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Maths Tricks , shortcut tricks for maths to make calculation easy and fast

To calculate reminder on dividing the number by 27 and 37

Let me explain this rule by taking examplesconsider number 34568276, we have to ca lculate the reminder on diving this number by 27 and 37 respectively.make triplets as written below starting from units place34.........568..........276now sum of all triplets = 34+568+276 = 878divide it by 27 we get reminder as 14

divide it by 37 we get reminder as 27

Example.other examples for the clarification of the rulelet the number is 2387850765triplets are 2...387...850...765sum o f the triplets = 2+387+850+765 = 2004on revising the steps we get2......004sum = 6divide it by 27 we get reminder as 6divide it by 37 we get reminder as 6

Is this maths trick he lpful? Yes (1150) No (423)

To calculate reminder on dividing the number by 7, 11, 13

Let me explain this rule by taking examplesconsider number 34568276, we have to ca lculate the reminder on diving this number by 7, 11, 13 respectively.make triplets as written below starting from units place34.........568..........276now alternate sum = 34+276 = 310 and 568and difference of these sums = 568-310 = 258divide it by 7 we get reminder as 6divide it by 11 we get reminder as 5divide it by 13 we get reminder as 11

Example.other examples:-

consider the number 4523895099854triplet pairs are 4...523...895...099...854alternate sums are 4+895+854=1753 and 523+099=622difference = 1131revise the same tripling process1......131so difference = 131-1 = 130divide it by 7 we get reminder as 4divide it by 11 we get reminder as 9divide it by 13 we get reminder as 0


To calculate reminder on dividing the number by 3

Method:- first calculate the digit sum , then divide it by 3, the reminder in this case will be the required reminder

example:- 1342568let the number is as written aboveits digit sum = 29 = 11 = 2so reminder will be 2

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"what is the rank of MASTER in dictionary "

Example.Take some others34259677858digit sum of the number is 64 = 10 = 1reminder is 1

similarly let the number is 54670329845then digit sum = 53 = 8when we divide 8 by 3 we get reminder as 2 so answer will be 2




example:- 1342568let the number is as written aboveits digit sum = 29 = 11 = 2so reminder will be 2

Example.Take some others34259677858

digit sum of the number is 64 = 10 = 1reminder is 1





example:- 1342568let the number is as written aboveits digit sum = 29 = 11 = 2

so reminder will be 2

Example.Take some others34259677858digit sum of the number is 64 = 10 = 1reminder is 1



Square of numbers near to 100

Let me explain this rule by taking examples96^2 :-First calculate 100-96, it is 4so 96^2 = (96-4)----4^2 = 9216similarly106^2 :-First calculate 106-100, it is 6so 106^2 = (106+6)----6^2 = 11236

Example.An other case arises110^2 = (110+10)----100 = (120+1)----00 = 12100similarly89^2 = (89-11)----121 = (78+1)----21 = 7921


Square of any 2 digit number

Let me explain this trick by taking examples67^2 = [6^2][7^2]+20*6*7 = 3649+840 = 4489similarly25^2 = [2^2][5^2]+20*2*5 = 425+200 = 625Take one more example

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I cracked my first campus TCS in November2011...i convey my heartly thanks to all themembers of m4maths community whodirectly or indirectly helped me to getthrough TCS......special thanks to admin forcreating such a superb community

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2012-09-26 21:33:07

friends i am selected in TCS campus verythanks to the M4MATHS.i totally preparedfrom this website and i cleared all roundssssthankss ...thanks once agian...

kiran

2012-07-11 03:35:29

1!+2!+3!+........+50! is divided by 5! thenthe rema ilnder is------------------? a)3 b)33c)13 d)93...

Albert Einstein

"God does not care about our mathematicaldifficulties; He integrates empirically."

Carl Sandburg

"Arithmetic is where numbers fly like pigeonsin and out of your head."

Francis Bacon

"A man whose mind has gone astray shouldstudy mathematics."

"As far as the laws of mathematics refer to

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Physics Class by Manish Sir

"2^89/89 what will be the remainder?"

" 2^89/89 what will be the remainder......"

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97^2 = [9^2][7^2]+20*9*7 = 8149+1260 = 9409Here [] is not an ope ration, it is only a separation between initial 2 and last 2 digits

Example.Here an extra case arisesConsider the following examples for that91^2 = [9^2][1^2]+20*9*1 = 8101+180 = 8281


Multiplication of 2 two-digit numbers where the first digit of both the numbers are

same and the last digit of the two numbers sum to 10 (You cant use this rule forother numbers)

Let me explain this rule by taking examplesTo calculate 5654:Multiply 5 by 5+1. So, 5*6 = 30. Write down 30.Multiply together the last digits: 6*4 = 24. Write down 24.The product of 56 and 54 is thus 3024.

Example.Understand the rule by 1 more example78*72 = [7*(7+1)][8*2] = 5616


Multiplication of two numbers that differ by 6 (This trick only works if you have

memorized or can quickly calculate the squares of numbers.

If the two numbers differ by 6 then their product is the square of their average minus 9.Let me explain this rule by taking examples10*16 = 13^2 - 9 = 16022*28 = 25^2 - 9 = 616

Example.Understand the rule by 1 more example997*1003 = 1000^2 - 9 = 999991


Multiplication of two numbers that differ by 4 (This trick only works if you havememorized or can quickly calculate the squares of numbers.

If two numbers differ by 4, then their product is the square of the number in the middle (the average of the twonumbers) minus 4.Let me explain this rule by taking examples22*26 = 24^2 - 4 = 57298*102 = 100^2 - 4 = 9996

Example.Understand the rule by 1 more example148*152 = 150^2 - 4 = 22496


Multiplication of two numbers that differ by 2 (This trick only works if you havememorized or can quickly calculate the squares of numbers.

When two numbers differ by 2, their product is always the square of the number in between these numbers minus1.Let me explain this rule by taking examples18*20 = 19^2 - 1 = 361 - 1 = 36025*27 = 26^2 - 1 = 676 - 1 = 675

Example.Understand the rule by 1 more example49*51 = 50^2 - 1 = 2500 - 1 = 2499


Multiplication of 125 with any number (You can't use this rule for other numbers)

Let me explain this rule by taking examples

1. 93*125 = 93000/8 = 11625.2. 137*125 = 137000/8 = 17125.

Example.Understand the rule by 1 more example3786*125 = 3786000/8 = 473250.


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Let me explain this rule by taking examples1. 67*25 = 6700/4 = 1675.2. 298*25 = 29800/4 = 7450.











Multiplication of 999 with any number (You can\'t use this rule for other numbers)

Let me explain this rule by taking examples1. 51*999 = 51*(1000-1) = 51*1000-51 = 51000-51 = 50949.2. 147*999 = 147*(1000-1) = 147000-147 = 146853.

Example.Understand the rule by 1 more example3825*999 = 3825*(1000-1) = 3825000-3825 = 3821175




Example.Example.

Understand the rule by 1 more example2841*99 = 2841*(100-1) = 284100-2841 = 281259




Example.Example.Understand the rule by 1 more example2841*99 = 2841*(100-1) = 284100-2841 = 281259



Let me explain this rule by taking examples1. 18*9 = 18*(10-1) = 18*10-18 = 180-18 = 162.

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2. 187*9 = 187*(10-1) = 1870-187 = 1683.

Example.Example.Understand the rule by 1 more example1864*9 = 1864*(10-1) = 18640-1864 = 16776


Multiplication of 11 with any number. (You can't use this rule for other numbers)


1) 234163*11 = 2---2+3---3+4---4+1---1+6---6+3---3 = 2575793Means insert the sum o f 2 success ive digits and put 2 terminal digits in its place2) 45345181*11 = 4---4+5---5+3---3+4---4+5---5+1---1+8---8+1---1 = 498796991

Example.Here an extra case arisesConsider the following examples for that3) 473927*11 = 4+1--- (4+7-10) +1--- (7+3-10) +1--- (3+9-10) +1--- (9+2-10)--- (2+7) ---7 = 52131974) 584536*11 = 5+1---(5+8-10)+1---(8+4-10)---(4+5)---(5+3)---(3+6)---6 = 6429896


Square of any 2 digit number (You can't use this rule for other numbers)


27^2 = (27+3)*(27-3) + 3^2 = 30*24 + 9 = 720+9 = 729In this method, we have to make a number ending with 0, that's why; we add 3 to 27.

Example.Understand the rule by 1 more example78^2 = (78+2)*(78-2) + 2^2 = 80*76 + 4 = 6080+4 = 6084


Square of a 2 digit number ending with 5 (You can't use this rule for other numbers)

Let me explain this rule by taking examples35^2 = 3*(3+1) ---25 = 1225

Example.

Other example95^2 = 9*(9+1) ---25 = 9025


Multiplication of 11 with any number of 3 digits. (You can't use this rule for othernumbers)

Let me explain this rule by taking examples1. 352*11 = 3---(3+5)---(5+2)---2 = 3872Means insert the sum o f first and second digits, then sum of second and third digits between the two terminal digits ofthe number2. 213*11 = 2---(2+1)---(1+3)---3 = 2343

Example.Here an extra case arises

Consider the following examples for that

1) 329*11 = 3--- (3+2) +1--- (2+9-10) ---9 = 3619Means, if sum of two digits of the number is greater than 10, then add 1 to previous digit and subtract 10 to theassociated digit.2) 758*11 = 7+1---(7+5-10)+1---(5+8-10)---8 = 8338


Multiplication of 11 with any number of 2 digits. (You cant use this rule for othernumbers)

Let me explain this rule by taking examples35*11 = 3---(3+5)---5 = 385Means insert the sum of first and second digits between the two digits of the number27*11 = 2---(2+7)---7 = 297

Example.Here an extra case arisesConsider the following examples for that39*11 = 3+1---(3+9-10)---9 = 429Means, if sum of two digits of the number is greater than 10, then add 1 to first digit and subtract 10 to the insertedterm.78*11 = 7+1---(7+8-10)---8 = 858

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Multiplication of any two numbers, both ranging from 11 to 19. (You cant use thisrule for other numbers)

Let me explain this rule by taking examples13*19 = (13+9)*10 + (3*9) = 220 + 27 = 247Means add first number and last digit of the second number take zero in the third place of this number then addproduct of last digit of the two numbers in it.

Example.18*14 = (18+4)*10 + (8*4) = 220 + 32 = 252


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abhi_siva2003 (signed in using yahoo)

thanks for giving latest information on puzzles.

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Subihangkhim Bantawa Rai Academic Head IT(Information Technology) at Alfa Beta Institute Itahari-Branch, Sunsari

waooo mind blowing.....

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Nisheeth Aloof KLS GOGTE INSTITUTE OF TECHNOLOGY BELGAUM 08

great success!

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Adhikari Gochhay at Utkal University

very nice


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