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What is the minimum number which is when divided by 48, 64, 90, 120 leaves 38, 54, 80, 110 respectively?

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What is the minimum number which is when divided by 48, 64, 90, 120 leaves 38, 54, 80, 110 respectively?
1. 2870
2. 2860
3. 2890
4. 2880
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Correct Answer - Option 1 : 2870

Calculation 

48 - 38 = 10

64 - 54 = 10 

90 - 80 = 10 

120 - 110 = 10 

10 is remaining after subtraction

LCM of 48, 64, 90 and 120 = 2880 

Then Required number = 2880 - 10 = 2870 

∴ The required answer is 2870 

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