GMAT Practise Test

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Bijou: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Tue Feb 07, 2012 9:29 am

by Bijou » Sun Feb 12, 2012 8:41 am

Hi everyone,

I have a difficulty with the answer of the following question of one of the GMAT's sample test:

When N is divided by T, the quotient is S and the remainder is V. Which of the following expressions is equal to N?

A - ST
B - S + V
C - ST +V
D - T(S+V)
E - T(S-V)

Before I took this as an easy question, but the answer is not deducible to me. I calculated with an example:
N = 35, T=17 thus N/T = 35/17 = 2 + 1/17, which means S=2 and V=1/17

In order to get N (35) I multiply by 17 getting: 35 = 2(17) + 1/17(17) thus T(S+V), answer D. That is what I assumed, but it's wrong. Can anyone explain me my mistake please?

THanks a lot in advance.

Source: Beat The GMAT — Problem Solving | Sun Feb 12, 2012 8:41 am

pemdas: Legendary Member; Posts: 1084; Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members; Thanked: 158 times

by pemdas » Sun Feb 12, 2012 12:33 pm

you have wrongly assumed the remainder as fraction in your example (selected in read)
the remainder should be not 1/17 but 1 and the correct quotient remainder formula will look as following

either N/T=S+V/T or N=ST+V
N=35, T=17, S=2, V=1 -> either 35/17=2+1/17 or 35=2*17+1

the remainder isn't fraction but whole number

Bijou wrote:Hi everyone,

I have a difficulty with the answer of the following question of one of the GMAT's sample test:

When N is divided by T, the quotient is S and the remainder is V. Which of the following expressions is equal to N?

A - ST
B - S + V
C - ST +V
D - T(S+V)
E - T(S-V)

Before I took this as an easy question, but the answer is not deducible to me. I calculated with an example:
N = 35, T=17 thus N/T = 35/17 = 2 + 1/17, which means S=2 and V=1/17

In order to get N (35) I multiply by 17 getting: 35 = 2(17) + 1/17(17) thus T(S+V), answer D. That is what I assumed, but it's wrong. Can anyone explain me my mistake please?

THanks a lot in advance.

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luiscarlos59: Senior | Next Rank: 100 Posts; Posts: 61; Joined: Sun Mar 13, 2011 12:34 pm; Thanked: 1 times

by luiscarlos59 » Sun Feb 12, 2012 3:32 pm

Take
11 = 5 x 2 + 1

N = S x T + V

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Feb 12, 2012 8:18 pm

In general, if a positive integer, x when divided by positive integer, y, then x = qy + r, where q is the quotient and r is the remainder (0 ≤ r < y).

Therefore, N = ST + V

The correct answer is C.

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by [email protected] » Sun Feb 12, 2012 8:30 pm

Yes the correct answer is C. The formula or format for division goes like this:

Dividend = Quotient * Divisor + Remainder

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