Quantitative Aptitude (Maths)

Parin Sir > Quantitative Aptitude (Maths)

Jun

☼ Fundamental principal of counting : Let us consider the following situation. A man has two shirts and three trousers.

S₁ S

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Jun

Permutation And Combination

☼ 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

Example(2)

(11) Two vessels A and B contain milk and water mixed in the ratio 7 : 2 and 7 : 5 respectively. Find the ratio in which these mixtures are to be mixed to get a new mixture containing milk and water in the ratio 2 : 1.

Solutio…

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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

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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.

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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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