WBJEE JELET 2025 – Full Syllabus Mock Test 1

WBJEE JELET 2025 – Full Syllabus Mock Test 1

1. The derivative of sin(x) is:
   • −cos(x)
   • ✅ cos(x)
   • tan(x)
   • sec(x)
2. Ohm's Law is given by:
   • ✅ V = IR
   • V = I + R
   • R = VI
   • I = VR
3. Which of the following is a noble gas?
   • Oxygen
   • Nitrogen
   • ✅ Argon
   • Hydrogen
4. Kirchhoff’s First Law is related to:
   • Voltage
   • Power
   • ✅ Current
   • Resistance
5. Binary equivalent of decimal 8 is:
   • ✅ 1000
   • 0100
   • 0010
   • 1010
6. SI unit of capacitance is:
   • Ohm
   • Henry
   • ✅ Farad
   • Watt
7. In a DC circuit, power is given by:
   • ✅ VI
   • IR
   • V/R
   • I²R
8. The Laplace transform of e^at is:
   • 1/s
   • ✅ 1/(s - a)
   • s/(s² + a²)
   • 1/(s + a)
9. The charge of an electron is:
   • ✅ 1.6 × 10⁻¹⁹ C
   • 9.1 × 10⁻³¹ C
   • 1.6 × 10⁻¹⁹ J
   • 3.2 × 10⁻¹⁹ C
10. In a series RLC circuit, resonance occurs when:
    • ✅ X_L = X_C
    • X_L = R
    • X_C = 0
    • X_L = 0
11. Main ore of Aluminium:
    • ✅ Bauxite
    • Galena
    • Hematite
    • Magnetite
12. Which gate produces output 1 only when all inputs are 1?
    • OR
    • ✅ AND
    • NAND
    • NOR
13. SI unit of magnetic field:
    • Henry
    • ✅ Tesla
    • Weber
    • Ampere
14. Which material is used in P-type semiconductors?
    • Phosphorus
    • Arsenic
    • ✅ Boron
    • Antimony
15. The integration of 1/x dx is:
    • ✅ ln|x| + C
    • x + C
    • 1/x + C
    • x² + C
16. Power factor of a pure resistive circuit is:
    • 0
    • 0.5
    • ✅ 1
    • −1
17. Frequency is the reciprocal of:
    • Resistance
    • ✅ Time
    • Capacitance
    • Voltage
18. Coulomb’s law is applicable to:
    • Magnetic charges
    • ✅ Electric charges
    • Moving charges
    • Conductors only
19. 1 byte =
    • ✅ 8 bits
    • 4 bits
    • 2 bits
    • 16 bits
20. Which is a scalar quantity?
    • Force
    • Velocity
    • Acceleration
    • ✅ Work
21. NAND gate is equivalent to:
    • ✅ AND + NOT
    • OR + NOT
    • NOT + NOT
    • NOR + NOT
22. RMS value of sinusoidal current:
    • I_m
    • I_m/2
    • ✅ I_m/√2
    • I_m²
23. Voltage in an open circuit is:
    • Zero
    • Infinity
    • ✅ Maximum
    • Unmeasurable
24. The most electronegative element:
    • Oxygen
    • ✅ Fluorine
    • Chlorine
    • Bromine
25. Kirchhoff’s Voltage Law states:
    • Current entering a junction = 0
    • ✅ Sum of EMF = Sum of potential drops
    • Voltage across capacitor = constant
    • Current in inductor = zero
26. Derivative of tan(x):
    • ✅ sec²(x)
    • cos²(x)
    • sec(x)tan(x)
    • −sec²(x)
27. In Boolean Algebra, A + A = ?
    • ✅ A
    • 1
    • 0
    • A'
28. Power in resistive AC circuit:
    • Zero
    • Maximum
    • ✅ Same as DC
    • Depends on frequency
29. The base of natural logarithm is:
    • 2
    • 10
    • ✅ e
    • ln
30. Valence electrons in Carbon:
    • 2
    • ✅ 4
    • 6
    • 8
31. Unit of frequency:
    • Newton
    • Pascal
    • ✅ Hertz
    • Ohm
32. Thevenin’s theorem is used to:
    • Increase voltage
    • ✅ Simplify circuits
    • Measure resistance
    • Generate power
33. Energy stored in capacitor:
    • ✅ (1/2)CV²
    • CV
    • (1/2)LI²
    • V²/C
34. A 2-input XOR gate output is 1 when:
    • Both inputs are 1
    • Both are 0
    • ✅ Inputs are different
    • Inputs are same
35. Ideal voltage source has:
    • Infinite resistance
    • ✅ Zero resistance
    • Constant current
    • No voltage
36. A good conductor has:
    • High resistance
    • High resistivity
    • ✅ Low resistance
    • High impedance
37. The sum of angles in a triangle:
    • ✅ 180°
    • 360°
    • 90°
    • 270°
38. Which is NOT a logic gate?
    • AND
    • OR
    • NAND
    • ✅ NORBIT
39. A function with only one output for each input:
    • Relation
    • Equation
    • ✅ Function
    • Identity
40. Lenz’s law relates to:
    • Resistance
    • Inductance
    • ✅ Back EMF
    • Capacitance
41. Inverse Laplace of 1/s²:
    • 1
    • ✅ t
    • e^−st
    • t²
42. Which is not a semiconductor?
    • Silicon
    • Germanium
    • Carbon
    • ✅ Copper
43. Logarithm of 1:
    • ✅ 0
    • 1
    • Undefined
    • ∞
44. Value of tan(45°):
    • ✅ 1
    • 0
    • ∞
    • Undefined
45. When light passes from glass to air:
    • ✅ Speeds up
    • Slows down
    • Stops
    • Unchanged
46. Voltage is measured by:
    • Ammeter
    • ✅ Voltmeter
    • Wattmeter
    • Multimeter
47. Integration of 0:
    • 0
    • 1
    • ✅ C (constant)
    • Undefined
48. NOT gate has how many inputs?
    • 2
    • ✅ 1
    • 3
    • 0
49. Function f(x) = x² is:
    • Linear
    • ✅ Quadratic
    • Cubic
    • Logarithmic
50. Energy unit used in electricity bills:
    • Joule
    • ✅ kWh
    • Calorie
    • Volt