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Test: Prime Numbers- 1

20 Questions MCQ Test Quantitative Aptitude for GMAT | Test: Prime Numbers- 1

Description

This mock test of Test: Prime Numbers- 1 for GMAT helps you for every GMAT entrance exam. This contains 20 Multiple Choice Questions for GMAT Test: Prime Numbers- 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Prime Numbers- 1 quiz give you a good mix of easy questions and tough questions. GMAT students definitely take this Test: Prime Numbers- 1 exercise for a better result in the exam. You can find other Test: Prime Numbers- 1 extra questions, long questions & short questions for GMAT on EduRev as well by searching above.

QUESTION: 1

If m and n are two different prime numbers, then the least common multiple of the two numbers must equal which one of the following?

A.
mn
B.
m - n
C.
m + n
D.
m + mn

Solution:

QUESTION: 2

Is the product of two numbers x and y a prime number?

1) x and y are two prime numbers.

2) x and y are two odd numbers not equal to 1.

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 3

How many prime numbers exist between 200 and 220?

A.
0
B.
1
C.
2
D.
3

Solution:

Odd numbers between 200 and 220 are:

201, 207, 210, 213, 219 are divisible by 3 (because the sum of their digits is divisible by 3).

205, 215 are divisible by 5.

Hence, we have to check just the following numbers: 203, 209, 211 and 217. Now,

203 = 7*29 (Not prime).
209 = 11*19 (Not prime).
211 = Prime
217 = 7*31 (Prime).

So there is only one prime number between 200 and 220.

QUESTION: 4

If x and y are prime numbers, which of the following CANNOT be the sum of x and y?

A.
5
B.
9
C.
16
D.
23

Solution:

If x = 2 and y = 3 then the sum of these prime numbers is 5..

If x = 2 and y = 7, then sum of these prime numbers 9

If x = 3 and y = 13, then then sum of these prime numbers is 16

But in case of option D there are no two prime numbers that can be added to get 23.

Hence option D is correct.

QUESTION: 5

An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?

1) The tens digit of n is a factor of the units digit of n
2) The tens digit of n is 2

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 6

If x is a positive integer, is x prime?

1) x has the same number of factors as y2, where y is a positive integer greater than 2.
2) x has the same number of factors as z, where z is a positive integer greater than 2.

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 7

Which of the following could be the median of a set consisting of 6 different primes?

A.
3
B.
9.5
C.
12.5
D.
39

Solution:

QUESTION: 8

Set A consists of 8 distinct prime numbers. If x is equal to the range of set A and y is equal to the median of set A, is the product xy even? ?

1) The smallest integer in the set is 5.

2) The largest integer in the set is 101. ?

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 9

If x is an integer, is x! + (x + 1) a prime number?

1) x < 10

2) x is even

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 10

If k is a positive integer. Is k a prime number??

1) No integers between "2" and "square root of k" inclusive divides k evenly

2) No integers between 2 and k/2 divides k evenly, and k is greater than 5.

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 11

Is the product of three integers xyz a prime number?

1) x = -y

2) z = 1

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 12

If p is a prime number greater than 2, what is the value of p?

1) There are a total of 100 prime numbers between 1 and p + 1

2) There are a total of p prime numbers between 1 and 3912

A.
Exactly one of the statements can answer the question
B.
Both statements are required to answer the question
C.
Each statement can answer the question individually
D.
More information is required as the information provided is insufficient to answer the question

Solution:

QUESTION: 13