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CMI2020-A: 5
A boolean function on $n$ variables is a function $f$ that takes an n-tuple of boolean values $x \in \{0,1\}^n$ as input and produces a boolean value $f(x)\in \{0,1\}$ as output. We say that a boolean function $f$ ... boolean functions on $n$ variables? $n+1$ $n!$ $\displaystyle \sum^n_{i=0} \begin{pmatrix} n\\i \end{pmatrix}$ $2^{n+1}$
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May 4, 2021
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CMI2020-A: 4
In a class, every student likes exactly one novelist and one musician. If two students like the same novelist, they also like the same musician. The class can be divided into novelist groups, each group consisting of all the students who like one novelist. ... For every musician group, there is a bigger novelist group For every novelist group, there is a musician group of the same size
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May 4, 2021
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CMI2020-A: 3
Some children are given boxes containing sweets. Harish is happy if he gets either gems or toffees. Rekha is happy if she gets both bubble gums and peppermints. Some of the boxes are special, which means that if the box contains either gems or toffees, then it ... we infer? Harish is happy No bubble gums in Rekha's box No toffees in Harish's box There are peppermints in Rekha's box
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CMI2020-A: 2
Consider the following regular expressions over alphabet$\{a,b\}$, where the notation $(a+b)^+$ means $(a+b)(a+b)^*$: $r_1=(a+b)^+a(a+b)^*$ $r_2=(a+b)^*b(a+b)^+$ Let $L_1$ and $L_2$ be the languages defined by $r_1$ and $r_2$, respectively. Which of the following regular expressions define $L_1\cap L_2$? ... $(a+b)^*a\;b(a+b)^*$ $(a+b)^*b(a+b)^*a(a+b)^*$ $(a+b)^*a(a+b)^*b(a+b)^*$
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May 4, 2021
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245
CMI2020-A: 1
Which of the following languages over the alphabet $\{0,1\}$ are $not$ recognized by deterministic finite state automata $(DFA)$ with $three$ states? Words which do not have $11$ as a contiguous subword Binary representations of multiples of three Words that have $11$ as a suffix Words that do not contain $101$ as a contiguous subword
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May 4, 2021
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