When positive numbers x, y and z are divided by 31, the remainders are 17, 24 and 27, respectively. When (4x - 2y + 3z) is divided by 31, the remainder will be:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 8
Concept
Dividend = Divisor x Quotient + Remainder
Application
Let quotient be 0 in each number, we get x = 17.
Similarly, we get y = 24 and z = 27
As per the question, when (4x - 2y + 3z) is divided by 31
Putting the value of x, y and z
( 4 x 17 - 2 x 24 + 3 x 27) / 31
= 101 / 31, it will leave a remainder as 8.