GMAT Quantitative: Number Properties 5

Question 1

If a number leaves a remainder of 3 when divided by 5, what is its remainder when divided by 5 after adding 4?

Accepted Answer

2

Answer

Adding 4 to a remainder of 3 gives 7, and 7 mod 5 = 2.

Question 2

Which of the following must be divisible by 6?

Accepted Answer

Product of three consecutive integers

Answer

Three consecutive integers always include a multiple of 2 and a multiple of 3, so their product is divisible by 6.

Question 3

What is the units digit of 9^10?

Accepted Answer

1

Answer

Powers of 9 alternate 9,1; even exponents end in 1, so 9^10 ends in 1.

Question 4

If the product of two integers is negative, then:

Accepted Answer

One is positive and one negative

Answer

A negative product results only when exactly one factor is negative.

Question 5

How many factors of 2 are in the prime factorization of 24?

Accepted Answer

3

Answer

Since 24 = 2^3 * 3, there are three factors of 2.

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