Unproctored CL 1 Ans 2013

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  • 8/22/2019 Unproctored CL 1 Ans 2013

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    Page1 Unproctored Mock-1 2013

    1 b 2 b 3 c 4 a 5 a 6 c 7 a 8 b 9 c 10 d

    11 d 12 b 13 c 14 b 15 a 16 a 17 b 18 c 19 d 20 b

    21 b 22 a 23 d 24 d 25 d 26 b 27 c 28 a 29 b 30 c

    31 b 32 b 33 a 34 d 35 b 36 c 37 b 38 b 39 c 40 c

    41 d 42 c 43 b 44 c 45 a 46 b 47 a 48 d 49 d 50 a

    51 b 52 a 53 a 54 a 55 b 56 a 57 d 58 d 59 c 60 d

    Unproctored Mock-1 2013

    Answers and Explanations

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    Page2 Unproctored Mock-1 2013

    1. b 1! + 2 2! + 3 3! + 4 4! ++ 12 12!= (2! 1!) + (3! 2!) + (4! 3!) ++ (13! 12!)= 13! 1So the remainder = 1 i.e. 12

    2. b Let the smallest number be x and the three equal num-bers be y. Then,

    x 3y x 100150

    5

    + + +=

    2x 3y 650 + =3

    x 325 y2

    =

    Hence, y can take only even values.

    Also,3 3

    325 y y 325 y 1002 2

    < < +

    3325 y y 4252

    < +