hello guys in this video I'll use of

three simple questions of a quantitative

part of GMAT exam so let's go to the

first one and say that it male saved

more than $10 by purchasing a sweater

and a 15% Eastin

what's the is most amount the original

price of this world could be to the

nearest dollar to begin this question I

warn you that the question say anything

about the price of the sweater I don't

know how much cost the sweater so I will

cover example X the sweaters price I

also know that mail received 15% of

these got a soul I know that the Biskind

that Mary received is 15% of X and once

the questions said that mal saved more

than $10 I know that 15% of X must be

greater than 10 so we got the inequality

here and to solve this inequality

I will begin dividing both sides by 5 so

if I divide 15 by 2/5 and for example I

got a 3 and if I divide 10 by 5

they are 2 so we we have that 3x here

must be greater than 100 times 2 is 200

so this implies that X must be greater

than 200 divided by 3 okay so if we

divide 200 by 3 we get approximately 60

60 point 60 60 if we round to the

nearest dollar we got that is

here must be 67 so the correct answer of

this question is the letter B let's look

the second one

in this question we have that five

machines at a certain faction operate at

the same concentrate if four of these

machines operating simultaneously take

30 hours to fuel a certain product order

how many fewer hours does it takes all

five machines operating simultaneously

to fill the same product order okay this

question deals about machines and about

the amount of hours that machines do a

certain job we know that four machines

do the job in 30 hours three and we have

to find out the amount of hours that

five machines do the same job at the

same concentrate so I have to find out

the amount of hours that five machines

do the job I warn you that if we crease

the number of machines here the number

of hours that those of five machines do

the same job have to decreased if we

increase the number of machines the

number of hours they amount of hours to

do the same job there is a way this

number of hours have to decrease so to

put the proportion of about this

question in a correct way we have to

consider that fire 4 over 5 must be

equals to x over 30 instead to consider

for our 5 equals 30 divided by X we

invert it here because the quantities

involved in this question are inversely

proportional ok so we got that 5 times X

here is 5x

and four times 30 is equals 120 so this

implies that X must be equals to 100 a

trainee divided by five 120 divided by

five is a twenty four hours so five

machines will do the same job in 24

hours we know at the beginning that four

machines do the job in 30 and five

machines got that those five machines do

the job in trained four hours

so the answer to how many fewer hours

does it take the five machines operating

simultaneously to feel the same product

as 30-30 24 we got 6 hours so the answer

of this question is letter C let's go to

the last one in this question we have

that stephanie has 2 and 1/4 cups of

milk on hand and make 2 bags of cookies

using 2/3 cup cup of milk for each batch

of cookies so I know that is Stephanie

uses 2/3 cups of milk in each batch but

she prepared 2 bags of cookies so the

amount of milk that Stephanie used is

4/3 cups of milk in the beginning of the

question said that stephanie has 2 and

1/4 cups of milk on hand and in the

ending note see that the question asked

us which of the following describes they

are mod of the remaining so the

remaining milk must be equal to 2 and

1/4 minus the amount that she used that

4/3 of cups

okay to perform this subtraction here we

put this mixed fraction in unknown mix

the form to do that it's easy so we just

have to keep the denominator and we have

to multiply the impatient part by the

denominator so we have two times four is

eight

and after that is some the value with

the denominator so two times four is

eight eight plus one is nine so nine

fourth minus 4/3 is equals if we

consider the least common multiple of 4

and 3 the value is 12 and to do this

calculation we we will divide the risk

on route 4 by each denominator and after

that we have to multiply to the

numerator so 12 divided by 4 is 3 3

times 9 is 27 and 12 divided by 3 is 4 4

times 4 is 16 so the result the

remaining amount of milk is 11/12 cups

of milk great lot see that we have to

find the correct answer and I tell to

you that the correct answer is the

letter C why is that not see that this

value 11 divided by 12 cups is in fact

between 3/4 cups and 1 cup

why because 3/4 is this same if we

multiply lumière

and the denominator by three we got

three times three is nine and here and

three times four is twelve

okay so the RC says that the value that

we found is between 9 divided by 12 and

it had to be less than one cut this one

cut

I can represent one as 12 divided by 12

okay in fact notice that this value

right here

11 divided by 12 is between 9 divided by

12 and 12 divided by 12 so the correct

answer must be letter C I hope you enjoy

this video and see you in the next one

on this body