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

Properties of Set Operation

If y is an ...

Question

If $y$ is an integer, then the least possible value of $| 23 - 5 y |$ is

1

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

2

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

3

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

4

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

5

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

Open in App

Solution

The correct option is C $2$
$y$ takes only integral values.

$23 - 5 (4) = 3$ $| 3 | = 3$

$23 - 5 (5) = - 2$ $| - 2 | = 2$

After this the value of modulus only increases.

Suggest Corrections

Similar questions

0 \leq x < 4

- 2 \leq y < 3

- 1 \leq z < 5

\leq a

Δ = ∣ ∣ ∣ ∣ ∣ \begin{matrix} [x + 2] & [y] & [z] [x] & [y + 1] & [z] [x] & [y] & [z + 1] \end{matrix} ∣ ∣ ∣ ∣ ∣

5500 > m + 2000 > 5000

m

m

(0.0025) (0.025) (0.00025) \times 10^{k}

\frac{4 α}{α^{2} + 1} \geq 1

α + \frac{1}{α}

α

15, 14, x, 25, 30, 35

23

x

Join BYJU'S Learning Program