Maths Made Interesting 4

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    MATHSMATHS

    Dr. T.K. Jain.Dr. T.K. Jain.

    AFTERSCHOOOLAFTERSCHOOOLwww.afterschool.tkwww.afterschool.tk

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    In an election between two

    candidates, the candidateswho gets 30% of the votespolled is defeated by 15000

    votes. The number of votessecured by the winning

    candidate? 70/40 (15000) = 26250 votes.

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    When water freezes into

    ice it increased by 9% involume. How many percentwill the volume of ice

    decrease if it is melted intowater?

    8.26 % approx.

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    Log 464 ?

    3 is the answer.

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    Log 10.01 ?

    -2 ans.

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    Circumference of a circle

    is 131.9 what is its area?

    1385.4 or 441 pie approx.

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    Area o a circ e is sq.cm. what is its

    circumference? 175.9 approx.

    Or 56 pie

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    How many balls of diameter1 cm each can be made from

    a sphere of diameter 16cm?

    4096

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    Match the following: Orthocentre Circumcentre

    Incentre Centroid

    Altitudes

    Medians

    Perpendicularbisectors

    Angular bisectors

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    In a triangle ABC, A is of70 degree, bisectors of B

    and C meet at point O, whatis the measurement of

    angle BOC?

    90+.5(70) = 125 degree.

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    In a triangle ABC, A is of 70degree, Side AB and AC are

    extended to P and Qrespectively. Bisectors of

    PBC and QCB meet at pointO, what is the measurementof angle BOC?

    90 - .5(70) = 90-35 = 55 degree ans.

    T ti ii t

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    T e ratio o ra ii o twocircles is 1:3, what is the

    ratio of their area?

    1:9

    i t

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    . o a num er is equa to.07 of another. What is the

    ratio of the two numbers?

    7:50 Ans.

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    4A=5B=7C, and we divideRs. 581 among A,B,C, how

    much will they get (eachseparately)?

    A gets 245, B 196 and C 140 ans.

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    A bag contains 1 rupee 50paise, 25 paise coins in the

    ratio 5:6:7, and totalamount is Rs 390, find the

    number of these coins?

    1 rupee coin = 200, 50 paise coins =240 and 25 paise coins = 280.

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    Three numbers are in ratio2:3:5,sum of their squares

    is 608, what are thenumbers?

    The numbers are 8,12 and 20.

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    What is the square root

    of .4?

    .632 approx.

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    What is the square root

    of .9?

    .9 approx.

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    Five bells toll together atand then they bell an an

    interval of 6,7,8,9,12seconds respectively. How

    many times will the tolltogether in one hour? Calculate LCM of 6,7,8,9, 12 = 504 Divide 3600 by 504 = 7 approx. so they will

    toll together 7 times in an hour.

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    What is the greatest no.that will divide 290,460 and552 and leave remainder of

    4,5,6 respectively?

    Calculate HCF of 286,455 and 546(deduct remainers) = 13 ans.

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    Thanks

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