A certain junior class has 1000 students and a certain senior class has 800 students. Among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?

a) 3/40,000
b) 3/20,000
c) 1/32
d) 1/20,000
e) None of these
Please post the explanations if you know.

A certain river has current of 3 miles per hour. A boat takes twice as long to travel upstream between two points as it does to travel downstream between the same two points. What is the speed of the boat in still water ?

A) 3 miles per hours
B) 6 miles per hours
C) 9 miles per hours
D) 12 miles per hours
E) The speed cannot be determined from the given ingformation

Idiom List

1) a debate over
2) a lot
3) a responsibility to
4) a result of
5) a sequence of
6) acclaimed as is the correct idiom (Acclaimed to be is wrong)
7) accompanied by….
adapted for
9) Adverb twice cannot be an object of proposition ?by?. ?Increase by twice? is incorrect; ?doubled? is correct
10) affect to..
11) agree with
12) Aid in (Aid for is incorrect)
13) Allergy to (Allergy of, allergy for are incorrect)
14) Allocated to is the correct idiom
15) alternative to….
16) as a result of…
17) as an instance of
18) as good as…or better than
19) as great as
20) as much as
21) Associate X with Y
22) assume …to be of…
23) At least as strong as(At least as great as)
24) Attempt to ?do something? (Attempt at doing is incorrect).
25) attend to (someone)
26) attribute X to Y/X is attributed to Y
27) based on
28) believe X to be Y
29) Believed to have
30) benefit from…
31) better served by X than Y ..
32) between X and Y
33) Both X and Y (Both X as well as Y is incorrect) Both at X and at Y is correct. Both on X or on Y is correct.
34) Business ethics – Is a singular word
35) call…to consider…
36) centers on
37) Combined X with Y OR Combined X and Y (Both are correct)
38) Compensate for
39) Concerned for – worried; concerned with – related/affiliated
40) conform to
41) Consider X to be Y (a little controversial)
42) contrary to…
43) created with
44) Credit X Rupees to Y?s account (When money is involved)
45) Credit X with discovering Y (Credit with doing something)
46) decline in….
47) defined as
48) depends on whether
49) depicted as
50) Descendent of (Descendent for is incorrect)
51) Different from one another (Different one from the other is wrong)
52) Distinguish between X and Y (2 very different items, distinguished, say red and green colors)
53) Distinguish between X and Y (Distinguish X from Y is incorrect)
54) Distinguish X from Y (Two pretty similar items, say original paintings from fake ones)
55) doubt that
56) either…or
57) enable to
58) entrusted with…
59) Estimated to be (Estimated at is incorrect)
60) expected that X would be Y …
61) expected X to be Y …
62) extent to …
63) fascinated by
64) for jobs..
65) for over…XXX years…
66) forbid X to do Y identical with
67) forcing …to…
68) From X to Y (Grow from 2 million to 3 billion) (From X up to Y is wrong)
69) Given credit for being ones – who
70) had better(do)
71) In an attempt to (gain control)
72) in contrast to
73) independent from
74) indifferent towards
75) Intent on
76) interaction of …
77) Just as – So too
78) May be (This is a word) is idiomatic, maybe (This means perhaps) is not idiomatic
79) Mistake X for Y
80) modeled after
81) more than ever
82) more X than Y …
83) more…than / less…than
84) more…than ever…
85) must have (done)
86) Native of (Native to is also used in some cases)
87) Neither – Nor should have parallel forms associated to it.
88) no less….than
89) No sooner than
90) Not in a flash but in a
91) not only…but also
92) Not so much to X as to Y
93) not X …but rather Y ..
94) noted that ..
95) one attributes X (an effect) to Y (a cause)
96) One X for every ZZ( some numeric number) Y’s …
97) Persuaded X to do Y
98) Plead guilty for failing
99) Potential for causing
100) potential to
101) prohibits X from doing Y
102) range from X to Y
103) range of …
104) reason?.. that incorrectly seen as reason?.. because
105) ?Regard as? is the correct idiom — Regarded as having, Regarded as ones who have
106) regardless
107) regards X as Y …
108) replacing with…
109) Require that X be Y (Not require that X is Y)
110) research to
111) responsible for
112) restitution…for …
113) resulting in
114) retroactive to
115) Same as X..as to Y
116) same to X as to Y
117) seem…to…(seem is plural)
118) so (adjective) that
119) So X as to be Y (So unreal as to be true)
120) So X that Y (So poor that they steal)
121) subscribe to
122) such…as
123) targeted at
124) that X …that Y …
125) That X is called for is indicated both by Y and by Z.
126) the same to X as to Y
127) to .. used to (example to get used to or to become used to)
128) to contrast X with Y
129) To exchange X for Y (exchange X with Y or any other form is incorrect)
130) to mistake X for Y
131) to monitor …
132) to orbit…
133) To ratify (At ratifying is incorrect) An attempt to ratify is the correct use
134) to result in
135) to sacrifice X for Y
136) to survive
137) To try to fix is the right idiom (to try and fix is incorrect)
138) To worry about someone?s condition (To keep worrying over an action)
139) used in the construction…
140) used to (do)
141) viewed marriage as
142) way to provide (Way for providing is incorrect)
143) When ?rates? means ?prices charged? it should be followed with ?for?
144) widely anticipated that….
145) Worried about (When talking about someone?s condition)
146) X [is] expected to Y
147) X as Y ..
148) X forbids Y to do Z …
149) X is attributed to Y
150) X is different from Y (different than Y is incorrect)
151) X is to what Y is to
152) X is unknown, nor it is known – is a correct idiom (Neither is not required)
153) X ordered that Y be Z’ed…
154) X ordered Y to be Z’ed..
155) X ordered Y to do Z
156) X prohobits Y from doing Z …

(Contributed by David)

Note: Add more idioms in comment box. We will add them asap.

What is the standard deviation of Q, a set of consecutive integers?

(1) Q has 21 members.
(2) Q has 20 members

A) Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B) Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C) Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D) Each statement alone is sufficient to answer the question.
E) Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses?

(1) The price of Tom’s house was $110,000.
(2) The price of Jane’s house was $120,000.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Vertices of a quadrilateral ABCD are A(1,1), B(5,6), C(10,10) and D(6,5). What is the shape of the quadrilateral?

A. Square
B. Rectangle but not a square
C. Rhombus
D. Parallelogram but not a rhombus
E. None of these

A policeman chases after a thief who has a 400 KM head start. They run at constant speeds, with the policeman running 10 km every 6 minutes and the thief 10 km every 10 minutes. How long will policeman take to catch up with the thief?

A) 3 hrs
B) 5 hrs
C) 8 hrs
D) 10 hrs
E) 15 hrs

Q is a prime number bigger than 10. What is the smallest positive number (except 1) that 3Q can be divided by equally?

a) 3Q.
b) Q
c) 3
d) Q+3
e) 2Q

A fair, six-sided die is rolled. What is the probability of obtaining a 3 or an odd number?

A. 1/6
B. 1/5
C. 1/4
D. 2/3
E. 1/2

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Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of 1 percent grade, y gallons of 2 percent grade and z gallons of 3 percent grade are mixed to give x+y+z gallons of 1.5 percent grade, what is x in terms of y and z?

A. y + 3z
B. (y+z)/4
C. 2y + 3z
D. 3y + z
E. 3y + 4.5z

For how many two digit positive numbers will tripling the tens digit give us a two digit number that is triple the original. (Contributed by: Srinivasan, Hyderabad)
A) None
B) 1
C) 2
D) 3
E) 4

The proposed health care bill would increase government regulation of health insurance, establish standards that would guarantee wider access to people with past health problems and to workers changing jobs who otherwise could be uncovered for months.

(A) establish standards that would guarantee wider access to people with past health problems and to workers changing jobs who
(B) establishing standards that would guarantee wider access to people with past health problems and to workers who are changing jobs and
(C) to establish standards that would guarantee wider access to people with past health problems and to workers who change jobs that
(D) for establishing standards that would guarantee wider access for people with past health problems and workers changing jobs who
(E) for the establishment of standards that would guarantee wider access for people with past health problems and workers who are changing jobs that

Building large new hospitals in the bistate area would constitute a wasteful use of resources, on the basis of avoidance of duplicated facilities alone.

(A) on the basis of avoidance of duplicated facilities alone
(B) on the grotlnds of avoiding duplicated facilities alone
(C) solely in that duplicated facilities should be avoided
(D) while the duplication of facilities should be avoided
(E) if only because the duplication of facilities should be avoided

General Grammar Resources

http://www.ccc.commnet.edu/grammar/

http://newark.rutgers.edu/~jlynch/Writing/

http://www.grammarstation.com

A, An, The (articles)

http://www.learnenglish.org.uk/words/activities/articles01.h tml
http://www.impactseries.com/star%20files/wwwboard/messages/4 .html
http://depts.gallaudet.edu/englishworks/grammar/main/article s.htm

http://www.rensselaer.edu/dept/llc/writecenter/web/esl.html

http://webster.commnet.edu/grammar/determiners/determiners.h tm#articles

http://efl.bravepages.com/grammar2.htm

Adjectives

http://webster.commnet.edu/grammar/adjectives.htm

http://hem.passagen.se/peter9/gram/g_adj.html

http://www.factmonster.com/ipka/A0885349.html

http://www.grammarstation.com/KnowyourAdjectives.html

http://www2.actden.com/writ_den/tips/sentence/adjectiv.htm

http://grammar.englishclub.com/adjectives.htm

http://www.uottawa.ca/academic/arts/writcent/hypergrammar/ad jectve.html
http://ellerbruch.nmu.edu/CS255/cusher/partsofspeech/adjecti ve.html

Nouns

http://webster.commnet.edu/grammar/nouns.htm

http://hem.passagen.se/peter9/gram/g_sub.html

http://www.grammarstation.com/KnowYourNouns.html

http://ellerbruch.nmu.edu/CS255/cusher/partsofspeech/noun.ht ml

http://www2.actden.com/writ_den/tips/sentence/nouns.htm

http://www.ojohaven.com/collectives/

http://grammar.englishclub.com/nouns.htm

Adverbs

http://www.grammarstation.com/KnowYourAdverbs.html

http://webster.commnet.edu/grammar/adverbs.htm

http://ellerbruch.nmu.edu/CS255/cusher/partsofspeech/adverb. html

Clauses

http://www.uottawa.ca/academic/arts/writcent/hypergrammar/bl dcls.html

http://webster.commnet.edu/grammar/clauses.htm

http://owl.english.purdue.edu/handouts/grammar/g_clause.html

http://www.edict.com.hk/vlc/clauses/default.htm

http://eslbee.com/AdjClauses.htm

Plurals

http://webster.commnet.edu/grammar/plurals.htm

http://owl.english.purdue.edu/handouts/grammar/g_spelnoun.ht ml
http://web2.uvcs.uvic.ca/elc/studyzone/330/grammar/irrplu.ht m
http://www.wm.edu/CAS/modlang/gasmit/grammar/nouns/plurals.h tm

Prepositions

http://hem.passagen.se/peter9/gram/g_prp.html

http://webster.commnet.edu/grammar/prepositions.htm

http://ellerbruch.nmu.edu/CS255/cusher/partsofspeech/preposi tion.html

Pronouns

http://hem.passagen.se/peter9/gram/g_prn.html

http://webster.commnet.edu/grammar/pronouns1.htm

http://ellerbruch.nmu.edu/CS255/cusher/partsofspeech/pronoun .html
http://www.uottawa.ca/academic/arts/writcent/hypergrammar/us epronn.html

Verbs

http://hem.passagen.se/peter9/gram/g_vrb.html

http://webster.commnet.edu/grammar/verbs.htm

http://ellerbruch.nmu.edu/CS255/cusher/partsofspeech/verb.ht ml
http://www.uottawa.ca/academic/arts/writcent/hypergrammar/us everb.html

Verb Tenses

http://www.grammarstation.com/servlet/GrammarGuide?type=VB

http://owl.english.purdue.edu/handouts/esl/esltensverb.html

http://leo.stcloudstate.edu/grammar/tenses.html

http://www.uottawa.ca/academic/arts/writcent/hypergrammar/us etense.html

http://www.pacificnet.net/~sperling/quiz/vtr.html

http://grammar.englishclub.com/verb-tenses.htm

http://www.ruthvilmi.net/hut/help/grammar_help/verbs.html

http://www.tc.cc.va.us/writcent/handouts/grammar/verbtens.ht m

http://www.lsilver.net/tense.htm

http://www.tc.cc.va.us/writcent/handouts/grammar/verbtens.ht m

Voice (active/passive)

http://www.grammarstation.com/servlet/GrammarGuide?type=ACTI VEPASSIVE
http://owl.english.purdue.edu/handouts/grammar/g_actpass.htm l

http://www.uvsc.edu/owl/handouts/active-passive-voice.html

http://grammar.englishclub.com/verbs-voice.htm

http://www.law.cuny.edu/wc/multilingual/active_passive.html

http://jade.ccccd.edu/cobb/passive.html

http://www.english.uiuc.edu/cws/wworkshop/grammar/active_and _passive_voice.htm
http://uark.edu/campus-resources/qwrtcntr/resources/handouts /activepassive.htm
http://www.geocities.com/Athens/Atrium/5852/Voices/active_pa ssive.html

http://webster.commnet.edu/grammar/passive.htm

(Countributed by David)

Note: You can add more links in comments, We will update it asap.

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In an examination there are three multiple choice questions and each questions has 4 choices. Number of sequences in which students can fail to get all answers correct ?

A) 11
B) 15
C) 63
D) 80
E) 83

A vessel is filled with a liquid in which 5 parts are milk and 3 parts are water. What fraction of mixture must be drawn off are replaced with water. So that the mixture may be half water and half milk.

a) 1/2
b) 1/3
c) 2/3
d) 1/5
e) 1/8

Working alone at its constant rate, machine K took 3 hours to produce ¼ of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the unites produced last Friday. How many hours would it have taken machine M, working along at its constant rate, to produce all of the units produced last Friday?

Â

(A)Â 8

(B)Â Â 12

(C)Â 16

(D)Â 24

(E)Â Â 30

Since chromosome damage may be caused by viral infections, medical x-rays, and exposure to sunlight, it is important that the chromosomes of a population to be tested for chemically induced damage be compared with those of a control population.

(A) to be tested for chemically induced damage be compared with
(B) being tested for damage induced chemically are compared with
(C) being tested for chemically induced damage should be compared to
(D) being tested for chemically induced damage are to be compared to
(E) that is to be tested for chemically induced damage are to be comparable with