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Quantitative Aptitude

HCF and LCM

If A is the s...

Question

If A is the set of all integral multiples of 3 and B is the set of all integral multiples of 5, then $A \cap B$ is the set of all integral multiples of:

3 + 5

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5 - 3

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GCD (3, 5)

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LCM (3, 5)

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Solution

The correct option is D LCM (3, 5)
A: {3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...}
B: {5, 10, 15, 20, 25, 30,...}
$A \cap B$ : {15, 30,...}
Clearly, $A \cap B$ is the set of all integral multiples of 15 or in other words LCM (3, 5)

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Similar questions

Q. The set of all integral multiples of

5

is a subgroup of

Q. Let

P =

Set of all integral multiples of

3

;

Q =

Set of integral multiples of

4

;

R =

Set of all integral multiples of

6

. Consider the following relations :

1

P \cup Q = R

2.

P \subset R

3.

R \subset (P \cup Q)

Which of the relations given above is/are correct ?

Q. Consider three sets

A, B, C

such that set A contains all three digit numbers that are multiples of

4,

set

B

contains all three digit even numbers that are multiples of

3

and set

C

contains all three digit numbers that are multiples of

5.

Then the number of elements are present in

n (A \cup B \cup C)

Q. Consider three sets

A, B, C

such that set A contains all three digit numbers that are multiples of

4,

set

B

contains all three digit even numbers that are multiples of

3

and set

C

contains all three digit numbers that are multiples of

5.

Then the value of

\frac{n [(A \cap B) \times (A \cap C)]}{n [(B \cap C) \times (A \cap B \cap C)]}

Q. Consider three sets

A, B, C

such that set A contains all three digit numbers that are multiples of

4,

set

B

contains all three digit even numbers that are multiples of

3

and set

C

contains all three digit numbers that are multiples of

5.

Then the value of

\frac{n [(A \cap B) \times (A \cap C)]}{n [(B \cap C) \times (A \cap B \cap C)]}

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If A is the set of all integral multiples of 3 and B is the set of all integral multiples of 5, then A∩B is the set of all integral multiples of:

The correct option is D LCM (3, 5)A: {3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...} B: {5, 10, 15, 20, 25, 30,...} A∩B: {15, 30,...} Clearly, A∩B is the set of all integral multiples of 15 or in other words LCM (3, 5)

If A is the set of all integral multiples of 3 and B is the set of all integral multiples of 5, then $A \cap B$ is the set of all integral multiples of:

The correct option is D LCM (3, 5)
A: {3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...}
B: {5, 10, 15, 20, 25, 30,...}
$A \cap B$ : {15, 30,...}
Clearly, $A \cap B$ is the set of all integral multiples of 15 or in other words LCM (3, 5)