Multiple choice

Find the largest number which divides 64, 136, and238 to leave the same remainder in each case

  1. 7

  2. 4

  3. 6

  4. 5

  5. 11
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C Correct answer
Explanation

Find HCF of differences: (136-64)=72, (238-136)=102, (238-64)=174. HCF(72, 102, 174) = 6.

AI explanation

To find the largest number that divides 64, 136, and 238 to leave the same remainder in each case, we calculate the highest common factor (HCF) of the differences between the numbers. The differences are 136 - 64 = 72 and 238 - 136 = 102. The HCF of 72 and 102 is 6. The answer is 6.

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