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The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is
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- 136
- 168
- 42
- 84
Correct Option: D
As 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 2300 – 32 = 2268 and 3500 – 56 = 3444
∴ HCF = 84
Hence , Required number = 84
