Practice Questions

Q59.Match List I with List II : List I List II A. Saccharin I. High potency sweetener B. Aspartame II. First artificial sweetening agent C Alitame III. Stable at cooking temperature D. Sucralose IV. Unstable at cooking temperature Choose the correct answer from the options given below : JEE Main 2023 (08 Apr Shift 1) JEE Main Previous Year Paper (1) A-IV, B-III, C-I, D-II (2) A-II, B-III, C-IV, D-I (3) A-II, B-IV, C-III, D-I (4) A-II, B-IV, C-I, D-III

Q59.Match List I with List II List I List II Antimicrobials Names (A) Narrow Spectrum (I) Furacin Antibiotic (B) Antiseptic (II) Sulphur dioxide (C) Disinfectants (III) Penicillin-G (D) Broad spectrum antibiotic (IV) Chloramphenicol (1) (A) - III, (B) - I, (C) - II, (D) - IV (2) (A) - I, (B) - II, (C) - IV, (D) - III (3) (A) - II, (B) - I, (C) - IV, (D) - III (4) (A) - III, (B) - I, (C) - IV, (D) - II JEE Main 2023 (29 Jan Shift 1) JEE Main Previous Year Paper

Q59.Match List I with List II List I (Name of polymer) List II (Uses) A Glyptal I Flexible pipes B Neoprene II Synthetic wool C Acrilan III Paints and Lacquers D LDP IV Gaskets Choose the correct answer from the options given below :- (1) A −III, B −II, C −IV, D −I (2) A −III, B −IV, C −II, D −I (3) A −III, B −IV, C −I, D −II (4) A −III, B −I, C −IV, D −II

Q60.Sulphur (S) containing amino acids from the following are: (a) isoleucine (b) cysteine (c) lysine (d) methionine (e) glutamic acid (1) b, c, e (2) a, b, c (3) b, d (4) a, d

Q60.Match List I with List II List II List I One Letter Natural amino acid Code (A) Glutamic acid (I) Q (B) Glutamine (II) W (C) Tyrosine (III) E JEE Main 2023 (08 Apr Shift 2) JEE Main Previous Year Paper (D) Tryptophan (IV) Y Choose the correct answer from the options given below: (1) (A)-III, B-IV, (C)-I, (D)-II (2) (A)-IV, B-III, (C)-I, (D)-II (3) (A)-III, B-I, (C)-IV, (D)-II (4) (A)-II, B-I, (C)-IV, (D)-III

Q60.Match List-I with List-II. List-I List-II Natural Amino One Letter acid Code (A) Arginine (I) D (B) Aspartic acid (II) N (C) Asparagine (III) A (D) Alanine (IV) R Choose the correct answer from the options given below: JEE Main 2023 (06 Apr Shift 2) JEE Main Previous Year Paper (1) (A)–IV, B–I, (C)–II, (D)–III (2) (A)–I, B–III, (C)–IV, (D)–II (3) (A)–III, B–I, (C)–II, (D)–IV (4) (A)–IV, B–I, (C)–III, (D)–II

Q64.If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial numbers, then the serial number of the word THAMS is (1) 103 (2) 102 (3) 101 (4) 104

Q65.If tan15° + + + tan195° = 2a, then the value of 𝑎+ is : tan75° tan105° 𝑎 (1) 4 (2) 4 - 2√3 (3) 2 (4) 5 - 3 2√3

Q65.If 2𝑛𝐶3: 𝑛𝐶3 = 10: 1, then the ratio 𝑛2 + 3𝑛: 𝑛2 - 3𝑛+ 4 is (1) 35: 16 (2) 27: 11 (3) 65: 37 (4) 2: 1

Q67.Statement ( 𝑃⇒𝑄) ∧( 𝑅⇒𝑄) is logically equivalent to (1) 𝑃⇒𝑅∨𝑄⇒𝑅 (2) 𝑃∧𝑅⇒𝑄 (3) 𝑃⇒𝑅∧𝑄⇒𝑅 (4) 𝑃∨𝑅⇒𝑄

Q67.The negation of the expression 𝑞∨( ( ~𝑞) ∧𝑝) is equivalent to (1) ( ~𝑝) ∧( ~𝑞) (2) 𝑝∧( ~𝑞) (3) ( ~𝑝) ∨( ~𝑞) (4) ( ~𝑝) ∨𝑞

Q67.The negation of the statement 𝑝∨𝑞∧𝑞∨~𝑟 is (1) 𝑝∨𝑟∧~𝑞 (2) ~𝑝) ∨𝑟∧~𝑞 (3) ~𝑝∨~𝑞∨~𝑟 (4) ~𝑝∨~𝑞∧~𝑟

Q68.Negation of p ∧(q ∧~(p ∧q)) is (1) (~(p ∧q)) ∨p (2) p ∨q (3) ~(p ∨q) (4) (~(p ∧q)) ∧q

Q69.The statement ~𝑝∨~𝑝∧𝑞 is equivalent to (1) ~𝑝∧𝑞 (2) 𝑝∧𝑞∧~𝑝 (3) ~𝑝∧𝑞∧𝑞 (4) ~𝑝∨𝑞 JEE Main 2023 (10 Apr Shift 2) JEE Main Previous Year Paper

Q69.The statement ( 𝑝∧( ~𝑞) ) ∨( ( ~𝑝) ∧ 𝑞) ∨( ( ~𝑝) ∧ ( ~𝑞) ) is equivalent to _____ (1) ~𝑝∨𝑞 (2) ~𝑝∨~𝑞 (3) 𝑝∨~𝑞 (4) 𝑝∨𝑞 Q70. 1 2 3 Let for 𝐴= 𝛼3 1 , 𝐴= 2. If |2 adj ( 2 adj ( 2𝐴) ) | = 32𝑛, then 3𝑛+ 𝛼 is equal to 1 1 2 (1) 9 (2) 11 (3) 12 (4) 10

Q70.Let H be the hyperbola, whose foci are (1 ± √2, 0) and eccentricity is √2 . Then the length of its latus rectum is: (1) 3 (2) 52 (3) 2 (4) 32

Q72.Among the two statements (S1) : (p ⇒q) ∧(p ∧(~q)) is a contradiction and (S2) : (p ∧q) ∨((~p) ∧q) ∨(p ∧(~q)) ∨((~p) ∧(~q)) is a tautology (1) only (S2) is true (2) only (S1) is true (3) both are false (4) both are true

Q72.The converse of ((~p) ∧q) ⇒r is (1) ((~p) ∨q) ⇒r (2) (~r) ⇒p ∧q (3) (~r) ⇒((~p) ∧q) (4) (p ∨(~q)) ⇒(~r)

Q72.The statement (p ∧(~q)) ⇒(p ⇒(~q)) is (1) equivalent to (~p) ∨(~q) (2) a tautology (3) equivalent to p ∨q (4) a contradiction

Q72.Which of the following statements is a tautology? (1) p →(p ∧(p →q)) (2) (p ∧q) →(~(p) →q) (3) (p ∧(p →q)) →~q (4) p ∨(p ∧q)

Q72.Let p and q be two statements. Then ~(p ∧(p →~q) is equivalent to (1) p ∨(p ∧(~q)) (2) p ∨((~p) ∧q) (3) (~p) ∨q (4) p ∨(p ∧q)

Q73.The negation of (p ∧(−q)) ∨(−p) is equivalent to (1) p ∧(−q) (2) p ∧q (3) p ∨(q ∨(−p)) (4) p ∧(q ∧(−p))

Q73.Negation of (p →q) →(q →p) is (1) (p~) ∨p (2) q ∧(~p) (3) (~q) ∧p (4) p ∨(~q)

Q75.Let A = {1, 2, 3, 4, 5, 6, 7} . Then the relation R = {(x, y) ∈A × A : x + y = 7} is (1) an equivalence relation (2) symmetric but neither reflexive nor transitive (3) transitive but neither symmetric nor reflexive (4) reflexive but neither symmetric nor transitive A−1 = αA + βI and α + β = −2, then 4α2 + β2 + λ2 is equal to :

Q76.For x ∈R, two real valued functions f(x) and g(x) are such that, g(x) = √x + 1 and fog(x) = x + 3 −√x. Then f(0) is equal to (1) 1 (2) 5 (3) 0 (4) −3