Question

there are a certain number of students in a club, If the students are put into 3 equal groups, there is 1 student without a group.If the students are put into 4 equal groups, 1 student is still without a group If the students are put into 7 equal groups, no one is left without a group

Answer 1

Answer:49

Step-by-step explanation:

no.of students should be a multiple of 7 as noone is left when put into 7 equal groups.

So let's consider all the multiples of 7

7

Remainder when divided by 3 : 4

Remainder when divided by 4 : 3

14

Remainder when divided by 3 : 2

Remainder when divided by 4 : 2

21

Remainder when divided by 3 : 0

Remainder when divided by 4 : 1

28

Remainder when divided by 3 : 1

Remainder when divided by 4 : 0

35

Remainder when divided by 3 : 2

Remainder when divided by 4 : 3

42

Remainder when divided by 3 : 0

Remainder when divided by 4 : 2

49

Remainder when divided by 3 : 1

Remainder when divided by 4 : 1

So, 49 is the answer.

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