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The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :
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- 8
- 16
- 24
- 32
Correct Option: C
We know that The largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).
Required number = HCF of (989 – 5) and (1327 – 7)
Required number = HCF of 984 and 1320 = 24
∴ HCF = 24
