Find the least positive number, which leaves, if divided by 3, 5, and

Question

Find the least positive integer, which leaves, if divided by 3, 5, and 12, a remainder of 2.

(A) 122
(B) 62
(C) 42
(D) 12
(E) 2

PyjamaScientist · Answer

Let the no that leaves remainder of 2 when divided by 3, 5 and 12 be Q. We can safely say that Q-2 will be a multiple of 3, 5 and 12. Which means Q is a common multiple of 3, 5, and 12. We are required to find the least no. that leaves the remainder 2 when divided by 3, 5 and 12. In our case, we can find the least value of Q-2, which is the multiple of 3, 5, and 12. Least common multiple of 3,5, and 12 is 60. Thus, Q = 62. Option  (B) .

TarunKumar1234 · Answer

LCM of 3, 5 and 12 = 60 And number has remainder 2, so the number will be 60+2 =62. So, I think B.

desertEagle · Answer

The number will be LCM (3, 5, 12) + 2 = 62

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Bunuel · Answer

____________________
Anyone else want to try?

Archit3110 · Answer

It should be option E ; 2
2= 3*0+2
2=5*0+2
2=12*0+2

least reminder is 2 for all the divisors at multiple '0'

JenniferMassey · Answer

E , least positive number that will leave 2 as remainder is 2 when divided by 3,5,12.

What level question is this?

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upanatum · Answer

2 divided by 3 is 0 remainder 2,
2 divided by 5 is 0 remainder 2, 
and 2 divided by 12 is 0 remainder 2.

I would go with option E.

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NCC · Answer

The question asks for a positive integer so 0 cannot be taken. Isn't that right?
Ans - 62

rsama · Answer

The question asks for " least positive integer which leaves 2 as a remainder when divided by 3,5 and 12 ", so it is asking for the number and not the quotient.

Regor60 · Answer

A little logic works in focusing on the disputed answer choices.

If 62 satisfies because dividing by 12 leaves a remainder of 2, then 2 also satisfies because it leaves a remainder of 2 when divided by 12.

And since 2<62, 2 is the answer

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RC_xx · Answer

Although many have said that the correct answer is 62, I too thought it was, but on deeper reflection it is easier to visualize that the correct answer is E because 2/3 0 R= 2 2/5 = 0 R= 2 as well as for 12 r= 2

monker1231 · Answer

The number would be 64 (62 + Rest: 2) then according to your solution, but this is not in the answer choices

Find the least positive number, which leaves, if divided by 3, 5, and

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Find the least positive number, which leaves, if divided by 3, 5, and

Prep Toolkit

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

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From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

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