Practice Questions

Q59.The major product formed in the reaction given below will be : (1) (2) (3) (4)

Q59.In the following compounds, the decreasing order of basic strength will be: (1) C2H5NH2 > NH3 > ( C2H5 ) 2NH (2) ( C2H5 ) NH > NH3 > C2H5NH2 (3) NH3 > C2H5NH2 > ( C2H5 ) 2NH (4) ( C2H5 ) 2NH > C2H5NH2 > NH3

Q59.The correct statement(s) among I to III with respect to potassium ions that are abundant within the cell fluids, is/are I. They activate many enzymes. JEE Main 2019 (12 Jan Shift 2) JEE Main Previous Year Paper II. They participate in the oxidation of glucose to produce ATP. III. Along with sodium ions, they are responsible for the transmission of nerve signals. (1) I , II and III (2) III only (3) I and II only (4) I and III only

Q59.The correct match between Item - I and Item - II is: Item - I Item - II (a) High density polythene (I) Peroxide catalyst (b) Polyacrylonitrile (II) Condensation at high temperature & pressure (c) Novolac (III) Ziegler-Natta catalyst (d) Nylon 6 (IV) Acid or base catalyst JEE Main 2019 (10 Apr Shift 2) JEE Main Previous Year Paper (1) a →IV, b →( II ) , ( c ) →( I ) , ( d ) →( III ) (2) ( a ) →III, ( b ) →( I ) , ( c ) →( IV ) , ( d ) →( II ) (3) ( a ) →III, ( b ) → ( I ) , ( c ) →( II ) , ( d ) →( IV ) (4) ( a ) →II, b →IV, c →I, d →III

Q59.The major product of the following reaction is: (1) (2) (3) (4) JEE Main 2019 (09 Jan Shift 2) JEE Main Previous Year Paper

Q60.Number of stereo centers present in linear and cyclic structures of glucose are respectively: (1) 4 and 4 (2) 5 and 5 (3) 4 and 5 (4) 5 and 4

Q60. The correct match between Item I and Item II is: (1) (A) →(Q, R); (B) →(S); (C) →(P) (2) (A) →(R); (B) →(Q); (C) →(P) (3) (A) →(R); (B) →(S); (C) →(Q) (4) (A) →(Q); (B) →(S); (C) →(R)

Q60.Amylopectin is composed of: (1) β −D− glucose , C1 −C4 and C1 −C6 (2) α −D− glucose, C1 −C4 and C2 −C6 linkages linkages (3) α −D− glucose, C1 −C4 and C1 −C6 linkages (4) β −D− glucose, C1 −C4 and C2 −C6 linkages

Q60.The correct structure of histidine in a strongly acidic solution (pH = 2) is (1) (2) (3) (4)

Q60.The correct match between item I and item II is Item I (Compound) Item II (Reagent) a. Lysine p. 1−naphthol JEE Main 2019 (10 Jan Shift 2) JEE Main Previous Year Paper b. Furfural q. Ninhydrin c. Benzyl alcohol r. KMnO4 d. Styrene s. Ceric ammonium nitrate (1) a →q, b →r, c →s, d →p (2) a →q, b →p, c →s, d →r (3) a →r, b →p, c →q, d →s (4) a →q, b →p, c →r, d →s

Q60.Fructose and glucose can be distinguished by: (1) Fehling's test (2) Benedict's test (3) Barfoed's test (4) Seliwanoff's test

Q60.The peptide that gives positive ceric ammonium nitrate and carbylamine tests is: (1) Gln −Asp (2) Asp −Gln (3) Lys −Asp (4) Ser −Lys

Q60.Among the following compounds most basic amino acid is: (1) Lysine (2) Asparagine (3) Serine (4) Histidine

Q61.If 𝛼 and 𝛽 are the roots of the equation 375 𝑥2 - 25𝑥- 2 = 0, then 𝑛 𝛽𝑟 is equal to: ∑ 𝑟= 1 lim ∑ 𝑟=𝑛 1 𝛼𝑟+ 𝑛→∞lim 𝑛→∞ (1) 1 (2) 21 12 346 (3) 7 (4) 29 116 358

Q61.Let α and β be the roots of the quadratic equation x2 sin θ −x(sin θ cos θ + 1) + cos θ = 0 (0 < θ < 45∘), and (−1)n is equal to : α < β. Then ∑∞n=0 (αn + βn ) 1 (1) 1−cos θ − 1+sin1 θ (2) 1+cos1 θ + 1−sin1 θ 1 (3) 1−cos θ + 1+sin1 θ (4) 1+cos1 θ − 1−sin1 θ JEE Main 2019 (11 Jan Shift 2) JEE Main Previous Year Paper

Q61.Let 𝛼 and 𝛽 be the roots of the equation 𝑥2 + 2𝑥+ 2 = 0, then 𝛼15 + 𝛽15 is equal to (1) -512 (2) 128 (3) 512 (4) -256

Q61.Let p, q ∈ Q . If 2 −√3 is a root of the quadratic equation x2 + px + q = 0, then (1) p2–4q + 12 = 0 (2) q2 + 4p + 14 = 0 (3) p2–4q–12 = 0 (4) q2–4p–16 = 0

Q61.If three distinct numbers 𝑎, 𝑏, 𝑐 are in G.P. and the equations 𝑎𝑥2 + 2𝑏𝑥+ 𝑐= 0 and 𝑑𝑥2 + 2𝑒𝑥+ 𝑓= 0 have a common root, then which one of the following statements is correct? (1) 𝑑 𝑒 𝑓 are in A.P. (2) 𝑑, 𝑒, 𝑓 are in A.P. 𝑎, 𝑏, 𝑐 (3) 𝑑, 𝑒, 𝑓 are in G.P. (4) 𝑑 𝑒 𝑓 are in G.P. 𝑎, 𝑏, 𝑐

Q61.The number of all possible positive integral value of α for which the roots of the quadratic equation 6x2 −11x + α = 0 are rational numbers is: (1) 5 (2) 3 (3) 4 (4) 2

Q61.If one real root of the quadratic equation 81x2 + kx + 256 = 0 is cube of the other root, then a value of k is : (1) -81 (2) 100 (3) 144 (4) -300 where x and y are real numbers then y −x equals

Q61.The number of integral values of m for which the quadratic expression (1 + 2m) x2 −2(1 + 3m)x + 4(1 + m), x ∈R is always positive, is (1) 7 (2) 3 (3) 6 (4) 8

Q61.If α, β and γ are three consecutive terms of a non-constant G.P. Such that the equations αx2 + 2βx + γ = 0 and x2 + x −1 = 0 have a common root, then α(β + γ) is equal to: (1) βγ (2) αβ (3) αγ (4) 0

Q61.The sum of the solutions of the equation √𝑥- 2 + √𝑥√𝑥- 4 + 2 = 0, 𝑥> 0 is equal to (1) 10 (2) 9 (3) 12 (4) 4 JEE Main 2019 (08 Apr Shift 1) JEE Main Previous Year Paper

Q62.If 𝛼 and 𝛽 be the roots of the equation 𝑥2 - 2𝑥+ 2 = 0, then the least value of 𝑛 for which 𝛼 𝑛= 1 is 𝛽 (1) 5 (2) 4 (3) 2 (4) 3

Q62.If z z α (α ∈R) is a purely imaginary number and |z| = 2, then a value of α is : + (1) 1 (2) 12 (3) √2 (4) 2