Question

A number 68XY76 is divisible by 88, then among the following options, which is the minimum value of 2X + 3Y ?

• A. 17
• B. 3
• C. 7
• D. 5

Answer 1

Answer:

C. 7

divisibility rule of 8 - the last three digits of the number must be divisible by 8 given number 68XY76, the value of Y will be either 1 or 9 But in that case, a minimum value is required. we have to take 1 By the divisibility rule of 11, the sums of digits at odd and even places are equal or differ by a number divisible by 11, then the number is also divisible by 11 So, 6 + X + 7 = 8 + 1 + 6 X = 15 - 13 X = 2 Minimum value of 2X + 3Y = 2 × 2 + 3 × 1 2X + 3Y = 4 + 3 2X + 3Y = 7