MHT-CET

Set Theory question bank (Mathematics)

Practice 35 free MHT-CET Mathematics - Set Theory questions with answers and step-by-step solutions.

Q1.

For a real number $x$,$[x]$ denotes the greatest integer less than or equal to $x$. Then the value of $\left[\frac{1}{2}\right] + \left[\frac{1}{2} + \frac{1}{100}\right] + \left[\frac{1}{2} + \frac{2}{100}\right] + \left[\frac{1}{2} + \frac{3}{100}\right] + \ldots + \left[\frac{1}{2} + \frac{99}{100}\right] =$

(A)
$49$
(B)
$100$
(C)
$0$
(D)
$50$
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Q2.

The missing term in the following table is
$\begin{array}{|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 \\ \hline y=f(x) & 1 & 3 & 9 & ? & 81 \\ \hline \end{array}$

(A)
$27$
(B)
$30$
(C)
$31$
(D)
$34$
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