Which of the following is the smallest integer that leaves a remainder of 1 when divided by 8Theory: Dividend = Divisor*Quotient + Remainder=> Dividend - Remainder = Divisor*Quotient = Multiple of Quotient = Divisible by the Quotient
=> Option choice - 1 should be divisible by 8 for it to be the correct answer
Let's take each option choice and see which one satisfies this
A. 131=> 131 - 1 = 130, which is NOT divisible by 8 =>
NOT POSSIBLEB. 137=> 137-1 = 136, which IS divisible by 8 =>
POSSIBLEIn Test, we don't need to solve further, but I am solving to complete the solution
C. 145=> 145 - 1 = 144, which IS divisible by 8 => But it is NOT the smallest of all answer choices =>
NOT POSSIBLED. 153=> 153 - 1 = 152, which IS divisible by 8 => But it is NOT the smallest of all answer choices =>
NOT POSSIBLEE. 168=> 168 - 1 = 167, which is NOT divisible by 8 =>
NOT POSSIBLESo,
Answer will be BHope it helps!
Watch the following video to learn the Basics of Remainders