Welcome to your JEE FULL TEST (30.08.2025)
1) 9×4 V 2) 18×104 V3) 36×104 V 4) 36×10-4 V
1) 120 V2) Zero3) 12 V4) 1200 V
1). mg(1+π) 2). mg(1-π)3). mg/π 4). None of these
1). n³2). √n 3). n4). n²
1) 1 km2) 2 km3) 3 km4) 4 km
1) Decreases2). Increases3) May increase or decrease 4) Conserved
1) 12) 2 3) 1/24) 2/1
CHEMISTRY
26. The number of radial and angular nodes in 4p orbital are1) 2, 02) 2,1 3) 2 4) 1
1) 1.46 X 10 5 J/mol 2) 9.1 X 10 5 J/mol3) 9.85 X 10 5 J/mol 4) 1. 57 X 10 6 J/mol
1) 1.25 X 10-34 m 2) 3.01 X 10-34 m3) 5.27 x 10-30 m 4) 5.27 x 10-20 m
1) 5 2) 43) 14) 3
1) 82) 103) 184) 32
1) 1.1 X 10 -31 meters2) 1.1 X 10 -30 meters3) 1.1 X 10 -28 meters 4) 1.1 X 10 -33 meters
1) n=4, l= 3, m=0 2) n=4, l= 2, m= 13) n= 4, l= 4, m=1 4) n=4, l=0, m= 0
1) P2 > P3 > P1 2) P3 > P1 > P23) P2 > P1 > P3 4) P1 > P2 > P3
1) 336 mm of Hg 2) 350 mm of Hg3) 160 mm of Hg 4) 168 mm of Hg
1) 0.40K2) 0.60K3) 0.20K 4) 0.80K
1) 103oC 2) 101oC3) 100oC 4) 102oC
1) 1712) 205.23) 5704) 150
1) 12.9 g2) 9.6 g3) 8.5 g 4) 6.7 g
1) 2.24 L 2) 1.12 L3) 0.84 L4) 0.56 L
1) HF 2) H2F23) H3F3 4) H4F4
1) 28 2) 703) 354) 50
1) Phenol 2) aniline 3) cyclohexane4) Ethene
1) N2 2) NO3) NH3 4) NO2
MATHEMATICS
(Attempt only 25 questions)
51. f:R →R is defined by f(x) = x2 - 2x + 1. Find f(f(x))
1) x4 + 4x3 - 4x2 2) x4 - 4x3 + 4x23) x4 + 4x3 + 4x2 4) x4 - 4x3 - 4x2
Deselect Answer
53. Let ω1 be a point obtained by the rotation of z1=5+4i about the origin through a right angle in the anticlockwise direction, and ω2 be the point through a right angle in the clockwise direction. Then the principal argument ω1-ω2 is equal toDeselect Answer
54. A set S contains 3 elements, the number of which of the following sets is 256
1) S2) P(S)3) P(P(S)) 4) P(P(P(S)))
55. The value of for which the system of equations 2x-y+2z=2, x-2y+z=-4, x+y+λz=4 has no solution is
1) 0 2) 23) 4 4) 5
56. Let n(U)=700, n(A)=200, n(B)=300, n(A∩B)=100, then n(A'∩B') is equal to
1) 400 2) 6003) 300 4) None of these
57. Let A={1,2,3} and let R={(1,1),(2,2),(3,3),(1,3),(3,2),(1,2)}. Then R is
1) reflexive and symmetric but not reflexive2) reflexive and transitive but not symmetric3) symmetric and transitive but not reflexive4) an equivalence relation
1) (-1,1)2) {-1,1}3) (-∞,-1)4) (1,∞)
60. Let S={1,2,3}. The function f:S→S defined as below have inverse for
1) f={(1,2),(2,2),(3,3)}2) f={(1,2),(2,1),(3,1)}3) f={(1,3),(3,2),(2,1)}4) f={(1,3),(2,3),(2,1)}
61. The system of equations, +y+z=6, x+2y+3z=14, x+3y+5z=20 has
1) infinitely many solutions2) a unique solution3) only finitely many solutions4) no solution
62. Consider the following statements:
I: If A = {x: x is an even natural number} and B = {y: y is a natural number}, A subset B.II: Number of subsets for the given set A = {5, 6, 7, 8) is 15.III: Number of proper subsets for the given set A = {5, 6, 7, 8) is 15.Which of the following statement(s) is/are correct?1) I and II2) I and III3) II and III 4) None of the above
63. The region represented by {z=xiy∈C:|z|-Re(z)≤1} is also given by the inequality
1) y2≥2(x+1)2) y2≤2x+13) y2≤(x+1/2) 4) y2≥x+1
64. Let A = {1, 2, 3, …, 50} and R be the relation “is square of” on 𝐴. Then 𝑅 as a subset of A×A is written as:1) {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6), (7, 7)} 2) {(1, 1), (2, 5), (3, 9), (4, 15) (5, 25), (6, 36), (7, 49)} 3) {(1, 1), (4, 4), (9, 9), (16, 16) (25, 25), (36, 36), (49, 49)} 4) {(1, 1), (4, 2), (9, 3), (16, 4) (25, 5), (36, 6), (49, 7)}Deselect Answer
65. If f(0)=0, f(1)=1, f(2)=2 and f(x)=f(x-2)+f(x-3) for x=3, 4, 5, &.., then f(9)=
1) 122) 133) 14 4) 10
66. If A and B are two sets, then A∩(B-A) is:
1) A 2) ϕ3) B4) None of these
67. If A={1, 2, 3}, and B={3, 6} then the number of relations from A to B is
1) 322) 233) 244) 26
1) 52) 63) 84) 7
1) A∪P(A)=P(A) 2) A∩P(A)=A3) A-P(A)=A 4) P(A)-{A}=P(A)
72. The equation |z-i|=|z-1|, represents
1) a circle of radius 1/22) a circle of radius 13) the line through the origin with slope 14) none of these
1) identity matrix2) symmetric matrix3) skew symmetric matrix 4) none of these
78. Let A={1,2,3,4,5,6,7,8,9,10}. Then the number of subsets of A containing exactly two elements is
1) 452) 203) 35 4) 40
79. The smallest positive integer for which is is
1) n=8 2) n=163) n=124) n=4
1) k=72) k=-73) k=0 4) none of these
Drawing Test (For B. Achitecture students only)Answer any two.
1. You are a bird and you are flying above a city. Draw the view.2. Imagine you are inside a pencil box. Draw the view3. Imagine and draw a scene from a local cultural festival or fair4. Draw from memory your grandparents' face