Let $P, Q, R, S$ be the four sets such that $P = {3, 5, 7, 9, 11}, Q = {9, 11, 13},$ $R = {3, 5, 9}$ and $S = {13, 11}$ . 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 option is D $S \subset Q$
Given:
$P = {3, 5, 7, 9, 11}, Q = {9, 11, 13},$ $R = {3, 5, 9}$ and $S = {13, 11}$
Now, any set $P$ will be a subset of another set $Q$ iff all elements of $P$ will also be an element of $Q$
From the options:
$R \subset P & S \subset Q$

Suggest Corrections

Similar questions

P, Q, R, S

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

a n d

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

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

R

((p, q), (r, s)) ϵ R

p - s = q - r

R

P, Q, R, S

¯ ¯ ¯ p, ¯ ¯ ¯ q, ¯ ¯ ¯ r, ¯ ¯ ¯ s

¯ ¯ ¯ p - ¯ ¯ ¯ q = 2 (¯ ¯ ¯ s - ¯ ¯ ¯ r)

Join BYJU'S Learning Program