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This mock test of Test: Factors And Multiples- 3 for GMAT helps you for every GMAT entrance exam.
This contains 15 Multiple Choice Questions for GMAT Test: Factors And Multiples- 3 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

If *n *is an integer, is *n*/18 an integer?

1) 5n/18 is an integer

2) 3n/18 is an integer

Solution:

QUESTION: 2

If m and n are nonzero integers, is m/n an integer?

1) 2m is divisible by n

2) m is divisible by 2n

Solution:

QUESTION: 3

Susie can buy apples from two stores: a supermarket that sells apples only in bundles of 4, and a convenience store that sells single, unbundled apples. If Susie wants to ensure that the total number of apples she buys is a multiple of 5, what is the minimum number of apples she must buy from the convenience store?

Solution:

QUESTION: 4

In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?

Solution:

QUESTION: 5

Does the integer p have an odd number of distinct factors?

1) p = q^{2,} where q is a nonzero integer

2) p = 2n + 1, where n is a nonzero integer

Solution:

QUESTION: 6

If n is a non-negative integer such that 12^{n} is a divisor of 3,176,793, what is the value of n^{12} – 12^{n} ?

Solution:

QUESTION: 7

For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 1000, what is the maximum possible sum of the length of x and the length of y? ?

Solution:

QUESTION: 8

If P, Q, R, and S are positive integers, and P/Q = R/S, is R divisible by 5?

1) P is divisible by 140

2) Q = 7^{x}, where x is a positive integer

Solution:

QUESTION: 9

What is the positive integer *n*??

1) The sum of all of the positive factors of *n* that are less than *n* is equal to *n*

2) *n* < 30 ?

Solution:

QUESTION: 10

How many numbers that are not divisible by 6 divide evenly into 264,600?

Solution:

QUESTION: 11

Does the integer k have a factor p such that 1 < p < k?

1) K > 4!

2) 13! + 2 ≤ k ≤ 13! + 13

Solution:

QUESTION: 12

If n is a positive integer less than 200 and 14n/60 is an integer, then n has how many different positive prime factors?

Solution:

QUESTION: 13

The positive integers x, y, and z are such that x is a factor of y and y is a factor of z. Is z even?

1) xz is even

2) y is even ?

Solution:

QUESTION: 14

How many multiples of 4 are there between 12 and 96, inclusive?

Solution:

QUESTION: 15

10^{25} – 560 is divisible by all of the following EXCEPT:

Solution:

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