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Parin Sir > math

Jun

Examples(2)

(8) If a, b, c, d are four consecutive odd integers, then give its average in the form of a.

Soln. A b c

Here, a, b, c, d are in A.P.

$\th... </p> <div class=$

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Jun

Examples

Examples :

(1) Find the average of first 7 prime numbers.

Soln. Required average = $\left (\frac{2+3+5+7+11+13+17}{7} \right )$

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Jun

Harmonic Mean

☼ Harmonic Mean : If the reciprocals of the terms is an arithmetic series is taken and then summed up, then the number of observations divided by the sum is defined as Harmonic mean.

Harmonic mean of

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Jun

Geometric Mean

☼ Geometric Mean : The geometric mean (G.M.) of n numbers is the nth root of the product of the n numbers.

Therefore, Geometric mean of $a_{... </p> <div class=$

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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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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 ( $\overline... </p> <div class=$

Posted in: Average,

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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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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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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.

$\t... </p> <div class=$

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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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