Ratio and proportion(অনুপাত-সমানুপাত) in Mathematics for competitive examination/SSC CGL BankRail Food supply SI

Ratio:-
A relation between two quantities of similar type which shows that one quantity is how much times the other quantity,is known as ratio. Ratio is denoted by colon(:) .

Simplest form of ratio:-
If there is no common factor between the prior and post terms of a ratio, then the ratio is in its simplest form.

 Example.  24:22=12:11
If each term of ratio is multiplied or divided by a non zero number,then the ratio remains unaltered.

Types of ratio
1. Compound ratio
2. Duplicate ratio
3. Sub duplicate ratio
4. Triplicate ratio
5. Sub triplicate ratio
6. Inverse ratio or Reciprocal ratio
Proportion:-
Proportion is the equality of two ratios . As a:b =c:d , we write a:b::c:d and we say that a,b,c and d are in proportion. Here
a×d=b×c.

Short tricks:-

1. If A:B=a:b and B:C=m:n then A:B:C=am:mb:nb


2. If A:B=a:b and B:C=m:n and C:D=r:s then A:B:C:D= amr:bmr:bnr:bns

3. If X is distributed in the ratio a:b:c then 
First part =aX/(a+b+c)
Second part =bX/(a+b+c)
Third part =cX/(a+b+c)

Now some questions here for competitive exam

Q 1. If a quantity is devided in the ratio 3:5 ,the larger part is 75. Find the quantity.


Answer:-

Large quantity=5x
 small =3x
As per question,
5x=75
:. x=15
Quantity=3x+5x
                =8x
                 =8×15=120

Q 2. Marks of two candidates P and Q are in the ratio 2:5 . If the marks of P are 120, marks of Q are...... ?

Answer:-

Let the marks of P and Q be 2x and 5x.
According to question ,
 2x =120
or, ,x =60.

Therefore, marks of Q =5x =5×60= 300.


   For more questions please visit my blog and youtube channel..

Math Academy.

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Number System in math for Competitive examination Part 1 Specially SSC CGL Bank Rail TET exam

Here is some questions and answers on Simplification

Q.1 The Sum of all those prime nos which are not greater than 17 is ....a)59 b)58 c) 41 d) 42


Ans. Prime no till 17 are 2,3,5,7,11,13,17
Required sum =2+3+5+7+11+13+17=58

Q.2 The sum of a natural no and its square equals the product of the first three prime nos. What is the number?


Ans. Let the required no be x
According to the question
x^2+x=2×3×5
or x^2+x-30=0
or (x-5)(x-6)=0
Therefore x=5


Q.3 Out of six consecutive natural numbers ,if the Sum of first three is 27, what is the sum of other three?


Ans. Let the three consecutive natural numbers be x,x+1,x+2
According to the question ,
x+x+1+x+2=27
or 3x+3=27
or x=8

First three consecutive nos 8, 9, 10

Therefore sum of next 3 consecutive nos
=11+12+13
=36

Simplification short tricks/Solve in Just 5 seconds

Simplification is the most important and most coming math problem in any competitive exam. In tet West Bengal and CTET exam one or two math question in this type is important.In SSC cgl examination two or three question is important this type.
Watch the video and solve for self experience..
Math simplificationSimplification tricks
https://youtu.be/50PzdQAP6d4
Solve this type problem in just 5 seconds
1.1/(1+√2) +1/(√2+√3)+..........
2. 1/2+1/6+1/12+1/20+.......

No System sym

CTET 2018 Mathematics answer key

CTET 2018 Mathematics answer key

1.
CTET 2018 math এর প্রস্ন গুলোর content part এর সব উত্তর করা আছে ।
Video টি দেখতে click করুন
CTET 2018 answer key
https://youtu.be/YvZXu0_AWuA

All content part with full discussion i describe in easy way. If any queries please comment in comment box. One answer tick as wrong this answer is 52 insteed of 52.please follow this.
Questions of this year specially math question was too easy. So this year may have very tough competition. I think who scored 40 and above he/she may be qualified.
Best of luck my dear students. Thank you.

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শুধু মেশিন কিনে শুরু করুন দেখবেন ভাগ‍্য পাল্টে যাবে।
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Full blog linkmath for Competitive exam

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