Multiple choice

Let N be the greatest number that will divide 66, 88, 110 leaving the same remainder in each case. then sum of the digits in N is

  1. 5

  2. 4

  3. 6

  4. 3

  5. 7
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The greatest number N that divides 66, 88, 110 leaving the same remainder is the HCF of (88-66) and (110-88), which is HCF(22, 22) = 22. Sum of digits of 22 is 2 + 2 = 4.

AI explanation

To find the greatest number that leaves the same remainder, we use the greatest common divisor method on the differences of the numbers. The differences are 88 minus 66, which is 22, and 110 minus 88, which is 22. The HCF of 22 and 22 is 22, so the required number N is 22. The sum of its digits is 2 plus 2, which equals 4.

Keep practicing — related questions