A number between 1000 and 2000 which when divided by 30,' 36 and 80 gives a remainder 11 in each case is

A number between 1000 and 2000 which when divided by 30,' 36 and 80 gives a remainder 11 in each case is
1). 1451
2). 1641
3). 1712
4). 1523

option 1 : 1451 is correct

LCM = 2 × 2 × 3 × 3 × 4 × 5 = 720 Required number = 2 × 720 + 11 = 1440 + 11 = 1451

LCM of 30, 36 and 80 =720, 1000 divided by 720 =remaider 280, =1000+(720-280)=1440, required number=1440+11=1451

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