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

Out of a group of 50 students taking examinations in Mathematics, Physics, and Chemistry, 37 students passed Mathematics, 24 passed Physics, and 43 passed Chemistry. Additionally, no more than 19 students passed both Mathematics and Physics, no more than 29 passed both Mathematics and Chemistry, and no more than 20 passed both Physics and Chemistry. What is the maximum number of students who could have passed all three examinations?

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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution

Qus : 10NIMCET 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 : 11NIMCET PYQ

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 12NIMCET 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 : 13NIMCET 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 : 14NIMCET 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 : 15NIMCET 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 : 16NIMCET 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 : 17NIMCET 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