GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Oct 2019, 15:44 GMAT Club Daily Prep

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

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.  John takes 15 hours to complete a certain job, while Bill takes only 6

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58427
John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

3
32 00:00

Difficulty:   75% (hard)

Question Stats: 63% (02:51) correct 37% (02:53) wrong based on 432 sessions

HideShow timer Statistics

John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

_________________
Math Expert V
Joined: 02 Aug 2009
Posts: 8006
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

6
1
5
Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

we can find two extreme ends, which are just out of the range
1) lower end... j=15h, b=6h and j=15h
all three will take$$\frac{1}{( 1/15+1/15+1/6)}$$= 2h 30 min
2) higher end j=15h, b=6h and j=6h
all three will take$$\frac{1}{( 1/15+1/6+1/6)}$$= 3h 20 min..

only B is within this range
ans B
_________________
General Discussion
Manager  Joined: 27 Dec 2013
Posts: 199
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

3
Its Option B here.

John can complete the work in 15 hours so the amount of work completed in hour= 1/15

Bill can complete the work in 6 hours, so the amount of work complete in one hour= 1/6

1/15+ 1/6 = 7/30.

Now Test the answer choices,

Option 1: 7/30+ 1/ X = 2/5 => X= 6 hours.

Option 2: 7/30 + 1/X= 4/11 (x=Around 7. 5 ish...)

Option 3: 7/30 + 1/x = 3/10 (X is 15)

OPTION 4 and 5 will be definitely greater than 15. Hence Option B correct.

(As bills work will be between 6 and 15)

Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

_________________
Kudos to you, for helping me with some KUDOS.
Retired Moderator Joined: 29 Apr 2015
Posts: 822
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

Set up a rate/time/work table and plug in 30 as for the "work":

John 2 15 30
Bill 5 6 30
Steve >2, <5 ?

Compound R X 30

Plug in the answer choices in the function of the compound rate. If you plug in A which is 2.5 hours, Steves Rate would be 5 which is not smaller than Bills rate. Answer Choice B fits, making Steve's Rate 3.9.

AC B.
_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.
Intern  Joined: 08 Mar 2014
Posts: 45
Location: United States
GMAT Date: 12-30-2014
GPA: 3.3
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

1
Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

Hello,
We can answer this by obtaining values for the extremes as per the stated conditions. Correct answer will fall in between the extremes. It is told that Steve is faster than John i.e he takes less than 15 hours and greater than Bill i.e. he takes more than 6 hours.

Step 1 : Let's calculate one extreme by assuming Steve took the same amount as John to complete the work. The total time taken by three then will be 1/15+1/15+1/6 ( rates respective for John, Steve and Bill) which equals 3 hours 20 mins. (Applied RT=W)

Step 2 : Let's calculate other extreme by assuming Steve took the same amount as Bill to complete the work. The total time taken by three then will be 1/15+1/6+1/6 (rates respective for John, Steve and Bill) which equals 2 hours 30 mins. (Applied RT=W)

The correct answer shall fall in between these two values and looking at answer choices we see that only option B is the value that does so.

Hence correct answer is B Manager  Joined: 18 Aug 2014
Posts: 112
Location: Hong Kong
Schools: Mannheim
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

1
Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

I assumed S = 1/10.. 1/15 + 1/6 + 1/10 = 3/9 j/h ... = 9/3h/j = 3h

Question is..which could be the time ? Hence, why is C incorrect ?

Originally posted by LaxAvenger on 20 Jun 2015, 07:24.
Last edited by LaxAvenger on 20 Jun 2015, 07:38, edited 1 time in total.
Intern  Joined: 08 Mar 2014
Posts: 45
Location: United States
GMAT Date: 12-30-2014
GPA: 3.3
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

It is given in the question statement that Steve takes less time then John. They take exactly 3hrs20mins if Steve takes exactly the same amount of time as John, but we know that it is not the case. So the total time taken should be less than 3hrs 20 mins and more than 2hrs 30mins as these are the two extreme values obtained as per the statement. Hope I am clear ?
Math Expert V
Joined: 02 Aug 2009
Posts: 8006
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

LaxAvenger wrote:
Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

I assumed S = 1/10.. 1/15 + 1/6 + 1/10 = 3/9 j/h ... = 9/3h/j = 3h

Question is..which could be the time ? Hence, why is C incorrect ?

hi,
you have assumed 1/10 correctly but solved it wrongly..
$$\frac{1}{10}+\frac{1}{15}+\frac{1}{6}=\frac{(3+2+5)}{30}=\frac{10}{30}=\frac{1}{3}$$
so ans is 3 hrs and not 3 hrs 20 min...
if 3 hrs was a choice it would have been correct
hope it is clear now
_________________
Intern  Joined: 23 May 2015
Posts: 1
Concentration: Entrepreneurship, Accounting
GMAT 1: 780 Q51 V44 GPA: 3.82
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

1
we can find two extreme ends, which are just out of the range

1) lower end... j=15h, b=6h and j=15h
all three will take1(1/15+1/15+1/6)= 2h 30 min
2) higher end j=15h, b=6h and j=6h
all three will take1(1/15+1/6+1/6)= 3h 20 min..

only B is within this range
ans B
Manager  Joined: 18 Aug 2014
Posts: 112
Location: Hong Kong
Schools: Mannheim
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

1
chetan2u wrote:
LaxAvenger wrote:
Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

I assumed S = 1/10.. 1/15 + 1/6 + 1/10 = 3/9 j/h ... = 9/3h/j = 3h

Question is..which could be the time ? Hence, why is C incorrect ?

hi,
you have assumed 1/10 correctly but solved it wrongly..
$$\frac{1}{10}+\frac{1}{15}+\frac{1}{6}=\frac{(3+2+5)}{30}=\frac{10}{30}=\frac{1}{3}$$
so ans is 3 hrs and not 3 hrs 20 min...
if 3 hrs was a choice it would have been correct
hope it is clear now

Math Expert V
Joined: 02 Sep 2009
Posts: 58427
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

1
3
Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

VERITAS PREP GMAT OFFICIAL SOLUTION:

In this Work/Rate problem, it's important to recognize first that rates are additive, so the combined rate of the three men will be:

1/15 + 1/6 + 1/S, which is John's rate plus Bill's rate plus Steve's rate.

For Steve's rate, we're told that it's between John's and Bill's, so you can set up the inequality:

1/15 < 1/S < 1/6

So to set the limits for how long it can take the three men at the low end and at the high end, you can set 1/S equal to 1/15 and to 1/6, and then you know that the actual time has to be between those. The fastest it could go, then is just a hair longer than it would be if the rates were:

1/6 + 1/6 + 1/15, which simplifies to 1/3 + 1/15, which then becomes 5/15 + 1/15 = 6/15 = 2/5. And since 2/5 is a rate (equal to output over time), you can phrase this as "to do two jobs takes 5 hours, so to do one job takes 2.5. So the job has to take longer than 2.5 hours, eliminating choice A.

Here's where an astute test-taker can stop. You know that the task has to take longer than 2:30 and shorter than "whatever you'd calculate next". But since the next calculation will set the higher limit AND since you can't have two correct answers, there's no way the upper limit would include C, D, or E and somehow exclude B. So the answer has to be B.

But to finish that math, you can solve for the time it takes if Steve's time is just a hair faster than John's. That would be:

1/15 + 1/15 + 1/6, which simplifies to 2/15 + 1/6. That's 4/30 + 5/30 = 9/30, which simplifies to 3/10. Again, that's "it would take 10 hours to do 3 jobs" so it will take 3 hour and 20 minutes to do one job. Since Steve has to be just a bit faster than John's, it has to take a little less than 3:20, so you can set the upper limit just shy of choice C, guaranteeing that the answer is B.
_________________
Board of Directors P
Joined: 17 Jul 2014
Posts: 2509
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30 GPA: 3.92
WE: General Management (Transportation)
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

damn..I chose a very long way to solve it..thus..spending a lot of time
since S works faster than J, but slower than B, we can take extremities
S = 14
S = 7

by solving this, we see that the time is between 2h30+m and 3h16m
the only answer choice that falls between this interval is B.
Manager  Joined: 09 Jun 2015
Posts: 86
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

John and Bill complete the work in 90/21 hours; if Steve joins them, the time taken to complete the job will be less than this time.
Steve's time taken is between 15 hours and 6 hours.
Find the limiting value for 90/21 and 15 and 90/21 and 6; that gives 3 hours 20 m and 2 hours and 30 min
That implies the answer has to be between these limits.
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

1
1
Assume the units of work to be 90

Since John takes 15 hours to finish the work, the rate of John's work is 6 units/hour
Similarly, Bill take 6 hours to finish the work, the rate of Bill's work is 15 units/hour

Since it has been given that the rate of Steve is greater than John and lesser than Bill,
the range of Steve's rate is between 6 units/hour and 15 units/hour
Hence the range of the time take to complete the work is between
$$\frac{90}{(6+6+15)}$$ = 3.33 hours(3 hour, 20 mins) and $$\frac{90}{(6+15+15)}$$ = 2.5 hours(2 hour, 30 mins)

The only value within this range is 2 hour, 45 mins(Option B)
_________________
You've got what it takes, but it will take everything you've got
Intern  B
Joined: 27 Mar 2017
Posts: 9
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

hi, could you plz explain how 2/5, 4/11 and 3/10 came?

shriramvelamuri wrote:
Its Option B here.

John can complete the work in 15 hours so the amount of work completed in hour= 1/15

Bill can complete the work in 6 hours, so the amount of work complete in one hour= 1/6

1/15+ 1/6 = 7/30.

Now Test the answer choices,

Option 1: 7/30+ 1/ X = 2/5 => X= 6 hours.

Option 2: 7/30 + 1/X= 4/11 (x=Around 7. 5 ish...)

Option 3: 7/30 + 1/x = 3/10 (X is 15)

OPTION 4 and 5 will be definitely greater than 15. Hence Option B correct.

(As bills work will be between 6 and 15)

Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.
Manager  S
Status: Math Tutor
Joined: 12 Aug 2017
Posts: 66
GMAT 1: 750 Q50 V42 WE: Education (Education)
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

Let the total work to be done is 30
Rate of John and Bill is 2 and 5 respectively.
Now Rate of Steve is >2 and <5
So if rate is 2
Together they do 2+5+2 = 9 work / hour
So to complete 30 work they will take $$\frac{30}{9}$$ = 3 hrs 20 mins
If rate of work is 5
Together they do 2+5+5=12 work / hour
So to complete 30 work they will take $$\frac{30}{12}$$ = 2 hrs 30 mins
Thus answer should be between 2 hrs 30 mins and 3 hrs 20 mins
Only option is Option B
_________________
Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971568653827
Website: http://www.holamaven.com
Senior Manager  G
Joined: 19 Oct 2012
Posts: 258
Location: India
Concentration: General Management, Operations
GMAT 1: 660 Q47 V35 GMAT 2: 710 Q50 V38 GPA: 3.81
WE: Information Technology (Computer Software)
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

The idea is to find two extremes as implied in the question stem. What if Steve's rate was equal to John. In that case, the time taken would be:
(1/15 + 1/15 + 1/6) x t = w.
On solving, we get t = 3 hours 20mins.

Similarly, what if Steve's rate was equal to Bill. In that case, the time taken would be:
(1/15 + 1/6 + 1/6) x t = w.
On solving, we get t = 2 hours 30mins.

The only option in the middle of this range is Answer choice B. Hence the answer.
_________________
Citius, Altius, Fortius
Intern  B
Joined: 08 Feb 2018
Posts: 5
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

hello:chetan2u
i used :

1/j+1/b+1/s=1/r so the range will be
1- 1/15 +1/15 +1/6 =1/r .....> 9/30=1/r so r = 30/9 =3.33 (3:20min)
2- 1/15+1/6+1/6=1/r ......> 12/30=1/r so r = 30/12= 2.5( 2:30min)
the correct answer is between (2:30 _ 3:20)
(B) is this correct ? thank u
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4018
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

Top Contributor
Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

Let's first see what happens if Steven works as fast as possible.
Since Bill can complete the job in 6 hours, Steven must complete the job in a little more than 6 hours.
For example, we COULD see what happens if Steven takes 6.000000000000001 hours to complete the job.
Unfortunately, 6.000000000000001 is an awful number to work with.
So, for convenience sake, let's just see what happens if it takes Steven 6 hours to complete the job

----ASIDE-------
For work questions, there are two useful rules:

Rule #1: If a person can complete an entire job in k hours, then in one hour, the person can complete 1/k of the job
Example: If it takes Sue 5 hours to complete a job, then in one hour, she can complete 1/5 of the job. In other words, her work rate is 1/5 of the job per hour

Rule #2: If a person completes a/b of the job in one hour, then it will take b/a hours to complete the entire job
Example: If Sam can complete 1/8 of the job in one hour, then it will take him 8/1 hours to complete the job.
Likewise, if Joe can complete 2/3 of the job in one hour, then it will take him 3/2 hours to complete the job.
---------------------
Let’s use these rules to solve the question. . . .

From Rule #1, we can conclude that:
- In ONE hour, John completes 1/15 of the job
- In ONE hour, Bill completes 1/6 of the job
- In ONE hour, Steven completes 1/6 of the job
So, COMBINED, the amount of the job completed after ONE hour = 1/15 + 1/6 + 1/6
= 2/30 + 5/30 + 5/30
= 12/30
= 2/5

Rule #2 tells us that, the total time to complete the job = 5/2 hours
In other words, when Steven works as FAST as possible, it takes the 3 men 5/2 hours to complete the job.
Of course, this calculation is based on Steven working at the SAME SPEED as Bill.
Since Steven is supposed to work SLOWER than Bill, the time it takes the 3 men to complete the job must be GREATER than 5/2 hours (aka 2 hours and 30 minutes)

IMPORTANT: We know that the correct answer must be GREATER than 2 hours and 30 minutes. So, we can eliminate answer choice A because it is too small.
We also know that, IF we were to also use Steven's SLOWEST work speed to calculate the upper limit for the time it takes all 3 men to complete the job, we'd be able to eliminate 3 more answer choices because they're too big.
Based on this, we should see that we can automatically eliminate the 3 biggest remaining answer choices (C, D, E), which leaves us with B

Cheers,
Brent

RELATED VIDEO FROM MY COURSE

_________________
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8129
Location: United States (CA)
Re: John takes 15 hours to complete a certain job, while Bill takes only 6  [#permalink]

Show Tags

Bunuel wrote:
John takes 15 hours to complete a certain job, while Bill takes only 6 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?

A. 2 hours, 30 minutes
B. 2 hours, 45 minutes
C. 3 hours, 20 minutes
D. 3 hours, 45 minutes
E. 4 hours, 10 minutes

Kudos for a correct solution.

John’s rate is 1/15, and Bill’s rate is 1/6.

If Steve is as fast as John, his rate is 1/15, and the combined rate would be 1/15 + 1/6 + 1/15 = 2/30 + 5/30 + 2/30 = 9/30 = 3/10. Therefore, it would take the three men 1/(3/10) = 10/3 = 3 ⅓ = 3 hours and 20 minutes to complete the job.

On the other hand, if Steve is as fast as Bill, his rate is 1/6, and the combined rate would be 1/15 + 1/6 + 1/6 = 2/30 + 5/30 + 5/30 = 12/30 = 2/5. Therefore, it would take the three men 1/(2/5) = 5/2 = 2 1/2 = 2 hours and 30 minutes to complete the job.

Since Steve is faster than John but slower than Bill, it will take them between 2 hours and 30 minutes and 3 hours and 20 minutes to complete the job. We see that of all the answer choices, only choice B, 2 hours and 45 minutes, satisfies the criteria.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: John takes 15 hours to complete a certain job, while Bill takes only 6   [#permalink] 07 Mar 2019, 08:00
Display posts from previous: Sort by

John takes 15 hours to complete a certain job, while Bill takes only 6

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  