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# Special Questions

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Math Expert
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Special Questions [#permalink]  10 Jul 2013, 23:04
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Special Questions

You are all familiar with usual types of GMAT questions: Number Properties, Remainders, Overlapping sets, etc. We have all these categories HERE. But sometimes on the test comes a question which does not fall into ordinary categories, combines several categories/concepts or is a subcategory of a larger topic. These questions are harder to solve and require different skills or/and unorthodox approaches. Below is a directory of such questions:

Please suggest other special categories you are interested to see here. Thank you.
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Math Expert
Joined: 02 Sep 2009
Posts: 18532
Followers: 3197

Kudos [?]: 21480 [7] , given: 2547

Re: Special Questions [#permalink]  06 Mar 2014, 01:26
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Math Expert
Joined: 02 Sep 2009
Posts: 18532
Followers: 3197

Kudos [?]: 21480 [0], given: 2547

Re: Special Questions [#permalink]  09 Mar 2014, 10:56
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Units digits, exponents, remainders problems

Find below links to units digits, exponents, remainders, cyclicity problems.

Problem Solving:

650+

what-is-the-tens-digit-of-127023.html
if-you-divide-7-131-by-5-which-remainder-do-you-get-83350.html
if-n-is-a-positive-integer-what-is-the-remainder-when-105067.html
what-is-the-unit-s-digit-of-101015.html
if-n-is-a-positive-integer-what-is-the-remainder-when-96262.html
what-is-the-remainder-when-3-243-is-divided-by-141050.html
find-the-ones-digit-of-141071.html
m12-72970.html

700+

when-51-25-is-divided-by-13-the-remainder-obtained-is-130220.html
m25-73474.html
which-of-the-following-numbers-is-prime-168179.html
what-is-the-remainder-when-43-86-is-divided-by-134778.html
what-is-the-remainder-when-43717-43628232-is-divided-by-154889.html
if-n-33-43-43-33-what-is-the-units-digit-of-n-140037.html

750+

what-is-the-units-digit-of-126681.html
what-is-the-remainder-of-126493.html
what-is-the-remainder-when-32-32-32-is-divided-by-100316.html
algebra-m26-145109.html
what-is-the-remainder-when-333-222-is-divided-by-156379.html
what-is-the-remainder-when-18-22-10-is-divided-by-99724.html

Data Sufficiency:

600+

if-k-is-a-positive-integer-what-is-the-reminder-when-2-k-126478.html

650+

if-x-is-a-positive-integer-is-the-remainder-0-when-3-x-109075.html
if-243-x-463-y-n-where-x-and-y-are-positive-integers-102054.html
if-r-s-and-t-are-all-positive-integers-what-is-the-136746.html

700+

tough-and-tricky-exponents-and-roots-questions-125967.html#p1029239
if-x-and-y-are-positive-integers-what-is-the-remainder-when-109636.html

Theory on Number Properties: math-number-theory-88376.html

All DS Number Properties Problems to practice: search.php?search_id=tag&tag_id=38
All PS Number Properties Problems to practice: search.php?search_id=tag&tag_id=59

Theory on remainders problems: remainders-144665.html

All DS remainders problems to practice: search.php?search_id=tag&tag_id=198
All PS remainders problems to practice: search.php?search_id=tag&tag_id=199

Theory on Exponents: math-number-theory-88376.html

All DS Exponents questions to practice: search.php?search_id=tag&tag_id=39
All PS Exponents questions to practice: search.php?search_id=tag&tag_id=60

Tough and tricky DS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125967.html
Tough and tricky PS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125956.html

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 18532
Followers: 3197

Kudos [?]: 21480 [1] , given: 2547

Re: Special Questions [#permalink]  07 May 2014, 05:17
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Math Expert
Joined: 02 Sep 2009
Posts: 18532
Followers: 3197

Kudos [?]: 21480 [2] , given: 2547

Re: Special Questions [#permalink]  28 May 2014, 03:23
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Check out all important topics we have in Main Math forum HERE.

Important topics in PS forums.

Important topics in DS forums.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 18532
Followers: 3197

Kudos [?]: 21480 [1] , given: 2547

Re: Special Questions [#permalink]  17 Jun 2014, 00:28
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Intern
Joined: 17 Oct 2013
Posts: 33
Location: India
Concentration: Strategy, Social Entrepreneurship
GMAT 1: 680 Q47 V37
GMAT 2: 0 Q0 V0
GPA: 3.25
WE: Brand Management (Non-Profit and Government)
Followers: 0

Kudos [?]: 7 [0], given: 241

Re: Special Questions [#permalink]  19 Jun 2014, 10:49
One can't thank you enough for the amount of knowledge you share with all of us and the size of your contributions to this forum.
To 'The Teacher' I have never met. Thank you, Bunnel!!
Math Expert
Joined: 02 Sep 2009
Posts: 18532
Followers: 3197

Kudos [?]: 21480 [0], given: 2547

Re: Special Questions [#permalink]  21 Jun 2014, 08:28
Expert's post

Operations/functions defining algebraic/arithmetic expressions

This type of question defines some function and asks to find the value of some expression involving that function. For example, "If the operation @ is defined by x@y=\sqrt{xy} for all positive numbers x and y, then (5@45)@60 ="

PS:

the-operation-is-defined-by-x-y-1-x-1-y-for-all-67650.html
if-the-operation-is-defined-by-x-y-xy-1-2-for-all-144272.html
in-the-formula-v-1-2r-3-if-r-is-halved-then-v-is-multi-67221.html
if-the-operation-is-defined-for-all-integers-a-and-b-101282.html
an-operation-is-defined-by-the-equation-a-b-a-b-a-144074.html
a-function-f-is-defined-by-f-x-y-x-2-y-is-the-value-of-143156.html
if-the-function-q-is-defined-by-the-formula-q-5w-4x-z-131051.html
the-operation-x-n-for-all-positive-integers-greater-than-99064.html
for-any-numbers-a-and-b-a-b-a-b-ab-if-a-b-0-which-of-135320.html
for-all-numbers-s-and-t-the-operation-is-defined-by-s-t-167915.html
for-all-numbers-s-and-t-the-operation-is-defined-by-s-t-167630.html
the-operation-is-defined-for-all-nonzero-x-and-y-by-x-y-162019.html
the-operation-is-defined-for-all-integers-a-and-b-by-the-162119.html
if-the-operation-is-de-ned-for-all-x-and-y-by-the-equatio-172921.html
for-any-operation-that-acts-on-two-numbers-x-and-y-the-127024.html
the-operation-is-defined-for-all-nonzero-numbers-a-and-b-106495.html
m08-35-if-operation-x-is-defined-as-x-x-2-if-x-is-even-and-159445.html
for-any-integer-k-greater-than-1-the-symbol-k-denotes-the-105890.html
if-f-x-x-x-then-f-f-x-173007.html

DS:

for-all-integers-x-and-y-the-operation-is-defined-by-x-y-86208.html
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Math Expert
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Posts: 18532
Followers: 3197

Kudos [?]: 21480 [0], given: 2547

Re: Special Questions [#permalink]  21 Jun 2014, 08:50
Expert's post

Symbols Representing Arithmetic Operation

This type of questions hides one of the arithmetic operation (addition, subtraction, multiplication, or division) behind some symbol and asks to find the value of some expression involving that symbol or determining that symbol. For example, "The operation* represents either addition, subtraction, or multiplication of integers, what is the value of 1*0?". This type of question are most like to come in DS section.

if-represents-one-of-the-operations-and-is-a-101337.html
the-symbol-r-represents-one-of-the-following-172293.html
if-represents-one-of-the-operations-and-x-is-k-l-m-144138.html
if-the-operation-is-one-of-the-four-arithmetic-operations-93966.html
the-symbol-represents-one-of-the-following-operations-161432.html
if-the-operation-is-one-of-the-four-arithmetic-operations-101283.html
if-x-is-a-positive-integer-the-symbol-represents-which-of-162367.html
if-the-symbol-represents-one-of-the-following-operations-161138.html
the-symbol-represents-one-of-the-four-arithmetic-operation-107575.html
if-represents-one-of-the-operations-and-x-is-a-b-105352.html
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Math Expert
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Posts: 18532
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Kudos [?]: 21480 [0], given: 2547

Re: Special Questions [#permalink]  21 Jun 2014, 08:59
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Joined: 02 Sep 2009
Posts: 18532
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Kudos [?]: 21480 [0], given: 2547

Re: Special Questions [#permalink]  21 Jun 2014, 09:37
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Kudos [?]: 21480 [0], given: 2547

Re: Special Questions [#permalink]  21 Jun 2014, 14:53
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Re: Special Questions [#permalink]  02 Jul 2014, 05:09
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Re: Special Questions [#permalink]  09 Jul 2014, 07:32
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Re: Special Questions [#permalink]  09 Jul 2014, 07:34
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Re: Special Questions   [#permalink] 09 Jul 2014, 07:34
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