Number Systems
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Q. If a number is divisible by both 8 and 12, what is the smallest number it could be?
Q. If a number is divisible by both 8 and 12, which of the following must also be true?
Q. If a number is divisible by both 8 and 12, which of the following must it also be divisible by?
Q. If a number is divisible by both 9 and 12, which of the following is guaranteed to be true?
Q. If a number is expressed as 5k + 3 for some integer k, what is the remainder when this number is divided by 5? (2023)
Q. If a number is expressed as 5k + 3, where k is an integer, what is the remainder when this number is divided by 5?
Q. If a number leaves a remainder of 1 when divided by 3 and a remainder of 2 when divided by 4, what is the smallest positive integer that satisfies these conditions?
Q. If a number leaves a remainder of 1 when divided by 4 and a remainder of 2 when divided by 5, what is the smallest positive integer that satisfies these conditions?
Q. If a number leaves a remainder of 1 when divided by 4 and a remainder of 2 when divided by 5, what is the smallest such number?
Q. If a number leaves a remainder of 1 when divided by 4 and a remainder of 2 when divided by 5, what is the maximum possible value of this number? (2023)
Q. If a number leaves a remainder of 2 when divided by 4 and a remainder of 3 when divided by 5, what is the smallest such number?
Q. If a number leaves a remainder of 2 when divided by 5 and a remainder of 3 when divided by 7, what is the smallest such number?
Q. If a number leaves a remainder of 2 when divided by 5, what will be the remainder when this number is divided by 10? (2023)
Q. If a number leaves a remainder of 2 when divided by 5, which of the following numbers will also leave the same remainder when divided by 5? (2023)
Q. If a number leaves a remainder of 2 when divided by 6 and a remainder of 3 when divided by 5, what is the smallest such number? (2023)
Q. If a number leaves a remainder of 3 when divided by 5 and a remainder of 2 when divided by 7, what is the smallest such number?
Q. If a number leaves a remainder of 3 when divided by 5, which of the following numbers will also leave the same remainder when divided by 5?
Q. If a number leaves a remainder of 3 when divided by 7 and a remainder of 5 when divided by 9, what is the smallest such number? (2023)
Q. If a number leaves a remainder of 3 when divided by 7, which of the following could be the number? (2023)
Q. If a number leaves a remainder of 4 when divided by 12, which of the following numbers will also leave the same remainder when divided by 12? (2023)
Q. If a number leaves a remainder of 4 when divided by 6, which of the following numbers could it be?
Q. If a number leaves a remainder of 4 when divided by 8, which of the following numbers will also leave the same remainder when divided by 8?
Q. If a number leaves a remainder of 4 when divided by 8, which of the following numbers will leave a remainder of 4 when divided by 8? (2023)
Q. If a number leaves a remainder of 5 when divided by 12, what will be the remainder when the same number is divided by 4?
Q. If a number leaves a remainder of 5 when divided by 12, which of the following could be the number?
Q. If a number leaves a remainder of 5 when divided by 8, what will be the remainder when this number is divided by 4?
Q. If a number leaves a remainder of 5 when divided by 8, which of the following could be the number?
Q. If a number leaves a remainder of 7 when divided by 10, what will be the remainder when the same number is divided by 5?
Q. If a number x is congruent to 5 modulo 8, which of the following could be a possible value of x?
Q. If a ≡ 2 (mod 3) and b ≡ 1 (mod 3), what is the value of (a * b) mod 3?
