Shortcut Competitive Magical Math Tricks, Facts, Concept Formulas of Arithmetics, Mensuration., Geometry and all other Lessons with interesting tutorials.

Sunday, 16 September 2018

How to Calculate Age quickly and easily?

Many people do not know how to calculate age? Some people know Arthemetics very well but they don't know what is the precise formula for age calculation? Some online tools and application you will get for this calculation. The birthday or age formula is very easy. Yet, Some people manage application for single use and waste lots of time. But think, when you are in a competitive exams hall, then what you will do for it? Don’t worry, we are with you. Here, we are presenting the age calculation tricks in easy language. You can calculate age using many methods, but here, we are giving you an amazing method that will be helpful and efficient for your personal works or competitive exams.

Calculate Age shortcuts formula

Simply, we subtract lower value from the higher value. But here we got the age values in three units- these are years, months and days(Even sometimes we got Hour, minute and second also). Year, month and days are the main problems for this procedure. Because the units can be converted by multiplying or dividing by three different values, not like the 1 & 0 methods. But here, Year can be converted to month multiplying by 12 and convert year to days by multiplying 365. The month can be converted into day multiplying by 30. In the age calculation, this is the major problem. But here, we will not convert factors. We will just convert some value according to our need. Before moving to our main formula or method, here we are presenting an example age calculation which will give you the real idea of how to calculate age in a simple way.


In the above calculate age procedure, you can see that we have added 30 days because we cannot subtract 18 days from 12 days, (though we can subtract 18 from 12. but the subtracted value will be negative). So we added 30 days in upper value. To keep the balance we also added 1 month in lower value because 1 month is equal to 30 days. In the same way, we also added 12 months in upper value because we could not subtract 07 months from 04 months, that’s why we added 1 year in lower value. Because 12 months = 1 year. Finally, we got the upper value as the greater value than the lower value in all section. (i.e Day, Month and Year ) Now we can subtract every value and every value will be positive. Also, see that we do all operation one after one from a to d.
Read also,
Hope you have understood very well how to calculate age. Also, we hope you are now able to calculate age easily by Age calculation tricks. Yet, if you have any problem to understand then feel free to ask in the comment box. Don’t forget to share your friends because who knows that some of your them may need this formula for calculation age.  

Shortcuts Boat and Stream formula with Solved Question

The boat and stream formula is very important in point of competitive math. This chapter is depending on Time-speed and distance math. If you have learned the time speed and distance formulas before, then you can adopt Boat and Stream formula quickly. So, here we are discussing the boat and stream formula mainly. Before moving to our main shortcut formulas, I want to inform you that the boats are flowing on the water. And water may have a stream, so boat runs along the streams or the opposite of the steam. This is the primary factor to pay attention while you are solving the problem of the chapter Boat and Stream. The boats are flows in two types.
♦When the boat runs along the streams is called 'Downstream'.
♦ And 'Upstream' calls while the boat swims against the streams. ►Please note that the boats flow on the still water also.

Difference between Time Speed Distance & Boat and Stream

Already, you have learnt the formula for Time speed and Distance while the moving object was moving on roads, railways or on the similar way. Now, you will learn the same method, but the moving thing will swim with the stream or opposite. No difference will be made while boat flow on still water. We hope, you guess easily which kind of questions will be asked in this chapter. Here, some last line examples question are given below from the boats and streams chapter.
♦What was the speed of the boat in still water?
♦What was the speed of the steam?
♦What is the speed rate in Upstream, down steams or in still water?

Conceptual Boat and Stream Formula

The original speed of a boat in still water is A km/hour. When the rate of the stream is B km/hour. If the boat flows on the stream, then find the speed of the boat in downstream and upstream.

A boat runs at the rate of 50 km per hour in downstream. If the rate of steam is 10 km per hour, then find the Speed of the boat in still water?
Quicker solution:

The speed of the boat upstream will:-
(Speed in still water – the rate of stream) = (50-10) Km/hour = 40 km/hour
Speed in Downstream will:-
(Speed in Still water + Rate of Stream)
=50+10 Km/hour = 60 Km/ hour

Shortcuts Boat and Stream formula 2

The speed of a boat U km/hour in upstream and D Km/hours in downstream. What will be the speed in still water? What is the rate of the Streams? 

Boat and Stream Solved Aptitude

Example Aptitude 1):- The upstream of a boat is 40 Km per hour, and the Downstream is 60 Km per hour, Then find the speed of the boat in still water.
Quicker Solution:
Just apply above formula for the speed of the boat in still water (U+D)/2.
Is not it easy Boat and Stream Formula? Comment below if you enjoyed or felling difficulty.
Example Aptitude 2:
The rate of a boat in upstream 60 km per hour and 80 km in Downstream. Then find the speed of the Stream?
In the last aptitude solution, we used shortcut formula to find the rate of the boat in still water. Now we are going to find the speed of the streams. Here we will use the formula (D-U)/2. Because in question declare the rate of the boat in up and downstream. And we have to find the current rate.let's look at below.


Time and Work

  1. Time and Work Basic concept
  2. Time and work solved math
  3. time and work tricky solution
  4. Time-speed and distance 
We hope that you have enjoyed the Boat and stream formula(shortcuts) tutorial. One more tutorial on Boat stream formula has prepared for you.


    Solved Math Question for Competitive math

    This is the second part of solved quantitative problems for competitive exams. We are providing some important quantitative aptitudes to be quicker in math. Let's looks at some previous years of math problems and the easiest solution.

    Previous Years Solved Math Question

    Solved Math Question 1: A boat travels 24 km in upstream in 6 hours and 20 km downstream in 4 hours. Then the speed of the boat in still water and the speed of the current are-

    Solution: We knew the travelled distance of upstream and downstream. We need the speed of upstream and downstream of the boat to execute the answer by shortcut formula.
    Upstream rate =24/6 =4 kmph.
    Downstream =20/4 =5 kmph. 
    Solved Math Question 2: The single discount equivalent discount to two successive discounts of 40% and 10% is-
    Answer:  Look at below math tricks, how solved it quickly. 

    Solved Math Question 3: A single discount equivalent to the consecutive discount of 20%, 20% and 10% is-

    Quick solve: 
    Solved Math Question 4: Average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest number is-
    Solution: here 1st no>2nd no>3rd no. If we assume 1st no as x, then 2nd and 3rd number will be fractional numbers. To avoid that we assume the lowest number (3rd no) as x. let's look at the quick solution. 
    Solved Math Question 5: The average score of a cricketer has 60 in ten innings. How many runs to be scored in the eleventh innings to raise the average score to 65?  
    Solution: The average score of 10 innings is 60, means the batsman scored (60*10) =600 runs. As it will be (65*11) =715 after eleventh innings. So the batsman must be the score in eleventh innings (715-60) =115 runs.
    Solved Math Question 6: In an election, 80% of the voter has voted and three candidates contested. The first candidate got 30% votes and second got 46% votes. If the total number of registered voter were 50,000, then find the number of votes got by the 3rd candidate. 
    Solution: Look at the question 

    Saturday, 15 September 2018

    LCM and HCF Formula for Competitive Math

    LCM and HCF is a very important chapter for all competitive exams. Take any question paper of any competitive exam where Arithmetic is enlisted as a part of Syllabus and see that every competitive examination asked few questions from this chapter. So we should give same effort as we had given in other Arithmetic chapters like Time and Works, Mixture and Allegation, Ratio and Proportion etc. Here we will discuss LCM and H.C.F chapter for the shortcut math tricks. Remember that L.C.M and H.C.F also help you to solve other math problem in the tricky method. In this point of view, LCM and HCF is very important for Arithmetic as well competitive examination.

    Basic Concept and full form of L.C.M and H.C.F

    Now, we are going to discuss the basic concept of this tutorial, we should know  HCF stands for Highest Common Factor. And L.C.M is Least Common Multiple of entire numbers.

    What is the LCM of 16 and 24? 

    A)24 B)48 C)60
    16= 2x2x2x2
    Here common numbers are 2x2x2 and uncommon is 2x3. So the lowest common product is 2x2x2x2x3= 48
    So the answer is B. The 48 is the lowest common product of 16 and 24.
    What is H.C.F? HCF stands for Highest Common Factor. H.C.F is the highest common factor of two or more numbers which can divide by all numbers without any reminder. See the example for the better understanding.
    What is the L.C.M of 16 and 24? A)8 B)48 C)16
    16= 2x2x2x2
    Here common numbers are 2x2x2 and uncommon is 3x3. So the HCF is 2x2x2=8
    So the answer is option A. The 8 is the common divisor of 16 and 24 without any remainder.
    I hope you got the clear concept of this math topic.

    LCM and HCF shortcut formula and solved Question

    Trick 1:
    L.C.M*H.C.F= Multiplication of two numbers.
    Trick 2: When the highest number is divided A, B and C and every time become remainder X, then the Highest number will be

    Tricks 3: Which is the highest number while dividing by A, B and C, and getting the same remainder every time?
    Every time will the same remainder when you divide A, B, and C by
    Trick 4: When you dividing A, B and C by a number and getting the reminder x, y and z respectively. Find out by which number are you dividing?
    Solved aptitude by math tricks
    Aptitude 1: The L.C.M of two numbers is 520 and the HCF 4. If the first one is 52, then the second one will - A) 40 B) 42 C) 50 D) 52
    We know that L.C.M*H.C.F= Multiplication of two numbers.
    Here the first number is 52. Let be the second number is x
    Therefore 52 x =4 * 520


    So the answer is 40.
    Aptitude 2:
    Every time will be the same reminder while you dividing 650, 775 and 1250. now find out the number?
    A) 15 B) 25 C) 20 D) 30
    We know- Every time will be the same remainder when we divide A, B and C by:-
    HCF of (A-B) and (B-C)
    (1250-775), (775-650)
    175, 125.
    The H.C.F of 175 and 125 is 25. So the answer is option B.

    Boat and Stream Formula and Tricky Solution

    Separately, we have created many pages on the Arithmetics chapter Time Speed and Distance for clear understanding and performance well in competitive exams. Boats and Streams is one of the important sub-topic of Time speed and distance. We have already discussed the core concept and shortcuts formula on this topic in Boat and Streams shortcuts formula part-1. Now we are going to solve some aptitude question of Boats and Streams by using math tricks to save time and score well in our upcoming competitive exam. So, look at below, some essential aptitude question which followed by the question level of the competitive math section. Especially all the questions are selected from the Boats and Speeds chapter.

    Boat and Stream formula & solved math

    Aptitude question1A swimmer takes 40 minutes to reach 4 km distance in downstream and 60 minutes to 5 km in upstream. Then, find the rate of the stream and the speed of the swimmer in the still water.
    Easy math solution: The shortcut formula for the Rate of the stream is (D-U)/ 2, where U is upstream rate and the D is the rates of downstream. Look at the image for easy math solution.

     Don't be hopeless to see the Boat and Stream Formula and Solution. You can jump several steps by practice some questions. To get a clear concept, we provide all the steps in the solution. Please note that we used the formula to find stream rate as (D-U)/2. Where D is the downstream speed of the swimmer and U is the upstream rate.

    Boat and Stream Formula & Question Solution 2
    ►A ship travelled 80 km in 4 hours in downstream and came back in 8 hours in upstream. Now find the speed of the stream.
    Solution: The shortcut formula for the rate of the stream is (D-U)/2. Here (D-U)/2 means half of the difference between downstream and upstream rate. To apply this formula we have to find out the upstream and Downstream rate. Look at below how we quickly solve this aptitude problem.

    Boat and stream Math problem & solution  

    Not it easy friends?  Look at below for another aptitude question and solution by using math tricks.

    Boat and Stream Formula and Question 3 
    A man started swimming from Kalighat to another Ghat at the speed of 4 km/h in downstream. He has taken 3 hours to reach while the rate of the stream was 2km/h. If he comeback Kalighat then how long time will he take?
    Easy solution: The question is looks like a big problem. But it can be solved without any pen or paper. To solve this issue firstly, we have to find the total distance. The man is taking three hours to reach his destination. And the speed of the man in downstream is (4+2) =6. So the man can cover 18km in 3 hours. Now we have to calculate the upstream rate of the person, and it is (4-2)=2km/hour. So the man can come back Kalighat to upstream in (18/2)= 9hour.
    Time Speed and Distance Math
    How you are feeling to knew these Boat and Stream Formula? The comment box is open for you and you can share your thought about this Boat and Stream Formula. As you know that the Time Speed and Distance is also correlated to this Boat and Stream topic and we have also prepared tutorials for you. You may read this these chapter according to your need. We have made this in two sequences. First one prepared with the concept and shortcuts formula and the second one prepared for some solved question on Time Speed and Distance. The links are given below.

    Thursday, 24 May 2018

    Cube and Cuboid mensuration formulas of volume, area, surface

    We are covering all mensuration topics and tricks. Today, we are going to discuss the properties, shortcuts formula, aptitude question and tricky solution of cube and cuboid mensuration chapter. The tutorial has made from basic level to exam level for your confidence and performance well in the upcoming competitive exam. Before discussing the shortcut formula, we should have the basic concept of cube and Cuboid. So, look at below some basic properties and mensuration formulas of Cube and Cuboid.

    Cube and Cuboid properties and formulas

    Cube and cuboid are made with height, length and base and six sides (face). And the shape of a cube or cuboid is 3 dimensional. We have covered triangle, circle and quadrilateral which are 2-dimensional shapes.

    Look at the below image which are a cube and cuboid forms.


    As you have looked the above image where we can see six faces(side). Also, it has vertices. The vertices are the longest line of a cube and cuboid. in competitive math, generally ask volume, area and vertices length. Now we are moving to mensuration formulas for Cube and Cuboid.

    Cube mensuration formulas

    A cube has 12 equal edges and six faces. As all edges are equal so height, width and base are equal. Therefore, the area of each face also equal. If we have to find the total surface area, we will add areas of all (six) faces. And each face can be calculated as edge^2. So, the shortcut formula for the total surface area of cube became (6 X area of one face) or (6*Edge^2). When we have to calculate the lateral surface area of a cube then we multiply by 4 with the area of one face. Getting confusion with this math tricks? Look at below image to be clear the shortcut formula.

    Lateral and Total Surface Area formula of Cube and Cuboid

    And the volume of a cube is edge^3 Square unit.

    Volume and area formula of cuboid mensuration

    Every cube is cuboid but all cuboids are not cubes.  So differently, you should know shortcuts volume and area formula of the cuboid. The difference between cube and cuboid is on edges length. The different length (maximum three variants) may be in cuboid where equal in a cube. So length, base and height may be different. That's why in the formula of the cuboid, becomes different from the cube. 
    Cuboid-total-lateral-surface-area-volume-math-tricks-total-surface-lateral surface
    So, friend, these are the basic shortcut formulas for the cube and cuboid to calculate volume, area, total surface and lateral surface area of cube and cuboid. In the next tutorial, we will practice some mensuration problems related to the cube and cuboid. Thanks for reading and learning to day's tutorial on cube and cuboid.

    Read more Arithmetics Chapter
    Boats and Stream


    Saturday, 10 March 2018

    Circle Mensuration problems with circumference Area formula

    We have already covered mensuration formulas related to the circle. Especially, we discussed properties, circumference and area formula of the circle. Today, we are going to solve some problems from this chapter. This is the third tutorial on circle mensuration. Look at below few questions and easy solution with the shortcut formulas.

    Circle Mensuration Solved Math by Shortcuts Formula

    ►Question 1: A circle which has by 14m long radius. Now, find the area and circumference of the circle.
    Solution: This is the simple question from the circle mensuration. Directly, we can apply the circumference formula of the circle. look at below for the easy solution.

    We know the circumference of a circle is  2 π r. Where π=22/7 and r is half of the diameter. So, simply apply the formula to find the correct answer.
    2π r= 2* (22/7)*14 =88m.
    ►Area of the Circle: The area formula of a circle is π r^2 when we know the length of the radius. Therefore the Ara of the Circle will be (22/7)*14*14 Sq.m
    =28*22 Sq.m  =616 Sqm.
    ►Question 2: The circumference of a circular park is 440m. Now find the area of the park?
    ►Easy solution: We knew in the circle mensuration formulas that the area can be calculated directly when the circumference is known. Look at below image for the shortcut formula and solution of this mensuration problem.

    ►Question 3: A circle has made by a rope. And it's radius was 28m long. If you made a square with that rope, how long will be an arm of the square?
    Solution: We have to calculate the area of the circle at first. Then, we can calculate the length of the square. Look at below for the solution.
    Question 4: A Cricket playground has made by 63 m radius. If the radius increased by 7m, then find the deference area of the circle?
    ►Solution: you can solve this mensuration problem by calculating two times area of two circles. But you can answer this question by a single operation. But the question is how it's possible? Look at below for the shortcut mensuration formula for this type of question.
    Is not it easy mensuration friends? Keep visiting New Math Tricks for more question and aptitude formulas. You may check all Arithmetics math tricks or some solved math problems.


    Friday, 2 March 2018

    Triangle Mensuration Question Answer with Perimeter Area Formula

    We learnt triangle mensuration formulas previously. Today, we are going to solve a few more question answer by perimeter and area formula. If you had not read previous triangle shortcut formulas yet, then visit that by clicking below link. Because we have already discussed the following topics before today's tutorials.
    Classification of Triangles
    Triangle mensuration formulas

    Triangle Mensuration perimeter Area formula

    Look at below for important triangle mensuration question and answer.
    Question1: What is the area of a 20 cm equilateral triangle?
    Solution: You know that an equilateral triangle is called which all arms are equal. Look at below image for area calculating shortcut formula and the solution of this type of question.
    Question 2: A triangle in which arms lengths are 20m, 30m and 40 m respectively. Now find the area of that triangles.
    Answer: Here, the triangle is the isolateral triangle and we knew all arm lengths. Simply we will sue the hero formula to find the area. Look at below, how we solved the mensuration problems?
    We hope, you got the easy solution of the triangle mensuration problem. Here, we have applied the Heron formula. You are seeing the S which value is half of the perimeter of the triangle.
    Now look for the next triangle mensuration question and answer.
    Question 3: A right angular triangle whose hypotenuse and the base are 6m and 4m respectively. Now find the area of the triangle?
    Explanation:  we know the area formula of a triangle is (1/2)*base*height. But in this question height is unknown, though we know the hypotenuse and base. So we need to find the height of the triangle. As you have seen in the tutorial of triangle mensuration formula that the Pythagorean theorem can be used to find the height. So, we used it to find and applied to solve the mensuration. And finally used the formula (1/2)*base*height.
    We will post more triangle mensuration question and answer with the mensuration formulas. Now, you may visit chapters-wise arithmetics math tricks or more mensuration formulas from here. 

    Math Tricks of Mensuration Formulas, Triangle, Cube, Cuboid, Quadrilateral, Circle, Partnership, Pipe and cistern, Problem on Train and ages, Profit and Loss, simple-Compound interest, Simplification Solved Quantitative Aptitude, Time Speed, Distance, Time and work Age calculation, Average, Boat and Stream, Division rules LCM and HCF Shortcut Formulas.
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