When the integer n is divided by 33, the remainder is 24. Which of the

Question

When the integer n is divided by 33, the remainder is 24. Which of the following must be a divisor of n?

A. 11
B. 9
C. 7
D. 4
E. 3

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sumit99kr · Answer

So n=33k+24= 3(11k +8). 
Hence n is definitely divisible by 3.

Hence E is the correct choice.

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harshittahuja · Answer

When the integer n is divided by 33, the remainder is 24. Which of the following must be a divisor of n?

A. 11
B. 9
C. 7
D. 4
E. 3

Solution:-
let number be n=33x+24
when n=3(11x+8)
so we can say that only 3 must be the number

Archit3110 · Answer

given 
n=33*x+24
x = 0 ; n =24
x=1 ; n = 57
x=2 , n= 90
option E ; 3 is must be divisor of n

Abhishek009 · Answer

n = { 24 , 57...........}

24 = 3*2^3
57 = 3*19

Thus, Divisior must be 3, Answer will be (E)

ScottTargetTestPrep · Answer

We can set up the following equation:

n = 33Q + 24

n = 3(11Q + 8)

n/3 = 11Q + 8

Thus, n must be divisible by 3.

Answer: E

When the integer n is divided by 33, the remainder is 24. Which of the

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GMAT Problem Solving (PS) Questions

When the integer n is divided by 33, the remainder is 24. Which of the

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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