Five cards are to be selected at random from 1 to 10 cards numbered 1 to 10. How many ways are possible that the average of five numbers selected will be greater than the median ?

What is the median number of employees assigned per project for the projects at Company Z?

(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.

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 ((t^2)-1)/(t-1)=2, then what value(s) may t have?

A) 1 only
B) -1 only
C) 1 or -1
D) no values
E) an infimite number of values

For every positive integer ‘n’ the h(n) is defined to be product of all even integer from 2 to n inclusive. If ‘P’ is the smallest prime factor of h(100)+1, then P is between ?

a) 3 and 10

b) 10 and 20

c) 20 and 30

d) 30 and 40

e) 40 and above.

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.

The curved surface area of a cylinder is 24/7 times the total flat surface area(top +bottom).If the biggest possible cone is cut out from the cylinder, what is the ratio of the curved surface area of the cone to its flat surface area?

A) 24/7
B) 25/7
C) 27/7
D) 29/7
E) 30/7

A valid argument is often defined as one in which it is not possible for all the premises to be true and the conclusion false. A circular argument is sometimes defined as one in which one of the premises is identical to the conclusion. From these definitions we can infer that…

A. Every circular argument is valid as long as its premises are true.
B. Every valid argument is circular.
C. No circular argument is valid.
D. Some circular arguments are valid, and some are not.
E. Some circular arguments are not valid, and some valid arguments are not circular.

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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

A group of 8 friends want to play doubles tennis. How many different ways can the group be divided into 4 teams of 2 people?

A. 420
B. 2520
C. 168
D. 90
E. 105

Which of the following is a factor of the expression ((2x)^2)+1 ?

A) x+2
B) x-2
C) x+sqrt2
D) x-sqrt2
E) None of these

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.

You can transfer your ISA to another manager but please note that you can only transfer the whole of an ISA for a current tax year to the same component of the same type of ISA. However, you can transfer some or all of the investments you hold in ISAs for previous tax years, from one component of an ISA to the same component of any mini or maxi ISA. Although we do not currently intend to make a transfer-out charge, we have the right to make a charge of £50 for each transfer.

Which of the following operations are specifically forbidden by this regulation?

Transferring an entire maxi ISA to the maxi ISA of another ISA manager. Transferring a mini ISA from last year to a mini ISA for this year. Transferring a maxi ISA from two years ago to a maxi ISA for this year. Transferring a maxi ISA to a mini ISA for another ISA manager. Putting extra money into either a mini or maxi ISA.

Please provide some explanation for this problem.

Headway is now targeted at a wider readership – to include all NUT members who are on the leadership salary spine. This year’s NUT membership credential gave members the opportunity to identify themselves as teachers on the leadership spine and Headway will, in future, be mailed directly to all members so identified.

From the text above, which of the following can we reasonably conclude?

Headway is a free newspaper. Formerly, the readership of Headway did not include members on the leadership salary spine. Teachers can only be present on the leadership spine thanks to the NUT. The readership for Headway will increase in future years. Teachers cannot get access to Headway unless it is mailed to them.

I find this question very confusing. Can you please give some pointers?

An extract from Cathy’s school report: “Cathy has not done her written work particularly well, but has always been willing to volunteer answers when personally required to do so.”

This statement is unsatisfactory because

it may not be accurate about Cathy’s written work. it contains a contradiction. it assumes that the answers Cathy volunteers are correct. the comments about Cathy volunteering answers are incompatible with those made about her written work. it does not specify in what way Cathy’s written work is deficient.

Princess Diana’s dresses set the standard for all fashion houses in Europe. Such a thing didn’t happen before or since.

didn’t happen before or had neither happened before or didn’t happen before and hasn’t happened hasn’t happened either before or hadn’t happened before and hasn’t happened

At an enormous research cost, a leading chemical company has developed a manufacturing process for converting wood fibers into a plastic. According to the company, this new plastic can be used for, among other things, the hulls of small sailboats. But what does the company think sailboat hulls used to be made of? Surely the mania for high technology can scarcely go further than this.

The author’s opinion of the manufacturing process described in the passage is based primarily on the fact that :

(A) plastic is unlikely to be durable enough for high-quality sailboat hulls

(B) the research costs of developing the process outweigh any savings possible from the use of the plastic

(C) a small sailboat is not normally regarded as a high-tech product

(D) hulls for small sailboats can be made from wood without converting it into plastic

(E) many other spheres of human activity are in far greater need of technological research

Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

A) 30%
B) 100/3 %
C) 75/2 %
D) 40%
E) 50%

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

A 30% solution of barium chloride is mixed with 10 grams of water to form a 20% solution. How many grams of original solution did we start with ?

A) 10
B) 15
C) 20
D) 25
E) 30