How to do well in maths - Free guide for RIMC Aspirants by Defence Academy

Defence Academy Coimbatore A leading coaching academy for Sainik, Military and RIMC Schools, NDA, IMA, AFCAT SSB, FSB Interview http://www.ssbcoaching.com call 094437 20076

Do you want to know if your child is having good reasoning and logical skills that can guide him to succeed in competitive exams?

If Yes, then read on.

Logical and reasoning ability is a must for those who want to take up science subjects. In India the children are put through a number of tests like NEET, JEE, GATE, SAT etc. In all these tests the questions will be such that it will ultimately test the child’s Reasoning and Logical power and understanding of the basic concepts.

Here are some of the reactions of the child.

Tell a child to solve the following problem.

And see his reaction.

1.   What is the 998 x 992 = ?

2.   If the number 7 is used for “A” and “B” denotes 9, what will be the value of 2 times “A” and divided by 3 times “B”

3.   Find the 1/3^rd value of the area of a circle whose diameter is 28.( Use the formulae Area= Pie x radius x radius)

Reaction One:  on reading the above questions, it will say I have some work and  say “I WILL DO IT LATER”?

Reaction Two:  If the answer is given in the next page, he or she will try and see the answer.

Reaction Three:  It will say, “These have not been taught to us in the school”

Reaction Four: Try for some time and then ask you how it has to be done.

Reaction Five:  Child will keep on doing it till he completes the questions.

Our Finding: If your child’s reaction is four / five it can be trained. If not please let him try and take up arts stream.

Merely memorizing will not help in solving problems; it has to know the concept

Basic, Application and Skill.

Examples of basic questions based on concept:

1.   What is an odd number?

2.   Is all Prime numbers are ODD?

3.   Which one of the following is not a prime number? 31, 61, 71 and 91

Application based:

1.   What is the product of the lowest and highest one digit odd numbers?

2.   (112x5⁴)=?

Skill Based Question.

3.   If there are a few flowers and few birds. If Even number of birds sit of flowers one flower will not be having any bird on it. If odd number of birds sit on flowers one bird will not find a flower to sit on. What would be the minimum number of birds and flowers that would satisfy this problem?

Let us see the answers to the above questions;

Basic: 1.   Odd Numbers. Any integer that cannot be divided exactly by 2 is an odd number. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers. Odd numbers are in between the even numbers. 2.    No. There is one exception, the number 2, which is the only even prime number  3.   91 is divisible by 7. So, it is not a prime number.

Application Based Questions: Solution: Lowest single digit odd number is    ONE Highest or greatest Single Digit Odd number is NINE The product of these two = 1 x  9 = 9 (Answer) Q.2. ( 112 x 5 x 5 x 5 x 5)  = 112 x (10/2)⁴ = ( 112 x 10⁴) / 2⁴ = 1120000 / 16 = 70,000 In the above question we have to use easier method of solving the problem. This calls for Analytical skill.

Skill based Question If you read the question carefully you will recognize the minimum number of birds and flowers that can solve this. There are two methods to solve this one is simple logic  and  reasoning and the other is use of algebra Let us take case 1. Use of Logic and reasoning: How many flowers do not have birds on it  ie ONE What could be the minimum even number that can sit on a flower TWO As per some if EVEN Number of birds sit on flowers then one flower is without bird. Now use logic what is the lowest even number it is TWO, Let us try these two birds sit on one flower then one flower does not have any bird on it. But again the question says if odd number birds sit on the flower one bird does not have place to sit. Now try reasoning it The number of birds has to be even. Only then the problem can be solved One flower is left without a bird So try two birds on one flower, four birds on two flowers. One flower is left without a bird Then the logic says there must be three flowers. Now odd number of birds sit on the flower and one bird does not have a flower Ie 1bird per flower it means three flowers have one bird each and one bird does not find a flower to sit Now the answer is Birds 4 and Flowers 3. There are 4 lotus flowers and 3 birds. Let the 0s represent the birds. Let the 1s represent the lotus flowers. CASE1:              Each bird sat on each lotus flower, one bird was left alone.                           1      1      1       1                           0      0      0       CASE2:              Two birds sat on each lotus flower, one flower was left alone.                                (1 1)       (1 1)                                   0             0            0 Hence, the answer is 4 birds and 3 lotus flowers

Method Two Algebra Let us consider the number of flowers is x and that the number of birds is y Now as per the question when 1 bird tried to occupy 1 flower each, 1 bird is left behind which means that the number of birds is 1 more than the number of flowers  => y=x+1---------------1 also when 2 birds tried to acquire 1 flower each then 1 flower is left extra => y=2(x-1)-----------------------2 solving 1 and 2 we get, x= 3 and y=4

To do well in maths

One must understand the concept and try and solve at least 25 similar problems before you move on to the next chapter.

Remember you must constantly revise the formulae and keep solving as many problems as possible.

Fear of maths is called:

Dyscalculia, sometimes known as "math dyslexia," affects the ability to make sense of and work with numbers

How do we select candidates for training at Defence Academy Coimbatore

We put the aspirants through number of short tests to find out is ability or potential to be trained.

What are these tests consists of

a)      Numerical ability

b)      Language ability

c)       Reasoning and logical ability

d)      Nonverbal logical and reasoning tests.