example usage of vedic / fast maths.

lets see in what all ways the vedic maths or better say fast maths can be used to beat your own mental skills and in some cases, even calculator ;)

Example 1 : Finding Square of a number ending with 5
To find the square of 75

Do the following

Multiply 5 by 5 and put (5X5)=25 as your right part of answer.
=> xxxxxxx25
now,Multiply 7 with the next higher digit
=> 7 X (7+1)=7X8
gives 56 as the left part of the answer
so, Answer is 5625


Example 2 : Calculate 43 X 47 (The above 'rule' works when you multiply 2 numbers with units digits add upto 10 and tenth place same)
3X7=21
xxxxxxx21
4X(4+1)=20

The answer is 2021 Same theory worked here too.

same as above; Find 52 X 58 ? Answer = 3016 How long this take ?

Example 3: Multiply 52 X 11
answer is 572
Write down the number being multiplied
5xxxxxxxxx2
and put the total of the digits between two digits
52 X 11 is [ 5 and 5+2=7 and 2 ] ,
answer is 572
note: in case you want to multiply 52 with 111
just write 7 twice => 5772
in case of 1111
57772

sum,here 5+2 = 7 is written one time lesser than the 1's in the digit.

QUESTION#15

An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?
A)300
B)305
C)307.5
D)1200
E)1236

QUESTION#14

TWO couples and a single person are to be seated on 5 chairs such that no couple is seated next to each other. What is the probability of the above??
A)1/25
B)2/25
C)4/25
D)3/5
E)2/5

QUESTION#13

. Kurt, a painter, has 9 jars of paint:
4 are yellow
2 are red
rest are brown
Kurt will combine 3 jars of paint into a new container to make a new color, which he will name accordingly to the following conditions:
Brun Y if the paint contains 2 jars of brown paint and no yellow
Brun X if the paint contains 3 jars of brown paint
Jaune X if the paint contains at least 2 jars of yellow
Jaune Y if the paint contains exactly 1 jar of yellow
What is the probability that the new color will be Jaune
a) 5/42
b) 37/42
c) 1/21
d) 4/9
e) 5/9

QUESTION#12

If n is an integer from 1 to 96, what is the probability for n*(n+1)*(n+2) being divisible by 8?

A)25%
B)50%
C)62.5%
D)72.5%
E)75%

QUESTION # 11

The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?
A)20
B)25
C)40
D)45
E)50