Quantitative: Number Properties Flashcards
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Read the first 7 Quantitative: Number Properties flashcards as text
If a number leaves a remainder of 3 when divided by 5, what is its remainder when divided by 5 after adding 4?
Answer: 2
Adding 4 to a remainder of 3 gives 7, and 7 mod 5 = 2.
Which of the following must be divisible by 6?
Answer: Product of three consecutive integers
Three consecutive integers always include a multiple of 2 and a multiple of 3, so their product is divisible by 6.
What is the units digit of 9^10?
Answer: 1
Powers of 9 alternate 9,1; even exponents end in 1, so 9^10 ends in 1.
If the product of two integers is negative, then:
Answer: One is positive and one negative
A negative product results only when exactly one factor is negative.
How many factors of 2 are in the prime factorization of 24?
Answer: 3
Since 24 = 2^3 * 3, there are three factors of 2.
Which value of n makes 3n + 1 divisible by 4?
Answer: n = 1
When n = 1, 3(1) + 1 = 4, which is divisible by 4.
What is the remainder when 100 is divided by 9?
Answer: 1
Since 9 * 11 = 99, the remainder is 100 - 99 = 1.