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  1. Find the number lying between 900 and 1000 which when divided by 38 and 57, leaves in each case a remainder 23 ?
    1. 935
    2. 945
    3. 925
    4. 955
Correct Option: A

The least common multiple of 38 and 57 is 114 and the multiple which is between 900 and 1000 is 912.

Now, 912 + 23 i,e 935 lies between 900 and 1000 and when divided by 38 and 57 leaves in each case 23 as the remainder.

Therefore, 935 is number required.



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