If x and y are two missing digits of the numbers x304 and y5317 such that the numbers are divisible by 17 and 29 respectively then find the value of x + y.

Question

Abhilash Singh · Accepted Answer

Answer:  It is given that,  x304 is divisible by 17 and y5317 is divisible by 29.  Finding the value of x:  Using the divisibility rule of 17 and applying it on x304:  Multiply the last digit with 5 and subtract it from the remaining number  ⇒ x30 – 5*4 = x10  ⇒ x1 - 5*0 = x1  ⇒ x - 5*1  Now, x – 5 should be divisible by 17.  Since x – 5 will result in a single-digit number, x – 5 should give 0 to be divisible by 17.  Here, x = 5 is the only possible case for the number to be divisible by 17.  Hence, x = 5  Finding the value of y:  Using the divisibility rule of 29 and applying it on y5317:  Multiply the last digit with 3 and add it to the remaining number.  ⇒ y531 + 3*7 = y552  ⇒ y55 + 3*2 = y61  ⇒ y6 + 3*1 = y9  ⇒ y + 3*9  Now, y + 27 should be divisible by 29.  Since, y + 27 will range from 27 to 36, y + 27 should give 29 to be divisible by 29.  Here, y = 2 is the only possible case for the number to be divisible by 29.  Hence, y = 2  Therefore, x + y= 7  Hence, (c) is the correct answer

Answer

Comments

Share QOTD

Attempt Daily Current
Affairs Quiz

Latest Current Affairs

Popular Blog

Popular Blog

Latest Current Affairs

Latest Banking Awareness

Resources

Exams

Quiz

Current Affairs

Study Material

Courses

Offerings

Company

Trending Exams

Answer

Comments

Share QOTD

Attempt Daily Current Affairs Quiz

Latest Current Affairs

Popular Blog

Popular Blog

Latest Current Affairs

Latest Banking Awareness

Sign in

Attempt Daily Current
Affairs Quiz