If n is a member of both set A -4-7- 1- 5-2- 4- 1-2- 7 and set B -4-7- 7-4- 4- 7- which of the following must be true-I- n is an integer-II- 4n is an integer-III- n-4

The correct option is A NoneNone of the criteria satisfy all the elements in the intersection. 47 is not an integer nor is 4× 47 an integer.Of cours ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Definition of Sets

If n is a mem...

Question

If n is a member of both set A $= {\frac{4}{7}, 1, \frac{5}{2}, 4, \frac{1}{2}, 7}$ and set B $= {\frac{4}{7}, \frac{7}{4}, 4, 7}$ , which of the following must be true?
I. n is an integer.
II. $4 n$ is an integer.
III. $n = 4$

None

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

II only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

I and II only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

I and III only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

I, II, and III

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A None
None of the criteria satisfy all the elements in the intersection.

$\frac{4}{7}$ is not an integer nor is $\frac{4 \times 4}{7}$ an integer.

Of course 4 is not the only element in the intersection. Hence 3 is untrue.

Suggest Corrections

Similar questions

A = {\frac{4}{7}, 1, \frac{5}{2}, 4, \frac{11}{2}, 7}

B = {\frac{4}{7}, \frac{7}{4}, 4, 7}

n

is a member of both set

A

and set

B

above, which of the following must be true?
I.

n

is an integer
II.

4 n

is an integer
III.

n = 4

Q. Which of the following will have two stereoisomeric forms only?
(I)

[C r (N O_{2})_{3} (N H_{3})_{3}]

(II)

K_{3} [F e (C_{2} O_{4})_{3}]

(III)

[C o C l_{2} (e n)_{2}]^{+}

(IV)

[C o B r C l (o x)_{2}]^{3 -}

Let A and B be two sets such that n(A)=20, n(AUB)=42, n(AintersectionB)=4.

Find i) n(B)

ii) n(A-B)

iii) n(B-A)

Q. Q. For an integer if

n^{3}

is odd, which of the following statements are true?
I. n is odd
II.

n^{2}

is odd
III.

n^{3}

is even

Let A and B be two sets such that : n (A) = 20 , $n (A \cup B) = 42 a n d n (A \cap B) = 4$ . Find

(i) n (B) (ii) n (A - B)

(iii) n (B - A)

Join BYJU'S Learning Program

If n is a member of both set A={47,1,52,4,12,7} and set B={47,74,4,7}, which of the following must be true?I. n is an integer.II. 4n is an integer.III. n=4

The correct option is A NoneNone of the criteria satisfy all the elements in the intersection.47 is not an integer nor is 4×47 an integer.Of course 4 is not the only element in the intersection. Hence 3 is untrue.

If n is a member of both set A $= {\frac{4}{7}, 1, \frac{5}{2}, 4, \frac{1}{2}, 7}$ and set B $= {\frac{4}{7}, \frac{7}{4}, 4, 7}$ , which of the following must be true?
I. n is an integer.
II. $4 n$ is an integer.
III. $n = 4$

The correct option is A None
None of the criteria satisfy all the elements in the intersection.

$\frac{4}{7}$ is not an integer nor is $\frac{4 \times 4}{7}$ an integer.

Of course 4 is not the only element in the intersection. Hence 3 is untrue.