mathematics

Parin Sir > mathematics

Jun

☼ Factorials : Permutation and Combination is a topic which requires use of the concept of factorials. A factorial is the number obtained by multiplying all the positive integers less than or equal to a given positive integer. T…

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Jun

Examples

(1) In what proportion must rice at Rs. 12.50 per kg. be mixed with rice at Rs. 15.20 per kg., so that the mixture be worth Rs. 14.00 per kg. ?

Solution.

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Jun

ALLIGATION OR MIXTURE

☼ Alligations is the rule that helps us to find the amount in which two different quantities of a substance are mixed so as to arrive at average cost.

☼ If the gradients are mixed in some ratio, then

Posted in: ALLIGATION OR MIXTURE,

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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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