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If the 8-digit number 2074x4y2 is divisible by 88, then the value of (4x + 3y) is:
36
42
45
49
Correct Option is 3 - 45
Solution
If 8 digit number 2074x4y2 is divisible by 88, the number will also be divisible by 8 and 11 both. A number will be divisible by 8 if the last three digits of a number is divisible by 8. The divisibility rule of 11 is that you must subtract and then add the digits in an alternating pattern from left to right. If your answer is 0 or 11 then it is divisible by 11. ⇒ 4y2 is divisible by 8 if y = 3 or 7 If y = 3, then ⇒ 2074x432 will be divisible by 11 if x = 9 If y = 7, then ⇒2074x472 is divisible by 11 if x = 5 Now we can say, if y = 3 then x = 9 and if y = 7, then x = 5 ⇒(4x + 3y) ⇒ (4 × 9+ 3 x 3) = 36+ 9 = 45 ⇒ (4 x 5 + 3 x 7) = 20 + 21 = 41
By: santosh ProfileResourcesReport error
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