-2 [Take common if possible- it will save time or effort]

25 x 7 (2 x 5 + 4 x1) / 15 x 30 (5 x1 + 2 x 1) = 25 x 7 x 14 / 15 x 30 x 7 = 7/9

(Cancel out as much as possible rather than multiplication, this will make calculation easy)

Squaring and cubing numbers

Vedic Mathematics Tricks are most important to make the calculation part easy. One should learn squares from 1-25 (at least) and cubes from 1-12 (at least) which are helpful to find the squares and cubes of greater numbers. We can understand this from the following general approaches which are out of shortcut methods to find squares and cubes.

Square of 2-digit numbers:

To find the square of a two-digit number you can use the following method which is a general method for all such numbers:

N = ‘ab’ [ wherein b-unit digit and a-tens digit]

N2 = a (‘ab’ + b) / b2

Ex: (i) 312 = 3(31+1)/ 12 = 3(32)/1 = 96/1 = 961

(ii) 472 = 4(47+7)/ 72 = 4(54)/ 49 = 216/49 = 216+4/9 = 220/9 = 2209

[Note: If there are 2 digits in the second part then the ten’s digit will be added to the first part]

Square of 3-digit numbers:

To find the square of a 3-digit number you can use the following method which is a general method for all such numbers:

N = ‘abc’ [ wherein c-unit digit, b-tens digit and a-hundreds digit]

N2 = a (‘abc’ + ‘bc’) / ‘bc’2

Ex: (i) 3012 = 3(301+1)/ 012 = 3(302)/01 = 906/01

= 90601

Note: [There must be only two digits in the second part, if we get only one digit after squaring then we have to write zero before digit i.e.1 as 01 and if we get more than two digits then we have to add hundreds digit in the first part like following example]

(ii) 1172 = 1(117+17)/ 172 = 1(124)/ 289 = 124+2/89 = 126/89 = 12689

This approach will save time if the numbers are close to multiples of hundred like 301, 407, 119 etc. For different type of numbers, we use different approaches to save time.

CAT Arithmetic Shortcut Tricks

The arithmetic section is basically the combination of three basic concepts (Percentage, Ratio & proportion, Average) and their applications in different ways. In the CAT Exam, out of 22 questions, generally, 8-9 questions are asked from the arithmetic section. The basics of simple equations and calculations are the base for solving arithmetic questions. Following are some shortcut methods related to arithmetic section:

Addition and subtraction shortcuts:

Addition and subtraction are the base of the calculation part. To improve our calculation, we can work over some basic techniques related to addition and subtraction, let’s understand this with the help of some examples (practice these without pen and paper):

Addition Techniques:

  1. If we have to add 8 or 9 in any number, then we can use 8 as 10-2 and 9 as 10-1 because addition of 10 in number is very simple.

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Ex: (i). 28+8 = 28+10-2 = 38 -2 = 36

(ii). 36+9 = 36+10-1 = 46 -1 = 45

  1. If we have to add 2-digit number in any number then break the number and add in two parts.

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Ex: (i). 87 + 65 = 87+ 60 + 5 = 147 + 5 = 152

[now after breaking the number, adding 60 to 87 is easy as we have to add tens digit i.e. 6+8 = 14]

Subtraction Techniques:

  1. If we have to subtract 8 or 9 from any number, then we can use 8 as 10-2 and 9 as 10-1 because subtraction of 10 from any number is very simple.

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Ex: (i). 29 - 8 = 29-(10-2) = 29-10+2 = 19+2 = 2 [ for 8 firstly subtract 10 and then add 2 ]

(ii). 36-9 = 26 + 1 = 27 [ for 9 firstly subtract 10 and then add 1]

(iii). 57-8 = 47 + 2 = 49

Multiplication techniques (Vedic Mathematics, Grid Multiplication)

Multiplication is the most used part during calculation, if we can multiply greater numbers easily then we can save time and energy, for this let’s understand a shortcut method for multiplication by using Vedic Maths:

Column II I step1: Multiply column I step 2: cross multiplication

4 2 2 4 2

X 6 3 X3 6 3

----------- -----------

6 (4 x 3) + (6 x 2) + add carry from column 1 if

any = 24 {carry forward 2}

step3: Multiply column II – 4

x 6

------------

24 + add carry from step 2 if any = 24 + 2 = 26

Now start writing result of every step (after removing carry) from step-3 to step-1

= 26/4/6 = 2646 ans.

Division shortcuts

Division is the most hectic part of the calculation. By using some shortcut techniques, we can save effort. For eg: 1/5 = 2/10; 1/25 = 4/100; 1/125 = 8/1000, let’s understand how we can use these fractions:

(i) 523/5 = 523 x 2 / 10 = 1046 / 10 = 104.6

[As we can experience that multiplication of 2 is much easier than division by 5]

(ii) 728 / 25 = 728 x 4 / 100 = 2912 / 100 = 29.12

[As we can experience that multiplication of 4 is much easier than division by 25]

(iii) 523 / 125 = 523 x 8 / 1000 = 4184 / 1000 = 4.184

[As we can experience that multiplication of 8 is much easier than division by 125]

Percentage calculations

To solve the percentage questions efficiently by using shorter methods for saving time, focus on the following points:

  1. Learn and practice the ready reference of conversion which are asked frequently, for ex: 25% = ¼, 33.33% = 1/3 (simplest conversion) but for exam like CAT we have to learn some difficult ones for ex: 1/19 = 5.26%, 18.18% = 2/11 etc. [ Don’t worry about these, by proper techniques we can learn these in 1 day but for efficiency we have to keep revising these].

  1. We have to learn 3 concepts

a. Multiplication factor (M.F.)

Ex: A has 200 Rs. And B has 30% more than A, then B = 200 x 1.3 = 260 Rs.

b. Successive % change

c. Reverse percentage comparison.

Time, speed, and distance shortcuts

Time, speed and distance (T.S.D) is basically the application of percentage and ratio (using variation). In this section, most of the questions require shortcut methods and good knowledge of percentages and ratio. Let’s understand this with the help of a shortcut method:

Ex:

Que: If a person drives with the speed of 7 km/hr. from his house to office then he reaches 10 min late but if he starts at the same time from his house with the speed of 8 km./hr. then he reaches to the office 5 min. early. Find the distance between his house and office.

Ans: If we solve it by basic method then it will take around 5-6 min. but with the help of a formula we can solve this within 30 sec.-

Let S1 = 7 km/hr. and S2 = 8 km/hr.; Given: Time difference of both conditions = 15 min. = ¼ hr.

Then D = S1 x S2 x time difference / speed difference = 7 x 8 x 1/ 4 x 1 = 14 km.

Time and Work problem-solving methods

Time and Work is also an application of ratio. In this section, most of the questions are solved by using the LCM method which is a shortcut method for these types of questions which is less time taking than basic arithmetic approach. Let’s understand this with the help of a shortcut method:

Ex: A can do a piece of work in 8 days. B can do the same in 14 days. In how many days can the work be completed if A and B work together?

Solution: TA = 8 days; TB = 14 days

Let total work to be done= LCM (TA, TB) = LCM (8,14) = 56

W = 56 units

A can do = ⁵⁶⁄₈ = 7 units/day

B can do = ⁵⁶⁄₁₄ = 4 units/day then, (A + B) together can do = 11 units per day

So, no. of days taken by (A + B) to complete the same work is = ⁵⁶⁄₁₁ days

CAT Algebra Shortcut Tricks

In Algebra section basically, we deal with variables and their properties. In Quantitative Aptitude section out of 22 questions 7-8 questions are asked from this section. Some CAT Quantitative Aptitude Shortcut Methods related to algebra section are as under:

Simplification of algebraic expressions

To simplify the algebraic equations, you must learn algebraic identities. Let’s understand how to use identities as shortcut methods to solve the questions easily.

Ex: (x2 – 3) (x2 + 3) [ We can use identity to solve that i.e. (a-b) (a+b) = a2 – b2]

= (x4 - 32) = (x4 - 9)

Factorization techniques

A quadratic equation typically takes the form ?2+??+?=0; where a,b,c are constants, and ?≠0. The goal of factorization is to express the quadratic as a product of two linear factors. Let’s understand a shortcut method rather than basic factorization method:

? If, in a quadratic equation ?2+??+?=0, (b/2)2=c then factors are (x + b/2)2= 0.

Ex: ?2+6?+9= 0; we can notice that (b/2)2=c then factors are (?+3)2=0.

Algebraic identities

Algebraic identities are useful to solve not only quadratic questions but also for calculation. Let’s understand this with a simple identity which is (a-b) (a+b) = a2 – b2 .

Ex: 42 x 38 = (40 + 2) (40 – 2) [This method is very useful for solving such multiplication]

= 402 – 22 = 1600 – 4 = 1596

CAT Geometry Shortcut Tricks

Geometry section is basically all about the properties related to different shapes. In Quantitative Aptitude section 3-4 questions are asked out of 22 questions from this section. Some CAT Quantitative Aptitude Shortcut Methods related to geometry are as under:

Pythagorean triplets and their applications

Pythagoras theorem states that, in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides i.e. H2 = Base2 + Height2.

Pythagorean triplet is a shortcut method out of Quantitative Aptitude Shortcut Techniques for CAT Exam where we can find side without using Pythagoras theorem. There are some fix pairs which defines the sides of right-angle triangle i.e. (3,4,5- 5 is hypotenuse and 3,4 are other two sides), (6,8,10), (8,15,17) etc.

[Note: Greatest side in triplets is hypotenuse]

Ex: If base = 15, height = 8 (given), then we can say that hypotenuse = 17 without using Pythagoras theorem

Tricks for solving geometry problems quickly

Geometry questions are lengthy and time-consuming. To solve these questions, we require shortcut methods. Let’s understand a shortcut method out of CAT Quantitative Aptitude Shortcut Methods:

Ex: If side of an equilateral triangle ABC is 6 cm. then find the circumradius(R) of triangle ABC.

Solution:

M-1

Formula to find circumradius of a triangle is R= product of sides of triangle / 4x area of triangle

M-2

But we can directly find the circumradius of equilateral triangle with this shortcut:

R = side/ √3 = 6 / √3 = 2 √3 Ans.

CAT Mensuration Shortcut Tricks

Mensuration section is related to area and volumes of 2D and 3D shapes. At least 1 question is asked from this section in all competitive exams including CAT. Let’s understand some basics and Quantitative Aptitude Shortcut Techniques for CAT Exam related to this section as under:

Formulas for calculating area and volume of basic shapes

Knowledge of basic formulas is must to solve the questions and to apply shortcut methods properly. Some basic formulas which are used as shortcut methods are as under:

1. Area of parallelogram = Base x Height

Ex: In a parallelogram, base = 10 and height = 6 then area = 10 x 6 = 60

Shortcut methods for complex shapes

Polygons more than 4 sides are considered as complex shapes. Out of polygons, regular hexagon is mostly asked in the CAT Examination. Let’s understand some shortcut formulas to solve problems related to complex shapes:

Ex: If side of a regular hexagon is 8 cm. then find area and circumradius of the shape.

Solution: Area = 3√3 x square of side = 3√3 x 8 = 24√3 square cm.

Circumradius (R) = 2 x side = 2 x 8 = 16 cm.

Surface area and volume calculation tricks

To find the area and volume of 3D shapes is bit lengthy than that of 2D shapes. But the base formula for some 3D shapes are same. For Cube, Cuboid and Cylinder (these shapes come under prism shapes) we can use a general formula to find area and volume which is as under:

Area = Perimeter of Base x Height

Volume = Area of Base x Height

Let’s understand how we can make formulas by using this single formula. In Cylinder, base is circular, let the radius of circular base is r and height of cylinder is h, then:

Area = Perimeter of Base (Circle) x Height = 2πr x h = 2πrh

Volume = Area of Base (Circle) x Height = πr2 x h = πr2h

CAT Trigonometry Shortcut Tricks

Trigonometry is all about measurements related to triangles. Trigonometry is used to find sides using ratios and angles in any polygon by breaking the shape in triangles. Let’s understand some shortcut techniques out of Quantitative Aptitude Shortcut Techniques for CAT Exam:

Shortcut methods for trigonometric ratios

To remember the trigonometric ratios is difficult but we can learn that using a shortcut method which we used to learn in tenth class.

Sin θ=P/H; Cos θ=B/H; Tan θ= P/B [ where P=perpendicular, B=base, H=hypotenuse]

To learn this, we can use a quote, “Pandit(P) Badri(B) Prasad(P) /Har(H) Har(H) Bole(B)” = PBP/HHB

sin θ cos θ tan θ

P B P

-----------------------

H H B

These trigonometric ratios and Pythagoras theorem are used to make trigonometric identities i.e. sin2 θ + cos2 θ = 1; which are used to solve more questions quickly.

Trigonometric equations solving techniques

To simplify trigonometric equations, we can simply convert any trigonometric ratio in terms of sin θ & cos θ or we can use any other identity:

Ex: If tan θ + sec θ = 3 then find sin θ.

Solution:

M-1 tan θ = sin θ/ cos θ; sec θ = 1/ cos θ

From given equation? sin θ/ cos θ + 1/ cos θ = 3

sin θ. cos θ + 1 = 3 cos θ

Now we can further solve this question by using the basic identity sin2 θ + cos2 θ = 1.

M-2 sec θ - tan θ = 1/ (sec θ + tan θ) [A result derived from identity sec2θ = tan2θ + 1]

Given: sec θ + tan θ = 3 …. Eq-1

So we can say sec θ - tan θ = 1/3 …...Eq-2

Now sin θ can be easily find out by solving both equations

Applications of trigonometry in geometry problems

Trigonometry is used to find sides and angles while solving geometry problems.

Ex: In triangle ABC, side AB= 10cm., BC= 7 cm. if angle B = 30 degree then find area of the triangle.

Solution: Area of the triangle = ½ x AB X BC X Sin B = ½ x10 x7 x sin 30 = ½ x 70 x ½ = 17.5

CAT Shortcut Tricks For Other Topics

Probability shortcuts techniques

Probability is occurrence chances of any event. The most important thing to keep in mind that the value of probability of any event can’t be more than 1 and less than 0.

Probability = Favorable outcomes of any event / Total possible outcomes of the event

Let’s understand some shortcut methods to find total possible outcomes of any event:

1. If n coins are tossed simultaneously then total no. of outcomes = 2n

Ex: If 3 coins are tossed simultaneously then total no. of outcomes = 23 = 8

2. If n dices are rolled simultaneously then total no. of outcomes = 6n

Ex: If 2 dices are rolled simultaneously then total no. of outcomes = 62 = 36

Permutation and combination shortcut techniques

Permutation and combination are somehow base of probability. In this section, we learn about finding all possibilities of any event. Let’s understand some shortcut methods to solve questions related to P & C:

Ex: In how many ways 5 letters can be posted in 3 letter boxes.

Solution:

Here letters have choice to choose in which letter box they will be posted as per address. So, no. of letters is considered as N and no. of letter boxes are considered as R.

So total no. of ways = RN = 35 = 243 ans.

Practice and Application

CAT Quantitative Aptitude Shortcut Method: Trick to Find the Number of Factors of Any Factorial

To find the number of factors of a factorial, like n!, follow these steps:

  1. Prime Factorization: First, find the prime factorization of n!. For this, you need to determine the highest power of each prime number that divides n!. For a prime p, this power can be calculated using the formula:
    Highest power of p in n! = (n/p) + (n/p²) + (n/p³) + …, where you stop when p^k > n.

  2. Number of Factors: Once you have the prime factorization of n!, express it in the form p₁a₁ × p₂a₂ × … × pₖaₖ. To find the total number of factors, use the formula:
    Number of factors = (a₁ + 1) × (a₂ + 1) × … × (aₖ + 1).
    Here, a₁, a₂, …, aₖ are the powers of the prime factors.

CAT Quantitative Aptitude Shortcut Method: Assumption Technique

The assumption technique is a method used in quantitative problems, especially in algebra and statistics, to simplify complex problems by making reasonable assumptions. Here’s how to use it:

  1. Identify the Variables: Understand the variables involved in the problem and what you need to find.

  2. Make an Assumption: Choose a reasonable value for one of the variables to simplify calculations. For example, assume a specific value for an unknown or a common value to test the feasibility of different options.

  3. Solve the Simplified Problem: Use the assumed value to solve the problem and derive a solution or pattern. This helps in making the problem more manageable and often leads to insights about the real values.

  4. Validate the Assumption: Check if the solution obtained with the assumption fits all conditions of the problem. Adjust the assumption if necessary and repeat the process.

CAT Quantitative Aptitude Shortcut Method: To Find the Squares of Numbers from 30 to 70

For numbers between 30 and 70, you can use the following shortcuts to quickly find their squares:

  1. Use the Formula: For numbers near 50, use the formula: (50 ± d)² = 2500 ± 2 × 50 × d + d². Here, d is the difference from 50. For example, to find 53², use:
    53² = (50 + 3)² = 50² + 2 × 50 × 3 + 3² = 2500 + 300 + 9 = 2809.

  2. Break Down Larger Numbers: For numbers further from 50, break them into simpler parts. For instance, to find 68², use:
    68² = (70 - 2)² = 70² - 2 × 70 × 2 + 2² = 4900 - 280 + 4 = 4624.

  3. Direct Multiplication: For exact squares, use direct multiplication if you’re comfortable. For example, 34² = 34 × 34 = 1156.

  4. Estimate and Adjust: For quicker estimates, find the nearest base (like 50 or 100), calculate the square, and adjust for the difference.

Using these tricks and techniques will help you tackle problems related to factorials, assumptions, and squares more efficiently.

Additional CAT Quantitative Aptitude Shortcut Methods

Percentages: To quickly find 15% of a number, calculate 10% and 5% separately and add them together. For example, 15% of 240 is 24 (10% of 240) + 12 (5% of 240) = 36.

Squaring Numbers Close to 50: For numbers close to 50, use (a+b)² = a² + 2ab + b². For example, to find 48², use (50 - 2)² = 50² - 2 × 50 × 2 + 2² = 2500 - 200 + 4 = 2304.

Multiplying Numbers Close to 100: For numbers like 97 and 98, use (100 - a) × (100 - b) = 10000 - 100(a + b) + ab. So, 97 × 98 = 10000 - 100(97 + 98) + (97 × 98) = 9506.

Percentage Increase/Decrease: To find a percentage increase, use (New Value - Old Value) / Old Value × 100%. For a decrease, the formula is (Old Value - New Value) / Old Value × 100%.

Finding the Average: To quickly find the average of a set of numbers, sum them up and divide by the number of items. For example, the average of 8, 12, and 15 is (8 + 12 + 15) / 3 = 35 / 3 = 11.67.

Simple Interest Calculation: Use the formula SI = (P × R × T) / 100, where P is the principal, R is the rate of interest, and T is the time in years.

Compound Interest Approximation: For compound interest, use the formula A = P × (1 + R/100)ⁿ, where P is the principal, R is the rate, and n is the number of periods. For quick approximation, use 1 + (R/100)ⁿ.

Ratios: To simplify ratios, divide all terms by their greatest common divisor. For example, 30:45 simplifies to 2:3 (since both 30 and 45 can be divided by 15).

Time and Work: If A can complete a job in x days and B in y days, their combined work rate is 1/x + 1/y. For example, if A can finish in 6 days and B in 12 days, their combined rate is 1/6 + 1/12 = 1/4, so they finish in 4 days.

Finding Percentages of Large Numbers: To find 8% of 1250, calculate 10% of 1250 (which is 125), and then subtract 2% (which is 25). Thus, 8% of 1250 = 125 - 25 = 100.

CAT Quantitative Aptitude Important Topics

Topics

Time and Work

Interests (SI, CI)

Time, Speed, and Distance

Probability

Geometry & Mensuration

Number System, Basic Arithmetic

Algebra

Permutation & Combination

Profit, loss, and Discounts

Trigonometry, Logarithms, and Sets

CAT Shortcut Tricks: Importance of regular practice

The complexity and intensity of the exam demand a strategic and consistent preparation approach, where regular practice plays a critical role. The CAT exam not only tests your knowledge but also your ability to apply that knowledge quickly and accurately. Frequent practice enables you to increase your speed and improve your accuracy, reducing careless mistakes and enhancing your ability to solve problems under time constraints by using different shortcut methods that you have mastered with regular practice.

Solving previous years' CAT questions using shortcut methods

Solving CAT previous year question papers helps you to understand the type of questions and approach required to solve the questions. If you have the right approach and shortcut methods to solve the questions then a great score can be achieved in the exam. To achieve the desired score and dream IIM, you have to try to learn the shortcut methods as per the requirement of the exam and you have to practice them as much as you can in CAT mock tests and previous year questions.

CAT mock test practice with time management strategies

Through continuous practice, you can identify which types of questions you are strong or weak in, allowing you to develop personalized strategies. For example, deciding which questions to attempt first, and which ones to skip helps in time management. Time management is crucial in the CAT exam since all sections are timed, and you need to balance speed with the thoroughness of your answers. The length of the CAT exam requires mental stamina to maintain focus and concentration throughout the test. Regular practice sessions that mimic the length and intensity of the actual exam can help build this stamina.

Conclusion

To achieve a great score in an exam like the CAT you have to practice the Quantitative Aptitude Tricks & Shortcuts for the CAT exam, multiple times and have to understand the exam pattern so a specific strategy can be made. A smart approach is the key to clear the CAT Exam.

Download Free Practice Questions with Detailed Solutions for CAT Exam - MCQ PDFs

CAT QA Questions with Answers

TITLE

STUDY LINKS

NUMBER SYSTEMS SET 1

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NUMBER SYSTEMS SET 2

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RATIO, PROPORTION & VARIATION SET 1

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RATIO, PROPORTION & VARIATION SET 2

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PERCENTAGES SET 1

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PERCENTAGES SET 2

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PROFIT, LOSS & DISCOUNT SET 1

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PROFIT, LOSS & DISCOUNT SET 2

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INTEREST SET 1

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INTEREST SET 2

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AVERAGES AND MIXTURES SET 1

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AVERAGES AND MIXTURES SET 2

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TIME, SPEED & DISTANCE SET 1

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TIME, SPEED & DISTANCE SET 2

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TIME & WORK SET 1

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TIME & WORK SET 2

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POLYNOMIALS SET 1

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POLYNOMIALS SET 2

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EQUATIONS SET 1

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EQUATIONS SET 2

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FUNCTIONS SET 1

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FUNCTIONS SET 2

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SEQUENCE & SERIES SET 1

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SEQUENCE & SERIES SET 2

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GEOMETRY SET 1

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GEOMETRY SET 2

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MENSURATION SET 1

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MENSURATION SET 2

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PERMUTATIONS AND COMBINATIONS SET 1

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PERMUTATIONS AND COMBINATIONS SET 2

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PROBABILITY SET 1

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PROBABILITY SET 2

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SET THEORY SET 1

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SET THEORY SET 2

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COORDINATE GEOMETRY SET 1

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COORDINATE GEOMETRY SET 2

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TRIGONOMETRY SET 1

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TRIGONOMETRY SET 2

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LOGARITHM AND SURDS SET 1

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LOGARITHM AND SURDS SET 2

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STATISTICS SET 1

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STATISTICS SET 2

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CAT VARC Questions with Answers


TITLE

STUDY LINKS

READING COMPREHENSION SET 1

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READING COMPREHENSION SET 2

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PARA JUMBLES SET 1

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PARA JUMBLES SET 2

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PARACOMPLETION SET 1

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PARACOMPLETION SET 2

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PARASUMMARY SET 1

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PARASUMMARY SET 2

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ODD ONE OUT/MISFIT SENTENCE SET 1

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ODD ONE OUT/MISFIT SENTENCE SET 2

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CAT DILR Questions with Answers

TITLE

STUDY LINKS

ANALYTICAL PUZZLES SET 1

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ANALYTICAL PUZZLES SET 2

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BAR GRAPHS SET 1

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BAR GRAPHS SET 2

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BINARY LOGIC SET 1

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BINARY LOGIC SET 2

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BLOOD RELATIONS SET 1

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BLOOD RELATIONS SET 2

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CASELETS SET 1

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CASELETS SET 2

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CUBES AND DICING SET 1

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CUBES AND DICING SET 2

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DECISION MAKING SET 1

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DECISION MAKING SET 2

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GAMES AND TOURNAMENTS SET 1

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GAMES AND TOURNAMENTS SET 2

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INNOVATIVE GRAPHS SET 1

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INNOVATIVE GRAPHS SET 2

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LINE GRAPHS SET 1

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LINE GRAPHS SET 2

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LINEAR AND CIRCULAR ARRANGEMENT SET 1

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LINEAR AND CIRCULAR ARRANGEMENT SET 2

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LOGICAL DEDUCTIONS AND CONNECTIONS SET 1

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LOGICAL DEDUCTIONS AND CONNECTIONS SET 2

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ORDERING AND SEQUENCING SET 1

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ORDERING AND SEQUENCING SET 2

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PIE CHARTS SET 1

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PIE CHARTS SET 2

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RADAR GRAPHS SET 1

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RADAR GRAPHS SET 2

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REASONING BASED DI SET 1

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REASONING BASED DI SET 2

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ROUTES AND NETWORKS SET 1

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ROUTES AND NETWORKS SET 2

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SCATTER GRAPHS SET 1

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SCATTER GRAPHS SET 2

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SELECTIONS AND DISTRIBUTIONS SET 1

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SELECTIONS AND DISTRIBUTIONS SET 2

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SYLLOGISM SET 1

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SYLLOGISM SET 2

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TABLE BASED DI SET 1

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TABLE BASED DI SET 2

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VENN DIAGRAMS SET 1

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VENN DIAGRAMS SET 2

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Frequently Asked Questions (FAQs)

1. What topics are covered in the Quantitative Ability section?

The CAT QA section covers the following topics:

  • Percentage

  • Ratios

  • Averages

  • Profit & Loss

  • Simple and Compound Interest

  • Time, Speed and Distance 

  • Time & Work

  • Numbers and their classification

  • LCM & HCF 

  • Lines and angles

  • Triangles

  • Circles

  • Quadrilaterals

  • Mensuration

  • Trigonometry

  • Co-ordinate Geometry

  • Advance Linear Equations

  • Quadratic Equations

  • Inequalities & Modulus

  • Permutation & Combination

  • Probability

2. How many questions are typically in the Quant section, and what is the time limit?

The Quant section has a total of 22 questions with a sectional time limit of 40 minutes.

3. How should I prepare for the Quant section?
  • Go through the CAT QA syllabus and understand the exam pattern. Start by revising basic concepts.

  • Take the help of online or offline tutors if you’re weak in maths. A thorough understanding of basic concepts is necessary.

  • Practice questions from CAT QA books, sample papers and PYQs regularly.

  • Don’t forget to revise the concepts that you have studied.

  • Take mock tests regularly to gauge your performance and analyze the mocks to identify your strengths and weaknesses. Work on weak areas accordingly.

4. Are CAT shortcut methods reliable?

Yes, if you use shortcut methods correctly then they are reliable. For this, you should practice a lot using shortcut methods to improve your accuracy and speed.

5. How to practice questions using shortcut methods?

You can start practicing with LOD 1 (Level of Difficulty 1) questions. Once you get comfortable with the methods, move to sample papers and CAT PYQs. Solve a lot of questions from each topic.

6. What can I do to solve quantitative aptitude questions quickly?

First and foremost, you should be completely well-versed in the basics of each topic. Important formulas and calculation shortcut methods should all be memorized by practicing questions consistently. Set a timer to check how much time you take to solve each question and focus on the ones that take the most time. 

7. Is the CAT quantitative aptitude section easy?

The CAT QA section is not considered easy by students. The difficulty level is moderate to high. But with solid preparation and adequate practice, this section can be tackled.

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Questions related to CAT

Have a question related to CAT ?

Hello!

Prep for CAT 2024: Application Pattern

Syllabus: Focus on those areas that fall under the syllabus; for instance, Quantitative Aptitude, Verbal Ability & Reading Comprehension, and Data Interpretation & Logical Reasoning.

Books: Stick to standard books from renowned authors, say, Arun Sharma for Quant, Norman Lewis in vocabulary, and some mock tests available from TIME, IMS, or Career Launcher.

Mock Tests: Take mocks and study the mistakes made.

Time management: F ocus on speed and accuracy.

If you need a more structured approach, consider a coaching institute.

Start early and become a regular.

Wishing you the best! thankyou!

Hello,

While starting your CAT preparation late can be challenging, it's still possible to achieve a good score with focused effort. Prioritize understanding the exam pattern, and focus on key areas like Quantitative Ability, Data Interpretation, Logical Reasoning, and Verbal Ability.

Create a structured study plan, practice regularly with mock tests, and review your performance to identify weaknesses. Use quality study materials and consider joining a coaching class if time permits. Stay consistent and motivated, and remember that dedicated effort in the coming weeks can lead to positive results.

You can refer to the following article for help :

https://bschool.careers360.com/articles/last-minute-preparation-strategy-for-cat

Good luck!

I understand your situation, Aishwarya. Preparing for the CAT while balancing your final year of engineering can be challenging, especially without coaching. However, with dedication and the right approach, it's definitely possible to crack the exam.

Here are some tips to help you get started:

1. Assess Your Strengths and Weaknesses:

  • Practice Regularly: Solve as many CAT questions as possible to identify your strengths and weaknesses.
  • Focus on Weak Areas: Devote more time to areas where you struggle, such as VARC.

2. Build a Strong Foundation:

  • Basic Concepts: Ensure you have a solid understanding of basic grammar, vocabulary, and reading comprehension techniques.
  • Practice Reading: Develop a habit of reading newspapers, books, and articles regularly to improve your reading speed and comprehension.

3. Effective VARC Preparation:

  • Practice RCs: Solve a variety of RC passages from different topics to get comfortable with different styles and difficulty levels.
  • Analyze Answers: Understand why the correct answer is correct and why the incorrect options are wrong.
  • Seek Guidance: If you're struggling with VARC, consider joining online forums or communities where you can discuss questions and get help from others.

4. Online Resources:

  • Free Online Courses: Utilize platforms like Coursera, edX, and Khan Academy for free online courses on CAT preparation.
  • Mock Tests: Take as many mock tests as possible to assess your progress and identify areas for improvement.

5. Create a Study Plan:

  • Time Management: Allocate specific time slots for CAT preparation, considering your academic commitments.
  • Consistency: Stick to your study plan and avoid procrastinating.

6. Stay Motivated:

  • Set Goals: Break down your goal of getting into IIMB into smaller, achievable targets.
  • Celebrate Achievements: Reward yourself for your progress to stay motivated.

While coaching can be helpful, it's not essential. With dedication, perseverance, and effective study strategies, you can definitely crack the CAT and achieve your goal of getting into IIMB.

Remember, starting now is a great decision. The earlier you begin, the more time you'll have to improve your skills and build confidence. Good luck!


For more information about CAT exam you can go through the link attached below.

https://bschool.careers360.com/exams/cat

It just indicates that you have a provisional allocation and that registration for the general category is now open without reservation.If you meet the prerequisites to be enrolled in that specific course at your college, you can be admitted to the designated college.

Hello,

No, you cannot select the NC-OBC (Non-Creamy Layer Other Backward Classes) section in the CAT registration form if you belong to the RBA (Reserved Backward Area) category, even if your family income is less than Rs. 8 lakhs.

The NC-OBC category in the CAT registration form is specifically for candidates who belong to the Non-Creamy Layer of the Other Backward Classes (OBC) as per the central government’s list of OBCs. The RBA category is a separate category applicable mainly in states like Jammu & Kashmir, and it does not fall under the central OBC category.

If you belong to the RBA category, you should select the appropriate category you qualify for in the CAT registration form (General, SC, ST, EWS, or any other applicable category based on state or central government recognition).

Hope it helps !

Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


Directions for question:

The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :

Question:

What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?

Option: 1 None

Option: 2 None

Option: 3 None

Option: 4 None

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


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