Sassy and Missy are playing a number game in which both ask one question each- Sassy-s question to Missy is- -If -p is a real number and pq2 - 64- find the number of possible values of q-Hint- If q2 - 9- then q - 3 and -3 since 32 - -32 - 9-

Given: √(p) is a real number. pq^2 = 64 As it is given √(p) is an real number, the value of q^2 will be 1, 4, 9, 16, and so on. If pq^2 = 64, then the possib ...

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

Byju's Answer

Standard XII

Mathematics

Method of Intervals

Sassy and Mis...

Question

Sassy and Missy are playing a number game in which both ask one question each. Sassy's question to Missy is, "If $\sqrt{p}$ is a real number and $p q^{2} = 64$ , find the number of possible values of q."

$(Hint: If q^{2} = 9, then q = 3 and - 3$ $since 3^{2} = (- 3)^{2} = 9.)$

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

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

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

Open in App

Solution

The correct option is C 6
Given: $\sqrt{p} is a real number.$

$p q^{2} = 64$

As it is given $\sqrt{p}$ is an real number, $the value of q^{2} will be 1, 4, 9, 16, and so on.$

$If p q^{2} = 64, then the possible values of p and q$ will be (1, 8), (4, 4), (8, 1) and also negative values of q like (1, –8), (4, –4), and (8, –1).

Therefore, there are 6 possible values for q for the above condition.

Suggest Corrections

Similar questions

Question 70

If $\frac{p}{q} = {(\frac{3}{2})}^{2} \div {(\frac{9}{4})}^{0},$ Find the value of ${(\frac{p}{q})}^{3} .$

Find the smallest $4$ -digit number which is divisible by $18, 24$ and $32$ .

Q. Find all possible values of y for which the 4-digit number 64y3 is divisible by 9. Also, find the numbers.

Q. If A be one A.M. and p, q be two G.M.'s between two numbers, then 2 A is equal to
(a)

\frac{p^{3} + q^{3}}{p q}

(b)

\frac{p^{3} - q^{3}}{p q}

(c)

\frac{p^{2} + q^{2}}{2}

(d)

\frac{p q}{2}

Q. If

p = 3

and

q = - 3

, find the value of:
a)

2 p + q - 3 q p

p^{2} q^{2} + p^{3} - q^{3} + {p q}^{2} + p^{2} q

Join BYJU'S Learning Program

Sassy and Missy are playing a number game in which both ask one question each. Sassy's question to Missy is, "If √p is a real number and pq2=64, find the number of possible values of q." (Hint: If q2=9, then q=3 and –3 since 32=(–3)2=9.)

Sassy and Missy are playing a number game in which both ask one question each. Sassy's question to Missy is, "If $\sqrt{p}$ is a real number and $p q^{2} = 64$ , find the number of possible values of q."

$(Hint: If q^{2} = 9, then q = 3 and - 3$ $since 3^{2} = (- 3)^{2} = 9.)$