Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
In this presentation, Shaifali Aggarwal, a Harvard Business School graduate and Founder/CEO of Ivy Groupe (boutique MBA admissions consulting), will tell us how to stand out in a huge pool of MBA applicants coming from Finance industry.
Your MBA application resume and essays are of central importance in building your case for admission. In this session, we will discuss a set of tips to help you create a superb MBA application resume and essays.
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 07:34
1
What is the remainder when positive integer X is divided by 40?
(1) 3X + 30 leaves remainder 93 when divided by 120. (2) 5X - 10 leaves remainder 15 when divided by 20.
(1) 3X + 30 leaves remainder 93 when divided by 120. 3X+30 = 120k+93 3X = 120k +63 X=40k+21 21 is the remainder when positive integer x is divided by 40 SUFFICIENT
(2) 5X - 10 leaves remainder 15 when divided by 20. 5X-10 = 20k + 15 5X = 20K + 25 = 20Y+5 X = 4Y+1 NOT SUFFICIENT
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 07:31
1
What is the remainder when positive integer X is divided by 40?
This is an easy question. Nothing to analyze in the stem lets move to the statements.
(1) 3X + 30 leaves remainder 93 when divided by 120. This choice is correct, cause X will take values like 39, 79, etc, which will always have remainder as 39. Hence this is sufficient.
(2) 5X - 10 leaves remainder 15 when divided by 20. This statement is insufficient. Cause X will have multiple values like 5, 9, etc and hence the remainder will also be different.
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 07:35
1
IMO answer is A:
we know from statement 1: 3x+30 = 93, x= 21, similarly 3x+3 = 213, x = 61. so x can be 21, 61,101,.... In all these cases, we get a reminder of 21 when x is divided by 40. so suff
from statement 2: in similar lines, x can be 5,9,13,17,21,25... as multiple values, multiple reminders, not suff
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 07:37
1
(1) 3X + 30 leaves remainder 93 when divided by 120. Sufficient. 3x+30=120k+93 3x=120k+63 x=40k+21 Thus remainder will be 21 (2) 5X - 10 leaves remainder 15 when divided by 20. Not sufficient. 5x-10=20m+15 5x=20m+25 x=4m+5 Thus we have plenty of possible remainders: 5, 9, 13...
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 07:53
1
A.
From st 1, mathematically it can be written as, 3x+30 = 120n1+93 => x = 40n1 + 21, clearly remainder is 21 when x is divided by 40 - Sufficient
From st 2, mathematically it can be written as, 5x-10 = 20n2+15 => x = 4n2 + 5, so can have values such as 9, 13,17 .. which are all remainders when x is divided by 40 - Not Sufficient
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 08:04
1
What is the remainder when positive integer X is divided by 40?
(1) 3X + 30 leaves remainder 93 when divided by 120. - Sufficient, Min X Number that satisfies the requirement is (93-30)/3=21 which leaves a remainder of 21 when divided by 40. When X=181 (21+40*4) the above becomes (543+30)/120 still gives a remainder of 93 when divided by 120 and 21 when divided by 40. Remainder will always be 21
(2) 5X - 10 leaves remainder 15 when divided by 20. Insufficient; When Min X Number that satisfies the requirement is (25-10)/3=5 which leaves a remainder of 5 when divided by 40; When X=9 also satisfies the requirement but gives a remainder of 9 when divided by 40. Two values for X have 2 different remainders
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 08:05
1
3x+30 when divided by 120 leaves a remainder 93 i.e 3x+30+27 (120-93=27) is divisible by 120 3x+57 is divisible by 120 3(x+19)is divisible by 120 x+19 is divisible 40 i.e 21 is the remainder hence A is sufficient
5x-10 leaves remainder 15 when divided by 20 ie 5x-5 is divisible by 20 5(x-1) is divisible by 20 x-1 is divisible by 4 but we calculate the remainder when x is divided by 40 Hence insufficient
Re: What is the remainder when X is divided by 40?
[#permalink]
Show Tags
17 Jul 2019, 08:09
1
Answer is A
Question is asking what is the remainder when positive integer X is divided by 40?
St.1 - 3X + 30 leaves remainder 93 when divided by 120. If the number is 93 then X=21, then X/40 remainder is 21. Lets try with another number that satisfies the condition, X=61, then 61*3+30=213/120 Remainder is 93, then X/40 Remainder is 21. In both the cases X/40 remainder is 21. Sufficient.
St.2 - 5X - 10 leaves remainder 15 when divided by 20. If the number is 15 then X=5, then X/40 remainder is 5, but if the number is 35 then X=9, then X/40 remainder is 9. Two different answers therefore the statement is Insufficient.
close
62% (01:58) correct 
