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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.
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-
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)
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
Important Formulae
Where CP = Cost Price, SP = Selling Price
*Profit and Loss is always calculated on CP.
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
To convert km/hr to m/s:
To convert m/s to km/hr:
Important tricks-
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.
Important Tricks
M1 D1 H1 / W1 = M2 D2 H2 / W2
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
Examples:
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!)
Where P= principal, R= rate, T= time
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
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.
Important Points-
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. |
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.
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