Is the number of distinct prime factors of the positive integer X more than 4?
(1) X is a multiple of 42.
(2) X is a multiple of 98.
Is a positive integer n a multiple of 12
(1) n is a multiple of 6
(2) n is a multiple of 24
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If a and b are positive integers, what is the remainder when 74a + b is divided by 4?
1) a = 2
2) b = 3
If x, y, and z are positive integers, is x+y divisible by 5?
1) x+z is divisible by 5
2) y+z is divisible by 5
What is the remainder when the positive three-digit number xyz is divided by 9?
(1) The three-digit number whose hundreds digit is (x+2), tens digit is (y+1) and units digit is z, is divisible by 9
(2) xyz is divisible by 7
Is the tens digit of two-digit positive integer p divisible by 3?
(1) p – 5 is a multiple of 3.
(2) p – 11 is a multiple of 3.
If x, y, z are positive integers, is xyz divisible by 6?
(1) x, y, z are consecutive.
(2) x + y + z is a multiple of 3.
If 4 is a factor of positive integer x and 9 is a factor of positive integer y, is 42 a factor of xy?
(1) 14 is a factor of x.
(2) 25 is a factor of y.
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.
If s is an integer, is 24 a divisor of s ?
(1) Each of the numbers 3 and 8 is a divisor of s.
(2) Each of the numbers 4 and 6 is a divisor of s.