Each of the numbers $1, 2, 3$ and $4$ is substituted, in some order for $p, q, r$ and $s$ . What is the greatest possible value of $p^{q} + r^{s}$ ?

14

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

19

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

66

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

83

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

Open in App

Solution

The correct option is B $83$
Let $p = 2, q = 1, r = 3$ and $s = 4$
$\Rightarrow$ $p^{q} + r^{s}$
$\Rightarrow$ $(2)^{1} + (3)^{4}$
$\Rightarrow$ $2 + 81$
$\Rightarrow$ $83$
$∴$ The greatest possible value of $p^{q} + r^{s}$ is $83$ .

Suggest Corrections

Similar questions

Each of the numbers 1, 2, 3 and 4 is substituted, in some order for p, q, r and s. The greatest possible value of $p^{q} + r^{s}$ is:

Ajay asked his friend Arnav to substitute the numbers 1, 2, 3 and 4 in the equation $p^{q} + r^{s}$ , such that the number obtained has the greatest value. Can you help Arnav find the greatest value?

Q. Suppose p, q, r are real numbers such that

q = p (4 - p), r = q (4 - q), p = r (4 - r)

. The maximum possible value of

p + q + r

is?

Find the value of k if PQ and RS are parallel, given P(1, 2), Q(4,5) and R(3, 4), S(8, k).

Q. Suppose

p, q, r

are real numbers such that

q = p (4 - p), r = q (4 - q), p = r (4 - r) .

The maximum possible value of

p + q + r

Join BYJU'S Learning Program

Each of the numbers 1,2,3 and 4 is substituted, in some order for p,q,r and s. What is the greatest possible value of pq+rs?

The correct option is B 83 Let p=2,q=1,r=3 and s=4⇒ pq+rs⇒ (2)1+(3)4⇒ 2+81⇒ 83∴ The greatest possible value of pq+rs is 83.

Each of the numbers $1, 2, 3$ and $4$ is substituted, in some order for $p, q, r$ and $s$ . What is the greatest possible value of $p^{q} + r^{s}$ ?

The correct option is B $83$
Let $p = 2, q = 1, r = 3$ and $s = 4$
$\Rightarrow$ $p^{q} + r^{s}$
$\Rightarrow$ $(2)^{1} + (3)^{4}$
$\Rightarrow$ $2 + 81$
$\Rightarrow$ $83$
$∴$ The greatest possible value of $p^{q} + r^{s}$ is $83$ .