Solution
Solution
9610WMD801490250004 MD
PHYSICS
1) Two cells each of same e.m.f. but of internal resistance r1 and r2 are joined to form a series circuit
through an external resistance R. Value of R in term of r1 and r2 for which cell 1 has zero p.d. across
it is :-
(1) R = r1 – r2
(2) R = r1 + r2
(3)
(4)
(1) There is no flow of current from galvano meter in the balanced condition
(2) If R1 is slightly increased, the current in galvanometer flows from D to B
(3) If R4 is slightly decreased, the current in galvanometer flows from D to B
(4) If R3 is slightly increased, the current in galvanometer flows from B to D
3) The temperature coefficient of resistance of a wire is 0.00125 per degree celcius. At 300 K its
resistance is 1 ohm. The resistance of the wire will be 2 ohms at a temperature :–
(1) 1154 K
(2) 1127 K
(3) 600 K
(4) 1400 K
4) Two cells A and B of emf 1.3 V and 1.5 V respectively are arranged as shown in figure. The
voltmeter reads 1.45 V. The voltmeter is assumed to be ideal. Then :-
(1) r1 = 2r2
(2) r1 = 3r2
(3) r2 = 2r1
(4) r2 = 3r1
(1) 50 V
(2) 80 V
(3) 100 V
(4) 1290 V
6) Two electric bulbs whose resistance are in the ratio of 1 : 2, are connected in series to a constant
voltage source. The power dissipated in them has the ratio :-
(1) 1 : 2
(2) 1 : 1
(3) 1 : 4
(4) 2 : 1
7) The Galvanometer G reads zero. If the battery A has negligible internal resistance the value of
resistance 'X' will be :-
(1) 200 Ω
(2) 50 Ω
(3) 500 Ω
(4) 100 Ω
8) For the circuit shown in figure, which one of the following equation is correct :-
(1) E1 – i2x + E2 + i1y = 0
(2) E1 – i2x – i1z = 0
(3) E2 + i2y – i2z = 0
(4) –E2 + (i1 + i2)z + i1y = 0
9) A ring is made of a wire having a resistance R0 = 15 Ω . Find the points A and B as shown in figure
at which a current carrying conductor should be connected so that the resistance R of the sub circuit
(1)
(2)
(3)
(4)
(1) 2 V
(2) 4 V
(3) 8 V
(4) 16 V
(2)
(3)
        R
(4) R
12) An infinite ladder network of resistance is constructed with 1Ω and 2Ω resistance. The 6V
battery between A and B has negligible internal resistance. The current that passes through 2Ω
(1) 1A
(2) 1.5 A
(3) 2 A
(4) 2.5 A
(1) 1µF
(2) 10 µF
(3) 50 µF
(4) 1.5
(1) 40 V, 0 V
(2) 50 V, 0 V
(3) 60 V, –40 V
(4) 40 V, –10 V
15) A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then
disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the
capacitor, is now inserted in it. Which of the following is incorrect ?
(2)
      The change in energy stored is
(3) The charge on the capacitor is not conserved.
(4) The potential difference between the plates decreases K times.
16) The magnetic field     due to a small current element       at a distance   and element carrying
current i is
(1)
(2)
(3)
(4)
17) The magnetic field due to a current carrying circular loop of radius 3 cm at a point on the axis at
a distance of 4 cm from the centre is 54 µT. What will be its value at the centre of the loop
(1) 250 µT
(2) 150 µT
(3) 125 µT
(4) 75 µT
18) A wire carrying current I has the shape as shown adjoining figure. Linear parts of the wire are
very long and parallel to X-axis while semicircular portion of radius R is lying Y-Z plane. Magnetic
field at point O is
(1)
(2)
(3)
(4)
19) A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y
plane and the other in x-z plane. If the current in the loop is i. The resultant magnetic field due to
the two semicircular parts at their common centre is
(1)
(2)
(3)
(4)
20) The distance at which the magnetic field on axis as compared to the magnetic field at the center
(1) R
(2)
(3) 2R
(4)
21) A coil having N turns carry a current I as shown in the figure. The magnetic field intensity at
point P is
(1)
(2)
(3)
(4) Zero
22) A wire carrying current I is shaped as shown. Section AB is a quarter circle of radius r. The
(1)
(2)
(3)
(4)
24) Magnetic field at a distance r from an infinitely long straight conductor carrying a steady current
varies as
(1) 1/r2
(2) 1/r
(3) 1/r3
      1/
(4)
25) A proton moves along vertical line and towards observer, the pattern of concentric circular field
lines of magnetic field which is produced due to its motion:
26) For an infinite long solid cylindrical current carrying conductor if magnetic field at a point P as
shown in figure is B0, then the magnetic field at point R will be (uniformly distributed current)
(1)
(2)
(3)
(4)
(2)
(3)
(4)
28) Two concentric coplanner coils of turns n1 and n2 have radii ratio 2 : 1 respectively. Equal
current in both the coils flows in opposite direction. If net magnetic field is zero at their common
centre then n1 : n2 is :-
(1) 2 : 1
(2) 1 : 2
(3) 1 : 1
(4) 4 : 1
29) Find magnetic field at point P due to current carrying wire as shown in figure.
(1)
(2)
(3)
(4)
30) A and B are two concentric circular conductors of centre O and carrying currents i1 and i2 as
shown in the adjacent figure. If ratio of their radii is 1 : 2 and ratio of the flux densities at O due to A
and B is 1 : 3, then the value of i1/i2 is
(1)
(2)
(3)
(4)
31) PQRS is a square loop made of uniform conducting wire the current enters the loop at P and
32) Two long straight wires are set parallel to each other. Each carries a current i in the same
direction and the separation between them is 2r. Magnetic field midway between them is
(1)
(2)
(3) Zero
(4)
33) The magnetic field intensity at the centre of cubical cage of identical wires of length 'a' due to a
(1)
(2)
(3) 0
(4) 1/2a
34) A circular coil of radius R carries an electric current. The magnetic field due the coil at a point
on the axis of the coil located at a distance r from the center of the coil, such that r >> R varies as :-
(1) 1/r
(2) 1/r3/2
(3) 1/r2
(4) 1/r3
(1)
(2)
(3)
(4) Zero
36) A charge +3C moves vertically downward with speed 4π m/s. Find magnitude of magnetic field
at point P.
(1)
(2)
(3)
(4)
37) A current i ampere flows in a circular arc of wire whose radius is R, which subtends an angle
(1)
(2)
(3)
(4)
38) A long, straight wire is turned into a loop of radius 10 cm (see figure) If a current of 8 amperes is
passed through the loop, then the value of the magnetic field and its direction at the centre C of the
39) Two straight long conductors AOB and COD are perpendicular to each other and carry currents
i1 and i2. The magnitude of the magnetic induction at a point P at a distance a from the point O in a
direction perpendicular to the plane ACBD is
(1)
(2)
(3)
(4)
40) Circular loop of a wire and a long straight wire carry currents Ic and Ie, respectively as shown in
figure. Assuming that these are placed in the same plane. The magnetic fields will be zero at the
(1)
(2)
(3)
(4)
41) Two symmetrical current carrying rings are placed perpendicular to each other with common
centre. If magnetic field at the centre due to one coil is B, then find net magnetic field.
(1)
(2) B
(3)
(4)
42) Current 'I' is flowing in a conductor shaped as shown in the figure. The radius of the curved part
is r and the length of straight portion is very large. The value of the magnetic field at the centre O
will be
(1)
(2)
(3)
(4)
43) A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ
= 3x, PR = 4x and QR = 5x. If the magnitude of the magnetic field at P due to this loop is k               ,
find the value of k.
(1) 8
(2) 3
(3) 7
(4) None of these
44) A square loop of side 'a' is made by a current carrying wire. Magnetic field at its vertex 'P' is :-
(1)
(2)
(3)
(4)
(2)
(3)
(4)
CHEMISTRY
(1) Vapour pressure observed will be the less than that calculated from Raoult's law
(2) Minimum boiling azeotrope will be formed
(3) ΔHmix < 0
(4) ΔVmix < 0
2) Which of the following physical properties is used to determine, the molecular mass of a polymer
solution?
3) In the case of osmosis net flow of solvent molecules move from solution having
(1) Glucose
(2) NaCl
(3) K2SO4
(4) K4Fe(CN)6
5) If α is the degree of dissociation of Na2SO4. The van't Hoff factor used for the calculation of
molecular mass is
(1) 1 + 2α
(2) 1 – 2α
(3) 1 + α
(4) 1 – α
6) An aqueous solution freezes at –0.36°C. Kf and Kb for water are 1.8 and 0.52 K kg mol–1
respectively then value of boiling point of solution at 1 atm pressure is
(1) 101.04°C
(2) 100.104°C
(3) 0.104°C
(4) 100°C
(1) 0.3 F
(2) 0.2 F
(3) 0.6 F
(4) 0.4 F
9) If limiting molar conductances of Ca+2 and Cl– ions are 119 and 76.3 Scm2 mol–1 respectively. The
limiting molar conductivity of CaCl2 is :-
10) Specific conductance of 0.1 M Nitric acid is 6.3 × 10–2 ohm–1 cm–1. The molar conductance of the
solution is :
(1)
(2)
(3)
(4) Zero
12) At equilibrium:
(1)
(2) Ecell = 0, ΔG = 0
(3) both are correct
(4) none is correct
13) Statement-I: Conductivity always increases with decrease in the concentration of electrolyte.
Statement-II: Molar conductivity always increases with decrease in the concentration of electrolyte
14) Assertion :- Conductivity always decreases with decrease in concentration of weak and strong
electrolyte.
Reason :- On dilution number of ions per unit volume linearly decreases in both weak and strong
electrolytes.
(1) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
(2) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
(3) Assertion is true but Reason is false
(4) Both Assertion and Reason are false
15) Which of the following solution of KCl has the maximum value of conductivity?
(1) 1M
(2) 0.1M
(3) 0.01M
(4) 0.001M
16) The common features among the species CN–, CO and NO+ are :
18) Which of the following ligand does not act as π-acid ligand ?
(1) CN¯
(2) CO
(3) C2H4
(4)
(1) +2
(2) +3
(3) +1
(4) 0
21) Find IUPAC name of the hydrate isomer of CrCl3.6H2O, which is having lowest electrical
conductivity.
(1) Hexaaquachromium(III)chloride
(2) Tetraaquadichloridochromium(III)chloridedihydrate
(3) Pentaaquachloridochromium(III)chloridemonohydrate
(4) Triaquatrichloridochromium(III)trihydrate
(1) Hexafluoroplatiate(VI)xenon
(2) Xenohexafluoroplatinate(V)
(3) Xenohexafluoroplatiate(VI)
(4) Xenoniumhexafluoroplatinum(V)
(1) [Cr(NH3)6]Cl3
(2) [Cr(NH3)5Cl]Cl2
(3) [Cr(NH3)4Cl2]Cl
(4) [Cr(NH3)3Cl3]
               2+
(1) [Ni(NH3)6]
              4–
(2) [Mn(CN)6]
               3+
(3) [Co(NH3)6]
             4–
(4) [Fe(CN)6]
28) The magnetic moment of [MnX4]2– is 5.9 BM. The geometry of the complex ion is :
(X = monodentate halide ion)
(1) tetrahedral
(2) square planar
(3) both are possible
(4) none of these
(1)
(2)
(3)
(4)
31) Which of the following complexes have a maximum number of unpaired electrons ?
(1) [Ni(CO)4]
                     +
(2) [Co(NH3)4(NO2)2]
              –
(3) [Ag(CN)2]
            2–
(4) [CuBr4]
(1) –7.2 Δ0
(2) –0.4 Δ0
(3) –2.4 Δ0
(4) –3.6 Δ0
35) Statement-1 :- Transition metal ion forming octahedral complexes undergo sp3d2 or d2sp3
hybridisation.
Statement-2 :- Strong field ligands force the unpaired electrons of central metal ion to pair up
causing d2sp3 hybridisation whereas weak field ligands do not after electronic configuration of the
metal ion undergoes in sp3d2 hybridisation.
Ligand Property
42) In the complex ion [Fe(EDTA)]– the coordination number (C.N.) and oxidation number (O.N.) of
central metal ion is :-
(1) C. N.= 6, O. N. = +3
(2) C.N. =1, O. N. = –1
(3) C. N. = 4, O. N. = +2
(4) C. N. = 3, O. N. = +3
(1) Ferrocene
(2) Chromocene
(3) Prussian blue
(4) Zeise's salt
(1) NO
       +
(2) NH4
(3) NH2CH2CH2NH2
(4) CO
BIOLOGY
(1) Typhoid
(2) Tuberculosis
(3) Ringworm
(4) Pneumonia
(1) Plasmodium
(2) Entamoeba
(3) Leishmania
(4) Trypanosoma
(1) Antibiotics
(2) Antihistamines
(3) Antivirals
(4) Interferons
(1) Bacteria
(2) Virus
(3) Protozoa
(4) Fungus
(1) Diabetes
(2) Cancer
(3) Common cold
(4) Hypertension
(1) B cells
(2) Cytotoxic-T cells
(3) Helper-T cells
(4) Plasma cells
(1) Vaccination
(2) Infection
(3) Injection of antibodies
(4) Exposure to antigens
(1) Typhoid
(2) Polio
(3) Tuberculosis
(4) Hepatitis
(1) Liver
(2) Bone
(3) Blood-forming tissues
(4) Skin
17) Cocaine is a:
(1) Depressant
(2) Stimulant
(3) Narcotic
(4) Hallucinogen
(1) Antibodies
(2) B cells
(3) T cells
(4) Plasma cells
(1) Malaria
(2) Typhoid
(3) HIV
(4) Tuberculosis
(1) Thymus
(2) Bone marrow
(3) Lymph node
(4) Liver
(1) Toxins
(2) Antibodies
(3) Attenuated microbes
(4) Plasma
(1) hepatitis B
(2) Syphilis
(3) AIDS
(4) Cancer
Column I          Column II
(Disease)         (Causative Agent)
A. Malaria        1. Salmonella typhi
B. Typhoid        2. Plasmodium falciparum
C. Filariasis     3. Wuchereria bancrofti
D. Pneumonia 4. Streptococcus pneumoniae
Options:
(1) A–2, B–1, C–3, D–4
(2) A–3, B–2, C–1, D–4
(3) A–4, B–3, C–2, D–1
(4) A–1, B–2, C–3, D–4
Column I      Column II
(Immune Cell) (Function)
A. B-lymphocytes 1. Antibody production
B. T-lymphocytes 2. Cell-mediated immunity
C. Macrophages 3. Phagocytosis
D. Mast cells        4. Release of histamine
Options:
(1) A–1, B–2, C–3, D–4
(2) A–2, B–1, C–4, D–3
(3) A–3, B–4, C–2, D–1
(4) A–4, B–3, C–1, D–2
          Column I                 Column II
          (Microbe)                (Product)
A. Saccharomyces cerevisiae 1. Citric acid
B. Trichoderma polysporum 2. Statins
C. Monascus purpureus            3. Ethanol
D. Aspergillus niger             4. Cyclosporin A
(1) A-3, B-4, C-2, D-1
(2) A-4, B-3, C-1, D-2
(3) A-1, B-2, C-3, D-4
(4) A-2, B-1, C-4, D-3
(1) Azospirillum
(2) Rhizobium
(3) Azolla
(4) Glomus
Column I          Column II
(Microbe)         (Use)
A. Rhizobium      1. Nitrogen fixation in legume roots
B. Azotobacter 2. Nitrogen fixation in free-living state
C. Azospirillum 3. Nitrogen fixation in cereal crops
D. Frankia        4. Nitrogen fixation in actinorhizal plants
(1) A-1, B-2, C-3, D-4
(2) A-2, B-1, C-4, D-3
(3) A-3, B-4, C-1, D-2
(4) A-4, B-3, C-2, D-1
37) Which microbe is used to ripen Swiss cheese and gives it its characteristic holes?
39) Which of the following is used in the production of statins (cholesterol-lowering agents)?
(1) Aspergillus
(2) Monascus purpureus
(3) Trichoderma
(4) Rhizopus stolonifer
         Column I                    Column II
       (Microbe/Use)             (Function/Product)
A. Bacillus thuringiensis       1. Insect pest control
B. Saccharomyces cerevisiae 2. Alcohol production
C. Methanobacterium             3. Biogas production
D. Penicillium notatum          4. Antibiotic production
(1) A–1, B–2, C–3, D–4
(2) A–2, B–1, C–4, D–3
(3) A–3, B–2, C–1, D–4
(4) A–4, B–3, C–2, D–1
(1) Rhizopus
(2) Saccharomyces cerevisiae
(3) Penicillium
(4) Bacillus subtilis
(1) 1, 2, 3
(2) 1, 3, 4
(3) 2, 3, 4
(4) 1, 2, 4
(1) Methanobacterium
(2) Monascus
(3) Floc-forming bacteria
(4) Trichoderma
(1) Rhizobium
(2) Frankia
(3) Azotobacter
(4) Anabaena in Azolla
(1) Mendel
(2) Darwin
(3) Bateson
(4) Johanssen
(1) 1 : 2 : 1
(2) 3 : 1
(3) 9 : 3 : 3 : 1
(4) 1 : 1
50) Which disease is caused due to a single recessive gene located on the X chromosome?
(1) Phenylketonuria
(2) Sickle-cell anaemia
(3) Haemophilia
(4) Down syndrome
51) In incomplete dominance, the F1 phenotype is:
52) In codominance:
53) The disorder caused by an autosomal recessive gene leading to abnormal haemoglobin is:
(1) Thalassemia
(2) Colour blindness
(3) Turner syndrome
(4) Klinefelter syndrome
55) If a man with blood group A marries a woman with blood group B, the possible blood groups of
offspring are:
(1) A, B
(2) A, B, AB
(3) A, B, AB, O
(4) AB only
(1) 44
(2) 45
(3) 47
(4) 46
58) The gene responsible for sex determination in humans is present on:
(1) Chromosome 1
(2) Autosomes
(3) Y chromosome
(4) Mitochondrial DNA
60) If both parents are carriers of thalassemia, what is the chance that their child is affected?
(1) 100%
(2) 25%
(3) 50%
(4) 0%
(1) 1, 3, 4
(2) 2, 3
(3) 1 and 2
(4) All of these
(1) 1 and 4
(2) 1, 2, 3
(3) 2 and 3
(4) All of these
63) Which statements are false?
1. Turner syndrome individuals have 46 chromosomes.
2. Klinefelter syndrome individuals are female.
3. Haemophilia is X-linked recessive.
4. XO females are sterile.
(1) 1 and 2
(2) 1 and 3
(3) 2 and 4
(4) 3 and 4
(1) 1, 2, 4
(2) 2 and 3
(3) 1 and 4
(4) All of these
(1) 1, 2, 3
(2) 1 and 2
(3) Only 3
(4) All of these
C Klinefelter Syndrome 3 XO
 D Normal Male               4 XY
(1) A–2, B–3, C–1, D–4
(2) A–3, B–2, C–1, D–4
(3) A–1, B–2, C–3, D–4
(4) A–2, B–1, C–4, D–3
 D Blood group O      4 ii
(1) A–1, B–2, C–3, D–4
(2) A–2, B–1, C–3, D–4
(3) A–1, B–2, C–4, D–3
(4) A–1, B–3, C–2, D–4
71) Assertion (A) : There are four genotypes of gametes RY, Ry, rY and ry each with a frequency of
25 per cent or 1/4th of the total gametes produced in F1 generation of dihybrid cross.
Reason (R) : During gametes formation, segregation of 50 per cent R and 50 per cent r is
independent from the segregation of 50 per cent Y and 50 per cent y.
In the light of the above statement, choose the correct answer from the option given below
72) From the statements given below choose the correct option :
A. Dependent pairs segregate independently of each other.
B. Segregate at the time of gamete formation such that only one of each pair is transmitted to a
gamete.
C. Chromosome occurs in pair but genes are unpaired in haploid organisms.
D. Occur in pairs in diploid organisms.
E. Chromosome are paired but genes are unpaired in diploid organisms.
Which statement/s is/are not applicable for both Chromosomes and Genes?
List 1 List 2
74) Assertion: (A) A carrier mother of haemophilia can pass the disorder to her son.
Reason: (R) Haemophilia is an autosomal recessive disorder.
75) Assertion (A) : Males are more frequently affected by X-linked disorders.
Reason (R) : They have only one X chromosome.
B Thalassemia 2 Trisomy 21
(1) XO
(2) XX
(3) XXY
(4) XYY
82) A couple, both with normal vision, have a son with colour blindness. Which parent is likely the
carrier?
(1) Father
(2) Mother
(3) Both (1) and (2)
(4) None of these
83) A couple has a daughter with Turner syndrome. What is the likely chromosomal composition?
(1) 46, XX
(2) 45, XO
(3) 47, XXX
(4) 46, XY
85) If a pedigree chart shows a trait skipping generations, it most likely represents:
86) Statement Ι : When many genes govern a character it is called polygenic inheritance.
 Statement ΙI : In polygenic inheritance, the effect of each allele is additive.
(1) Statement Ι : is true but II is false
(2) Statement Ι : is false but II is true
(3) Both Statement I & II are true
(4) Both Statement I & II are false
87)
In this given pedigree what is the mode of inheritance ?
90) Match the following columns and choose the incorrect match ?
      I            II
(1)
                  male
      I                  II
(2)
                    female
          I                    II
(3)
                   affected individual
              I                     II
(4)
                              consanguineous mating
                                                                     ANSWER KEYS
PHYSICS
 Q.         1          2         3        4     5     6     7        8          9     10        11     12     13     14     15    16   17    18    19    20
 A.         1          3         2        2     2     1     4        1          1     1          1      2     1      3      3     4     1     2     1     4
 Q.         21         22        23       24    25    26    27       28        29     30        31     32     33     34     35    36   37    38    39    40
 A.         1          2         3        2     1     1     1        1         2      1         2      3      3      4      4     3    4     2     3     1
 Q.         41         42        43       44    45
 A.         3          3         3        1     2
CHEMISTRY
 Q.         46         47        48       49    50    51    52        53        54        55     56     57     58     59    60    61    62    63   64    65
 A.         2          4         1        1     1     2     1         3         2         1      3      2      3      3     1     1     4     4    3     4
 Q.         66         67        68       69    70    71    72        73        74        75     76     77     78     79    80    81    82    83   84    85
 A.         2          2         1        3     3     1     2         1         3         1      4      2      3      2     3     4     3     1    2     4
 Q.         86         87        88       89    90
 A.         1          1         4        2     2
BIOLOGY
Q.    91         92         93       94    95   96    97        98        99        100        101    102    103    104    105   106   107   108   109   110
A.    3          1          2        2     2    3     3         3         3          3          3      4      1      3      3     3     2     3     3     3
Q.    111        112       113    114     115   116   117    118          119       120        121    122    123    124    125   126   127   128   129   130
A.     3          3         1      1       2     3     1      4            2         2          1      1      3      2      1     2     2     3     2     1
Q.    131        132       133    134     135   136   137    138          139       140        141    142    143    144    145   146   147   148   149   150
A.     2          2         3      2       3     4     2      3            3         3          3      3      1      3      3     3     3     3     2     2
Q.    151        152       153    154     155   156   157    158          159       160        161    162    163    164    165   166   167   168   169   170
A.     1          1         1      1       1     1     1      1            3         1          1      4      1      2      1     1     1     3     2     1
Q.    171        172       173    174     175   176   177    178          179       180
A.     3          2         2      2       2     3     2      1            1         2
                                             SOLUTIONS
PHYSICS
1)
Solution : Current,
    i.e.,
    i.e.,   R = r1 – r1
    Final Answer : (1) R = r1 – r2
2)
(1) Current B D
(2) Current B D
Solution : If Current B → D
As, and
    If R4 is slightly decreased
    ∴ Direction of Current in galvanometer is from B to D
    Final Answer : (3)
3)
          0
     2 = R [1 + α(T)] ⇒
   T = 854°C
T = 854 + 273 = 1127 K
Final Answer : (2) T = 1127K
Now, V = E2 – ir2
∴
Solving this equation, we get
       r1 = 3r2
Final Answer : (2) r1 = 3r2
(2)
(3) V = I Req
Solution : 100Ω, 25Ω and 20Ω are in parallel.
Their, net resistance is 10Ω
∴ Rnet = 4Ω + 10Ω + 6Ω = 20Ω
      V = i Rnet = 80 V
Final Answer : (2) V = 4 × 20 = 80v
6)
Solution :
  P1 = I2R
  P2 = I22R
∴
Final Answer : (1) P1 : P2 = R1 : R2 = 1: 2
7)
Solution :
If Ig = 0 than VA – VB = 4V
By potential divider rule
                ⇒ X = 100 Ω
Final Answer : (4) X =
9)
            Ask :       ,
Concept : This question is based on Key points:
(2)
Solution : As                and R1 + R2 = 15
         then R1R2 = 50
Now R2 – R1 =                           =                   =5
Hence ⇒ R2 = 10Ω and R1 = 5Ω
10)
Explaining : Given : Electric circuit with series and parallel combination of resistance.
             Ask : Potential Difference across
Concept : This question is based on Key points :
ii = (2A) = 1A
V1 = i, (2) = (1) (2) = 2V
Final Answer : (1) V = 2 Volt
11)
Req 2 =
Req =
Conclusion : The correct answer is option (1)
Solution : R = 1 +
2R + R2 = 2 + R + 2R
⇒ R2 – R – 2 = 0
R= = =2
i=    = = 3A
V1 = 3 × 1 = 3V
V2 = 6 – 3 = 3V
i2 = = = 1.5A
13)
(1) In series :
(2) In Parallel :
Solution : The given circuit can be redraws as follows
Final Answer : (1) CAB =
14)
(3)
Solution :
Q = Ceq V
Q= = 20 C
VA – 0 = 0 – VB =
                    and
   = 60 V                       VB = – 40 V
Final Answer : (3) VA = 60V, VB = – 40V
15)
(4)
Solution : Once the capacitor is charged, its charge will be constant Q = CV
When dielectric slab is inserted
E= ⇒ ENew = Einitial
V = so Vnew = V
Final Answer : (3)
17) Explaining : Magnetic field at the axis of a current carrying circular coil.
Solution :
              [where θ in radian]
Solution :    → Net magnetic field due to semi infinite wire
   → magnetic field due to semi circular wire
So,
Final Answer : (2)
19) Explaining : The resultant magnetic field due to the two semicircular parts at their
common centre is.
20) Explaining : The distance at which the magnetic field on axis as compared to the
magnetic field at the center of the coil carrying current I and radius R is , would be
Solution :
⇒ x2 + R2 = 4R2 ⇒ x =
Final Answer : (4)
21) Explaining : Magnetic field at the axis at any point due to current carrying circular coil.
Solution :
Magnetic field due to different parts are
B1 = 0
Final Answer : (3)
24) Explaining : Magnetic field at a distance r from an infinitely long straight conductor
carrying a steady current varies as
Solution :
Final Answer : (2)
Solution :
                As
So
Final Answer : (1)
28)
Explaining : Magnetic field due to concentric coplanner coils at their common centre.
Solution :
Magnetic field at centre is zero
B1 = B2
Given that
(I1 = I2, N1 : N2 = n1 : n2, R1 : R2 = 2 : 1)
⇒         ( I1 = I2) ⇒
Final Answer : (1)
29)
32) Explaining : Magnetic field between the midpoint of two current carrying parallel wires.
Since
So, Bnet = 0
34) Explaining : A circular coil of radius R carries an electric current. The magnetic field due
the coil at a point on the axis of the coil located at a distance r from the center of the coil, such
that r >> R varies as
Solution :
Final Answer : (4)
Solution :
Final Answer : (4)
B due to wire
Solution : At P :
Solution :
Final Answer : (1)
Solution : ⇒
⇒                  ⇒
Final Answer : (3)
Due to AC,
Due to AD, A is at the end of the wire, therefore at O,
∴ Total induction =
Final Answer : (3)
Solution :
Magnetic field at P due to PQ & PR is zero.
∴ Magnetic field at P due to QR
where,
∴ k = 7.
Final Answer : (3)
    44) Explaining : MF due to combination of wire.
    B3 =                         =
    Magnetic field due to wire (4)
    B4 =
    Net magnetic field due to wire (3) and (4) :-
    Bp = B3 + B4 =
    Final Answer : (1)
CHEMISTRY
46)
    Explaining : Correct statement given about the solution showing +ve deviation.
    Concept : This question is based on non ideal solution.
    Solution : Solution showing +ve deviation con forms minimum boiling azeotropic mixture.
    Final Answer : (2)
    47) Explaining : The molecular mass of a polymer solution can be determined by which
    physical property
    Concept : This question is based on colligative property
    Solution : Osmatic pressure is best method to determine the molecular mass of polymer
    solution
Final Answer : (4)
48)
49)
Solution :
          'i' is minimum for glucose so it has highest up
Final Answer : (1)
50)
Explaining : If α is the degree of dissociation of Na2SO4. The van't Hoff factor used for
calculation of molecular mass
Concept : This question is based on abnormal CP
Solution : i = 1 + (n – 1) α
           n = 3 for Na2SO4
           i = 1 + (3 – 1) α
           i = 1 + 2α
Final Answer : (1)
51) Explaining : Freezing point Kf and Kb of water are given then boiling point of solution at 1
atm pressure is
Concept : This question is based on colligative property
Solution :
52)
             =    × 0.0831 × 300
             = 2.49 bar
Final Answer : (1)
53)
54)
Explaining : The limiting molar conductance of Ca+2 and Cl– are given. Then the limiting
molar conductance of CaCl2 is asked
Concept : This question is based on calculation of limiting molar conductance
Solution : CaCl2 → Ca+2 + 2Cl–
                  = 119 + 2 × 76.3
         = 271.6 s cm2 mol–1
Final Answer : (2)
55)
Explaining : Specific conductance of 0.1 M Nitric acid is given and molar conductance of
solution is asked.
Concept : This question is based on the relation between Λm and κ
Solution : Λm =
           Λm = 630 ohm–1 cm2 mol–1
Final Answer : (1)
56)
Solution :
Final Answer : (3)
57)
58)
59)
60)
61) Explaining : Common features among the species CN–, CO and NO+
Concept : This question is based on CN–, CO and NO+ have bond order three and diamagnetic.
Solution : CN–, CO and NO+ have bond order three and diamagnetic.
Final Answer : (1)
Solution :
82)
83)
85)
86)
     (B) Hydrazine with only one donor site or site (Monodentate ligand)
(C) Dimethylgyloximato (dmg–) can form hydrogen bond
87) Explanation: In this question we have to find out CN and oxidation number of central
metal ion of given compound.
Concept : This question is based on oxidation number.
Solution :
In [Fe(EDTA)]– , the denticity of EDTA = 6
So the co-ordination number = 6
The change of EDTA = – 4
Let oxidation state of Fe is n
⇒ n – 4 = –1
n=+3
CN = 6, oxidation number = +3
Final Answer : (1)
90)
    Explaining : To identify the false statement among the provided options concerning the
    characteristics of coordination compounds.
    Concept : This question is based on understanding key definitions and properties of
    coordination compounds, including the roles of transition metals and ligands.
    Solution : Coordination compounds are primarily formed by transition metals.Ligands donate
    electron pairs to the central metal atom.
    A heteroleptic complex contains different types of ligands.
    However, the coordination number (number of bonds to the metal) and the oxidation state
    (formal charge on the metal) are generally not the same.
    Final Answer : (2)
BIOLOGY
91)
    Explaining :
    Concept :
    Solution : Ringworm is caused by fungi, not bacteria.
    Final Answer : (3)
92)
    Explaining :
    Concept :
    Solution : Malaria is caused by Plasmodium, a protozoan parasite transmitted by the female
    Anopheles mosquito.
    Final Answer : (1)
93)
    Explaining :
    Concept :
    Solution : Antihistamines counteract histamines released during allergic reactions.
    Final Answer : (2)
    94) Explaining :
Concept :
Solution : Only female Anopheles transmits the Plasmodium parasite.
Final Answer : (2)
95) Explaining :
Concept :
Solution : HIV (a retrovirus) causes AIDS.
Final Answer : (2)
96) Explaining :
Concept :
Solution : Early symptoms are mild and flu-like.
Final Answer : (3)
97) Explaining :
Concept :
Solution : Heroin (diacetylmorphine) is synthesized from morphine extracted from the opium
poppy.
Final Answer : (3)
98) Explaining :
Concept :
Solution : HIV infects T-helper cells, which leads to weakening the immune system.
Final Answer : (3)
99) Explaining :
Concept :
Solution : Passive immunity involves direct transfer of ready-made antibodies.
Final Answer : (3)
100) Explaining :
Concept :
Solution : BCG (Bacillus Calmette–Guérin) protects against TB.
Final Answer : (3)
101) Explaining :
Concept :
Solution : HIV is not transmitted by insects.
Final Answer : (3)
102) Explaining :
Concept :
Solution : Histamine causes multiple allergic responses.
Final Answer : (4)
103) Explaining :
Concept :
Solution : Cancer cells proliferate without regulation.
Final Answer : (1)
104) Explaining :
Concept :
Solution : Abnormal increase in WBCs.
Final Answer : (3)
105) Explaining :
Concept :
Solution : Characteristic of malignant tumors.
Final Answer : (3)
106) Explaining :
Concept :
Solution : Interferons are antiviral proteins.
Final Answer : (3)
107) Explaining :
Concept :
Solution : It stimulates the central nervous system.
Final Answer : (2)
108) Explaining :
Concept :
Solution : T cells destroy infected host cells directly.
Final Answer : (3)
109) Explaining :
Concept :
Solution : ELISA detects HIV antibodies or antigens.
Final Answer : (3)
110) Explaining :
Concept :
Solution : Secondary lymphoid organs initiate immune responses.
Final Answer : (3)
111) Explaining :
Concept :
Solution : These stimulate the immune system without causing disease.
Final Answer : (3)
       112) Explaining :
       Concept :
       Solution : National AIDS Control Organization.
       Final Answer : (3)
       113) Explaining :
       Concept :
       Solution :
       114) Explaining :
       Concept :
       Solution :
       115) Explaining :
       Concept :
       Solution : AIDS → through blood/sexual contact
       Malaria → mosquito bite
       Common cold → droplet infection (airborne)
       Ascariasis → fecal-oral route (contaminated food/water)
       Final Answer : (2)
       116) Explaining :
       Concept :
       Solution :
       117) Explaining :
       Concept :
       Solution : HIV (Human Immunodeficiency Virus) is a retrovirus with RNA as genetic material.
       It uses the reverse transcriptase enzyme to convert RNA into DNA, which integrates into the
       host genome. Thus, both assertion and reason are true, and reason explains the assertion
       correctly.
       Final Answer : (1)
       118) Explaining :
       Concept :
       Solution : Vaccination induces active immunity, not passive. In active immunity, the host’s
       immune system is stimulated to produce antibodies. Passive immunity involves direct transfer
       of pre-formed antibodies (e.g., anti-venom).
       Final Answer : (4)
       119) Explaining :
       Concept :
       Solution :
       120) Explaining :
       Concept :
       Solution :
       121) Explaining :
       Concept :
       Solution : Lactobacillus bacteria ferment lactose in milk to produce lactic acid, which lowers
       the pH and causes milk proteins to coagulate, forming curd.
       Final Answer : (1)
       122) Explaining :
       Concept :
       Solution :
       123)
       Explaining :
       Concept :
       Solution : Azolla is a water fern that forms a symbiotic relationship with nitrogen-fixing
       cyanobacteria, providing a natural source of nitrogen to paddy fields.
       Final Answer : (3)
       124) Explaining :
       Concept :
       Solution : Acetobacter aceti is a bacterium that oxidizes ethanol to acetic acid, the main
       component of vinegar.
       Final Answer : (2)
       125) Explaining :
       Concept :
       Solution :
       126) Explaining :
       Concept :
       Solution :
       Final Answer : (2)
       127) Explaining :
       Concept :
       Solution : Propionibacterium shermanii produces carbon dioxide during fermentation,
       creating holes in Swiss cheese.
       Final Answer : (2)
       128) Explaining :
       Concept :
       Solution : Antibiotics are effective only against bacteria, not viruses. So, A is true, R is
       false.
       Final Answer : (3)
       129) Explaining :
       Concept :
       Solution : Monascus purpureus produces statins which inhibit cholesterol synthesis enzymes.
       Final Answer : (2)
       130) Explaining :
       Concept :
       Solution :
       Final Answer : (1)
       131) Explaining :
       Concept :
       Solution : Saccharomyces cerevisiae (yeast) is used to ferment sugars to alcohol.
       Final Answer : (2)
       132) Explaining :
       Concept :
       Solution :
A.
       133) Explaining :
       Concept :
       Solution : Floc-forming bacteria like Pseudomonas and Bacillus form aggregates in aeration
       tanks during secondary sewage treatment.
       Final Answer : (3)
       134) Explaining :
       Concept :
       Solution : Cyclosporin A, produced by Trichoderma polysporum, is an immunosuppressant
       used in organ transplant surgeries.
       Final Answer : (2)
       135) Explaining :
       Concept :
       Solution : Azotobacter is a free-living nitrogen-fixing bacterium, unlike Rhizobium (symbiotic
       in legumes).
       Final Answer : (3)
       136) Explaining :
       Concept :
       Solution : Wilhelm Johanssen coined "gene" in 1909 for hereditary units.
       Final Answer : (4)
       137) Explaining :
       Concept :
       Solution : A monohybrid cross between heterozygotes yields a 3 : 1 dominant to recessive
phenotype ratio.
Final Answer : (2)
138) Explaining :
Concept :
Solution : Alleles are different versions of a gene on the same locus.
Final Answer : (3)
139) Explaining :
Concept :
Solution : This law applies only when genes segregate independently.
Final Answer : (3)
140) Explaining :
Concept :
Solution : X-linked recessive disorder, mostly affects males.
Final Answer : (3)
141) Explaining :
Concept :
Solution : Incomplete dominance results in a blended phenotype.
Final Answer : (3)
142) Explaining :
Concept :
Solution : Codominance shows simultaneous expression (e.g. AB blood group).
Final Answer : (3)
143) Explaining :
Concept :
Solution : Thalassemia results from defective haemoglobin production.
Final Answer : (1)
144) Explaining :
Concept :
Solution : Turner’s syndrome = 45 chromosomes, missing one X.
Final Answer : (3)
145) Explaining :
Concept :
Solution : If both are heterozygous (IAi × IBi), all four blood types are possible.
Final Answer : (3)
146) Explaining :
Concept :
Solution : Polygenic = multiple genes control a trait; skin colour involves 3–4 genes.
Final Answer : (3)
147) Explaining :
Concept :
Solution : XXY condition (male with one extra X) = 47 chromosomes.
Final Answer : (3)
148) Explaining :
Concept :
Solution : The SRY gene on Y chromosome triggers male development.
Final Answer : (3)
149) Explaining :
Concept :
Solution : Caused by trisomy of chromosome 21.
Final Answer : (2)
150) Explaining :
Concept :
Solution : Autosomal recessive disorder — 1/4 chance if both are heterozygous.
Final Answer : (2)
151) Explaining :
Concept :
Solution : In incomplete dominance, neither allele is completely dominant.
Final Answer : (1)
152) Explaining :
Concept :
Solution : It is autosomal recessive, and carriers are usually asymptomatic.
Final Answer : (1)
153) Explaining :
Concept :
Solution : Turner = 45 chromosomes (XO); Klinefelter = XXY, male.
Final Answer : (1)
154) Explaining :
Concept :
Solution : Male gamete (sperm) determines sex — not ovum.
Final Answer : (1)
155) Explaining :
Concept :
Solution : Pedigree is useful in tracing sex-linked traits too.
Final Answer : (1)
156) Explaining :
Concept :
Solution : Codominance = AB, Incomplete = snapdragon, Polygenic = skin, X-linked =
haemophilia.
Final Answer : (1)
157) Explaining :
Concept :
Solution : Down Syndrome - Trisomy 21st chromosome.
Turner Syndrome - AA + XO.
Klinefelter Syndrome - AA + XXY.
Final Answer : (1)
158) Explaining :
Concept :
Solution : Gene - Segment of DNA coding for protein
Allele - Alternate forms of gene
Phenotype - Physical expression
Genotype - Genetic constitution
Final Answer : (1)
159) Explaining :
Concept :
Solution : Mendel - Father of genetics
Morgan - Chromosomal theory
Hugo de Vries - Rediscovered Mendel’s laws
Sutton - Term – Linkage
Final Answer : (3)
160) Explaining :
Concept :
Solution : Blood group A - IAIA or IAi
Blood group B - IBIB or IBi
Blood group AB - IAIB
Blood group O - ii
Final Answer : (1)
161) Explaining :
Concept :
Solution : NCERT page…64
Final Answer : (1)
162) Explaining :
Concept :
Solution : NCERT page…66
Wrong statements after correction.
A. Independent pairs segregate independently of each other
C. Both Chromosome and genes are unpaired in haploid organisms.
E. Both Chromosome and genes are paired in diploid organisms.
Final Answer : (4)
163) Explaining :
Concept :
Solution : (A) Flower position- Axial/terminal.
(B) Seed shape- Round/wrinkled.
(C) Flower colour- Violet/white.
(D) Seed colour- Yellow/green.
Final Answer : (1)
164) Explaining :
Concept :
Solution : Haemophilia is X-linked recessive, not autosomal.
Final Answer : (2)
165) Explaining :
Concept :
Solution : In males, one recessive X-linked allele causes disease.
Final Answer : (1)
166) Explaining :
Concept :
Solution : Down syndrome = trisomy 21, Turner = 45 chromosomes (XO).
Final Answer : (1)
167) Explaining :
Concept :
Solution : Colour blindness - X-linked recessive
Thalassemia - Autosomal recessive
Down syndrome - Trisomy 21
Final Answer : (1)
168) Explaining :
Concept :
Solution : Mendel's work on Pisum sativum laid the foundation of modern genetics.
Final Answer : (3)
169) Explaining :
Concept :
Solution : Test cross = crossing dominant phenotype with homozygous recessive.
Final Answer : (2)
170) Explaining :
Concept :
Solution : Males have only one X → recessive allele expresses directly.
Final Answer : (1)
171) Explaining :
Concept :
Solution : Klinefelter = Male with 47 chromosomes → extra X.
Final Answer : (3)
172) Explaining :
Concept :
Solution : X-linked recessive disorder; mother must be carrier (XcX).
Final Answer : (2)
173) Explaining :
Concept :
Solution : Female missing one X chromosome.
Final Answer : (2)
174) Explaining :
Concept :
Solution : Linked Mendelian inheritance to chromosomes.
Final Answer : (2)
175) Explaining :
Concept :
Solution : Skipping generations is typical of recessive traits.
Final Answer : (2)
176) Explaining :
Concept :
Solution : Fact based question.
Final Answer : (3)
177) Explaining :
Concept :
Solution : It is an autosomal recessive trait then can be transmitted from parents to the
offspring when both the partners are carrier for the gene.
Final Answer : (2)
178) Explaining :
Concept :
Solution : fact based question
Final Answer : (1)
179) Explaining :
Concept :
Solution : With increasing age , frequency of crossing over between genes may decrease,
leading to increase in strength of linkage.
Final Answer : (1)
180) Explaining :
Concept :
Solution : Fact based question.
Final Answer : (2)