Find -5 (mod 3).

- 5 \equiv (2) (m o d 3)

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

- 5 \equiv (1) (m o d 3)

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

- 5 \equiv (0) (m o d 3)

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

- 5 \equiv (3) (m o d 1)

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

Open in App

Solution

The correct option is B $- 5 \equiv (1) (m o d 3)$

With a modulus of 3 (since the possible remainders are 0, 1, 2) we make a diagram like a clock with numbers 0, 1, 2. We start at 0 and go through 5 numbers in anti-clockwise sequence 2, 1, 0, 2, 1. After doing so cyclically, we end at 1. Therefore, $- 5 \equiv (1) (m o d 3)$

Suggest Corrections

Similar questions

{(\frac{5}{3})}^{- 4} \times {(\frac{5}{3})}^{- 5} = {(\frac{5}{3})}^{3 x} .

53^{\circ} 38^{'}

{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{3} \times {[{(\frac{1}{2})}^{2}]}^{- 2} \times \frac{1}{24} = \frac{m}{5^{6}}

m

3^{5} = x + 5^{3}

x

Join BYJU'S Learning Program