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When the integer x is divided by the integer y, the remainder is 60.
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21 May 2021, 06:44
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When the integer x is divided by the integer y, the remainder is 60 => x = y*q + 60, where q is the quotient
================================================================== Theory Now the question is interesting as they have written the quotient as a decimal number. Now, lets understand that using a simple example first 20 when divided by 4 gives 5 as quotient, that's straight forward right. 20 when divided by 3 gives 6 as quotient and 2 as remainder, that's easy too Now, 20 when divided by 3 gives 6.67 (approx.) as quotient. Now this is what they mean when they say that x/y quotient is 15.15 in option 1. Lets go bit deeper into this, this means that 20 when divided by 3 gives 0.67 * 3 as remainder, which is nothing but 2 So, 0.67*3 will be the remainder ==================================================================
Now, with that context lets attempt the problem.
I. \(\frac{x}{y}\) quotient is 15.15 => 0.15*y = 60 => y = \(\frac{60}{0.15}\) => y = 400 => Possible as y is integer II. \(\frac{x}{y}\) quotient is 18.16 => 0.16*y = 60 => y = \(\frac{60}{0.16}\) => y = 375 => Possible as y is integer III. \(\frac{x}{y}\) quotient is 17.17 => 0.17*y = 60 => y = \(\frac{60}{0.17}\) => y = 352.3 => NOT Possible as y is NOT an integer
So, I and II are correct So, Answer will be D Hope it helps!
1) GRE Lesson: Remainders Basics (PSAT\SAT\ACT\GMAT\GRE\Bank PO)
Re: When the integer x is divided by the integer y, the remainder is 60.
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31 Aug 2024, 20:21
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Re: When the integer x is divided by the integer y, the remainder is 60. [#permalink]