Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.
Answer: B
The required number is the HCF of the differences between the given numbers. The differences are \((132 - 62) = 70\), \((237 - 132) = 105\), and \((237 - 62) = 175\). We need to find the HCF of 70, 105, and 175. \(70 = 2 \times 5 \times 7\), \(105 = 3 \times 5 \times 7\), \(175 = 5^2 \times 7\). The highest common factor is \(5 \times 7 = 35\).