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Maths-

General

Easy

Question

Statement-1- The number $blank to the power of 1000 end exponent C subscript 500 end subscript$ is not divisible by 11.Because
Statement-2- If p is a prime, the exponent of p in n! is $open square brackets fraction numerator n over denominator p end fraction close square brackets$ + $open square brackets fraction numerator n over denominator p to the power of 2 end exponent end fraction close square brackets$ + $open square brackets fraction numerator n over denominator p to the power of 3 end exponent end fraction close square brackets$ +……Where [x] denotes the greatest integer $less or equal than$ x.

If both Statement-1 and Statement-2 are true and the Statement-2 is correct explanation of the Statement-1.
If both Statement-1 and Statement-2 are true but Statement-2 is not correct explanation of the Statement-1.
If Statement-1 is true but the Statement-2 is false.
If Statement-1 is false but Statement-2 is true

The correct answer is: If both Statement-1 and Statement-2 are true but Statement-2 is not correct explanation of the Statement-1.

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$text If end text y equals e to the power of 4 x end exponent plus 2 e to the power of negative x end exponent$ satisfies the relation $fraction numerator d cubed y over denominator d x cubed end fraction plus A fraction numerator d y over denominator d x end fraction plus B y equals 0$ then value of A and B respectively are:

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Variation of radiant energy emitted by sun, filament of tungsten lamp and welding are as a function of its wavelength is shown in figure. Which of the following option is the correct match?

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Six identical metallic rods are joined together in a pattern as shown in the figure. Points A and D are maintained at temperature $60 ℃$ and $240 ℃$ . The temperature of the junction $B$ will be

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Which curve shows the rise of temperature with the amount of heat supplied, for a piece of ice?

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The graph signifies

The graph signifies

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The figure given below shows the cooling curve of pure wax material after heating. It cools from $A$ to $B$ and solidifies along $B D.$ If $L$ and $C$ are respective values of latent heat and the specific heat of the liquid wax, the ratio $L divided by C$ is

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Five identical rods are joined as shown in figure. Point $A$ and $C$ are maintained at temperature $120 ℃$ and $20 ℃$ respectively. The temperature of junction $B$ will be

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If $s i n invisible function application x equals 1 divided by 2$ , then $s i n invisible function application 3 x equals$ _______________

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Which one of the following is $v subscript m end subscript minus T$ graph for perfectly black body? $v subscript m end subscript$ is the frequency of radiation with maximum intensity, $T$ is the absolute temperature.

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