Test: Factors And Multiples- 1

QUESTION: 1

How many unique divisors does 222 have?

A.
4
B.
6
C.
8
D.
10

Solution:

There are total 8 divisor of 222 i.e. 1, 2, 3, 6, 37, 74, 111, 222

QUESTION: 2

How many multiples of 3 exist between –10 and 10?

A.
3
B.
4
C.
7
D.
6

Solution:

Multiples of 3 exist between -10 and 10 are -9, -6, -3, 3, 6, 9

QUESTION: 3

How many multiples of 2 exist between -10 and 10?

A.
4
B.
5
C.
8
D.
9

Solution:

Multiples of 2 between -10 and 10 are -8, -6, -4, -2, 2, 4, 6, 8

QUESTION: 4

Is integer y divisible by 24?

1) y is divisible by 6 ?

2) y is divisible by 4 ?

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: 5

Is integer y divisible by 16?

1) y is divisible by 8

2) 2y is divisible by 16

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

Is integer y divisible by 16?

1) y² is divisible by 16

2) y³ is divisible by 16

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

Integer x represents the product of all integers between 1 and 25, inclusive. The smallest prime factor of (x + 1) must be _____.

A.
between 1 and 10 ?
B.
between 11 and 20
C.
between 21 and 25
D.
greater than 25

Solution:

QUESTION: 8

If h(x) = product of all the multiples of 3 from 3 to x, inclusive, then the smallest prime factor of h(150) + 1 must be………

A.
between 2 and 10
B.
between 11 and 20
C.
between 21 and 40
D.
greater than 40

Solution:

QUESTION: 9

Is x divisible by y?

1) (x – 1) is divisible by y

2) x > y

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

Is x divisible by y?

1) x is a multiple of (y + 1)

2) y > 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: 11

If the product of the integers a, b, c, and d is 1,155 and if a > b > c > d > 1, then what is the value of a – d?

A.
2
B.
8
C.
10
D.
11

Solution:

QUESTION: 12

What is the greatest common factor of positive integers x and y?

1) x and y share only one common factor. ?

2) x and y are unique prime numbers. ?

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