# Arithmetic Aptitude :: H.C.F and L.C.M

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## 9. Find the largest 4-digit number, which gives the remainder 7 and 13 when divided by 11 and 17?

**Answer:**

**Option B**

**Explanation :**

LCM of 11 and 17 = 187.

When divided by 11 remainder 7,so difference 4.

When devided by 17 remainder 13,so difference 4.

Largest no exactly devide by 11 & 17=9911

The no's = 9911-4 = 9907.

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