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					 Find the number lying between 900 and 1000 which when divided by 38 and 57, leaves in each case a remainder 23 ?
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                        - 935
- 945
- 925
- 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. 
 
	