Q JEE MAIN 2022

Let $A=\{1,2,3,4,5,6,7\}$. Define $B=\{T \subseteq A$ : either $1 \notin T$ or $2 \in T\}$ and $C=\{T \subseteq A: T$...

JEE Main Mathematics Hard

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Q JEE-Main 2024

Let $A$ and $B$ be two finite sets with $m$ and $n$ elements respectively. The total number of subsets of...

JEE Main Mathematics Easy

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Q JEE MAIN_2026_

A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone...

JEE Main Mathematics Medium

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Q JEE MAIN 2019

Let A, B and C be sets such that φ ≠ A ∩ B ⊆ C. Then which of the...

JEE Main Mathematics Medium

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Q JEE MAIN 2020

A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x...

JEE Main Mathematics Medium

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Q JEE MAIN 2020

Set A has m elements and Set B has n elements. If the total number of subsets of A is...

JEE Main Mathematics Easy

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Q JEE MAIN 2019

Let $Z$ be the set of integers. If $A=\left\{x \in Z: 2^{(x+2)\left(x^2-5 x+9\right)}=1\right\}$ and $B=\{x \in Z:-3

JEE Main Mathematics Easy

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Q JEE Main 2019

In a class of 140 students numbered 1 to 140, all even numbered students opted Mathematics course, those whose number...

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Q JEE MAIN 2020

Let $\bigcup_{i=1}^{50} X_i=\bigcup_{i=1}^n Y_i=T$ where each $X_i$ contains 10 elements and each $Y_i$ contains 5 elements. If each element of...

JEE Main Mathematics Medium

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Q JEE MAIN 2020

If $A=\{x \in R:|x|

JEE Main Mathematics Easy

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Q JEE MAIN 2019

Two newspapers A and B are published in a city. It is known that 25% of the city population reads...

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Q JEE MAIN 2021

If $A=\{x \in \mathbf{R}:|x-2|>1\}, B=\left\{x \in \mathbf{R}: \sqrt{x^2-3}>1\right\}, C=\{x \in \mathbf{R}:|x-4| \geq 2\}$ and $\mathbf{Z}$ is the set of all...

JEE Main Mathematics Easy

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Q JEE Main 2021

Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are...

JEE Main Mathematics Easy

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Q JEE MAIN 2021 S2

Let $A=\left\{n \in N \mid n^2 \leq n+10,000\right\}, B=\{3 k+1 \mid k \in N\}$ and $...

JEE Main Mathematics Medium

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Q JEE MAIN_2021_

In a school, there are three types of games to be played. Some of the students play two types of...

JEE Main Mathematics Medium

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Q JEE MAIN_2022

The series of positive multiples of 3 is divided into sets : {3}, {6, 9,12}, {15, 18, 21, 24, 27},......

JEE Main Mathematics Medium

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Q JEE MAIN 2022

Let $A=\{n \in N:$ H.C.F. $(n, 45)=1\}$ and Let $B=\{2 k: k \in\{1,2, \ldots, 100\}\}$. Then the sum of all...

JEE Main Mathematics Medium

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Q JEE MAIN 2023

In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of...

JEE Main Mathematics Easy

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Q JEE MAIN 2023

The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one...

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Q JEE MAIN 2023

Let the number of elements in sets A and B be five and two respectively. Then the number of subsets...

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Q JEE MAIN 2023

An organization awarded 48 medals in event ‘A’, 25 in event ‘B’ and 18 in event ‘C’. If these medals...

JEE Main Mathematics Medium

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Q JEE-Main 2023

Let $A=\{x \in R ;[x+3]+[x+4] \leq 3\},\left\{x \in R: 3^x\left(\sum_{t=1}^{\infty} \frac{3}{10^t}\right)^{x-3}

JEE Main Mathematics Medium

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Q JEE MAIN 2024

In a survey of 220 students of a higher secondary school, it was found that at least 125 and at...

JEE Main Mathematics Hard

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Q JEE MAIN 2024

A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics & Chemistry. It was found...

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Q JEE-Main 2024

The number of elements in the set S={(x,y,z):x,y,z∈Z,x+2y+3z=42,x,y,z ≥0} equals

JEE Main Mathematics Medium

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