NIMCET Sets and Relations Previous Year Question Paper and Solution with PDF

A survey is done among a population of 200 people who like either tea or coffee. It is found that 60% of the pop lation like tea and 72% of the population like coffee. Let $x$ be the number of people who like both tea & coffee. Let $m{\leq x\leq n}$, then choose the correct option.

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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Qus : 8NIMCET PYQ

Let Z be the set of all integers, and consider the sets $X=\{(x,y)\colon{x}^2+2{y}^2=3,\, x,y\in Z\}$ and $Y=\{(x,y)\colon x{\gt}y,\, x,y\in Z\}$. Then the number of elements in $X\cap Y$ is:

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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution

Qus : 9NIMCET PYQ

There are two sets A and B with |A| = m and |B| = n. If |P(A)| − |P(B)| = 112 then choose the wrong option (where |A| denotes the cardinality of A, and P(A) denotes the power set of A)

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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Qus : 10NIMCET PYQ

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 11NIMCET PYQ

In a survey where 100 students reported which subject they like, 32 students in total liked Mathematics, 38 students liked Business and 30 students liked Literature. Moreover, 7 students liked both Mathematics and Literature, 10 students liked both Mathematics and Business. 8 students like both Business and Literature, 5 students liked all three subjects. Then the number of people who liked exactly one subject is

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 12NIMCET PYQ

If A={1,2,3,4} and B={3,4,5}, then the number of elements in (A∪B)×(A∩B)×(AΔB)

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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

Solution

Qus : 13NIMCET PYQ

Suppose $A_1,A_2,\ldots,A_{30}$ are 30 sets each with five elements and $B_1,B_2,B_3,\ldots,B_n$ are n sets (each with three elements) such that $\bigcup ^{30}_{i=1}{{A}}_i={{\bigcup }}^n_{j=1}{{B}}_i=S\, $ and each element of S belongs to exactly ten of the $A_i$'s and exactly 9 of the $B^{\prime}_j$'s. Then $n=$

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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

Solution

Qus : 14NIMCET PYQ

The number of elements in the power set P(S) of the set S = [2, (1, 4)] is

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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution

Qus : 15NIMCET PYQ

If X and Y are two sets, then X∩Y ' ∩ (X∪Y) ' is

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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

Solution

Qus : 16NIMCET PYQ

In a class of 50 students, it was found that 30 students read "Hitava", 35 students read "Hindustan" and 10 read neither. How many students read both: "Hitavad" and "Hindustan" newspapers?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ