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Quantitative Aptitude

Averages

Consider the ...

Question

Consider the set S={2,3,4……2n+1), where n is a positive integer larger than 2007. Define X as the average of odd integers in S and Y as the average of the even integers in S. What is the value of X-Y?

A

1

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B

\frac{n}{2}

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C

\frac{(n + 1)}{2 n}

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D

2008

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Solution

The correct option is A 1
Option A is the correct answer. Check the video for the approach.

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Similar questions

Consider the set S={2,3,4......2n+1}, where n is a positive integer larger than 2007. Define X as the average of odd integers in S and Y as the average of the even integers in S. What is the value of X-Y?

Q. Consider the sequence of number

[n + \sqrt{2 n} + \frac{1}{2}]

n \geq 1

[x]

denotes the greatest integer not exceeding

x

. If the missing integers in the sequence are

n_{1} < n_{2} < n_{3} < \dots \dots

n_{12}

Q. (x+1) is a factor of xⁿ + 1 only if

(i) n is an odd integer

(ii) n is an even integer

(iii) n is a negative integer

(iv) n is a positive integer

Q. A polynomial is given as

F (x) = a_{0} + a_{1} x + a_{2} x^{2} + . . . . + a_{n - 1} x^{n - 1}

with integer coefficients. If

F (0)

F (1)

are odd integers then the roots are

Q. Show that the middle term in the expansion of

(1 + x)^{2 n}

\frac{1.3.5..... (2 n - 1)}{n!}

2^{n} x^{n}

; where n is a positive integer.

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