LU B.Sc Entrance Previous Year Question Paper Pattern – Model Paper Set 2 (2027) with Answers

📌 Note: Ye LUUPDATE expert team ka banaya model paper (practice set) hai, jo LU entrance ke syllabus aur pattern par based hai. Official LU previous year paper nahi hai. Detailed syllabus: LU B.Sc Entrance 2027 syllabus & pattern · Syllabus PDF

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Q1. If A is a skew-symmetric matrix, then A² is

1. (A) Unitary matrix / Unitary matrix
2. (B) Null matrix / Null matrix
3. (C) Symmetric / Symmetric
4. (D) Skew / Skew

Q2. Inner product spaces over the field of complex numbers are sometimes to as ?
Inner product spaces over the field of complex numbers are sometimes to as ?

1. (A) unitary space / unitary space
2. (B) abstract vector space / abstract vector space
3. (C) real vector space / real vector space
4. (D) vector space / vector space

Q3. How many cards must be picked from a standard pack of 52 cards to be sure of getting 2 cards of the same suit?

1. (A) 5 / 5
2. (B) 2 / 2 : 1
3. (C) 3 / 3 : 1
4. (D) 4 / 4 : 1

Q4. Which of the following metric space is not complete?
Which of the following metric space is not complete?

1. (A) set of irrationals / set of irrationals
2. (B) set of real numbers / set of real numbers
3. (C) set of complex numbers / set of complex numbers
4. (D) set of rationals / set of rationals

Q5. The number of factors and their sum of 360 are ?
The number of factors and their sum of 360 are ?

1. (A) 24 & 1080 / 24 & 1080
2. (B) 12 & 540 / 12 & 540
3. (C) 12 & 810 / 12 & 810
4. (D) 24 & 1170 / 24 & 1170

Q6. The measure of the central tendency is given by the X-coordinate of the point of intersection of the more than ogive and less than ogive is ?
The measure of the central tendency is given by the X-coordinate of the point of intersection of the more than ogive and less than ogive is ?

1. (A) Mean / Mean
2. (B) All the above / All the above
3. (C) Median / Median
4. (D) Mode / Mode

Q7. The rank of a matrix in echelon form is equal to ?
The rank of a matrix in echelon form is equal to ?

1. (A) Order of matrix / Order of matrix
2. (B) Number of zero rows of the matrix / Number of zero rows of the matrix
3. (C) Number of variables / Number of variables
4. (D) Number of non zero rows of the matrix / Number of non zero rows of the matrix

Q8. How many diagonals are there in polygon of 15 sides?
How many diagonals are there in polygon of 15 sides?

1. (A) 105 / 10.5%
2. (B) 90 / 90
3. (C) 120 / 120
4. (D) 135 / 135

Q9. If we are given two overlapping sets A and B in metric space then what can we say about d(A, B)?
If we are given two overlapping sets A and B in metric space then what can we say about d(A, B)?

1. (A) doesn't exist / doesn't exist
2. (B) ∞ / ∞
3. (C) zero / शून्य
4. (D) finite / finite

Q10. Which function defined on R by f(x) = x for every x in R, is continuous in R?
Which function defined on R by f(x) = x for every x in R, is continuous in R?

1. (A) Constant function / Constant function
2. (B) Dirichlet function / Dirichlet function
3. (C) Riemann function / Riemann function
4. (D) Identity function / Identity function

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Q11. In a moderately asymmetrical distribution, mode = 125 km and mean = 130.7 km. The median is

1. (A) 128.8 km / 128.8 km
2. (B) 124.8 m / 124.8 m
3. (C) 129.7 m / 129.7 m
4. (D) 128.8 m / 128.8 m

Q12. The line integrals can be converted to surface integral using …… in multiple connected domain?
The line integrals can be converted to surface integral using …… in multiple connected domain?

1. (A) Riemann equation / Riemann equation
2. (B) Baire's Sandwich theorem / Baire's Sandwich theorem
3. (C) Green's theorem / Green's theorem
4. (D) Sandwich theorem / Sandwich theorem

Q13. The sum of the series 5 + 8 + 11 + … + 50 is

1. (A) 244 / 244
2. (B) 440 / 440
3. (C) 442 / 442
4. (D) 435 / 435

Q14. How many subgroups of the permutation group S⁴ have of order 3?
How many subgroups of the permutation group S⁴ have of order 3?

1. (A) can not say / can not say
2. (B) 0 / 0
3. (C) 4 / 4 : 1
4. (D) 8 / 8

Q15. If f(z) = u+iv is an analytic function in domain D then?
If f(z) = u+iv is an analytic function in domain D then?

1. (A) u and v bipolarate each other / u and v bipolarate each other
2. (B) u and v form orthogonal family / u and v form orthogonal family
3. (C) u and v are parallel / u and v are parallel
4. (D) u and v intersect each othe / u and v intersect each othe

Q16. Among any 11 integers, how many must leave the same remainder when divided by 10?

1. (A) atmost 5 / atmost 5
2. (B) exactly 3 / exactly 3
3. (C) atleast 5 / atleast 5
4. (D) atleast 2 / atleast 2

Q17. Which theorem states that" An integral function attains every finite value with at-most one possible exception?
Which theorem states that" An integral function attains every finite value with at-most one possible exception?

1. (A) Jensen's inequality / Jensen's inequality
2. (B) Jensen's formula / Jensen's formula
3. (C) Schwartz' lemma / Schwartz' lemma
4. (D) Picard's theorem / Picard's theorem

Q18. In how many ways can the letters of the word "DELHI" be arranged?

1. (A) 120
2. (B) 125
3. (C) 60
4. (D) 121

Q19. The product of the roots of x² – 2x – 24 = 0 is

1. (A) -24
2. (B) 2
3. (C) 24
4. (D) -22

Q20. The distance between (-2, 1) and (4, 9) is

1. (A) 14
2. (B) 10
3. (C) 12
4. (D) 2

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Q21. The sum of the roots of x² – 6x + 5 = 0 is

1. (A) 5
2. (B) 6
3. (C) -6
4. (D) 7

Q22. The number of subsets of a set with 3 elements is

1. (A) 6
2. (B) 8
3. (C) 9
4. (D) 7

Q23. Two fair dice are thrown. The probability of getting a sum of 7 is

1. (A) 1/12
2. (B) 7/36
3. (C) 1/2
4. (D) 1/6

Q24. The sum of the first 25 natural numbers is

1. (A) 325
2. (B) 312
3. (C) 300
4. (D) 650

Q25. The value of ⁿCᵣ for n = 6, r = 3 is

1. (A) 15
2. (B) 26
3. (C) 120
4. (D) 20

Q26. The binary equivalent of the decimal number 58 is

1. (A) 111100
2. (B) 111011
3. (C) 111010
4. (D) 111001

Q27. The value of ∫₀^3 4x^3 dx is

1. (A) 81
2. (B) 108
3. (C) 82
4. (D) 81/2

Q28. The value of cos 60° is

1. (A) 0
2. (B) 1
3. (C) 1/2
4. (D) √3/2

Q29. The modulus of the complex number 5 + 12i is

1. (A) 13
2. (B) 60
3. (C) 17
4. (D) 7

Q30. If f(x) = 5x^2, then f′(2) equals

1. (A) 20
2. (B) 40
3. (C) 25
4. (D) 21

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Q31. The value of the determinant |-1 -4; 6 7| is

1. (A) -38
2. (B) -31
3. (C) 6
4. (D) 17

Q32. The value of log base 10 of 1000 is

1. (A) 3
2. (B) 4
3. (C) 30
4. (D) 2

Q33. The slope of the line joining (0, 3) and (6, 9) is

1. (A) -1
2. (B) 1XXX
3. (C) 2
4. (D) 1

Q34. The value of lim (x→5) (x² − 25) / (x − 5) is

1. (A) 0
2. (B) 25
3. (C) 5
4. (D) 10

Q35. The 12th term of the AP 3, 6, 9, … is

1. (A) 37
2. (B) 36
3. (C) 33
4. (D) 39

Q36. If n(A) = 45, n(B) = 39 and n(A ∩ B) = 16, then n(A ∪ B) is

1. (A) 52
2. (B) 68
3. (C) 84
4. (D) 100

Q37. In how many ways can the letters of the word "DELHI" be arranged?

1. (A) 121
2. (B) 125
3. (C) 60
4. (D) 120

Q38. The product of the roots of x² + x – 20 = 0 is

1. (A) -18
2. (B) 20
3. (C) -1
4. (D) -20

Q39. The distance between (2, -1) and (10, 14) is

1. (A) 7
2. (B) 23
3. (C) 19
4. (D) 17

Q40. The sum of the roots of x² – 5x + 4 = 0 is

1. (A) 4
2. (B) 5
3. (C) -5
4. (D) 6

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Q41. Formula Volt × Charge/Time (V×Q/T) can be equivalent to ?
Formula Volt × Charge/Time (V×Q/T) can be equivalent to ?

1. (A) Power / Power
2. (B) Work done / Work done
3. (C) Acceleration / Acceleration
4. (D) Velocity / Velocity

Q42. The same retarding force is applied to stop a train. If the speed is doubled, then the distance will be ?
The same retarding force is applied to stop a train. If the speed is doubled, then the distance will be ?

1. (A) doubled / doubled
2. (B) four times / four times
3. (C) The same / The same
4. (D) half / half

Q43. If the density of aluminium is 2600 and its Young modulus is 7.8 × 1010 N/m², the speed of sound in aluminium will be ?
If the density of aluminium is 2600 and its Young modulus is 7.8 × 1010 N/m², the speed of sound in aluminium will be ?

1. (A) 340 m/s / 340 m/s
2. (B) 5477 m/s / 5477 m/s
3. (C) 3000 m/s / 3000 m/s
4. (D) 6431 m/s / 6431 m/s

Q44. A system in contact with a heat reservoir can most suitably be represented by ?
A system in contact with a heat reservoir can most suitably be represented by ?

1. (A) Grand canonical ensemble / Grand canonical ensemble
2. (B) Canonical ensemble / Canonical ensemble
3. (C) Micro canonical ensemble / Micro canonical ensemble
4. (D) Coulomb ensemble / Coulomb ensemble

Q45. A zone plate is to be constructed with focal length of 50cm forλ= 5.0×10-5cm. Its first radius will be ?
A zone plate is to be constructed with focal length of 50cm forλ= 5.0×10-5cm. Its first radius will be ?

1. (A) 0.50 mm / 0.50 mm
2. (B) 0.60 mm / 0.60 mm
3. (C) 0.40 mm / 0.40 mm
4. (D) 0.75 mm / 0.75 mm

Q46. The velocity of flow of water in a horizontal pipe is 5.0 m/sec. The velocity head of water is (g = 10 m/sec²) ?
The velocity of flow of water in a horizontal pipe is 5.0 m/sec. The velocity head of water is (g = 10 m/sec²) ?

1. (A) 1.25 m/sec² / 1.25 m/sec²
2. (B) 1.25 m / 1.25 m
3. (C) 2 m / 2 m
4. (D) 2 m/sec² / 2 m/sec²

Q47. The population inversion between energy states in a Ruby laser is achieved through ?
The population inversion between energy states in a Ruby laser is achieved through ?

1. (A) optical pumping / optical pumping
2. (B) lowering of temperature / lowering of temperature
3. (C) raising of temperature / raising of temperature
4. (D) vacuum pumping / vacuum pumping

Q48. Gibbs paradox in Statistical Mechanics is related to the additive property of ?
Gibbs paradox in Statistical Mechanics is related to the additive property of ?

1. (A) Energy / Energy
2. (B) Temperature / ताप
3. (C) Momentum / Momentum
4. (D) Entropy / Entropy

Q49. Three 6 Ω resistors connected in parallel give an equivalent resistance of

1. (A) 18 Ω
2. (B) 6 Ω
3. (C) 3 Ω
4. (D) 2 Ω

Q50. The power of a lens of focal length +50 cm is

1. (A) +0.5 D
2. (B) −2 D
3. (C) +2 D
4. (D) +5 D

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Q51. Which colour of visible light has the longest wavelength?

1. (A) Blue
2. (B) Green
3. (C) Violet
4. (D) Red

Q52. The phenomenon responsible for the blue colour of the sky is

1. (A) Refraction
2. (B) Reflection
3. (C) Dispersion
4. (D) Scattering of light

Q53. Total internal reflection occurs when light travels from

1. (A) Rarer to denser medium
2. (B) Denser to rarer medium at angle > critical angle
3. (C) Any medium at any angle
4. (D) Vacuum to glass

Q54. The SI unit of magnetic field (B) is

1. (A) Gauss
2. (B) Tesla
3. (C) Henry
4. (D) Weber

Q55. Photoelectric effect supports the

1. (A) Wave nature of light
2. (B) Transverse nature of light
3. (C) Particle nature of light
4. (D) Longitudinal nature of light

Q56. The experiment that confirmed the wave nature of electrons is

1. (A) Davisson–Germer
2. (B) Millikan oil drop
3. (C) Rutherford scattering
4. (D) Michelson–Morley

Q57. The half-life of a radioactive sample is 10 days. Fraction left after 30 days is

1. (A) 1/3
2. (B) 1/4
3. (C) 1/6
4. (D) 1/8

Q58. A p-type semiconductor is obtained by doping silicon with

1. (A) Arsenic
2. (B) Phosphorus
3. (C) Boron
4. (D) Antimony

Q59. Kinetic energy of a body of mass 2 kg moving at 3 m/s is

1. (A) 9 J
2. (B) 18 J
3. (C) 6 J
4. (D) 3 J

Q60. The work done by a centripetal force in uniform circular motion is

1. (A) Maximum
2. (B) Negative
3. (C) Zero
4. (D) Equal to KE

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Q61. Which one of the following is used as a negative catalyst for the decomposition of hydrogen peroxide?
हाइड्रोजन परॉक्साइड के अपघटन हेतु ऋणात्मक उत्प्रेरक के रूप में क्या प्रयुक्त होता है ?

1. (A) oxalic acid / ऑक्ज़ैलिक अम्ल
2. (B) platinum / प्लैटिनम
3. (C) sodium carbonate / सोडियम कार्बोनेट
4. (D) acetanilide / एसीटानिलाइड

Q62. The unit cell present in ABCABC…… closest packing of atoms, is of the type ABCABC ?
ABCABC… निविड संकुलन में इकाई कोष्ठिका किस प्रकार की होती है ?

1. (A) face-centered cube / फलक-केंद्रित घन
2. (B) tetragonal / चतुष्कोणीय
3. (C) primitive cube / आद्य घन
4. (D) hexagonal / षट्कोणीय

Q63. Which of the following compounds reacts with conjugated diene to form cyclohexene?
निम्नलिखित में कौन संयुग्मित डाईन से अभिक्रिया कर साइक्लोहेक्सीन बनाता है ?

1. (A) 1,3,5-hextriene / 1,3,5-हेक्साट्राईन
2. (B) Bromo benzene / ब्रोमोबेन्जीन
3. (C) Dienophile / डाइनोफाइल
4. (D) Hexane / हेक्सेन

Q64. Which of the following is not an antibiotic?
निम्नलिखित में कौन प्रतिजैविक (antibiotic) नहीं है ?

1. (A) Oflaxins / ऑफ्लॉक्सासिन
2. (B) Ranitidine / रैनिटिडीन
3. (C) Tetracyclins / टेट्रासाइक्लिन
4. (D) Cefixime / सेफिक्साइम

Q65. Galvanized iron is obtained by coating iron with a thin film of

1. (A) Sn / Sn
2. (B) Al / AlCl3
3. (C) Cu / Cu
4. (D) Zn / Zn

Q66. In Buckminster-fullerene (C-60), all carbon atoms ?
बकमिंस्टर-फुलरीन (C-60) में सभी कार्बन परमाणु कैसे होते हैं ?

1. (A) sp2-hybridized with a diamond-like shape / हीरे जैसी आकृति के साथ sp2-संकरित
2. (B) sp3-hybridized with a square antiprism shape / वर्ग प्रतिप्रिज्म के साथ sp3-संकरित
3. (C) sp2-hybridized with a truncated icosahedron shape / सत्यखंडित विंशतिफलक आकार के साथ sp2-संकरित
4. (D) sp2-hybridized with a graphite-like shape / ग्रेफाइट जैसी आकृति के साथ sp2-संकरित

Q67. The v-shaped graph represents conductometric titration of : Jeer-Deeke ?
V-आकार ग्राफ किस चालकतामापी अनुमापन को दर्शाता है ?

1. (A) Strong acid & weak acid vs weak base / प्रबल व दुर्बल अम्ल बनाम दुर्बल क्षार
2. (B) Strong acid vs strong base / प्रबल अम्ल बनाम प्रबल क्षार
3. (C) Strong acid vs weak base / प्रबल अम्ल बनाम दुर्बल क्षार
4. (D) Weak acid vs weak base / दुर्बल अम्ल बनाम दुर्बल क्षार

Q68. Which of the following is not a polymorph of calcium carbonate?
निम्नलिखित में कौन कैल्शियम कार्बोनेट का बहुरूप (polymorph) नहीं है ?

1. (A) Perovskite / पेरोव्स्काइट
2. (B) Aragonite / अरागोनाइट
3. (C) Vaterite / वैटेराइट
4. (D) Calcite / कैल्साइट

Q69. Allene must have which type of hybridization?
एलीन (Allene) में किस प्रकार का संकरण होता है ?

1. (A) Sp2 / sp²
2. (B) Sp3 / sp³
3. (C) Sp3d / sp3d
4. (D) Sp / sp

Q70. Hydrogen is predicted to exits naturally in metallic state ?
हाइड्रोजन के प्राकृतिक रूप से धात्विक अवस्था में होने का अनुमान किस दशा में है ?

1. (A) Extremely high pressure / अत्यधिक उच्च दाब
2. (B) Extremely high temperature / अत्यधिक उच्च ताप
3. (C) Room temperature / कमरे का ताप
4. (D) Extremely low pressure / अत्यधिक निम्न दाब

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Q71. The ratio of the masses of oxygen that are combined with one gram of nitrogen in the compounds N O and NO is 3 : 2. 2 3 This statement is correct as per which law?
N2O3 व NO में एक ग्राम नाइट्रोजन से संयुक्त ऑक्सीजन के द्रव्यमान का अनुपात 3:2 है — यह किस नियम के अनुसार है ?

1. (A) Law of definite proportions / निश्चित अनुपात नियम
2. (B) Law of conservation of mass / द्रव्यमान संरक्षण नियम
3. (C) Gay Lussac's law of gaseous volumes / गे-लुसाक नियम
4. (D) Law of multiple proportions / गुणित अनुपात नियम

Q72. In which of the following molecules, intermolecular hydrogen bonding is possible?
निम्नलिखित में किस अणु में अंतराण्विक हाइड्रोजन बंधन संभव है ?

1. (A) N-Methylaniline / N-मिथाइलएनिलीन
2. (B) Nitrobenzene / नाइट्रोबेन्जीन
3. (C) N,N-Dimethylaniline / N,N-डाइमिथाइलएनिलीन
4. (D) Trimethylamine / ट्राइमिथाइलऐमीन

Q73. Eka-aluminium and Eka-silicon (predicted by Mendeleev) are, respectively,

1. (A) Gallium and Germanium / गैलियम व जर्मेनियम
2. (B) Silicon and Aluminium / सिलिकॉन व ऐलुमिनियम
3. (C) Aluminium and Silicon / ऐलुमिनियम व सिलिकॉन
4. (D) Germanium and Gallium / जर्मेनियम व गैलियम

Q74. The coagulating power of an effective ion carrying the charge opposite to the sol particles has been illustrated ?
सॉल कणों के विपरीत आवेश वाले प्रभावी आयन की स्कंदन शक्ति किस नियम से समझाई जाती है ?

1. (A) Gold number / गोल्ड संख्या
2. (B) Hardy-schulze rule / हार्डी-शुल्ज़े नियम
3. (C) Brownian movement / ब्राउनी गति
4. (D) Tyndall effect / टिंडल प्रभाव

Q75. The bond angle in a water molecule is about

1. (A) 109.5°
2. (B) 104.5°
3. (C) 120°
4. (D) 180°

Q76. Which quantum number determines the shape of an orbital?

1. (A) Principal (n)
2. (B) Azimuthal (l)
3. (C) Spin (s)
4. (D) Magnetic (m)

Q77. The maximum number of electrons in the M shell (n = 3) is

1. (A) 32
2. (B) 2
3. (C) 8
4. (D) 18

Q78. Which element has the highest electronegativity?

1. (A) Oxygen
2. (B) Chlorine
3. (C) Nitrogen
4. (D) Fluorine

Q79. Across a period from left to right, atomic radius generally

1. (A) Decreases
2. (B) Stays the same
3. (C) Increases
4. (D) First increases then decreases

Q80. The IUPAC name of CH₃CH₂OH is

1. (A) Ethanol
2. (B) Methanol
3. (C) Propanol
4. (D) Ethanal

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Q81. The functional group –CHO represents

1. (A) Ketone
2. (B) Aldehyde
3. (C) Carboxylic acid
4. (D) Ester

Q82. The general formula of alkanes is

1. (A) CₙH₂ₙ
2. (B) CₙH₂ₙ₊₂
3. (C) CₙHₙ
4. (D) CₙH₂ₙ₋₂

Q83. Benzene undergoes mainly

1. (A) Elimination
2. (B) Electrophilic substitution
3. (C) Nucleophilic addition
4. (D) Free-radical addition

Q84. Which of these is an aromatic compound?

1. (A) Ethene
2. (B) Hexane
3. (C) Cyclohexane
4. (D) Benzene

Q85. Rate of a first-order reaction depends on

1. (A) Temperature only
2. (B) Nothing
3. (C) Concentration of one reactant to the first power
4. (D) Square of concentration

Q86. A computer monitor is also known by the name ?
A computer monitor is also known by the name ?

1. (A) CCTV / CCTV
2. (B) LED / LED
3. (C) CPU / CPU
4. (D) VDU / VDU

Q87. 10 nibbles are equal to how many bits?

1. (A) 60 / 60
2. (B) 80 / 80
3. (C) 40 / 40
4. (D) 20 / 20

Q88. An error in a computer is also knows as ?
An error in a computer is also knows as ?

1. (A) none of / none of
2. (B) bug / bug
3. (C) cursor / कर्सर
4. (D) debug / debug

Q89. Which of these is NOT a keyword used in C language?
Which of these is NOT a keyword used in C language?

1. (A) do / do
2. (B) myfile / myfile
3. (C) register / रजिस्टर
4. (D) case / case

Q90. Which of the following statements is used to make a selection from more than two choices?
दो से अधिक विकल्पों में से चयन हेतु कौन-सा कथन प्रयुक्त होता है ?

1. (A) if-else / if-else
2. (B) switch / switch
3. (C) None of these / इनमें कोई नहीं
4. (D) else-if / else-if

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Q91. Dynamic RAM (DRAM) is slower than Static RAM (SRAM) mainly because

1. (A) DRAM requires refreshing / DRAM requires refreshing
2. (B) DRAM uses flip / DRAM uses flip
3. (C) DRAM is cheaper / DRAM is cheaper
4. (D) DRAM is costlier / DRAM is costlier

Q92. Octal number system uses digits

1. (A) 0–9
2. (B) 0–7
3. (C) 1–8
4. (D) 0–8

Q93. Hexadecimal 'F' equals decimal

1. (A) 10
2. (B) 14
3. (C) 16
4. (D) 15

Q94. Which logic gate gives output 1 only when all inputs are 1?

1. (A) XOR
2. (B) OR
3. (C) AND
4. (D) NOR

Q95. Which gates are called universal gates?

1. (A) NAND and NOR
2. (B) NOT and AND
3. (C) AND and OR
4. (D) XOR and XNOR

Q96. There are 950 employees in an organisation and 28% got promoted. How many employees got promoted?

1. (A) 266 / 266
2. (B) 256 / 256
3. (C) 226 / 226
4. (D) 216 / 216

Q97. A man goes to a place at 40 km/h and returns at 60 km/h. Find his average speed for the whole journey.

1. (A) 52 km/h
2. (B) 50 km/h
3. (C) 45 km/h
4. (D) 48 km/h

Q98. The marked price of a jacket is ₹1000. Two successive discounts of 20% and 10% are given. Find the selling price.

1. (A) 680
2. (B) 720
3. (C) 770
4. (D) 700

Q99. A can finish a work in 12 days and B in 24 days. In how many days can they finish it working together?

1. (A) 7 days
2. (B) 10 days
3. (C) 18 days
4. (D) 8 days

Q100. The speed of a boat in still water is 10 km/h and the speed of the stream is 2 km/h. Find its downstream speed.

1. (A) 10 km/h
2. (B) 8 km/h
3. (C) 14 km/h
4. (D) 12 km/h

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