A number theory problem by Vraj Mistry

Number Theory Level pending

Rihanna brought home 150 pens but while packing them, she misplaced some of them. When her brother asked how many she had misplaced, she told him:

If you count in pairs, one will remain

If you count in a group of three, two will remain

If you count in a group of four, three will remain

If you count in a group of five, four will remain

If you count in a group of six, five will remain

If you count in a group of seven, nothing will remain.

How many pens do you think has she misplaced ?

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