A man is known to speak truth 3 out of 4 times. He throws die and reports that it is a 6. The probability that it is actually a 6 is

A) 3/4
B) 5/8
C) 2/5
D) 3/5
E) 4/5

John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

If each of the 8 employees working on a certain project received an award, was the amount of each award the same?
(1) The standard deviation of the amounts of the 8 awards was 0.
(2) The total amount of the 8 awards was $10,000.

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.

If #X =3X for all odd numbers and #Y = Y/2 for all even numbers. What will be the value of #9*# 6

A) 81
B) 27
C) 64
D) 51
E) 279

If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?

A) 5 to 4
B) 3 to 2
C) 2 to 1
D) 5 to 1
E) 6 to 1

Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)

A) 20
B) 92
C) 300
D) 372
E) 476

It takes 6 technicians 10 hours to build and program a new server, with each working at the same rate. If six technicians start to build the server at 11:00 AM, and one technician per hour is added beginning at 5:00 PM, at what time will the server be complete?

A) 7:00 PM

B) 8:00 PM

C) 7:40 PM

D) 7:20 PM

E) 6:40 PM

A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 10:00 a.m., at what time was it one-eighth full?

(A) 9:00 a.m.
(B) 7:00 a.m.
(C) 6:00 a.m.
(D) 4:00 a.m.
(E) 2:00 a.m.

If r>t and r<1 and rt=1, then which one of the following must be true ?

A) r>0 and t<-1
B) r>-1 and t<-1
C) r<-1 and t<-1
D) r<1 and t>1
E) r>1 and t<0

There are seven empty seat on a bus and four people entre . In how many ways can be seated ?

A) 3024
B) 840
C) 720
D) 120
E) 24

John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

Out of 18 points in a plane ,no three are in same straight line except five points which are collinear. The number of triangles, which can be formed by joining them is

A) 816
B) 806
C) 800
D) 750
E) 676

According to a panel of health officials, there has been a great deal of confusion in the medical profession about whether obesity is a biological disorder posing serious health risks or a condition more related to appearance than to health.
(A) about whether obesity is a biological disorder posing serious health risks or a condition more related to appearance than to
(B) with respect to obesity being a biological disorder posing serious health risks or if it is related more to appearance than
(C) over whether or not obesity is a biological disorder posing serious health risks or it is a condition more related to appearance than to
(D) about obesity and if it is a biological disorder posing serious health risks or a condition related to appearance more than to
(E) concerning whether obesity is a biological disorder posing serious health risks or it is a condition related to appearance more than

At a fruit stand yesterday, the price of each apple was $0.10 more than the price of each orange. What was the total revenue from the sale of oranges at the fruit stand yesterday?

(1) The number of oranges sold at the fruit stand yesterday was 5 more than the number of apples.
(2) The total revenue from the sale of apples at the fruit stand yesterday was $15.00

From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?

Â

A. 1/10

B. 4/9

C. 1/2

D. 3/5

E. 2/3

If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n+2) will be divisible by 8?

A. 1/4
B. 3/8
C. 1/2
D. 5/8
E. 3/4

How many ways to choose a committee of 3 people from 4 couples so that no couple is chosen.

A) 36
B) 48
C) 210
D) 306
E) None of these

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.

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.

A string of 10 lightbulbs is wired in such a way that if any individual lightbulb fails, the entire string fails. If for each individual lightbulb the probability of failing during time period T id 0.06, what is the probability that the string of lightbulbs will fail during time period T?

A.0.06

B.(0.06)^10

C.1-(0.06)^10

D.(0.94)^10

E.1-(0.94)^10