MHT CET 2024 2 May Shift 2 Question Paper: Download PCM Question Paper with Answers PDF

Question 1:

Let B = [3, α, -1; 1, 3, 1; -1, 1, 3] be the adjoint of a 3x3 matrix A and |A| = 4. Then α is equal to:

(A) 1

(B) 0

(C) -1

(D) -2

Question 2:

What is the IUPAC name of the given ether?

(A) Methoxy ethane
(B) Ethoxy methane
(C) Methanol ethyl ether
(D) Ethyl methanol ether

Question 3:

If A = [0, 1, 2; 1, 2, 3; 3, 1, 1], then A⁻¹ is:

(A) ½ [0, 1, 2; 3, 2, 1; 4, 2, 3]

(B) [½, -½, ½; -4, 3, -1; 5/2, -3/2, ½]

(C) [½, -1, 5/2; 1, -6, 3; 1, 2, -1]

(D) ½ [1, 2, 1; -8, 6, 2; 5, 3, 1]

Question 4:

Which of the following is Clemmensen reduction?

(A) Reduction of aldehydes/ketones to alkanes using zinc amalgam and HCl

(B) Oxidation of alcohols to aldehydes/ketones

(C) Reduction of nitro compounds to amines using Sn and HCl

(D) Reduction of carboxylic acids to aldehydes using LiAlH₄

Question 5:

Which element shows the lower oxidation state in the 3d series?

(A) Scandium (Sc)

(B) Titanium (Ti)

(C) Zinc (Zn)

(D) None of the above

Question 6:

Calculate the pH of the solution using the Henderson-Hasselbalch equation.

(A) pH = pK_a + log([acid]/[salt])

(B) pH = pK_a - log([salt]/[acid])

(C) pH = pK_a + log([salt]/[acid])

(D) None of the above

Question 7:

What is the concentration of H⁺ ions if the pH is 2.7?

(A) 2.00 × 10^-3 M

(B) 1.99 × 10^-3 M

(C) 1.80 × 10^-3 M

(D) None of the above

Question 8:

The relationship between solubility of a gas in a liquid at constant temperature and external pressure is:

(A) S ∝ 1/P

(B) S ∝ P

(C) S ∝ P²

(D) None of the above

Question 9:

How many unit particles are present in a BCC (Body-Centered Cubic) unit cell?

(A) 2

(B) 1

(C) 4

(D) 3

Question 10:

The most suitable reagent for the conversion of R-CH₂-OH to R-CHO is:

(A) PCC

(B) KMnO₄

(C) NaBH₄

(D) None of the above

Question 11:

What is the edge length of a BCC unit cell?

(A) 4r/√3

(B) 2r

(C) 3r/√4

(D) 4r/√2

Question 12:

What is the preliminary test for nanoparticles?

(A) X-ray diffraction

(B) Scanning of neutron

(C) Scanning of electron

(D) None of these

Question 13:

What is the IUPAC name of the given haloarene?

• (A) Chloro-benzene
  (B) Bromo-benzene
  (C) Iodo-benzene
  (D) Halo-benzene

Question 14:

The converse of ((~p) ∧ q) → r is:

(A) ((~p) ∨ q) → r

(B) (~r) → p ∧ q

(C) (p ∨ (~q)) → (~r)

(D) (~r) → ((~p) ∧ q)

Question 15:

The negative of (p ∧ (~q)) ∨ (~p) is equivalent to:

(A) p ∧ q

(B) p ∧ (~q)

(C) p ∧ (q ∧ (~p))

(D) p ∨ (q ∨ (~p))

Question 16:

The variance of the following probability distribution is:

(A) 1/8

(B) 5/8

(C) 1/4

(D) 3/8

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