Amisha Shahi

By We-wec Yadav

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2078-Bhadra-13-Sunday

2021-August-29

Mathematics



7.

Multiply a) 0.8 and b) 0.16 by 10 and 100.

a) 0.8
0.8 * 10 = 8
0.8 * 100 = 80

b) 0.16
0.16 * 10 = 1.6
0.16 * 100 = 16


8.

Simplify
a)6√5 + 2√5 - 3√5
b)2√8 - √18 + 3√50

a)6√5 + 2√5 - 3√5
= 8√5 - 3√5
= 5√5

b)2√8 - √18 + 3√50
= 2√(2*2*2) - √(3*3*2) + 3√(5*5*2)
= 2√(22 * 2) - √(32 * 2) + 3√(52 * 2)
= 2*2√2 - 3√2 + 3*5√2
= 4√2 - 3√2 + 15√2
= 19√2 - 3√2
= 16√2

9.

Simplify : 100 ÷ 2[500 ÷ { 6 + (25 + 7 - 24 )}]

= 100 ÷ 2[500 ÷ { 6 + (21 + 7 - 24 )}]
= 100 ÷ 2[500 ÷ { 6 + (21 + (-17) )}]
= 100 ÷ 2[500 ÷ { 6 + (21 - 17)}]
= 100 ÷ 2[500 ÷ { 6 + 4 }]
= 100 ÷ 2[500 ÷ { 10 }]
= 100 ÷ 2[500 ÷ 10 ]
= 100 ÷ 2[50]
= 100 ÷ 100
= 1

11.

a) Convert 491 into binary number.

Solution
24911
22451
21220
2611
2300
2151
271
231
211
 0 

Arranging all these remainder from buttom to top in left to right order we get the binary equivalent of given decimal number.
111101011₂
   ∴ 491₁₀ = 111101011₂ .


b) Convert 142 into quinary number.

Solution
51411
5283
550
511
 0 

Arranging all these remainder from buttom to top in left to right order we get the binary equivalent of given decimal number.
1031₅
   ∴ 141₁₀ = 1031₅ .




12) Convert 1111012 into quinary number.

Solution
Given binary number is 111101₂
Converting binary number into decimal number :
111101₂
= 1 × 2⁵ + 1 × 2⁴ + 1 × 2³ + 1 × 2² + 1 × 2⁰
= 32 + 16 + 8 + 4 + 1
= 61
  ∴111101₂ = 61₁₀  
5611
5122
522
 0 

Arranging all these remainder from buttom to top in left to right order we get the binary equivalent of given decimal number.
221₅
   ∴ 61₁₀ = 221₅ .



2078-Bhadra-10-Thrusday


2021-August-26

First Term Exam 2078

Health & Physical Education

Group A 'Health Education'







1.

What is circulatory system?

[2]

Circulatory system is defined as the system of organ that supplies essential nutrients, oxygen, hormone to all the body parts by pumping blood.


2.

What are the organs of circulatory system?

[2]

Heart, blood and blood vessels are the organs of circulatory system.


3.

What is the main function of heart?

[2]

The main function of heart is to pump pure blood to the body parts.


4.

What are the components of blood?

[2]

Plasma, Red blood Cells, white blood cells and platelets are the components of blood.


5.

What is the importance of blood circulation?

[2]



6.

Describe blood circulation process of human body briefly.

[2]



7.

Why pancrease is called mixed gland?

[2]

Pancreas is called mixed gland as one of its secretion is transported by a separate duct while other secretion is transported by blood.


8.

What are the parts of central nervous system?

[2]

Brain and spinal cord are the parts of central nervous system.


9.

What is the function of cerebellum?

[2]

The main functions of the cerebellum are as follows :
      It senses equilibrium.
      Coordinates eye movement.
      Coordinates and maintains body balance and posture during walking, running, riding, swimming.
      The cerebellum is also essential for making fine adjustments to motor actions.


    10.

    Where is midbrain located?

    [2]

    The midbrain is located between the thalamus/hypothalamus of the forebrain and pons of the hindbrain.


    11.

    Why pituitary gland is called a master gland?

    [2]

    Pituitary gland is called as a master gland because it controls the activities of other endocrine glands and many other body functions by producing appropriate hormones including growth hormones.


    12.

    Differentiate between Exocrine gland and Endocrine gland.

    [3]

    Exocrine glandsEndocrine glands
    Exocrine glands are ductful glands. They have ducts.Endocrine glands are ductless glands as they do not have ducts.
    Exocrine glands secrets zymes.Endocrine glands secrets hormones.
    Examples:- Salivary glands, liver, Brunner’s glands, oesophagal glandsExamples:- Pituitary gland, Thyroid glands, Parathyroid glands, Adrenal glands.


    13.

    What is a spinal cord?

    [2]

    The spinal cord is a part of the central nervous system which looks like a long pipe structure arising from the medulla oblongata, part of the brain consisting of a collection of nerve fibres, running through the vertebral column of the backbone.



    2078-Bhadra-10-Thrusday


    2021-August-26

    First Term Exam 2078

    Science

    Group A 'Physics'

    1.a What is measurement? Differentiate between mass and weight. (1+2)

    The process of measuring an unknown quantity with a known quantity is called measurement.

    The differences between mass and weight are as follows :-


    MassWeight
    The amount of matter contained in a body is called its mass. The force with which a body is attracted toward the centre of a celestial body is called weight of the body at that place.
    Mass of a body remains constant. Weight of a body varies with place.
    Mass is a fundamental quantity. Weight is a derived quantity.
    Mass is a scalar quantity. Weight is a vector quantity.
    Mass of a body can’t be zero. Weight of a body can be zero.
    Mass is measured using beam balance. Weight is measured using spring balance or top balance.
    S.I. unit of mass is Kg. S.I. Unit of weight is Newton (N).
    CGS unit of mass is gram. CGS unit of weight is dyne.


    1.b The mass of a girl is 40 kg. Calculate her weight.(2)

    Solution
    Given
    Mass, m = 40 kg
    Acceleration due to gravity, g = 9.8m/s2
    So, weight of the girl, w = m.g = 40 * 9.8 = 392 Newton.


    2.a What does it mean by the fact that the acceleration of a car is 5m/s2 ? (2)

    This means that the velocity of the car is increasing 5m/s every second. If at t = 0 s velocity was 8m/s then at t = 1s velocity becomes (8+5)m/s = 13 m/s. Similarly at t = 2s velocity becomes (13+5)m/s = 18 m/s and so on.


    2.b What is acceleration ? Differentiate between speed and velocity. (1+2)

    The time rate of change of velocity is called acceleration.

    Differences between speed and velocity are as follows :-


    SpeedVelocity
    Speed is defined as the distance covered per unit of time.Velocity is defined as the displacement covered per unit of time.
    Speed has magnitude but no direction.Velocity has both magnitude and direction.
    Speed is a scalar quantity.Velocity is a vector quantity.
    Value of speed can't be negative.Value of velocity can be positive, zero and negative.


    3.a If a train starts from rest and attains velocity of 100m/s in 25 seconds. Calculate the acceleration produced by the train. (2)

    Solution
    Given
    Initial velocity, u = 0 m/s
    Final velocity, v = 100 m/s
    Time taken, t = 25 s
    Acceleration, a =
    (v - u)/t
    = (100 m/s - 0 m/s) / 25s
    = 100/25 m/s2
    = 4 m/s2
    The acceleration produced by the train is 4 m/s2.


    3.b A body starts moving from rest and attains the acceleration of 0.5 m/s2. Calculate the velocity at the end of 3 minutes. Also find the distance travelled by it during that time. (3)

    Solution
    Given
    Initial velocity, u = 0 m/s
    Acceleration, a = 0.5 m/s2
    Time taken, t = 3 minutes = 3 * 60 seconds = 180 seconds
    Final velocity, v = u + at = 0 + 0.5 * 180 = 90 m/s.
    Distance travelled, d = v*t = 90*180 = 16200 m.
    Hence the velocity of the body at the end of 3 minutes is 90 m/s and distance travelled by it is 16200 m.

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