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Answers ( 29 )
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    The sum of the marks is : 17 + 13 + 5 + 10 + 14 + 9 + 12 + 16 = 96

    The average of the marks is : 96 : 8 = 12

    After removing 2 marks without changing the average,the sum of the marks is : 12 x (8 - 2) = 72

    This sum decreased by : 96 - 72 = 24

    In the given choices,there's only 10 + 14 = 24.Hence,the answer is E

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    Draw AE // BC.

    The quadrilateral ABCE has AB // CE ; AE // BC,so it's a parallelogram

    ⇒AB=CE;ˆE1=ˆB=1250⇒ˆE2=1800−ˆE1=550⇒AB=CE;E1^=B^=1250⇒E2^=1800−E1^=550

    ˆE1E1^is the exterior angle of ΔADEΔADE ⇒ˆA1+ˆD=ˆE1⇒A1^+D^=E1^

    ⇒ˆA1=1250−700=550⇒A1^=1250−700=550

    ΔADEΔADE has ˆA1=ˆE2=550A1^=E2^=550,so ΔADEΔADE isosceles at D

    ⇒AD=DE⇒CD=CE+DE=AB+AD⇒AD=DE⇒CD=CE+DE=AB+AD

    P/S : The question must be changed into ˆD=700D^=700or ˆB=127.50

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    What did you try?

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    let b an r be the price of a loaf of bread and a roll respectively.

    Now we have:

    _b+6r = 1.8

    _2b+4r = 2.4

    =>

    _b+6r=1.8

    _3b+6r=3.6

    =>2b=1.8 and b=0.9

    Hence, one loaf of bread costs 0.90

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    123456789+987654321=1111111110

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    24X8Y divisible 5 =. Y = 0 or 5 but 24X8Y divisible => Y = 0

    24X80 divisible 9 => (2+4+X+8+0) divisible 9 => (14+X) divisible 9 => X =4

    => The sum  of X and Y is:

       4+0=4

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    The largest number and the smallest number in Marry's list are 800 and 107 respectively.

    Their sum ' s : 107+800 = 907

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