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  • Question 1
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    \(\lim _{x \rightarrow 0} \frac{3^{x}-1}{\sqrt{x+1}-1}\) is equal to

  • Question 2
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    If cos−1x−sin−1x = 0 , then x is equal to

  • Question 3
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    A company has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

  • Question 4
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    The value of \(\lim _{h \rightarrow 0} \frac{\ln (1+2 h)-2 \ln (1+h)}{h^{2}}\) is

  • Question 5
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    The set of points where x2|x| is differentiable thrice is

  • Question 6
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    \(f(x)=\left\{\begin{array}{cl}x^{2} & \text { for } \quad x \geq 1 \\ a x+b & \text { for } \quad x<1\end{array}\right.\)
    If \(f\) is a differentiable function, then

  • Question 7
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    Solve 5 (2x + 1) ≤ 35, where x is a natural number.

  • Question 8
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    The value of \(\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)\) is equal to

  • Question 9
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    A bag contains 5 red balls and 8 blue balls. It also contains 4 green and 7 black balls. If a ball is drawn at random, then find the probability that it is not green.

  • Question 10
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    Three numbers are chosen at random without replacement from {1,2,3,...,8}. The probability that their minimum is 3, given that their maximum is 6, is:

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