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  • If positive integer x is a multiple of 6 and positive integer y is a multiple of 14,is xy a multiple of 105?

    If positive integer x is a multiple of 6 and positive integer y is a multiple of 14,is xy a multiple of 105?
    (1) x is a multiple of 9.
    (2) y is a multiple of 25.
    A.Statement (1) ALONE is sufficient,but statement (2) alone is not sufficient.
    B.Statement (2) ALONE is sufficient,but statement (1) alone is not sufficient.
    C.BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.
    D.EACH statement ALONE is sufficient.
    E.Statements (1) and (2) TOGETHER are NOT sufficient.
    The product of the units digit,the tens digit,and the hundreds digit of the positive integer m is 96.What is the units digit of
    (1) m is odd.
    (2) The hundreds digit of m is 8.
    A.Statement (1) ALONE is sufficient,but statement (2) alone is not sufficient.
    B.Statement (2) ALONE is sufficient,but statement (1) alone is not sufficient.
    C.BOTH statements TOGETHER are sufficient,but NEITHER statement ALONE is sufficient.
    D.EACH statement ALONE is sufficient.
    E.Statements (1) and (2) TOGETHER are NOT sufficient.
    第一題答案是B,第二滴題答案是A,希望寫出向出席步驟,
    數(shù)學人氣:749 ℃時間:2020-10-01 21:18:25
    優(yōu)質解答
    x=6a=2*3*a,y=14b=2*7*b,a、b為正整數(shù),x*y=2*2*3*7*a*b105=3*5*7條件(1)并不能保證x*y是105的整數(shù)倍,條件(2)可以充分滿足x*y是105的整數(shù)倍,所以選B設a、b、c為個位數(shù),依題意有:a*b*c=96=2*2*2*2*2*3,m=100a+10b+c,...
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