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Math SAT - Divisibility and Factors

A test by astha shukla.

Test Questions
  1. Question
    If n is and odd integer, which expression always represents and odd integer?
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  2. Question
    If z represents and even number and y represents any odd number, which of the following numbers is even?
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  3. Question
    After m marbles are put into n jars, each jar contains the same number of marbles, with two marbles remaining. In terms of m and n, how many marbles were put into each jar?
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  4. Question
    If the sum of the factors of 18 is S and the sum of the prime numbers less than 18 is P, then P exceeds S by what number?
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  5. Question
    A jar contains between 40 and 50 marble. If the marbles are taken out of the jar three at a time, two marbles will be left in the jar. If the marbles are taken out five at a time, four marbles will be left in the jar. How many marbles are there in the jar?
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  6. Question
    When a is divided by 7, the remainder is 5; and when b is divided by 7 the remainder is 4. What is the remainder when a+b is divided by seven?
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  7. Question
    How many integers from -3000 to 3000, inclusive, are divisible by 3?
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  8. Question
    When a positive integer, k is divided by 6, the remainder is 1. What is the remainder when 5k is divided by 3?
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  9. Question
    For how many different integers p is 105 divided by 5 also an integer?
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