math tricks

Divide number by 15 Shortcut

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Dividing can be a time-consuming task. However, if you know how to divide number by 15 shortcut, you bet, you can do it in seconds. Without much adeau, let us see the steps on how it can be done.

Below are the steps
Step 1: Move the decimal point one place to the left of the number.
Step 2: Now, double the number
Step 3: Divide the result obtained in step 2 by 3 to get your answer.

Examples of how to divide number by 15

Example 1: Divide 221 by 15
Step 1: Moving the decimal point to the left of the number we get 22.1
Step 2: Doubling
we get, 22.1 x 2=44.2
Step 3: Dividing the result obtained in step 2 by 3
we get, 44.2/3= 14.73

Ans Thus, 221/15= 14.73

Example 2: Divide 256 by 15
Step 1: Moving the decimal point to the left of the number we get 25.6
Step 2: Doubling
we get, 25.6 x 2= 51.2
Step 3: Dividing the result obtained in step 2 by 3
we get, 51.2/3= 17.06

Ans Thus, 256/15= 17.06

Example 3: Divide 14 by 15
Step 1: Moving the decimal point to the left of the number we get 1.4
Step 2: Doubling
we get, 1.4 x 2= 2.8
Step 3: Dividing the result obtained in step 2 by 3
we get, 2.8/3= 0.93

Ans Thus, 14/15= 0.93

Example 4: Divide 22 by 15
Step 1: Moving the decimal point to the left of the number we get 2.2
Step 2: Doubling
we get, 2.2 x 2= 4.4
Step 3: Dividing the result obtained in step 2 by 3
we get, 4.4/3= 1.46

Ans Thus, 22/15= 1.46

Example 5: Divide 1024 by 15
Step 1: Moving the decimal point to the left of the number we get 102.4
Step 2: Doubling
we get, 102.4 x 2= 204.8
Step 3: Dividing the result obtained in step 2 by 3
we get, 204.8/3= 68.26

Ans Thus, 1024/15= 68.26

Problems On Ages Shortcuts

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Problems on Ages is one of the questions asked in every Bank Exam. When you know that this is a sure question, why not prepare yourself well to stand up to the competition. Equip yourself with this Problems on Ages shortcuts and you can solve problems on ages like a PRO. And if you know divisibility tricks, its cake walk for you. You can use both tricks to solve the problem quickly with accuracy.

Let me walk you through few examples to get an understanding of the shortcut.

Problems on Ages Examples

Example 1:
Present ages of S and A are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is A’s present age in years?
A)40 years
B)43 years
C)24 years
D)27 years
E)None of the above

Step 1:Write down the condition 1 given in question as follows
Present ages of S & A= 5:4

And we need to find A’s present age.

Step 2: Observe the options given in answer and find out which option is exactly divisible by 4.
We see that,

option A) 40/4=10 Exactly divisible by 4 so this could be the answer.
option B) 43/4 Not exactly divisible by 4
option C) 24/4=6 Exactly divisible by 4 so this could be the answer.
option D) 27/4 Not exactly divisible by 4.

So we have 2 options A and C exactly divisible by 4.

Step 3: Since we have 2 options satisfying condition 1. We need to check the options for condition 2 to see which among them is the answer.


Step 4: Condition 2 is Three years hence, the ratio is 11:9 is given.
First, we shall add 3 years to each of the options to get the age after 3 years(3 years hence)and divide each of the options by 9(A’s part)
We see that,

Option A) 40+3=43 years 43/9= Not exactly divisible by 9.
Option B) 43+3=46 years 46/9= Not exactly divisible by 9.
Option C) 24+3=27 years 27/9= Exactly divisible by 9.
Option B) 27+3=30 years 30/9= Not exactly divisible by 9.

We see that only option C satisfies condition 2.

Therefore, we can say that option C is the correct answer as it satisfies both condition 1 and condition 2.

A’s present age is 24 years.

Example 2:
Six years ago, the ratio of the ages of K and S was 6:5. Four years hence, the ratio of their ages will be 11:10. What is S’s age at present?
A)18 years
B)16 years
C)20 years
D)25 years
E)None of the above

Step 1:  Condition1 given in the question is 6 years ago, the ratio was 6:5 is given
First, we shall subtract 6 years from each of the options to get the age before 6 years(6 years ago)and divide each of the options by 5(S’s part)
We see that,

Option A) 18-6=12 years 12/5 Not exactly divisible by 5.
Option B) 16-6=10 years 10/5=5 Exactly divisible by 5.
Option C) 20-6=14 years 14/5 Not exactly divisible by 5.
Option D) 25-6=19 years 19/5 Not exactly divisible by 5.

We see that only option B satisfies condition 1.


Thus, we can say that option C is the correct answer as it is the only option which satisfies the condition1.
We do not have 2 options satisfying condition1, so no need to check if the options satisfy condition 2. We can stop here and save a few seconds here.

S’s present age is 16 years.

Square Root Shortcut Nonperfect Squares

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Square-Root-Shortcut-Nonperfect-Squares

In the previous trick, we learned how to find the square root of any number which is a perfect square. Now, using this square root shortcut, you can easily find the square root of a nonperfect square. For instance, lets say you want to find √26. Guess what, you can find the square root of this nonperfect square in seconds. Here is how you can do it.

Square Root Shortcut for Nonperfect squares steps

Step1: Find the nearest square less than or greater than a perfect square and find its square root.
Step 2: Now, find the difference between the nearest square and the given number.
Step 3: Multiply the result obtained in step 1 by 2
Step 4: Divide the result obtained in step 2 by the result obtained in step 3.
Step 5: Combine the results of step 1 and step 4 to arrive at your answer.

Remember the below squares
12=1
22=4
32=9
42=16
52=25
62=36
72=49
82=64
92=81
102=100
112=121
122=144
132=169
142=196
152=225
162=256
172=289
182=324
192=361
202=400

Let us now see a few examples to understand better

Examples

Example 1: Find √26

Step 1: Finding the nearest square to number 26. We find that 25 is the nearest square to 26. √25 =5

Step 2: Finding the difference between the nearest square and the given number. Here, 26-25= 1. Difference= 1

Step 3: Multiplying the result obtained in step 1 by 2.

We get, 5 X 2=10

Step 4: Dividing the result obtained in step 2 by result obtained in step 3.

We get, 1/10=0.10

Step 5: Combining the results of step 1 and step 4.

We get, 5 + 0.10= 5.10

Ans √26 = 5.10

Example 1: Find √38

Step 1: Finding the nearest square to number 38. We find that 36 is the nearest square to 38. √36 =6

Step 2: Finding the difference between the nearest square and the given number. Here, 38-36= 2. Difference= 2

Step 3: Multiplying the result obtained in step 1 by 2.

We get, 6 X 2=12

Step 4: Dividing the result obtained in step 2 by result obtained in step 3.

We get, 2/12=0.16

Step 5: Combining the results of step 1 and step 4.

We get, 6 + 0.16= 6.16

Ans √38 = 6.16

Also see Shortcut to find the square root of any perfect square

Math Tricks for Bank Exams

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math tricks for bank exams

You can get an edge over others in calculating at lightning speed. We can say “Speed Trills and Speed Scores”holds true for any competitive exam.You are racing against time to answer as many questions as possible in the least time. So here is a list of multiplication tricks, Tricks to find Cube roots and square roots, Squaring tricks, Cubing tricks, division tricks, verification tricks, percentage tricks, Subtraction tricks and Data Interpretation tricks that you can use to ace in bank exams. I have listed all the tricks that can be used as per scenario. However, if you learn even a handful of these tricks you will be ahead in the competition.

Let us now quickly jump into the tricks.

Math Tricks – Multiplication tricks

(1) Shortcut to multiply any 2digit by 2digit

This is a basic multiplication trick that you can use to multiply any 2 digit numbers from 10 to 99. It will take just 5 secs to multiply using this trick.
Learn the trick here Shortcut to multiply any 2digit by 2digit

(2)Shortcut to multiply any 2 digit number by 125

When you know that the given number is exactly divisible by 8, this is trick you should use to mentally multiply the number by 125. Learn the trick here Shortcut to multiply any 2 digit number by 125

(3)Shortcut to multiply any 2 digit number by 15

If the given number is easily divisible by 2, use this trick to multiply by 15 in less than 2 secs. Learn the trick here Shortcut to multiply any 2 digit number by 15

(4)Shortcut to multiply any 2 digit number by 11

Usually, a number will be given in the exam that is to be multiplied by 11 and the problem is not resolved here. It is just 1 part of the complex math problem given. In such problems, you can use this trick to save lot of time. It hardly takes 1 sec to get answer using this trick. Learn the trick here Shortcut to multiply any 2 digit number by 11

(5)Shortcut to multiply any 2 digit number by 111

If you have learnt the shortcut to multiply a 2 digit number by 11, then this trick is cakewalk for you. There is just a slight modification to the initial trick. Saving a second here and there gives you more time to solve more questions. Learn the trick here Shortcut to multiply any 2 digit number by 111

(6)Shortcut to multiply any number from 10-19 by 5

This trick works on the method of assuming convenient base closest to the number between 10 to 19. Assuming the correct base will make your calculation easier. Learn the trick here Shortcut to multiply any number from 10-19 by 5

(7)Shortcut to multiply any number from 20-29 by 5

If you learnt shortcut to multiply a number from 10 to 19 by 5, then this trick is simple. Only the number assumed as base will change. Learn the trick here Shortcut to multiply any number from 20-29 by 5

(8)Shortcut to multiply any number from 30-39 by 5

If you learnt shortcut to multiply a number from 20 to 29 by 5, then this trick is easy. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 30-39 by 5

(9)Shortcut to multiply any number from 40-49 by 5

If you learnt shortcut to multiply a number from 30 to 39 by 5, then this trick is simple to apply to solve your math problems . Only the number assumed as base will change. Learn here Shortcut to multiply any number from 40-49 by 5

(10)Shortcut to multiply any number from 50-59 by 5

If you learnt shortcut to multiply a number from 40 to 49 by 5, then this trick is quite simple. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 50-59 by 5

(11)Shortcut to multiply any number from 60-69 by 5

If you learnt shortcut to multiply a number from 50 to 59 by 5, then this trick is simple. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 60-69 by 5

(12)Shortcut to multiply any number from 70-79 by 5

If you learnt shortcut to multiply a number from 60 to 69 by 5, then this trick is easy to learn. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 70-79 by 5

(13)Shortcut to multiply any number from 80-89 by 5

If you learnt shortcut to multiply a number from 70 to 79 by 5, then this trick is simple. Only the number assumed as base will change. Learn here Shortcut to multiply any number from 80-89 by 5

(14)Multiply any 2 digit number with same ten’s place

When the ten’s place digit is same and the unit’s place digits add up to 10 then you can apply a shortcut trick to easily multiply any 2 digit numbers. Knowing where to apply this trick can make the difference. Learn here Multiply any 2 digit number with same ten’s place

(15)Shortcut to multiply 2 numbers whose difference is 2

This trick is especially effective to use when you know the square of the number in between the 2 numbers. Learn here Shortcut to multiply 2 numbers whose difference is 2

(16)How to multiply any two 3 digit number close to 100

This trick can be applied when the 2 given numbers are closer to 100. You can multiply mentally in seconds. How amazing is that? Learn here How to multiply any two 3 digit number close to 100

(17)Vedic math trick to multiply any 3 digit by 3 digit

This is a basic 3 digit multiplication trick. You can multiply any 3 digit number by a 3 digit number in seconds by using this trick rather than using the traditional multiplication method. This is very helpful trick for a person writing any of the competitive exams. Learn here Vedic math trick to multiply any 3 digit by 3 digit

(18)Shortcut to multiply any 3 digit number by 111

If you learnt the shortcut to multiply 2 digit number by 111. Then, there is just 1 more step added to it. And now use this trick to mentally multiply any 3 digit number by 111 in seconds. Learn here Shortcut to multiply any 3 digit number by 111

(19)Shortcut to multiply any number from 10-19 by 6

Learn here Shortcut to multiply any number from 10-19 by 6

Math Tricks – Cube roots and Square roots

(1)Shortcut find cube root of any 5 or 6 digit number

Finding cube root of any number has never been easier. You can now mentally find the cube root of any 4 digit number or 5 digit number or 6 digit number in seconds. Time saved is time earned. You can save a lot of time using this trick. Learn here Shortcut find cube root of any 5 or 6 digit number

(2)Shortcut to find square root of a number

You can ace in your bank exams if you know this trick.You can find the square root of any 4 digit number or 5 digit number or 6 digit number mentally in seconds. What more can you ask for. Check out some of the examples to perfect your skill. Learn here Shortcut to find square root of a number

Math Tricks – Squaring tricks

(1)Squaring a number ending with 5 in secs

Is it possible to square a number ending a number in less than a second. Yes, you can mentally find the square in less than 1 second if you know this trick. Learn here Squaring a number ending with 5 in secs

(2)Shortcut to square any number from 10-19

Square any number from 10 to 19 in seconds using this trick. Its a simple trick that you can use to mentally find the square. Learn here Shortcut to square any number from 10-19

(3)Shortcut to square any number from 20-29

This trick is similiar to the trick you learnt on “Square any number from 10 to 19”. Just a little variation and you can a square a number from 20-29 mentally in seconds. Learn here Shortcut to square any number from 20-29

(4)Shortcut to square any number from 30-79

This trick is similiar to the trick you learnt on “Square any number from 20 to 29”. Just a little variation and you can a square a number from 30-79 mentally in seconds. Learn here Shortcut to square any number from 30-79

(5)Shortcut to square any number from 90 to 99

This trick is similiar to the trick you learnt on “Square any number from 30 to 79”. Just a little variation and you can a square a number from 90-99 mentally in seconds. Learn here Shortcut to square any number from 90 to 99

(6)Shortcut to square any number from 100-120

This trick works by assuming a base method. Whenever you see a number close to 100, it must strike to you to use this trick to mentally find the square. Learn here Shortcut to square any number from 100-120

Division tricks

(1)Shortcut to divide any 2 digit number by 5

Here in this trick we will not be dividing the number. Instead we will be doubling the number.Wondering how we can arrive at the answer without dividing. Learn here Shortcut to divide any 2 digit number by 5

(2)Shortcut to divide any 2 digit number by 9

This trick is similiar to the trick used to multiply a 2 digit number by 11. There is just a slight variation to the trick. You can mentally divide any number by 9 in seconds. Learn here Shortcut to divide any 2 digit number by 9

Verification tricks

(1)How to verify if a number is a perfect cube

Learn how to verify if a number is perfect cube using Prime Factorization Method. It is the method to use to find out if a given number is a perfect cube or not if you want accurate results. Learn here How to verify if a number is a perfect cube

(2)How to verify if a number is a perfect square?

Using the prime factorization method we can find out if a given number is a perfect square or not. Learn here How to verify if a number is a perfect square?

(3) Vedic math trick to check multiplication

This is trick you can use to check if you have multiplied the numbers accurately. Learn here Vedic math trick to check multiplication

Percentage tricks

(1)Shortcut to find percentage of a number

This is one of the coolest trick which makes math fun. Understand the basic concept of percentages, practice and apply to problems in bank exams. You will love the way you arrive at the answer in seconds mentally. Learn here Shortcut to find percentage of a number

(2)How to convert fraction into percentage

If you already learnt the trick to find percentage of a number, this trick is an extension of the same.Go through the steps and you can mentally convert a fraction to percentage. Learn here How to convert fraction into percentage

Cubing tricks

(1)Shortcut to cube any number from 1 to 100

Remember the algebraic formula you learnt in school. We are going to manipulate the formula and use it to mentally find the cube of a number in seconds. Learn here Shortcut to cube any number from 1 to 100

Other Tricks

(1)Finding complement of a number

This is a simple trick using base method to find the complement of numbers from 1 to 1000. Knowing this trick will help you in subtracting any 2 numbers in seconds. Learn here Finding complement of a number

(2)Shortcut to subtract any 5 or 6 digit number in seconds

If you learnt the trick to find compliment of a number, then you can use that to subtract any 5 or 6 digit number in seconds mentally using this trick. Learn here Shortcut to subtract any 5 or 6 digit number in seconds

Data Interpretation Tricks

(1)Quantitative aptitude for clerical and bank po

In data Interpretation problems, finding average of a product sold in 3 years is a typical question in bank exam. To ace in this, use this trick to find the average number. Learn here Quantitative aptitude for clerical and bank po

(2)Data analysis questions and answers for bank po

Another typical data interpretation question asked in the Bank exams is “In which of the years was the percentage increase in production of company A was minimum from the previous year?”. Such questions can be easily solved using this amazing trick. Learn here Data analysis questions and answers for bank po

(3)Data interpretation trick for bar chart diagrams

Data analysis and interpretation problems are given to test how keenly you can observe things. You can solve a typical question such as “In which year the percentage increase or decrease in the production of company B to that of company A was maximum” in seconds using this trick. Learn here Data interpretation trick for bar chart diagrams

(4)Data interpretation trick to find percentage increase

You can solve another typical data interpretation question such as “percentage increase in the sale of a product in 1 year compared to the other year” in seconds. Learn here Data interpretation trick to find percentage increase

(5)Data interpretation trick for bank PO and clerical exams

You can solve another typical data interpretation question “In which year the percentage increase in the production of a company A to that of company B was minimum?” in seconds. Learn here Data interpretation trick for bank PO and clerical exams

Shortcut to Multiply Any Number from 10-19 by 6

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Shortcut to Multiply any number from 10 to 19 by 6

Today we shall see a new trick to multiply any number from 10-19  by 6 in seconds

Let us see the steps

Step 1:Assume 10 as base
 
Step 2:Multiply the base by 6
 
Step 3:Multiply the unit place digit by 6
 
Step 4:Add the results obtained in step 2 and step 3 to get your answer
 
 
 
Now, Let us consider an example to understand better
Example 1:14 x 6=?
Step 1: Assuming base as 10
 
Step 2:Multiplying the base by 10 
          We get, 10 x 6= 60
 
Step 3:Multiplying the unit place digit by 6 
          We get, 4 x 6=24
 
Step 4:Adding results of step 2 and step 3
           We get, 60 + 24 = 84
 

Ans 14 x 6 = 84

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