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# CMAT 2016 Quantatitive Aptitude and Data Interpretation Tips

Last Updated - December 04, 2015

Quantitative Aptitude is the most important section in CMAT. This section is asked with Data Interpretation. 25 questions are asked from this section with the weightage of 100 marks.  It is the most scoring section and has very less chances of error if you have practiced well. In this article we will provide you information about syllabus of the quant section, type of questions asked, and their difficulty level and preparation strategy for these questions.

CMAT 2016 countdown has begun. This year test will be held on a single day and thus the competition is very high this time. Those who have applied for CMAT must be preparing according to the syllabus and pattern of the test for each section.  CMAT comprises of four sections – Language Comprehension, Quantitative Aptitude and Data Interpretation, Logical Reasoning and General Awareness. No of Questions asked form each section is 25 i.e. total 100 questions. Time allotted for whole test is 180 minutes. Each question carries 4 marks and there is negative marking of 1 mark.

Before satrting your preparation you must know the syllabus which is covered in CMAT and type of questions asked from each topic.

### CMAT Quantitative Aptitude Syllabus:

Although there is no predefined syllabus for CMAT, however on the basis of previous year test patterns and analysis we can easily understand the areas from which questions are asked.

Main Area

Sub topics

Number Systems, LCM and HCF, Percentages, Profit and Loss, Interest (Simple and Compound), Speed, Time and Distance, Time and Work, Averages, Ratio and Proportion, Mixture Alligation, Partnership, Pipes and Cistern

Algebra

Linear and Quadratic Equation, Progressions - AP, GP, HP, Inequalities, Function, Set Theory, Permutation & Combination

Geometry

Triangles, Circles

Trigonometry

Height and Distance

Mensuration

Questions based on Area, Volume and other parameters of various geometric shapes like- Cube, cuboid, cylinder, cone, square, frustum, prism, pyramid etc.

Probability

Simple Probability, Probability of Multiple Events, Independent and Dependent Events, Mutually, Exclusive Events, Conditional Probabilities, Combinations

Following are the section wise examples of type of questions asked in previous years CMAT-

### Number System/LCM-HCF

In Number system questions are mainly asked from divisibility, factors, LCM-HCF. Following are some examples of questions from number system-

Ex.1. The sum of the factors of a number is 124. What is the number?

1. Number lies between 40 and 50

2. Number lies between 50 and 60

3. Number lies between 60 and 80

4. More than one such number exists

Ex 2. Find the largest five digit number that is divisible by 7, 10, 15, 21 and 28.

1. 99,840  2. 99,900  3. 99,960  4. 99,990  5. 99,970

Ex3. 1025 – 7 is divisible by _____

1. 2  2. 3  3. 9  4. Both (2) and (3)

### Percentages/Average/Ratio and Proportion

Ex1. A two digit number ab is 60% of x. The two-digit number formed by reversing the digits of ab is 60% more than x. Find x?

1. 45  2. 54  3. 63  4. 72

Ex 2. Consider a class of 40 students whose average weight is 40 kgs. m new students join this class whose average weight is n kgs. If it is known that m + n = 50, what is the maximum possible average weight of the class now?

1. 40.18 kgs  2. 40.56 kgs  3. 40.67 kgs  4. 40.49 kgs

Ex 3. Two liquids A and B are in the ratio 5 : 1in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?

1. 2:3  2. 4:3  3. 3:2  4. 3:4

### Profit, Loss and Discount

Important Formulae

• Gain = SP-CP
• Loss= CP-SP

Where CP = Cost Price, SP = Selling Price

*Profit and Loss is always calculated on CP.

• Gain%= (Gain *100 / C.P); Loss%=(Loss*100 / S.P)
• S.P= (100 + Gain%) / 100 * (C.P); S.P=(100 – Loss%) / 100 * (C.P)
• C.P= (100/(100 + gain%)* (S.P)); C.P=(100/(100 – Loss%) * (S.P))

Ex 1. A merchant marks his goods in such a way that the profit on sale of 50 articles is equal to the selling price of 25 articles. What is his profit margin?

1. 25%  2. 50%  3. 100%  4. 66.67%

Ex 2. If a merchant offers a discount of 30% on the list price, then she makes a loss of 16%. What % profit or % loss will she make if she sells at a discount of 10% of the list price?

1. 6% loss 2. 0.8% profit 3. 6.25% loss 4. 8% profit

### Trains

• Speed = distance / time or length /time.

To convert km/hr to m/s:

• u (km/hr) = u*5/18 (ms/s)

To convert m/s to km/hr:

• u (m/s) = u*18/5 (km/hr).

Important tricks-

• If two trains are going in same direction and speed of first train is u and second train is the relative speed= u+v, for opposite direction u-v
• If train is crossing a man, pole then time taken by it is equal to time taken in traveling its length.
• If train crosses a platform or tunnel or bridge then time taken by it is equals to time taken in traveling the distance equal to length of platform plus length of train

Q. A train is 100 m long and is running at the speed of 30 km per hour. Find the time it will take it will take to pass a man standing at a crossing?

A. speed  of the train = 30*5/18= 25/3 m/s

Length of the train = 100 m

Time = distance/speed

= 100/25/3

= 12 sec.

### Time and Work

Important Tricks

• If A can do a piece of work in n days, work done by A in 1 day = 1/n, If A does 1/n work in a day, A can finish the work in n days
• If M1 men can do W1 work in D1 days working H1 hours per day and M2 men can do W2 work in D2 days working H2 hours per day (where all men work at the same rate), then-

M1 D1 H1 / W1 = M2 D2 H2 / W2

• If A can do a piece of work in p days and B can do the same in q days, A and B together can finish it in pq / (p+q) days
• If A is thrice as good as B in work, then Ratio of work done by A and B = 3 : 1, Ratio of time taken to finish a work by A and B = 1 : 3

Q1. A can do a piece of work in 10 days and B can do it 20 days. How many days will both take together to complete the work?

a) 15     b) 24/5     c) 20/3     d) 30Work and Time

Q2.  A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in?

a) 5 days     b) 8 days     c) 10 days     d) 9 days

Q3. A and B can do a work in 18 and 24 days respectively. They worked together for 8 days and then A left. The remaining work was finished by B in?

a) 5 days     b) 16/3 days         c) 8 days     d) 10 days

### Permutation and Combination

• The different arrangements of a given number of things by taking some or all at a time, are called permutations.
• All permutations made with the letters a, b, c by taking two at a time are-  (ab, ba, ac, ca, bc, cb)
• All permutations made with the letters a, b, c taking all at a time are (abc, acb, bac, bca, cab, cba)
• Number of all permutations of n things, taken all at a time = n!.
• Number of all permutations of n things, taken r at a time, is given by: nPr = n!/(n-r)!

Examples:

• 6P2 = (6 x 5) = 30
• 7P3 = (7 x 6 x 5) = 210

Note- If there are n subjects of which p1 are alike of one kind; p2 are alike of another kind;p3 are alike of third kind and so on and pr are alike of rth kind,
such that (p1 + p2 + ... pr) = n.

Then, number of permutations of these n objects is = n!/(p1!).(p2)!.....(pr!)

### Simple and Compound Interest

• Simple interest SI = PRT/100

Where P= principal, R= rate, T= time

• For Compound interest,  A = P (1+ r/100)n

Where A is amount, P is principal, r is rate and n is time. CI can be calculated as, CI= A-P.

Ex1. A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

a. 120  b. 121  c. 122  d. 123

Ex2. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

a. 625  b. 630  c. 640  d. 650

### Mensuration

Ex 1. An entrance hall is 12m broad and 15m long. If the sum of the areas of the ceiling and the floor is equal to the addition of 4 walls, then what is the hall’s volume?

Solution: Let’s find out the height h first,

h*2 (12+15) =2 (12*15)

h= 180/27m

=20/3m.

Therefore volume = [15*12* (20/3)]

=  1200 meter cube.

### Boats and Stream

Important Points-

• Direction along the stream is called Downstream. Direction against the stream is called upstream.

1. If the speed in the still water is x km / hr and the speed of the stream is y km / hr then-

 Speed downstream = (x + y) km / hr.Speed upstream = (x – y) km / hr.

2. If the speed downstream is u km / hr and the speed upstream is v km / hr then,

 Speed in still water = (1 / 2) (a + b) km / hr.Rate of stream = (1 / 2) (a – b) km / hr.

### Time and Distance

•  Speed = Distance/Time; Time= Distance/Speed.
• Average Speed = Total distance/Total time
• If someone covers a certain distance at x kmph and y kmph respectively. Average speed = 2xy/x+y
• Suppose two objects travel same distance with S1 and S2 speed with t1 and t2 time respectively then,  S1:S2= t1:t2

Quantitative Aptitude section is the most scoring section if you prepare well and practice mock tests as much as possible, you will definitely score well in this section. CMAT 2016 is going to be held on January 17, 2016.

CMAT 2016 Logical Reasoning Preparation Tips

CMAT 2016 Group Discussion and Personal Interview Preparation Tips

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