x and h are both positive integers. When x is divided by 7, the quotie

Question

x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57

Chethan92 · Answer

From the question X = 7H+3.
Since H is an integer. Put H=0,1,2,3,4,5,6....etc.
Then X = 3,10,17,24,31,38,45,52,59.
Hence 52 is the answer.
D

Abhishek009 · Answer

x = 7h + 3

Now, The possible values of x are  { 10, 17 , 24, 31, 38 , 45, 52....................}

Thus, Answer must be (D) 52

KSBGC · Answer

This question can be translated into the following one:

\frac{x}{7} = h + 3

x = 7h + 3 .

Option D: 7*7 + 3 = 52

So, x is 52.

The best answer is D.

JeffTargetTestPrep · Answer

We can create the equation:

x = 7h + 3

We see x is 3 more than a multiple of 7, so x could be 52 since 7 x 7 + 3 = 52.

Answer: D

BrushMyQuant · Answer

When x is divided by 7, the quotient is h with a remainder of 3

Theory: Dividend = Divisor*Quotient + Remainder

x -> Dividend
7 -> Divisor
h -> Quotient
3 -> Remainder

=> x = 7*h + 3 = 7h + 3

=> x - 3 = 7h => x - 3 is a multiple of 7

Let's take each option choice and subtract 3 and see which one becomes a multiple of 7

(A) 7 
7 - 3 = 4 =>   NOT DIVISIBLE   by 7 =>   FALSE

(B) 21 
21 - 3 = 18 =>   NOT DIVISIBLE   by 7 =>   FALSE

(C) 50 
50 - 3 = 47 =>   NOT DIVISIBLE   by 7 =>   FALSE

(D) 52 
52 - 3 = 49 =>   DIVISIBLE   by 7 =>   TRUE  
We don't need to check further, but I am checking to complete the solution.

(E) 57 
7 - 3 = 4 =>   NOT DIVISIBLE   by 7 =>   FALSE

So,  Answer will be D 
Hope it helps!

Watch the following video to learn the Basics of Remainders

https://www.youtube.com/watch?v=P0S6j2uTaj4

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