Question : The greatest number by which 2300 and 3500 are divided, leaving the remainder of 32 and 56 respectively, is:
Option 1: 136
Option 2: 168
Option 3: 42
Option 4: 84
Answer (1)
6th Jan, 2024
Correct Answer: 84
Solution :
The numbers obtained by subtracting the remainders are
2300 – 32 = 2268
3500 – 56 = 3444
Now, 2268 = 2 × 2 × 3 × 3 × 3 × 3 × 7
3444 = 2 × 2 × 3 × 7 × 41
The HCF is 2 × 2 × 3 × 7 = 84
Hence, the correct answer is 84.
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