Which one of the following is the common factor of $(47^{43} + 43^{43})$ and $(47^{47} + 43^{47})$ ?

(47 + 43)

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(50 + 40)

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(77 + 73)

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(88 + 40)

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Solution

The correct option is A $(47 + 43)$
When n is odd, $(x^{n} + a^{n})$ is always divisible by (x + a).
Each one of $(47^{43} + 43^{43})$ and $(47^{47} + 43^{47})$ is divisible by $(47 + 43)$ .

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Similar questions

The marks scored by

40

candidates in an examination (out of

100

) is given below:

75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61, 42, 46

68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45, 51, 47, 41, 43

Prepare a frequency distribution table with the class size

10

. Take the class intervals as

(30 - 39), (40 - 49), . . .

and answer the following questions:

(i) Which class intervals have the highest and lowest frequency?

(ii) Write the upper and lower limits of the class interval

30 - 39

The marks scored by 40 students of class IX in mathematics are given below:
$\begin{matrix} 81, & 55, & 68, & 79, & 85, & 43, & 29, & 68, & 54, & 73, & 47, 35, & 72, & 64, & 95, & 44, & 50, & 77, & 64, & 35, & 79, & 52, 45, & 54, & 70, & 83, & 62, & 64 & 72, & 92, & 84, & 76 & 63 43, & 54, & 38, & 73, & 68, & 52, & 54 \end{matrix}$
Prepare a frequency distribution with class size of 10 marks.

Q. Which is the highest common factor of 40 and 60?

Q. 41, 43, 47, 53, 61, 71, 73, 81

Q. The value of

{cos}^{2} 73^{\circ} + {cos}^{2} 47^{\circ} - {sin}^{2} 43^{\circ} + {sin}^{2} 107^{\circ}

is equal to :

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Which one of the following is the common factor of (4743+4343) and (4747+4347) ?

The correct option is A (47+43)When n is odd, (xn+an) is always divisible by (x + a).Each one of (4743+4343) and (4747+4347) is divisible by (47+43).

Which one of the following is the common factor of $(47^{43} + 43^{43})$ and $(47^{47} + 43^{47})$ ?

The correct option is A $(47 + 43)$
When n is odd, $(x^{n} + a^{n})$ is always divisible by (x + a).
Each one of $(47^{43} + 43^{43})$ and $(47^{47} + 43^{47})$ is divisible by $(47 + 43)$ .