theorems

03
Jun
Arithmetic Mean

Arithmetic Mean  :   The arithmetic mean of   n  numbers  x_{1}, x_{2},x_{3},...,x_{n}   is denoted by     and is calc…

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02
Jun
Average

Average  :   An average is a single value that is in some way indicative of  a group of  values. The most commonly used average is arithmetic mean (AM) or simply the average (

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02
Jun
Example(3)

(21) Find the lowest number which when subtracted from  10000, is exactly divisible by  15, 27 and 24.

Soln. L.C.M. of  15, 27 and 24   =   1080.

If we divide 10000 by 1080, we get the remainder = 280

i.e.  If  280  i…

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02
Jun
Examples(2)

(11) Greatest number which can divide  327,  352,  200  leaving  respectively  12, 7,  5   as remainders,  is  :

Soln. Required  number =   H.C.F.  of   ( 327 – 12 ),  ( 352 – 7 ), ( 200 – 5 )

=   H.C.F.  of   315,  345,  195

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02
Jun
Examples 1 to 10

(1) Two numbers are in the ratio of  15 : 7.  If their H.C.F. is 12,  find the numbers.

Soln. Let the required numbers be  15x  and  7x.

Then, their H.C.F. is x. So, x  =  12.

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02
Jun
Comparison of   Fractions

Comparison of   Fractions : Find the L.C.M. of the denominators of the given fractions. Convert each of  the fractions into an equivalent fraction with L.C.M. as the denominator, by multiplying both the numerator and denominator by…

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01
Jun
H.C.F. and L.C.M. of   Decimal Fractions

H.C.F. and L.C.M. of   Decimal Fractions : In given numbers, make the same number of decimal places by annexing zeros in some numbers, of necessary. Considering these numbers without decimal point, find H.C.F. or L.C.M. of   as the…

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01
Jun
Co-primes

Co-primes :  Two  numbers  are  said  to  be  co-primes (or  relatively prime), if  their H.C.F.  is  1.

 e.g. (18, 25)  =  1.  18  and  25  are  co-primes….

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