JEE Main 2021 Aug 26 Shift 1 Question Paper with Solution PDF- Download Here

JEE Main Questions

• 1.

  Iodoform test can differentiate :

  • Anisole and Acetone
  • Acetic acid and Aniline
  • Ethanol and Acetone
  • Methanol and benzoic acid
    
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• 2.

  Identify A in the following reaction.
  

  • 

  • 

  • 

  • 

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• 3.

  The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are \( 2, 3, 5, 10, 11, 13, 15, 21 \), then the mean deviation about the median of all the 10 observations is:

  • \(4\)
  • \(6\)
  • \(5\)
  • \(7\)
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• 4.

  Let $\vec{a}=2\hat{i}-\hat{j}-\hat{k}$, $\vec{b}=\hat{i}+3\hat{j}-\hat{k}$ and $\vec{c}=2\hat{i}+\hat{j}+3\hat{k}$. Let $\vec{v}$ be the vector in the plane of $\vec{a}$ and $\vec{b}$, such that the length of its projection on the vector $\vec{c}$ is $\dfrac{1}{\sqrt{14}}$. Then $|\vec{v}|$ is equal to
  

  • $\dfrac{\sqrt{35}}{2}$
    
  • $\dfrac{\sqrt{21}}{2}$
    
  • 7
    
  • 13
    
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• 5.

  An organic compound (P) on treatment with aqueous ammonia under hot condition forms compound (Q) which on heating with Br₂ and KOH forms compound (R) having molecular formula C₆H₇N. Names of P, Q and R respectively are.

  • Phenylethanoic acid, phenylethanamide, benzamine
  • Benzoic acid, 4-methylbenzamide, 4-methylaniline
  • Benzoic acid, benzamide, aniline
  • Toluic acid, methylbenzamide, 2-methylaniline
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• 6.

  A boy throws a ball into air at $45^\circ$ from the horizontal to land it on a roof of a building of height $H$. If the ball attains maximum height in $2\,\text{s}$ and lands on the building in $3\,\text{s}$ after launch, then the value of $H$ is ___ m.
  (Given: $g = 10\,\text{m s}^{-2}$)
  

  • $25$
  • $10$
  • $15$
  • $20$ 

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