When a positive integer n is divided by 4, the remainder is 3. Which o

Question

When a positive integer n is divided by 4, the remainder is 3. Which of the following could equal n for some integer t ?

A. 4t + 2
B. 4t
C. 4t – 1
D. 4t – 2
E. 4t – 3

chetan2u · Answer

The statement gives n=4t+3
When t is one less, that is t-1, then n becomes 4(t-1)+3 = 4t-4+3 = 4t-1

C

SaquibHGMATWhiz · Answer

Solution:

It is given that when n is divided by 4, the remainder is 3 
 This means we can say  n=4	imes Q+3  where Q is any integer
 ⇒n=4Q+4-1 
 ⇒4(Q+1)-1 
 ⇒4t-1  where  t = Q+1  is an integer

Hence the right answer is    Option C

Gijmaja · Answer

4t+3 would leave the same remainder as 4t-1.

IshmaelJN · Answer

Great responses in the thread.

I took a slightly different route.

n/4 results in remainder of 3. n=4k+3

if k = 0, n = 3 
if k = 1, n = 7
if k = 2, n = 11...

Resulting in possible n values of 3,7,11,15,19,23

I then looked at the answer choices which all have 4t. With this multiple of 4 I plugged in 3 for t to get 12. Resulting in:

A) 14 (x) 
B) 12 (x)
C) 11 (correct)
D) 10 (x)
E) 9 (x)

Of this, only 11 is on our list. Answer C.

When a positive integer n is divided by 4, the remainder is 3. Which o

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When a positive integer n is divided by 4, the remainder is 3. Which o

Prep Toolkit

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

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My Rewards