67th B.P.S.C. (Pre) 2022

How many numbers between 200 and 600 are divisible by 4, 5 and 6?

a4 $\quad$
b5
c6 $\quad$✓ Correct
d8
eNone of the above/More than one of the above

Explanation

The number of such multiples of LCM of 4, 5 and 6, which lie between 200 and 600. <table> <tr> <th></th> <th>2</th> <th>4,</th> <th>5,</th> <th>6</th> </tr> <tr> <td></td> <td>2</td> <td>2,</td> <td>5,</td> <td>3</td> </tr> <tr> <td></td> <td>3</td> <td>1,</td> <td>5,</td> <td>3</td> </tr> <tr> <td></td> <td>5</td> <td>1,</td> <td>5,</td> <td>1</td> </tr> <tr> <td></td> <td></td> <td>1,</td> <td>1,</td> <td>1</td> </tr> </table>

general-mental-ability