For positive integers p and q, with \(\frac{p}{q}\ne 1\),…

GATE · 2024 · BM · General AptitudeGATE · 2024 · CE · Set 1 · General AptitudeGATE · 2024 · CH · General AptitudeGATE · 2024 · EY · General AptitudeGATE · 2024 · GG · General AptitudeGATE · 2024 · XH · General Aptitude

For positive integers p and q, with \(\frac{p}{q}\ne 1\), \(\left(\frac{p}{q}\right)^{\frac{p}{q}}=p^{\left(\frac{p}{q}-1\right)}\). Then,

  1. A.

    \(q^p=p^q\)

  2. B.

    \(q^p=p^{2q}\)

  3. C.

    \(\sqrt{q}=\sqrt{p}\)

  4. D.

    \(\sqrt[p]{q}=\sqrt[q]{p}\)

Attempted by 2 students.

Show answer

Correct answer: A

The worked solution is available to enrolled students.

Explore the full course: Iocl Engineers Officer Grade A Paper 1

Loading lesson…