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Test: Factors And Multiples- 3


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15 Questions MCQ Test Quantitative for GMAT | Test: Factors And Multiples- 3

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Test: Factors And Multiples- 3 - Question 1

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

1) 5n/18 is an integer
2) 3n/18 is an integer
 

Test: Factors And Multiples- 3 - 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
 

Test: Factors And Multiples- 3 - 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? 

Test: Factors And Multiples- 3 - 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? 

Test: Factors And Multiples- 3 - Question 5

Does the integer p have an odd number of distinct factors?
1) p = q2, where q is a nonzero integer
2) p = 2n + 1, where n is a nonzero integer

Test: Factors And Multiples- 3 - Question 6

If n is a non-negative integer such that 12n is a divisor of 3,176,793, what is the value of n12 – 12n

Test: Factors And Multiples- 3 - 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? ?

Test: Factors And Multiples- 3 - 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 = 7x, where x is a positive integer 

Test: Factors And Multiples- 3 - 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 ?

Test: Factors And Multiples- 3 - Question 10

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

Test: Factors And Multiples- 3 - Question 11

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

1) K > 4!

2) 13! + 2 ≤  k ≤ 13! + 13

Test: Factors And Multiples- 3 - 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? 

Test: Factors And Multiples- 3 - 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 ?

Test: Factors And Multiples- 3 - Question 14

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

Test: Factors And Multiples- 3 - Question 15

1025 – 560 is divisible by all of the following EXCEPT:

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