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Permutation

What should c...

Question

What should come next in the following letter series?
A A B A B C A B C D A B C D E A B C D E F A B C D E F.

A

A

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B

G

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C

H

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D

B

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Solution

The correct option is B G
Series is A/ AB/ ABC/ ABCD/ ABCDE/ ABCDEF/ ABCDEF__.
Letters are written in the alphabetical order but in the following sequence:
the first letter;
the first two letters,
the first three letters and so on.
Hence the answer is option B

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Similar questions

Q. Observe the following Lists

List-I	List-II
$A) \int_{0}^{a} f (x) d x$	1) $\int_{0}^{a} f (a + x) d x$
B) $\int_{- a}^{a} f (x) d x$	2) $\int_{0}^{a} f (a - x) d x$
C) $\int_{0}^{2 a} f (x) d x$	3) 0, if $f (x)$ is odd
D) $\int_{0}^{n a} f (x) d x$	4) $0$ , if $f (2 a - x)$ $= - f (x)$
	5) $(n - 1) \int_{0}^{a} f (x) d x$ , if period of f(x) is $a$ .
	6) $\int_{0}^{a} f (x) d x$ , if period of $f (x)$ is $a$ .

\int_{a + c}^{b + c} f (x) d x

is equal to

(a)

\int_{a}^{b} f (x - c) d x

\int_{a}^{b} f (x + c) d x

\int_{a}^{b} f (x) d x

\int_{a - c}^{b - c} f (x) d x

Q. How many of the following integrals are correct?
1.

\int \frac{d x}{\sqrt{x^{2} + a^{2}}} = l n | x + \sqrt{x^{2} + a^{2}} | + C

\int \frac{d x}{\sqrt{x^{2} - a^{2}}} = l n | x - \sqrt{x^{2} - a^{2}} | + C

\int \frac{d x}{x^{2} - a^{2}} = \frac{1}{2 a} l n ∣ ∣ \frac{x - a}{x + a} ∣ ∣ + C

\int \frac{d x}{a^{2} - x^{2}} = \frac{1}{2 a} l n ∣ ∣ \frac{x + a}{x - a} ∣ ∣ + C

\int_{0}^{2 a} f (x) d x = \int_{0}^{a} (f (a - x) + f (a + x)} d x

\int_{0}^{a} f (x) d x = \int_{0}^{a} f (a - x) d x

and hence evaluate

\int_{0}^{a} \frac{\sqrt{x}}{\sqrt{x} + \sqrt{a - x}} d x

.

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