Solution
Solution
1803CMD303002250005 MD
PHYSICS
1) 1 + + + + ...... ∞ =
(1)
(2)
(3)
(4)
(1)
      and 1
(2)
      and 1
(3)
         and 1
(4)
      and – 1
3)
If radius R = 9m and angle θ = 120° then find are length S = ?
(1) 1080 m
(2) 13.33 m
(3) 6πm
(4) 9m
4)
(1) sin θ = –2
(2) cos θ = 2
(3) tan θ = 1000
(4) All
(1)
(2)
(3)
(4) 3
(1)
(2)
(3)
(4)
7)
(1)     x=0
(2) x = 4
(3) x =1
(4) None
8) If y = esin x, then =?
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
(1) 1
(2) –1
(3) 2
(4) –2
13)
(1) 7
(2) 9
(3) x3 + 6
(4) 3
(1) 13
(2) 5
(3) 12
(4) None
      –2,
(1)
(2)
      2,
(3)
      2,
      –2,
(4)
(1) 1 + nx
(2) 1 – nx
(3) x + n
(4) x – n
17)
(1)
(2)
(3)
(4)
(1) 1
(2)
(3)
(1)
(2)
(3)
(4)
20)
Evaluate =
(3)
      –   sin (5x – 3) + c
(4)
          sin (5x – 3) + c
21) A clock shows 5 O' clock, how much angle between its minute and hour needles make ?
(1) 150°
(2) 120°
(3) 100°
(4) 90°
22) log10(1000)1/3 = ?
(1) 3
(2)
(3) 1
(4) –1
23) Calculate the distance between two points (0, –1, 1) and (3, 3, 13) : –
(1) 5
(2) 12
(3) 13
(4) 17
(1) Zero
(2) 1
(3) 1.5
(4) –1.5
25) Which of the following equation is the best representation of the given graph ?
(1) y = x2
(2) x = y2
(3) y = ex
(4) y = x
26) Which of two following graph is the best representation for the given equation.
  y = sinx
(1)
(2)
(3)
(4)
27)
(1) t4 + t3 – t2 – t–2 + c
(2)
(3)
(4)
28)
(1) 5
(2) 6
(3) 3
(4) 2
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
33) The vector makes 120° with the x-axis and the vector         makes 30° with the x-axis. What is
magnitude their resultant ?
(1) P + Q
(2) P – Q
(3)
(4)
34) Two vectors    and      lie in a plane, another vector   lies outside this plane, then the resultant of
these three vectors i.e.             :
35) If then -
(1)      is parallel to
(2)
(3)
(4)      and     are mutually perpendicular
36) The resultant of two equal forces is double of either forces. Angle between them is :
(1) 120°
(2) 90°
(3) 60°
(4) 0°
37) Which of the following is not essential for the three vectors to produce zero resultant ?
(1) The resultant of any two vectors should be equal and opposite to the third vector
(2) They should lie in the same plane
(3) They should act along the sides of a parallelogram
(4) It should be possible to represent them by the three sides of triangle taken in order
38) If = 2 and = and angle between and is 30°, then resultant will be :
(1)
(2)
(3)
(4)
39) What should be added to the sum of vectors                   and         so that the resultant is a
unit vector along the x-axis ?
(1)
(2)
(3)
(4)
(1)
                 and
(2)
                 and
(3)
              and
(4)
                 and
41) If     = 100 and it is making 37° with negative x-axis and 53° with positive y-axis then write it in
the form of     :-
         = 80 – 60
(1)
(2)   = –80 + 60
      = –80 – 60
(3)
(4) = –60 + 80
(1) 90°
(2) 45°
(3) 22.5°
(4) 30°
(1) 30°
(2) 60°
(3) 90°
(4) 180°
44) One of the two rectangular components of velocity of 80 km/h is 40 km/h. What is the other
component ?
(1) 40 km/h
(2) 69.28 km/h
(3) 89.44 km/h
(4) 120 km/h
45)
Three forces are acting on a body to make resultant force zero. Which set can do it without any of
the angle between forces being 0° or 180°?
CHEMISTRY
1) Atomic No. of Pd is 46. In the same group atomic no. of elements placed above and below Pd will
be :-
(1) 36, 66
(2) 28, 78
(3) 38, 68
(4) 28, 64
2) Elements A and B with their respective electronic configurations 3d104s1 and 4d105s1 in their
outermost shell are :
3) Elements upto atomic no. 112 have been discovered till now. What will be the electronic
configuration of the element possessing atomic no. 108 :-
4) An element having electronic configuration as 54[Xe]4f14, 5d10, 6s2 6p4 will be present in –
5) The group no. and period no. of element having atomic no. 93 will be respectively
(1) 7, 3
(2) 3, 6
(3) 6, 3
(4) 3, 7
6) As per Slater What will be the Zeff for K atom, if value of Zeff for Na is X :-
(1) X + 0.35
(2) X – 0.35
(3) X + 0.65
(4) X
7) 3 students (x, y & z) measured atomic radius for an atom in different conditions and they found
values as:-
 Students               X      Y         Z
 Radius
                      80 pm     100 pm    155 pm
 Calculated
Their instructor told them, that their values are correct but type of radii are different for an atom.
Their radii respectively are:-
               X               Y             Z
8)
9)
10) From the given set of species, point out the species from each set having least atomic radius:-
(1) O–2, F–, Na+
(2) Ni, Cu, Zn
(3) Li, Be, Mg
(4) He, Li+, H–
Correct answer is :-
(1) Statements 1 and 2 are true. Statement 2 is the correct explanation for statement 1.
(2) Statements 1 and 2 are true. Statement 2 is not the correct explanation for statement 1.
(3) Statement 1 is correct, statement 2 is incorrect.
(4) Statement 1 is incorrect, statement 2 is correct.
12) Successive ionisation energies of an element 'X' are given below (in K. Cal)
13) Nitrogen has lower electron affinity than its preceeding element carbon because :
14) IP of an element 'X' is 'A' and electron affinity of this element is 'B'. Correct statements
regarding A and B is :-
(1) A = B
(2) A > B
(3) A < B
(4) IP of X+ = EA of X
(1) H
(2) F
(3) He
(4) Be
(1)
(2)
(3)
(4)
17) Which of the following has maximum EA, EN and I.P. respectively ?
(A) A = 1s2, 2s2, 2p6
(B) B = 1s2, 2s2, 2p6, 3s2, 3p5
(C) C = 1s2, 2s2, 2p5
(D) D = 1s2, 2s2, 2p6, 3s1
(1) A, B, D
(2) B, C, A
(3) B, A, C
(4) C, B, D
(1) F, Cl
(2) C, H
(3) P, H
(4) Na, Cs
19) Electronic configuration of elements A, B, C and D are given which is least electro negative:-
20) Which of the following element will form most stable bivalent anion.
(1) Fluorine
(2) Oxygen
(3) Chlorine
(4) Nitrogen
(1) Zr & Hf
(2) Li & Na
(3) Mg & Ca
(4) Si & Ge
23) Which of the following sequence represents atomic number of only representative elements?
24) After filling of 4s orbital, the filling of 3d orbitals becomes energetically favourable. the 10
elements related to 3d filling are termed as :
25) The ionic radii of N3–, O2– and F– are respectively given by :
(1) He
(2) Xe
(3) Ne
(4) Ar
27) The correct values off ionisation energies (in kJ mol–1) of Be, Ne, He and N respectively are :
29) Which of the following sets of atomic numbers corresponds to elements of group 16 ?
(1) 8, 16, 32, 54
(2) 16, 34, 54, 86
(3) 8, 16, 34, 52
(4) 10, 16, 32, 50
30) The atomic numbers of the metallic and non–metallic elements which are liquid at room
temperature respectively are:
(1) 55, 87
(2) 33, 87
(3) 35, 80
(4) 80, 35
31) If the aufbau principle had not been followed, Ca (Z = 20) would have been placed in the :
(1) s-block
(2) p-block
(3) d-block
(4) f-block
32) Select the pair in which the 1st ionization energy is greater for the 2nd element compared to 1st
element.
(1) Be, B
(2) C, B
(3) C, N
(4) N, O
34) The first five ionization energies of an element are 9.1, 16.2, 24.5, 35 and 205.7 eV respectively.
Then number of valence electron in the given atom is
(1) 2
(2) 3
(3) 4
(4) 5
(1) Unnilhexium
(2) Unnilseptium
(3) Unnilnonium
(4) Unnilennium
37) Which will have the maximum value of electron affinity Ox, Oy, Oz [x , y and z respectively are
0, –1 and –2] ?
(1) Ox
(2) Oy
(3) Oz
(4) All have equal
(1)
(2)
(3)
(4) None of these
40) Which of the following will have the most negative electron gain enthalpy and which the least
negative ?
(1) F, Cl
(2) Cl, F
(3) Cl, S
(4) Cl, P
41) The formation of the oxide ion O2–(g) requires first an exothermic and then an endothermic step
as shown below :-
O(g) + e– → O–(g); ΔH° = –142 kJ mol–1
O–(g) + e– → O2–(g); ΔH° = +844 kJ mol–1
This is because:
(1) CO
(2) SnO2
(3) ZnO
(4) SiO2
44) Aqueous solution of two compound M1 –O–H & M2 –O–H are prepared in two different beakers. If
EN of M1 = 3.4, M2 = 1.2, O = 3.5 & H = 2.1. Then nature of solution will be respectively.
BIOLOGY
2) Which is not a feature w.r.t. given diagram of mitochondria (as indicated in diagram) :-
3) Membrane bound vesicular structure which contain digestive acid hydrolases are formed by :-
(1) Centrosome
(2) Golgi bodies
(3) Peroxisome
(4) Nuclear envelopes
5) Which among the following structure help in the motility of Prokaryotic cell?
(A) Pili
(B) Flagella
(C) Fimbriae
(D) Cilia
(1) B, C
(2) B, C, D
(3) AB
(4) Only B
(1) Capsule
(2) Slime mold
(3) Slime layer
(4) Cell membrane
(1) ER
(2) Lysosome
(3) Golgi complex
(4) Peroxisome
(1) Heterophagosome
(2) Diplosome
(3) Sphaerosome
(4) Dictyosome
14) In mitochondria most of the enzymes for TCA cycle are found in
15) Read the following statements and select the correct option.
Statement A : Cell wall protects cells from mechanical injury.
Statement B : In human being, cell membrane of RBC has approximately 40% protein and 52%
lipids.
18) Which face of Golgi apparatus receives vesicles from endoplasmic Reticulum ?
(1) Trans
(2) Cis
(3) Both (1) & (2)
(4) Face associated with ribosome
20) Assertion :- All the organelles of eukaryotic cells are surrounded by either single or double
membrane.
Reason :- In eukaryotic cell none of cell organelle can work and exist without membrane.
(1) Both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
(2) Both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.
(3) Assertion is True but the Reason is False.
(4) Both Assertion & Reason are False.
22) Read the following statements and select the correct option.
Statement A: Chromatophores are found in some bacteria.
Statement B: Chromatophores help in photosynthesis
24) In plant cell the main arena for various types of activities is :
(1) Cytoplasm
(2) Nucleoplasm
(3) Plasma membrane
(4) Mitochondrion
25) Algal cell wall is made up of all the following materials, except :
(1) Chitin
(2) Galactans
(3) Cellulose
(4) Mannans
26) Select the function which is associated with the cell organelle of endomembrane system :
(1) 7 μm
(2) 0.5 μm
(3) 0.1 μm
(4) 0.02 μm
29) All the following statements are true for golgibody except :-
(1) Lipids are arranged in a bilayer with polar heads towards the inner part
(2) Fluid mosaic model of cell membrane was proposed by Singer and Nicolson
(3) Na+ and K+ ions move across cell membrane by passive transport
(4) Proteins make up 60 to 70% of the cell membrane
(1) Viruses
(2) Animal
(3) plant
(4) Algae
(1) It is nonmembranous
(2) It lacks proteases
(3) It works at lower pH than the cytoplasm
(4) It works at higher pH than the cytoplasm
33) In plant cells the vacuoles can occupy up to...... percent of the volume of the cell:-
(1) 65
(2) 55
(3) 30
(4) 90
34) An organelle which is surrounded by double membrane structure contains DNA molecule,
ribosome and also having the site for aerobic respiration is:-
(1) Chloroplast
(2) Mesosome
(3) Leucoplast
(4) Mitochondria
35) Identify the following cell organelle shown below as well as its structure and function and select
    Structure                              Functions
(1) Double membrane bound                  Protein synthesis
(2) Network of protein filaments           Mechanical support
(3) Many flat, disc shaped-cisterne          Glycolipids & glycoproteins synthesis
(4) Granular (Attached ribosomes)            Protein synthesis
(1) 1
(2) 2
(3) 3
(4) 4
37) Match the column I, II and III, and choose the correct combination from the options given.
                            Mesophyll
 a                     1.                K    Elongated
                            cell
                                              Round and
 b                     2. Tracheid       L
                                              biconcave
                            Red blood
 c                     3.                M Amoeboid
                            Cells
                          White
                                              Round and
 d                     4. blood          N
                                              oval
                          cells
Options :-
(1) a–3–M, b–4–L, c–1–K, d–2–N
(2) a–4–M, b–3–L, c–2–K, d–1–N
(3) a–3–L, b–4–M, c–1–N, d–2–K
(4) a–4–L, b–3–M, c–2–N, d–1–K
(1) 50 S
(2) 60 S
(3) 70 S
(4) 80 S
39) The number of mitochondria per cell is variable depending on the :-
(1) Acetabularia
(2) Nostoc
(3) Chlamydomonas
(4) Pleuropneumonia like organism
(1) DNA
(2) RNA
(3) Plasma membrane
(4) Mitochondria
(1) DNA
(2) DNA and RNA
(3) DNA, RNA and ribosomes
(4) protein
(1) mitochondrion
(2) ribosome
(3) chloroplast
(4) Golgi body
44) Which of the following structure is the functional unit in a Golgi complex?
(1) Cristae
(2) Cisternae
(3) Thylakoid
(4) None of the above
45) Which of the following organelles has a continuous connection with outer membrane of nucleus ?
(1) Ctenophore
(2) Platyhelminthes
(3) Aschelminthes
(4) Both (2) and (3)
51) All are hermaphrodites animals in which of the following sets of animals ?
(1) Polyp produce medusae asexually and medusae produce polyp sexually
(2) Polyp produce medusae sexually and medusae produce polyp sexually
(3) Polyp produce medusae asexually and medusae produce polyp asexually.
(4) Both (1) & (2)
55) The connecting link between non chordates and chordates is:
(1) Neopilina
(2) Peripatus
(3) Balanoglossus
(4) Archaeopteryx
56) Body is externally and internally divided into segments with serial repetition of atleast some
organs, this is called :-
(1) Metamorphosis
(2) Metagenesis
(3) Metamerism
(4) Metachrosis
(1) Scypha
(2) Ctenoplana
(3) Physalia
(4) Taenia
(1) Sycon
(2) Pleurobrachia
(3) Hydra
(4) Taenia
(1) Taenia
(2) Hydra
(3) Ascaris
(4) Sycon
(1) Platyhelminthes
(2) Aschelminthes
(3) Porifera
(4) Ctenophora
(1) Pheretima
(2) Hirudinaria
(3) Nereis
(4) Ascaris
62) The animals of which phylum are bilaterally symmetrical, triploblastic, segmented and coelomate
?
(1) Coelenterata
(2) Ctenophora
(3) Aschelminthes
(4) Arthropoda
(1) Cockroach
(2) Limulus
(3) Scorpion
(4) Prawn
(1) Aurelia
(2) Ctenoplana
(3) Taenia
(4) Nereis
(1)
(2)
(3)
(4)
67) Which of the following animal is correctly matched with its phylum and characters ?
68)
How many of the following phyla exhibit both extracellular and intracellular digestion ?
Porifera, Aschelminthes, Annelida, Hemichordata, Protozoa, Ctenophora, Cnidaria.
(1) 3
(2) 4
(3) 2
(4) 1
69) Assertion: The water vascular system of echinoderms helps in locomotion, capture, and
transport of food and respiration..
Reason: Echinoderms are spiny bodies animals in which development is indirect with free-
swimming larva.
(1) Both (A) and (R) are true and (R) is the correct explanation of (A)
(2) Both (A) and (R) are true and (R) is not the correct explanation of (A)
(3) (A) is true but (R) is false
(4) (A) is false but (R) is true
(1) Scorpion
(2) Praying Mantis
(3) Beetle
(4) Locust.
71) In which of the following phylum larvae are bilaterally symmetrical and adult are radically
symmetrical ?
(1) Mollusca
(2) Echinodermata
(3) Annelida
(4) Arthropoda
(1) Open
(2) Closed
(3) Both (1) and (2)
(4) Absent
74) '___A___' is largest phylum of animal Kingdom and 'A' have exoskeleton made of ____B____ ?
Identify 'A' and 'B'.
75) Statement-I :- The body cavity which is lined by mesoderm is called coelom.
Statement-II :- In platyhelminthes, mesoderm is present as scattered pouches in between the
ectoderm and endoderm.
77) Assertion (A): In Planaria digestive system has only a single opening to the outside of the body.
Reason (R): Planaria possess high regeneration capacity.
(1) Both (A) and (R) are correct but (R) is not the correct explanation of (A)
(2) (A) is correct but (R) is not correct
(3) (A) is incorrect but (R) is correct
(4) Both (A) and (R) are correct and (R) is the correct explanation of (A)
78) Statement-1 :- When any plane passing through the central axis of the body divides the
organism into two identical halves. it is called radial symmetry. Statement-2 :- Annelida,
arthropoda exhibit radial symmetry.
Phylum Feature
(1) Tapeworms
(2) Liver fluke
(3) Brain coral
(4) Bath sponge
83) Body divides into anterior proboscis, a collar and a long trunk. This is the feature of :
(1) Balanoglosus
(2) Amphioxus
(3) Megascolex
(4) Doliolum
84) Choose incorrect statement only from the figure given below :-
List-I List-II
86) Which one of the following features is not present in phylum arthropoda?
88) Body cavity is the cavity present between body wall and gut wall. In some animals the body
cavity is not lined by mesoderm. Such animals are called
(1) Acoelomate
(2) Pseudocoelomate
(3) Coelomate
(4) Haemocoelomate
89) The figure shows four animals (a), (b), (c) and (d). Select the correct answer with respect to a
common characteristics of two of these animals.
(a) (b)
(c) (d)
PHYSICS
 Q.         1          2         3        4     5     6     7        8          9     10        11     12     13     14     15    16   17    18    19    20
 A.         2          1         3        3     1     1     2        4          1     2          3      4     1      1      4     2     1     2     3     4
 Q.         21         22        23       24    25    26    27       28        29     30        31     32     33     34     35    36   37    38    39    40
 A.         1          3         3        2     1     1     3        1         3      1         2      4      3      2      4     4    3     1     2     1
 Q.         41         42        43       44    45
 A.         2          2         3        2     4
CHEMISTRY
 Q.         46         47        48       49    50    51    52        53        54        55     56     57     58     59    60    61    62    63   64    65
 A.         2          1         1        4     4     4     3         1         3         2      3      4      3      2     3     4     2     3    2     2
 Q.         66         67        68       69    70    71    72        73        74        75     76     77     78     79    80    81    82    83   84    85
 A.         4          1         2        3     3     2     3         2         3         4      3      3      4      3     4     1     1     2    2     4
 Q.         86         87        88       89    90
 A.         4          1         1        1     2
BIOLOGY
Q.    91         92         93       94    95   96    97        98        99        100        101    102    103    104    105   106   107   108   109   110
A.    1          2          2        3     4    2     1         4         1          4          3      2      4      4      1     2     4     2     4     4
Q.    111        112       113    114     115   116   117    118          119       120        121    122    123    124    125   126   127   128   129   130
A.     3          3         3      1       1     2     1      1            3         2          1      3      4      4      3     3     3     3     2     4
Q.    131        132       133    134     135   136   137    138          139       140        141    142    143    144    145   146   147   148   149   150
A.     4          3         4      2       3     3     1      3            1         4          4      3      3      1      3     3     3     2     3     2
Q.    151        152       153    154     155   156   157    158          159       160        161    162    163    164    165   166   167   168   169   170
A.     3          4         3      2       2     4     2      3            2         4          2      1      3      4      1     4     1     3     2     2
Q.    171        172       173    174     175   176   177    178          179       180
A.     4          3         1      3       2     4     1      2            2         2
                                           SOLUTIONS
PHYSICS
1)
    2) 2x2 – 7x + 5 = 0 2x2 – 2x – 5x + 5 = 0
    2x(x – 1) – 5 (x – 1) = 0
    (x – 1) (2x – 5)
x = 1 and x =
3)
4)
5)
slope = m =
    6)
    – 3x – 5y = 15
    5y = – 3x – 15
y=
Here :- c = –3
    7)
y = 2x3 – 12x2 + 36
6x2 – 24 x = 0
6x(x – 4) = 0
x = 0 and x = 4
at x = 0 ⇒ = – 24 < 0 → maxima
at x = 4 ⇒ = 24 > 0 → minima
8)
9)
10)
x=
At x = , y is minimum
ymin =
Calculation
=
12) =
            = –1–1
            = –2
13)
=8–1=7
14)
= =13
15)
16) 1. Explanation (30 words): We are asked to find the binomial expansion approximation
for                        The binomial expansion helps approximate powers of binomials.
2. Concept (20 words):
For large values of, the binomial expansion of (1 + x)-n simplifies to an approximation involving
powers of x.
3. Formula:
The binomial expansion for (1 + x)- n :
17)
Concept:
Quadrants and Signs: The sine function is positive in the first and second quadrants and
negative in the third and fourth quadrants.
Mathematical Calculation:
1. Locate 300°: An angle of 300° lies in the fourth quadrant.
2. Find the reference angle: The reference angle for 300° is 360° - 300° = 60°.
3. Determine the sign: Since 300° is in the fourth quadrant, where the sine function is
negative, sin(300°) will be negative.
4. Evaluate: We know that sin(60°) = √3/2. Therefore, sin(300°) = sin(360-60°) = -sin(60°)= -
√3/2
Final Answer:
18)
sin 1° = sin
for angle to be small
19)
Concept Based:
This equation represents a circle. By simplifying the equation, we can check if it matches the
standard forms of a circle's equation x2 + y2 = r2.
Formula Used:
Calculation:
Final Answer :
Option (4) :
21)
For one hour angle between hour hand and minute hand = 30°.
22)
B. Concept:
B. Properties of Logarithms:
A. log_b(b^x) = x
B. (log_b(x))^a = a * log_b(x)
C. Formulae:
A. log_b(b^x) = x
D. Calculation:
E. Final Answer:
log10(1000)^(1/3) = 1 option 1
23)
24)
25)
B. Concept:
C. Formulae:
A. Linear: y = mx + b
B. Quadratic: y = ax²
C. Exponential: y = a^x
D. Square Root: y = √x
D. Calculation/Analysis:
  A. Shape: The graph resembles a curve that starts at the origin and increases at an
     increasing rate. This shape is characteristic of a quadratic function.its behaviour is
     quadratic as y = ax²
         2. Behavior: The graph is always positive (above the x-axis) for both positive and negative
      x-values.
E. Final Answer:
26)
Conceptual.
27)
= +c
area = (5 × 1) + (1 × 5) – (1 × 5) = 5
29)
By theory
(2) Concept:
1. Angular acceleration: It is a measure of the rate of change of angular velocity and has both
magnitude and direction. Hence, it is a vector quantity.
2. Electric potential: It is a scalar quantity because it only has magnitude and no direction.
3. Electric current: While it has a direction, it is considered a scalar quantity because it does not
obey vector addition laws.
4. Refractive index: It is a scalar quantity as it is simply a ratio of speeds (speed of light in vacuum
to speed in the medium) and has no direction.
(3) Formula:
For Angular Acceleration (α):
where:
This confirms angular acceleration is a vector, as it depends on the direction of angular velocity.
(4) Solution/Explanation:
From the analysis above:
  A. Angular acceleration (1) is a vector quantity because it has magnitude and direction.
  B. The other options (2, 3, 4) are scalar quantities because they lack direction or do not obey
     vector addition rules.
31)
       Explain:
       Find the magnitude of the vector 2i + 4j + 5k.
       Calculation: Magnitude =
       Magnitude =
       Magnitude =
       Magnitude =
32)
       Theory Based
       All options are correct.
       33)
       So,
34)
Resultant of and will also lie in same plane as them so this resultant can no be opposite to
  as does not lie in same plane as and
So,
          can not be zero.
35)
⇒ θ = 90°
36)
R = 2A                      Given
So,             = 0°
37) For the three vectors to produce zero resultant it is not mandatory for them to act along
the sides of a parallelogram.
38)
Resultant
39)
Let is added,
Now,
40)
    41)
    42)
    x axis =
cosθ =
    43)
    take           and
    So,
    and
44)
vy = = 69.28 km/h
45)
CHEMISTRY
56)
    The first ionization energy of Be is greater than that of B and Energy of 2p-orbital is higher
    than 2s-orbital.
    59)
    IP > EA
    of of
    X    X
63)
NCERT Pg # 88
66)
    Amphoteric compounds are those which behaves both as an acid and base.
    Many metals such as copper, tin, zinc, lead, aluminium, beryllium form amphoteric oxides or
    hydroxides.
BIOLOGY
93)
NCERT pg # 134
95)
NCERT pg # 129
96)
NCERT pg # 134
97)
NCERT pg # 128
99)
NCERT pg # 132
104)
    XI NCERT Pg. # 97
  109)
  Explanation: Anton Von Leeuwenhoek was the first to observe and describe a live cell
  (like bacteria and protozoa) using a simple microscope.
110)
Explanation:
B. Reason is False: Some organelles like ribosomes and centrosomes lack membranes but
   still function effectively.
112)
Explanation:
115)
119)
A. Option 3 is incorrect: The Golgi body is not filled with digestive enzymes; that’s the role
   of lysosomes, which bud off from the Golgi.
Thus, Option 3 is the statement that is not true for the Golgi body.
  121) The correct answer is: 1. Viruses Explanation: Cell theory states that all living
  organisms are composed of cells, and all cell functions occur within cells. However, viruses do
  not follow this principle because they are not made of cells. They are without cell and cannot
  carry out life processes independently; they require a host cell for replication. Therefore, cell
  theory is not applicable to viruses.
  123) Asking about: The percentage of a plant cell's volume that can be occupied by the
  vacuole.
  Concept: Plant cell structure, vacuoles, and their function in water storage and turgor
  pressure.
  Solution: Plant cell vacuoles can significantly expand, particularly in mature cells, to store
  water, ions, and other molecules. This expansion can occupy a large portion of the cell's
  internal space.
  Answer: 4, 90
128)
137)
NCERT-XI, Pg. # 44
  141) Explanation:
  A. Hermaphrodites have both male and female reproductive organs.
  B. Spongilla (Sponge), Pleurobrachia (Ctenophore), Fasciola (Liver Fluke), and
     Hirudinaria (Leech) are all hermaphrodites.
  C. Other options contain Ascaris, Nereis, Wuchereria, or Ancylostoma, which are dioecious
     (separate sexes) and incorrect.
Correct Answer:
Option (4) Spongilla, Pleurobrachia, Fasciola, Hirudinaria
     142) Explanation:
     Balanoglossus (a marine acorn worm) belongs to the phylum Hemichordata, which shares
     characteristics with both chordates and non-chordates.
     Correct Answer:
     Option 3. Excretion by proboscis gland
143)
144)
145)
158)
159)