What is the standard deviation (SD) of the four numbers p, q, r, s?

1. The sum of p, q, r and s is 24
2. The sum of the squares of p, q, r and s is 224

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.

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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 #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

On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

A) 0
B) 1
C) 2
D) 3
E) 4

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.

How many positive integers exist between 10^6 and 10^7, the sum of whose digits equal to 2 ?

A) 5
B) 6
C) 7
D) 8
E) 18

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

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

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?

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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

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