Day 215: MHT-CET Maths

1. A.
   An integer is not greater than 4 but less than 5 and it is a multiple of 3.
2. B.
   If an integer is not greater than 4 and less than 5 then it is not a multiple of 3.
3. C.
   An integer is greater than 4 and less than 5 but it is not a multiple of 3.
4. D.
   An integer is not greater than 4 and not less than 5 but it is not a multiple of 3.

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1. A.
   $S_1$ is ON and $S_2$ is OFF
2. B.
   $S_1$ is OFF and $S_2$ is ON
3. C.
   $S_1$ and $S_2$ both ON or $S_1$ and $S_2$ both OFF
4. D.
   The room is always lit.

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1. A.
   $2024$
2. B.
   $2025$
3. C.
   $2026$
4. D.
   $2027$

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1. A.
   $1013$
2. B.
   $2026$
3. C.
   $3039$
4. D.
   $6078$

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1. A.
   $\tan^{-1}\left(x^5 + \dfrac{1}{x^5}\right) + c$
2. B.
   $\dfrac{1}{5}\tan^{-1}\left(x^5 + \dfrac{1}{x^5}\right) + c$
3. C.
   $\tan^{-1}\left(x^{10} + \dfrac{1}{x^{10}}\right) + c$
4. D.
   $\dfrac{1}{10}\tan^{-1}\left(x^{10} + \dfrac{1}{x^{10}}\right) + c$

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