Let $P, Q, R, S$ be the four sets such that $P = {3, 5, 7, 9, 11}, Q = {9, 11, 13},$ R = \{3, 5, 9\} $a n d$ S = \{13, 11\}$. Which of the following options is/are correct?

R \subset P

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

Q \subset P

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

R \subset S

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

S \subset Q

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

Open in App

Solution

The correct options are
A $R \subset P$
D $S \subset Q$
Given:
$P = {3, 5, 7, 9, 11}, Q = {9, 11, 13},$ R = \{3, 5, 9\} $a n d$ S = \{13, 11\} $T h e r e f o r e,$ R\subset PS\subset Q$

Suggest Corrections

Similar questions

P, Q, R, S

P = {3, 5, 7, 9, 11}, Q = {9, 11, 13},

R = {3, 5, 9}

S = {13, 11}

P : [(⇁ p \lor q) \land (r \to s) \land (p \lor r)] \to (⇁ s \to q)

Q : [(⇁ p \land q) \land [q \to (p \to r)]] \to⇁ r

R : [[(q \land r) \to p] \land (⇁ q \lor p)] \to r

S : [p \land (p \to r) \land (q \lor ⇁ r)] \to q

p, q, r

s

Let PQRS be a kite such that PQ > PS. Prove that ∠PQR > ∠PSR. (Hint: Join QS).

Join BYJU'S Learning Program