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

 It is currently 18 Mar 2019, 16:48

### 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

# The middle two digits of the following numbers are hidden. W

Author Message
TAGS:

### Hide Tags

Director
Joined: 29 Nov 2012
Posts: 746
The middle two digits of the following numbers are hidden. W  [#permalink]

### Show Tags

17 Aug 2013, 07:45
2
4
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:29) correct 31% (02:02) wrong based on 140 sessions

### HideShow timer Statistics

The middle two digits of the following numbers are hidden. Which of the following could be the total number of oranges in a storage room that has X cartons, where each carton has 12 oranges?

$$a) 50**22$$
$$b) 56**06$$
$$c) 45**20$$
$$d) 26**43$$
$$e) 27**90$$

The total no of oranges = X*12. Thus,$$\frac{# of oranges}{12}$$= X(An Integer)

Thus, the no of oranges has to be a multiple of 12, and thus, must be divisible by 4. The last 2 digits should be divisible by 4 $$\to$$ Only C satisfies.
Director
Joined: 14 Dec 2012
Posts: 745
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Re: The middle two digits of the following numbers are hidden. W  [#permalink]

### Show Tags

17 Aug 2013, 08:12
1
fozzzy wrote:
The middle two digits of the following numbers are hidden. Which of the following could be the total number of oranges in a storage room that has X cartons, where each carton has 12 oranges?

$$a) 50**22$$
$$b) 56**06$$
$$c) 45**20$$
$$d) 26**43$$
$$e) 27**90$$

The total no of oranges = X*12. Thus,$$\frac{# of oranges}{12}$$= X(An Integer)

Thus, the no of oranges has to be a multiple of 12, and thus, must be divisible by 4. The last 2 digits should be divisible by 4 $$\to$$ Only C satisfies.

theory:
a number is divisible by 4 when last 2 digit of that number is divisible by 4.

QUESTION: Which of the following could be the total number of oranges?

NOTE: COULD BE and MUST BE are different.

let say there are$$n$$ number of cartons
therefore total oranges = $$12n$$ (since each carton has $$12$$ oranges)

so it means total number of oranges is that number which is divisible by $$12$$....or we can say that divisible by $$4.$$

now using the above stated theory we have to check divisibility of only last 2 digits.

clearly option C having $$20$$ as last two digit is divisible by $$4.$$

rest all numbers are not divisible by 4.

_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment

Senior Manager
Joined: 10 Jul 2013
Posts: 312
Re: The middle two digits of the following numbers are hidden. W  [#permalink]

### Show Tags

17 Aug 2013, 10:23
fozzzy wrote:
The middle two digits of the following numbers are hidden. Which of the following could be the total number of oranges in a storage room that has X cartons, where each carton has 12 oranges?

$$a) 50**22$$
$$b) 56**06$$
$$c) 45**20$$
$$d) 26**43$$
$$e) 27**90$$

The total no of oranges = X*12. Thus,$$\frac{# of oranges}{12}$$= X(An Integer)

Thus, the no of oranges has to be a multiple of 12, and thus, must be divisible by 4. The last 2 digits should be divisible by 4 $$\to$$ Only C satisfies.

Anything that is divisible by 12, must be divisible by 4.

And the last two digits can fix this riddle.

i see 20, so (C) is the Answer
_________________

Asif vai.....

Intern
Joined: 07 Feb 2019
Posts: 11
The middle two digits of the following numbers are hidden. W  [#permalink]

### Show Tags

08 Mar 2019, 19:53
Why didn't we chose option B? As we kno if a number divided by 12 also divided by 3. In option B 06 also divided by 3.Clarify me giving further explanation .

Posted from my mobile device
Intern
Joined: 19 Jan 2019
Posts: 39
Re: The middle two digits of the following numbers are hidden. W  [#permalink]

### Show Tags

08 Mar 2019, 20:12
1
[quote="Talha95"]Why didn't we chose option B? As we kno if a number divided by 12 also divided by 3. In option B 06 also divided by 3.Clarify me giving further explanation .

[size=80][b][i]Posted from my mobile device[/i][/b][/size][/quote]

If a number is divisible by 3, then the sum of it's digits must be divisible by 3..... We cannot tell whether a number is divisible by 3 just by looking at the last two digits.... In option B , we may not know whether that number is really divisible by 3 or not , and we must not even care really checking about divisibility of 3...
Intern
Joined: 07 Feb 2019
Posts: 11
Re: The middle two digits of the following numbers are hidden. W  [#permalink]

### Show Tags

08 Mar 2019, 20:20
thyagi wrote:
Talha95 wrote:
Why didn't we chose option B? As we kno if a number divided by 12 also divided by 3. In option B 06 also divided by 3.Clarify me giving further explanation .

Posted from my mobile device

If a number is divisible by 3, then the sum of it's digits must be divisible by 3..... We cannot tell whether a number is divisible by 3 just by looking at the last two digits.... In option B , we may not know whether that number is really divisible by 3 or not , and we must not even care really checking about divisibility of 3...

Thank you.i can realise now.
Re: The middle two digits of the following numbers are hidden. W   [#permalink] 08 Mar 2019, 20:20
Display posts from previous: Sort by