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11 Oct 2013, 22:13
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Hey guys!
GMAT tests your knowledge as much as it does your ability to manage time. So, I hope this post helps you save a precious few seconds in trying to conquer the GMAT Quant section.
I believe that just by knowing how to multiply and divide by 2 (repeatedly), you can very QUICKLY handle the bigger numbers. Allow me to explain.
Multiplying by 5
say a number - 108
Now 108*5 can be written as (108/2)*10 = 54*10 = 540
338*5 = 169*10= 1690
Dividing by 5
Say a number - 162
162/5 = 162*2/10 = 324/10 = 32.4
412/5 = 824/10 = 82.4
Dividing by powers of 2, i.e 2,4,8,16,32 etc
Isnt it amazing that just by mastering dividing abd multiplying by 2 (which isnt difficult if you practice it a few times), you can do the same with much bigger numbers?
4 = 2^2 So you divide by 2, twice....say 38/4= 19/2 = 9.5
8 = 2^3 So you divide by 2, thrice....say 148/8 = 74/4 = 37/2 = 18.5
16 = 2^4, so you divide by 2, four times...548/16 = 274/8=137/4=68.5/2=34.25
the list goes on
Multiplying by powers of 2, i.e 2,4,8,16,32 etc
same goes with multiplication
4...multiply by 2 twice - 78*4= 156*2 = 312
8..112*8 = 224*4= 448*2= 896
16 = 130*16 = 260*8=520*4=1040*2=2080
Squaring any two digit number in a few seconds
Re-posting what I had posted a few minutes ago on another forum.
Here is a method to find squares of ANY 2 digit number in a matter of seconds For that you would need to remember squares of numbers upto 25, which I believe most of us know.
So, here goes:
say 44^2.
check difference with the number 25 - In this case, 44-25 = 19
Then check difference with 50 - In this case, 50-44=6. square this difference, i.e - 6^2 = 36
Now, join the 2 numbers...1936..there you go, that's your answer
A slightly more difficult number this time - Say 71
Step 1 ... 71-25 = 46
Step 2 ... 71 - 50 = 21...21 squared = 441...since we have to ensure we stick to 2 digits only, carryover the hundreds digit (4), by adding it to 46..so the result from step 1, now becomes 46+4 = 50
So, your answer is 5041
Hope the above tricks help you save those precious seconds and minutes!
GMAT tests your knowledge as much as it does your ability to manage time. So, I hope this post helps you save a precious few seconds in trying to conquer the GMAT Quant section.
I believe that just by knowing how to multiply and divide by 2 (repeatedly), you can very QUICKLY handle the bigger numbers. Allow me to explain.
Multiplying by 5
say a number - 108
Now 108*5 can be written as (108/2)*10 = 54*10 = 540
338*5 = 169*10= 1690
Dividing by 5
Say a number - 162
162/5 = 162*2/10 = 324/10 = 32.4
412/5 = 824/10 = 82.4
Dividing by powers of 2, i.e 2,4,8,16,32 etc
Isnt it amazing that just by mastering dividing abd multiplying by 2 (which isnt difficult if you practice it a few times), you can do the same with much bigger numbers?
4 = 2^2 So you divide by 2, twice....say 38/4= 19/2 = 9.5
8 = 2^3 So you divide by 2, thrice....say 148/8 = 74/4 = 37/2 = 18.5
16 = 2^4, so you divide by 2, four times...548/16 = 274/8=137/4=68.5/2=34.25
the list goes on
Multiplying by powers of 2, i.e 2,4,8,16,32 etc
same goes with multiplication
4...multiply by 2 twice - 78*4= 156*2 = 312
8..112*8 = 224*4= 448*2= 896
16 = 130*16 = 260*8=520*4=1040*2=2080
Squaring any two digit number in a few seconds
Re-posting what I had posted a few minutes ago on another forum.
Here is a method to find squares of ANY 2 digit number in a matter of seconds
For that you would need to remember squares of numbers upto 25, which I believe most of us know.So, here goes:
say 44^2.
check difference with the number 25 - In this case, 44-25 = 19
Then check difference with 50 - In this case, 50-44=6. square this difference, i.e - 6^2 = 36
Now, join the 2 numbers...1936..there you go, that's your answer
A slightly more difficult number this time - Say 71
Step 1 ... 71-25 = 46
Step 2 ... 71 - 50 = 21...21 squared = 441...since we have to ensure we stick to 2 digits only, carryover the hundreds digit (4), by adding it to 46..so the result from step 1, now becomes 46+4 = 50
So, your answer is 5041
Hope the above tricks help you save those precious seconds and minutes!
13 Oct 2013, 13:16
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Thanks sagiyer!
Some useful tips
Best
Some useful tips
Best
