GMAT Problem Solving Discussions


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Question 2 (variant of question 1)

A digit is drawn from digits 0 to 9 (inclusive), followed by another draw of digit. What is the probability that the product of these 2 digits is an even number when
(i) Second digit cannot be same as first digit
(ii) Second digit can be same as first digit.

Too tough for me to handle these questions. Can someone please help me with them


Regarding your 2nd Question, here is my approach:
For (i) - Second digit cannot be same as first
Total number of ways to draw 2 digits one after the other = 10 x 9 = 90.

If first digit is even, then for product to be even, 2nd digit can be either even or odd.
Therefore, no. of possible ways = 4 (no. of even digits) x 8 (excluding 0 and the one already selected) = 32
If first digit is odd, then for product to be even, 2nd digit must be even.
no. of possible ways = 5 (no. of odd digits) x 4 (no. of even digits) = 20
Therefore, total ways = 32+20=52
Probabilty = 52/90 = 26/45
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For (ii) - Second digit can be same as first

Total number of ways to draw 2 digits one after the other = 10x10 = 100.
If first digit is even, then for product to be even, 2nd digit can be either even or odd.
Therefore, no. of possible ways = 4 (no. of even digits) x 9 (excluding 0) = 36.

If first digit is odd, then for product to be even, 2nd digit must be even.
no. of possible ways = 5 (no. of odd digits) x 4 (no. of even digits) = 20
Therefore, total ways = 36+20 = 56
Probabilty = 56/100 = 14/25

Hope these are correct answers...
Cheers!
Satish
American productivity is declining in relation to Europes; the energy expended per unit of production in the United States is as much as twice that expended in West Germany.

(A) as much as twice that expended in West Germany -CORRECT
(B) as much as twice that of West Germanys expenditure- that refers to energy expended per unit of production, So the entire meaning becomes wonky in this sentence.
(C) up to two times of West Germanys expenditure-makes the comparison to the whole expenditure-weird
(D) up to two times what West Germans expended- we are talking on countries, not the ppl
(E) up to double the West German expenditure- same as D




Hence A

An unusually strong cyclist can, it is hoped, provide enough power to set a new distance record for human-powered aircraft in MITs diaphanous construction of graphite fiber and plastic.
(A) can, it is hoped, provide enough power to set
(B) it is hoped, can provide enough power that will set- that=> wrong referent
(C) hopefully can provide enough power, this will set-Hopefully & Hopeful are wrong 9 of 10 times ;)
(D) is hopeful to set- same as C
(E) hopes setting- changes the Intent


Ancient Romans found it therapeutic to bathe in cold milk, in strawberries that had been crushed, or in bathtubs filled with black caviar.
(A) to bathe in cold milk, in strawberries that had been crushed, or in bathtubs filled with black caviar
(B) that they bathe in cold milk, in strawberries that had been crushed, or in caviar that was black-awkward
(C) to bathe in cold milk, crushed strawberries, or black caviar - Maintains Prallelism
(D) that they bathe in cold milk, crushed strawberries, or black caviar-Awkward
(E) to bathe in milk , strawberries, or caviar -COLD is missing, thus the original intent is changed


Archaeologists in Ireland believe that a recently discovered chalice, which dates from the eighth century, was probably buried to keep from being stolen by invaders.
(A) to keep from - WHAT ???
(B) to keep it from-CORRECT, as it is required here to make complete sense
(C) to avoid -what ??
(D) in order that it would avoid- would is not requires & the sentence is lengthy
(E) in order to keep from- it is missing


PPL, PLZZZZ Post the Correct answers, so That I could validate my clap-trap πŸ˜‰

I think the Original sentence is Correct. THUS A .
The Correct Idiom is Acclaimed as , NOT acclaimed to be .

An artistic presence of the first order, one frequently ranked with Picasso, Stravinsky, and James Joyce, Martha Graham was acclaimed as a great dancer long before her innovative masterworks made her the most honored of American choreographers.
(A) Martha Graham was acclaimed as
(B) Martha Graham was acclaimed to be-Out-wrong Idiom
(C) Martha Grahams acclaim is as - out- 's is wrongly used
(D) Martha Grahams acclaim to be-out- worng idiom
(E) Martha Grahams acclaim was in being-out - Passive

What is the Correct answer ???

Correct answer dude....
American productivity is declining in relation to Europes; the energy expended per unit of production in the United States is as much as twice that expended in West Germany.

(A) as much as twice that expended in West Germany -CORRECT
(B) as much as twice that of West Germanys expenditure- that refers to energy expended per unit of production, So the entire meaning becomes wonky in this sentence.
(C) up to two times of West Germanys expenditure-makes the comparison to the whole expenditure-weird
(D) up to two times what West Germans expended- we are talking on countries, not the ppl
(E) up to double the West German expenditure- same as D




Hence A

Correct answer dude.....
An unusually strong cyclist can, it is hoped, provide enough power to set a new distance record for human-powered aircraft in MITs diaphanous construction of graphite fiber and plastic.
(A) can, it is hoped, provide enough power to set
(B) it is hoped, can provide enough power that will set- that=> wrong referent
(C) hopefully can provide enough power, this will set-Hopefully & Hopeful are wrong 9 of 10 times ;)
(D) is hopeful to set- same as C
(E) hopes setting- changes the Intent


Ancient Romans found it therapeutic to bathe in cold milk, in strawberries that had been crushed, or in bathtubs filled with black caviar.
(A) to bathe in cold milk, in strawberries that had been crushed, or in bathtubs filled with black caviar
(B) that they bathe in cold milk, in strawberries that had been crushed, or in caviar that was black-awkward
(C) to bathe in cold milk, crushed strawberries, or black caviar - Maintains Prallelism
(D) that they bathe in cold milk, crushed strawberries, or black caviar-Awkward
(E) to bathe in milk , strawberries, or caviar -COLD is missing, thus the original intent is changed


Archaeologists in Ireland believe that a recently discovered chalice, which dates from the eighth century, was probably buried to keep from being stolen by invaders.
(A) to keep from - WHAT ???
(B) to keep it from-CORRECT, as it is required here to make complete sense
(C) to avoid -what ??
(D) in order that it would avoid- would is not requires & the sentence is lengthy
(E) in order to keep from- it is missing


PPL, PLZZZZ Post the Correct answers, so That I could validate my clap-trap ;)

Affirmative dude!!!!
PGiets, tell me one thing, i have heard a lot about 'bold Face' Questions. Is the question below an example of a bold face?
Also help me with this problem. Thanks :)


Consumer advocate: it is generally true, at least in this state, that lawyers who advertise a specific service
charge less for that service than lawyers who do not advertise. It is also true that
each time restrictions on the
advertising of legal services have been eliminated, the number of lawyers advertising their services has
increased and legal costs to consumers have declined in consequence.
However, eliminating the state
requirement that legal advertisements must specify fees for specific services would almost certainly increase
rather than further reduce consumer's legal costs. Lawyers would no longer have an incentive to lower their fees
when they begin advertising and
if no longer required to specify fee arrangements, many lawyers who now
advertise would increase their fees.
In the consumer advocate's argument, the two portions in boldface play which of the following roles?
(A) The first is a generalization that the consumer advocate accepts as true; the second is presented as a
consequence that follows from the truth of that generalization.
(B) The first is a pattern of cause and effect that the consumer advocate argues will be repeated in the case at
issue; the second acknowledges a circumstance in which that pattern would not hold.
(C) The first is pattern of cause and effect that the consumer advocate predicts will not hold in the case at issue;
the second offers a consideration in support of that prediction.
(D) The first is evidence that the consumer advocate offers in support of a certain prediction; the second is that
prediction.
(E) The first acknowledges a consideration that weighs against the main position that the consumer advocate
defends; the second is that position.

Also solve this one too please!!!! I need the analysis!!

Mukul? ahmadazeem777? Please help!!

As U.S. nuclear attack submarines prowl their familiar haunts deep within the oceans of the world these days, they increasingly are engaged in missions far different from the tasks for which they were built and for which their crews were trained over the last forty years.

(A) they increasingly are engaged in missions far different from the tasks for which they were built
(B) the missions they increasingly engage in are far different than the tasks they were built for
(C) they engage increasingly in missions that differ significantly from the tasks they were built for
(D) the missions they engage in are increasingly different than the tasks for which they were built
(E) they increasingly engage in missions far different than the tasks for which they were built

Here is my try: answer D

As U.S. nuclear attack submarines prowl their familiar haunts deep within the oceans of the world these days, they increasingly are engaged in missions far different from the tasks for which they were built and for which their crews were trained over the last forty years.

(A) they increasingly are engaged in missions far different from the tasks for which they were built - First part talks about a task/mission. This sentence doesn't seem to connect directly to the first one. Instead of a comma, a semi-colon would have been better.

(B) the missions they increasingly engage in are far different than the tasks they were built for - Although "the missions" is used here, for in this sentence not // with for in "for which their crews..."

(C) they engage increasingly in missions that differ significantly from the tasks they were built for - Same as A.

(D) the missions they engage in are increasingly different than the tasks for which they were built - Correct Answer. Second part "...and for which their crews were trained..." is // to "...for which they were built...".


(E) they increasingly engage in missions far different than the tasks for which they were built - Same as A

Here is my try: answer D

As U.S. nuclear attack submarines prowl their familiar haunts deep within the oceans of the world these days, they increasingly are engaged in missions far different from the tasks for which they were built and for which their crews were trained over the last forty years.

(A) they increasingly are engaged in missions far different from the tasks for which they were built - First part talks about a task/mission. This sentence doesn't seem to connect directly to the first one. Instead of a comma, a semi-colon would have been better.

(B) the missions they increasingly engage in are far different than the tasks they were built for - Although "the missions" is used here, for in this sentence not // with for in "for which their crews..."

(C) they engage increasingly in missions that differ significantly from the tasks they were built for - Same as A.

(D) the missions they engage in are increasingly different than the tasks for which they were built - Correct Answer. Second part "...and for which their crews were trained..." is // to "...for which they were built...".


(E) they increasingly engage in missions far different than the tasks for which they were built - Same as A

Yes it's thje correct ans. Thanks :)

Puys, anwer this please.....

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PGiets, tell me one thing, i have heard a lot about 'bold Face' Questions. Is the question below an example of a bold face?
Also help me with this problem. Thanks :smile:


Consumer advocate: it is generally true, at least in this state, that lawyers who advertise a specific service
charge less for that service than lawyers who do not advertise. It is also true that
each time restrictions on the
advertising of legal services have been eliminated, the number of lawyers advertising their services has
increased and legal costs to consumers have declined in consequence.
However, eliminating the state
requirement that legal advertisements must specify fees for specific services would almost certainly increase
rather than further reduce consumer's legal costs. Lawyers would no longer have an incentive to lower their fees
when they begin advertising and
if no longer required to specify fee arrangements, many lawyers who now
advertise would increase their fees.



In the consumer advocate's argument, the two portions in
boldface play which of the following roles?
(A) The first is a generalization that the consumer advocate accepts as true; the second is presented as a
consequence that follows from the truth of that generalization.
(B) The first is a pattern of cause and effect that the consumer advocate argues will be repeated in the case at
issue; the second acknowledges a circumstance in which that pattern would not hold.
(C) The first is pattern of cause and effect that the consumer advocate predicts will not hold in the case at issue;
the second offers a consideration in support of that prediction.
(D) The first is evidence that the consumer advocate offers in support of a certain prediction; the second is that
prediction.
(E) The first acknowledges a consideration that weighs against the main position that the consumer advocate
defends; the second is that position.
Here is my try: answer D

As U.S. nuclear attack submarines prowl their familiar haunts deep within the oceans of the world these days, they increasingly are engaged in missions far different from the tasks for which they were built and for which their crews were trained over the last forty years.

(A) they increasingly are engaged in missions far different from the tasks for which they were built - First part talks about a task/mission. This sentence doesn't seem to connect directly to the first one. Instead of a comma, a semi-colon would have been better.

(B) the missions they increasingly engage in are far different than the tasks they were built for - Although "the missions" is used here, for in this sentence not // with for in "for which their crews..."

(C) they engage increasingly in missions that differ significantly from the tasks they were built for - Same as A.

(D) the missions they engage in are increasingly different than the tasks for which they were built - Correct Answer. Second part "...and for which their crews were trained..." is // to "...for which they were built...".


(E) they increasingly engage in missions far different than the tasks for which they were built - Same as A

And try this too. Post analysis please :)

As well as heat and light, the Sun is the source of a continuous stream of atomic particles known as the solar wind.

(A) As well as heat and light, the Sun is the source of a continuous stream
(B) Besides heat and light, also the Sun is the source of a continuous stream
(C) Besides heat and light, the Sun is also the source of a continuous streaming
(D) The Sun is the source not only of heat and light, but also of a continuous stream
(E) The Sun is the source of not only heat and light but, as well, of a continuous streaming


At a recent session, the French government has decided that Paris needs a second, larger opera house to complement the famous Paris Opera.

(A) has decided that Paris needs
(B) decided that Paris needs
(C) has decided that Paris will need
(D) decided that Paris has a need of
(E) has decided that Paris needed

Guru's can u explain me this?:

At the invitation of Kwame Nkrumah, W. E. B. Du Bois settled in Gharla and became the editor of the Encyclopedia Africana.

(A) At the invitation of
(B) When he was invited by
(C) An invitation coming from
(D) An invitation that came from
(E) After having an invitation by

I cant understant what the Sentence is :confused: ??:

And even this one guys!!

At the time of the Mexican agrarian revolution, the most radical faction, that of Zapata and his followers, proposed a return to communal ownership of land, to what had been a pre-Columbian form of ownership respected by the Spaniards.

(A) land, to what had been a pre-Columbian form of ownership respected by the Spaniards
(B) land, a form of ownership of the pre-Columbians and respected by the Spaniards
(C) land, respected by the Spaniards and a pre-Columbian form of ownership
(D) land in which a pre-Columbian form of ownership was respected by the Spaniards
(E) land that had been a pre-Columbian form of ownership respected by the Spaniards

Guru's can u explain me this?:

At the invitation of Kwame Nkrumah, W. E. B. Du Bois settled in Gharla and became the editor of the Encyclopedia Africana.

(A) At the invitation of
(B) When he was invited by
(C) An invitation coming from
(D) An invitation that came from
(E) After having an invitation by

I cant understant what the Sentence is :confused: ??:


IMHO, the answer must be B. What the sentence says is: Kwame Nkrumah is already settled in Gharla and he has invited W. E. B. Du Bois for something...not mentioned here.

(A) At the invitation of - invitation of somthing that is inanimate (like his/her wedding) and not of a person.

(B) When he was invited by - ties correctly with invited by person and then use of settled, matches the tense.

(C) An invitation coming from - ruled out todally...very awkward const.

(D) An invitation that came from - came from someone, ok. But must have and instead of comma.

(E) After having an invitation by - by incorrectly used.

Hope answer is correct...else i will be 😞 ??:

Cheers!
Satish
And try this too. Post analysis please :)

As well as heat and light, the Sun is the source of a continuous stream of atomic particles known as the solar wind.

(A) As well as heat and light, the Sun is the source of a continuous stream
(B) Besides heat and light, also the Sun is the source of a continuous stream
(C) Besides heat and light, the Sun is also the source of a continuous streaming
(D) The Sun is the source not only of heat and light, but also of a continuous stream
(E) The Sun is the source of not only heat and light but, as well, of a continuous streaming

D should be the answer...not only...but also...is correctly used...
A B C are awkward and unidomatic...parallelism is wrong.
in E its wordy..as well as...
D is correct...please put the answers..
D should be the answer...not only...but also...is correctly used...
A B C are awkward and unidomatic...parallelism is wrong.
in E its wordy..as well as...
D is correct...please put the answers..

Affirmative πŸ˜ƒ
IMHO, the answer must be B. What the sentence says is: Kwame Nkrumah is already settled in Gharla and he has invited W. E. B. Du Bois for something...not mentioned here.

(A) At the invitation of - invitation of somthing that is inanimate (like his/her wedding) and not of a person.

(B) When he was invited by - ties correctly with invited by person and then use of settled, matches the tense.

(C) An invitation coming from - ruled out todally...very awkward const.

(D) An invitation that came from - came from someone, ok. But must have and instead of comma.

(E) After having an invitation by - by incorrectly used.

Hope answer is correct...else i will be 😞 ??:

Cheers!
Satish

Sorry Satish, the correct answer is 'A'. I dont know the analysis :(.
And even this one guys!!

At the time of the Mexican agrarian revolution, the most radical faction, that of Zapata and his followers, proposed a return to communal ownership of land, to what had been a pre-Columbian form of ownership respected by the Spaniards.

(A) land, to what had been a pre-Columbian form of ownership respected by the Spaniards
(B) land, a form of ownership of the pre-Columbians and respected by the Spaniards
(C) land, respected by the Spaniards and a pre-Columbian form of ownership
(D) land in which a pre-Columbian form of ownership was respected by the Spaniards
(E) land that had been a pre-Columbian form of ownership respected by the Spaniards

The answer to this is 'A'. Can some one help me with the analysis please??
And try this too. Post analysis please :)

As well as heat and light, the Sun is the source of a continuous stream of atomic particles known as the solar wind.

(A) As well as heat and light, the Sun is the source of a continuous stream
(B) Besides heat and light, also the Sun is the source of a continuous stream
(C) Besides heat and light, the Sun is also the source of a continuous streaming
(D) The Sun is the source not only of heat and light, but also of a continuous stream
(E) The Sun is the source of not only heat and light but, as well, of a continuous streaming


At a recent session, the French government has decided that Paris needs a second, larger opera house to complement the famous Paris Opera.

(A) has decided that Paris needs
(B) decided that Paris needs
(C) has decided that Paris will need
(D) decided that Paris has a need of
(E) has decided that Paris needed

As well as heat and light, the Sun is the source of a continuous stream of atomic particles known as the solar wind.

(A) As well as heat and light, the Sun is the source of a continuous stream
(B) Besides heat and light, also the Sun is the source of a continuous stream
(C) Besides heat and light, the Sun is also the source of a continuous streaming
(D) The Sun is the source not only of heat and light, but also of a continuous stream
(E) The Sun is the source of not only heat and light but, as well, of a continuous streaming

Answer is 'A'. Why is the answer not 'E'? Can some one help me please?

At a recent session, the French government has decided that Paris needs a second, larger opera house to complement the famous Paris Opera.

(A) has decided that Paris needs
(B) decided that Paris needs
(C) has decided that Paris will need
(D) decided that Paris has a need of
(E) has decided that Paris needed

Answer is 'B'

159) Based on accounts of various ancient writers, scholars have painted a sketchy picture of the activities of an all-female cult that, perhaps as early as the sixth century B.C., worshipped a goddess known in Latin as Bona Dea, "the good goddess."

(A) Based on accounts of various ancient writers
(B) Basing it on various ancient writers' accounts
(C) With accounts of various ancient writers used for a basis
(D) By the accounts of various ancient writers they used
(E) Using accounts of various ancient writers

What should be the answer????