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I have the following two doubts inn the lesson Real numbers I would really be very thankful if someone helps me ! Q1 ) A certain number when divided by 899 leaves the remainder 63 . FInd the remainder when the same number is divided by 29 . Q2 ) A is a set of positive integers such that when divided by 2,3,4,5 and 6 leaves the remainders 1,2,3,4 and 5 respectively . How many integer(s) between 0 and 100 belong to set A? Thanks in advance 1

I have the following two doubts inn the lesson Real numbers


I would really be very thankful if someone helps me !


Q1 ) A certain number when divided by 899 leaves the remainder 63 . FInd the remainder when the same number is divided by 29 .


Q2 ) A is a set of positive integers such that when divided by 2,3,4,5 and 6 leaves the remainders 1,2,3,4 and 5 respectively . How many integer(s) between 0 and 100 belong to set A?


Thanks in advance 1

Grade:10

1 Answers

jitender lakhanpal
62 Points
7 years ago

ans 1)   the remainder is 5

899 is divisible by 29

the number is of form 899 *x + 63

when you divide it by 29 first part will be divided completely and when u divide 63 by 29 you will get 5

ans 2 )    the number is odd as 2 is not a factor and not a multiple of 3 , 5 ,4, 6

it may be  a multiple of 7 , 11 , 13 , 17 ,19 , 23, 29 , 31, 37 , 41 , 43 ,47,53,59 , 61, 67, 71, 73, 79,83,89,

check it for these numbers you will get the answer

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