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Math 2nd term
  • Abhishek Mishra

  • 問題数 67 • 7/3/2023

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    問題一覧

  • 1

    if a principal becomes twice as its amount in 10 years., the rate of simple interest per annum is

    5%

  • 2

    AB and CD are two equal chords of a circle with its centre O. If the distance of the chord AB from the point O is 4 cm. then the distance of the chord CD from the centre O of the circle is

    4 cm

  • 3

    If we subtract √5 from √125, the. value is

    √80

  • 4

    if the total interest comes up to rupees x for a principal for the rate of simple interest of x% per annum in x years then the principle will be

    ₹ 100/x

  • 5

    if the length of radius of a right circular cylinder is doubled and height is halved, the lateral surface area will be

    equal

  • 6

    The fourth proportional of 3,4 and 6 is

    8

  • 7

    In the adjoining figure, if O is the centre of circle and PQ is a diameter then the value of x is

    20

  • 8

    AOB is a diameter of a circle. If AC = 3cm, BC = 4cm, then the length of AB is

    5cm

  • 9

    In the adjoining figure, if O is centre of curvature and BC is the diameter then the value of x is

    50

  • 10

    QR is a chord of a circle and PQR is a diameter of a circle. OD is a perpendicular on QR. If OD = 4cm, the length of PQ is

    8 cm

  • 11

    In the adjoining figure, O is the centre of the circle, if ∠BCD=28°, ∠AEC=38°, then the value of ∠ACB is

    86°

  • 12

    If x = 2+√3, the value of x+1/x is

    4

  • 13

    A person deposited rupees 100 in a bank and got the amount rupees 121 for 2 years the rate of compound interest per annum is

    10%

  • 14

    in the adjoining figure O is the centre of the circle, if ∠BAD = 65°, ∠BDC=45°, then the value of ∠CBD is

    20°

  • 15

    a is a positive number and if a:27/64=3/4:a, then the value of a is

    9/16

  • 16

    The total interest of a principal in n years at the rate of simple interest of r% per annum is pnr/25, the principle will be

    ₹ 4p

  • 17

    If a+b =√5 and a–b = √3, the value of (a²+b²) is

    4

  • 18

    The number of roots of a quadratic equation are

    Two

  • 19

    The 3rd proportional of 8 and 12 is

    18

  • 20

    If the two roots of the equation ax²+bx+c=0 (a≠0) be equal, then

    c=b²/4a

  • 21

    In the adjoining figure, O is the centre of the circle, if ∠ACB = 30°, ∠ABC = 60°, ∠DAB = 35° and ∠DBC = x°, the value of x is

    55

  • 22

    AOB is a diameter of a circle. The two chords AC and BD when extended meet at the point E. If angle COD is equals to 40 degree the value of angles CED is

    70⁰ 🤔

  • 23

    in a right circular cylinder if the length of radius is halved and height is doubled, volume of cylinder will be

    half

  • 24

    The length of two chords AB and CD of a circle with centre O are equal. If ∠AOB=60⁰, then the value of ∠COD is

    60⁰

  • 25

    if a+b=√5 and a-b=√3, the value of a²+b² is

    4

  • 26

    If the length of radii of two solid right circular cylinder are in the ratio 2:3 and their height are in the ratio 5:3, then the ratio of their volume is

    20:27

  • 27

    In the adjoining figure, if O is centre of circle, the value of ∠PQR is

    60°

  • 28

    The centre of two concentric circles is O a straight line intersects a circle at the point A and B and other circle at the point C and D. If AC = 5 cm then the length of BD is

    5 cm

  • 29

    The mean proportional of 16 and 25 is

    20

  • 30

    The equation 4(5x²-7x+2)=5(4x²-6x+3) is

    Linear

  • 31

    The root/two roots of the equation x²/x=6

    0&6

  • 32

    The sum of the two roots of the equation x²-6x+2=0 is

    6

  • 33

    In the adjoining figure if O is the centre of circle, then the value of x is

    70

  • 34

    the total surface area of a cube is s square unit and the length of the diagonal is d unit then the relation between s and d is

    d²=s/2

  • 35

    In the adjoining figure, the O is the centre of the circle, if ∠AEB=110° and ∠CBE=30°, the value of ∠ADB is

    80°

  • 36

    The length of each of two parallel chords AB and CD is 16 cm. If the length of the radius of the circle is 10 cm then the distance between two chords is

    12 cm

  • 37

    The product of (5-√3) (√3-1) (5+√3) (√3+1) is

    44

  • 38

    The product of (5– √3)(√3–1)(5+√3)(√3+1) is

    44

  • 39

    O is the circumcentre of ∆ABC and ∠OAB = 50°, then the value of ∠ACB is

    40°

  • 40

    The highest power of the variable in a quadratic equation is

    2

  • 41

    PQ is the diameter of a circle with centre O, and PR = RQ, the value of ∠RPQ is

    45⁰

  • 42

    if the two roots of the equation ax² + bx + c =0 (a≠0) are real and unequal, then b²-4ac will be

    >0

  • 43

    A principal becomes twice of its amount in 20 years at a certain rate of simple interest. At the same rate of simple interest that very principal become thrice as its amount in

    40 yrs

  • 44

    if 2a = 3b = 4c, then a:b:c is

    6:4:3

  • 45

    if the two roots of the equation 3x² + 8 x + 2 = 0 be α and β, then the value of (1/α+1/β) is

    -4

  • 46

    the length, breadth and height of a cuboidal hole are 40 m 12 m and 16 m respectively. the number of planks having the height of 5 m the breadth of 4 m and the thickness of 2 m can be kept in that hole is

    192

  • 47

    the side surface area of a cube is 256 square metre the volume of the cube is

    512 m³

  • 48

    The length of a radius of a circle is 13 cm. and the length of a chord of a circle is 10 cm the distance of the chord from the centre of the circle is

    12 cm

  • 49

    In the adjoining figure, O is the centre of circle and AB is a diameter. ABCD is a cyclic quadrilateral. If ∠ADC = 120⁰, the value of ∠BAC is

    30⁰

  • 50

    In the adjoining figure, O is centre of circle & AB is a diameter, if ∠BCE = 20⁰, ∠CAE = 25⁰, the value of ∠AEC is

    45⁰

  • 51

    In the adjoining figure, O is the centre of the circle and AB || CD. ∠ABC = 25°, the value of ∠CED is

    40⁰

  • 52

    If ax²+bx+c=0 is a quadratic equation, then

    a≠0

  • 53

    if the interest of rupees p @ simple interest of r % per annum in t years is I, then

    prt=100

  • 54

    the ratio of the volume of two cubes is 1:27 the ratio of total surface areas of two cubes is

    1:9

  • 55

    Present price of a machine is rupees 2P and if price of the machine decreases by 2r% in each year the price of machine after 2n years will be

    ₹ 2p (1– r/ 50)2n

  • 56

    the inner volume of a cuboidal box is 440 cc. and the area of inner base is 88 square centimetre the inner height of the box is

    5 cm

  • 57

    If the product of the two roots of the equation x²-3x+k=10 is -2, then the value of k is

    -2

  • 58

    In case of compound interest, the rate of compound interest per annum is

    both equal or unequal

  • 59

    At present the population of a village is p and if increase rate of population per year be 2r% the population will be after n years

    p (1+r/50)n

  • 60

    If the length of radii of two solid write circular cylinder are in the ratio 2:3 and their heights are in the ratio 5:3 then ratio of the area of their lateral surfaces is

    16:9

  • 61

    In the adjoining figure, O is the centre of the circle and AB is a diameter. ABCD is a cyclic quadrilateral. If ∠ABC = 65⁰, ∠DAC = 40⁰ the value of ∠BCD is

    115⁰

  • 62

    In case of compound interest

    Principal changes in each year

  • 63

    If p+q=√13 and p-q =√5, then the value of pq is

    2

  • 64

    If we subtract √5 from √125, the value is

    √80

  • 65

    If x=2+√3, the value of x+1/x is

    4

  • 66

    If p+q =√3 and p–q = √5, then the value of pq is

    2

  • 67

    If volumes of two solid right circular cylinder are same and their height are in the ratio 1:2 then the ratio of length of radii is

    √2:1