MU-NLPC/Calc-aqua_rat huggingface dataset:
Paul sells encyclopedias door-to-door. He earns $40 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period?  Options
A) 13,200	B) 14,800	C) 14,900	D) 15,600	E) 19,600

Solution: His pay check was $1320.   Out of this, $40 was his fixed salary so the total commission he earned was $1320 - $40 = $1280   He earns 10% on the sales of first $10,000 which gives a commission of $1000.   He earns 5% on every subsequent dollar. Since he earns another $280, he must have had sales of another 280*(100/5)  1320 -  40= 
 1320 -  40 = 1_280
$1280   He earns 10% on the sales of first $10,000 which gives a commission of $1000.   He earns 5% on every subsequent dollar. Since he earns another $280, he must have had sales of another   280*(100/5)= 
  280*(100/5) = 5_600
5600   So his total sales must have been $10,000 + $5600= $15,600   15,600
Answer: D
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?  Pick:
A) 7	B) 8	C) 6	D) 9	E) 2

Solution: 96% ---- 12   144% ---- ?     96/144 * 12= 
  96/144 * 12 = 8
8   Answer: 8
Answer: B
By how much is three-fifth of 380 greater than four-seventh of 210 ?  Select the correct option:
A) 90
B) 100
C) 108
D) 120
E) 130

Solution: Explanation:   3/5 of 380 - 4/7 of 210 = 228 - 120= 
228 - 120 = 108
108.   Answer: 108
Answer: C
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?  Choices
A) 1/2
B) 10/21
C) 9/11
D) 7/11
E) 5/11

Solution: Total number of balls = 2 + 3 + 2= 
2 + 3 + 2 = 7
7   Let S be the sample space.   n(S)= Total number of ways of drawing 2 balls out of 7 = 7C2   Let E = Event of drawing 2 balls , none of them is blue.   n(E) = Number of ways of drawing 2 balls , none of them is blue   = Number of ways of drawing 2 balls from the total 5 (=7-2) balls = 5C2   (∵ There are two blue balls in the total 7 balls. Total number of non-blue balls = 7 - 2= 
7 - 2 = 5
5)   P(E)= n(E)/n(S)=5C2/7C2=(5×4/2×1)/(7×6/2×1)=5×4/7×6=10/21   ANSWER:10/21
Answer: B
there are 5 envelope and 5 letters placed at random. what is the probability that no single letter is placed in the right envelope
Choose the correct choice from the following.
A) 117/120 B) 118/120 C) 119/120 D) 116/120 E) 115/120

Solution: probability that no single letter is placed in the right envelop is = 1- (placing all the letters in the right envelop)   i.e 5 letters will go in their right envelops in only 1 way, and total cases is 5!   so, 1-(1/5!) = 119/120   ANSWER:119/120
Answer: C
kareena, Saif, and a puppy start walking down a road.
They start at the same time, from the same point, in the same direction.
The saif walks at 5 miles/hour
kareena at 6 miles/hour.
The puppy runs from saif to kareena and back again with a constant speed of 10 miles/hour.
The puppy does not slow down on the turn.
How far does the puppy travel in 1 hour?
Select.
A) 10 miles
B) 14 miles
C) 12 miles
D) 20 miles
E) 30 miles

Solution: 10 miles   10 miles   Speed us 10miles/hour
Answer: A
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 46.24, the number of the member is the group is:  Choose the correct choice from the following.
A) 57 B) 68 C) 77 D) 87 E) 97

Solution: Explanation:   Money collected = (46.24 x 100) paise = 4624 paise.   ∴ Number of members = √(4624) = 68.   Answer: 68
Answer: B
For a construction,15 peoples are working. But constructor wants extra 3 people out of 5 people.What is possible selection?
Options:
A) 10	B) 5	C) 7	D) 8	E) 6

Solution: 5C3=5!/2!*3!=5*4*3!/3!*2*1=10 possible ways to select the extra 3 people for construction   10nswer is option 10
Answer: A
Of the 120 passengers on Flight 750, 60% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class? Choose the correct choice from the following answers:  A) 44  B) 48  C) 50  D) 64  E) 56

Solution: Number of passengers on flight = 120   Number of female passengers= .6*120= 
.6*120 = 72
72   Number of passengers in first class= (10/100)* 120= 
(10/100)* 120 = 12
12   Number of passengers in coach class= (90/100)* 120= 
(90/100)* 120 = 108
108   Number of male passengers in first class= 1/3 * 12= 
1/3 * 12 = 4
4   Number of female passengers in first class= 12-4= 
12-4 = 8
8   Number of female passengers in coach class= 72 - 8= 
72 - 8 = 64
64   Answer 64
Answer: D
John and Jacob set out together on bicycle traveling at 18 and 15 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 18 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)	Select the correct option: A) 3 B) 3 1/3 C) 3 1/2 D) 4 E) 4 1/3

Solution: John's speed - 18 miles/hr   Jacob's speed - 15 miles/hr   After 40min (i.e 2/3hr), distance covered by John = 18x2/3 = 12 miles.   Jacob continues to ride for a total of 1hour and 40min (until John's bike is repaired). Distance covered in 1 hour 40min (i.e 5/3hr) = 15x5/3 = 25 miles.   Now, when John starts riding back, the distance between them is 13 miles. Jacob and John are moving in the same direction.For John to catch Jacob, the effective relative speed will be   18-15= 
  18-15 = 3
3 miles/hr.   Thus, to cover 13 miles at 3 miles/hr, John will take 13/3= 4 1/3 hours   Answer 4 1/3
Answer: E
#88
A necklace is made by stringing C individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then C could equal	Choose the correct choice from the following answers:	A) 16	B) 32	C) 41	D) 54	E) 58

Solution: You can just write out the pattern and count: RGWBYRGWBYRGWBY... But to save time a good test taker will just look for a pattern. Min # is 3, because W is the third one. Then every 5 beads another white comes, so it must be 3+5= 
3+5 = 8
8   3+5+5= 
3+5+5 = 13
13   3+5+5+5= 
3+5+5+5 = 18
18   3+5+5+5+5= 
3+5+5+5+5 = 23
23   So you see it ends in either 8 or 3. 58 IS THE NO. 58
Answer: E
If the quantity (p − 25) is 5 times the quantity (q − 5), then what is the relationship between p and q?	Choose the correct choice from the following answers:
A) p = 5q + 30
B) p = 5q − 30
C) 5p = q + 20
D) p = 5q
E) p = 5q − 20

Solution: p-25=5(q-5)   p-25=5q-25   p=5q   option p = 5q
Answer: D
Three cubes of metal whose edges are 9, 12 and 18 cm respectively, are melted and one new cube is made. Find the edge of the new cube?  Options
A) 20.2  B) 77  C) 66  D) 18  E) 99

Solution: 93 + 123 + 183 = a3 => a   = 20.2   20.2nswer: 20.2
Answer: A
If 80 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Options:
A) 60 % B) 65 % C) 70% D) 75% E) 80%

Solution: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}   100 = 80 + 75 - {Both correctly} + 5   {Both correctly} = 60.   60 %nswer: 60 %.
Answer: A
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?  Choose the correct choice: A) 18 B) 24 C) 22 D) 20 E) 19

Solution: Let the required number of days be x.   Less men,More days=27;36::18:x   27x=36*18   x=(36*18)/27   x=4*6= 
4*6 = 24
24 days.   Answer:24
Answer: B
It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 3 mile/hour, what is the speed with which Joey returns?	Choose the correct choice from the following answers.
A) 1  B) 6  C) 13  D) 14  E) 15

Solution: let his speed for one half of the journey be 2 miles an hour   let the other half be x miles an hour   now,   avg speed =3 mile an hour   2*2*x/2+x=3   4x=3x+6=>x=6   6
Answer: B
John,David and Xavier enter into partnership. John invests some money at the beginning, David invests double the amount after 6 months, and Xavier invests thrice the amount after 8 months. If the annual gain be Rs.24000. John's share is?
Options.
A) 7500  B) 7250  C) 8000  D) 8200  E) 8100

Solution: x* 12 : 2x* 6: 3x* 4   1:1:1   1/3 * 24000= 
1/3 * 24000 = 8_000
8000   Answer: 8000
Answer: C
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?	Select:
A) 18
B) 76
C) 12
D) 17
E) 13

Solution: S:E = 1:3   E:M = 3:5   ------------   S:E:M = 3:9:15   3/27 * 162= 
3/27 * 162 = 18
18   18nswer:18
Answer: A
Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and the remaining are hard-cover. If there are a total of 7 hard-cover books among the maths and physics books. What is the probability R, that a book selected at random is either a hard cover book or a chemistry book?	Choose one:
A) 1/10
B) 3/20
C) 1/5
D) 1/4
E) 9/20

Solution: First phase of this problem requires you to determine how many mathematics and chemistry books are even on the shelf. To do so, you have the equations:   m + p + c = 20 (since 4/5 of the 25 spots are full of books)   m = 2p   p = 4 + c   From that, you can use Substitution to get everything down to one variable.   c = p - 4   m = 2p   p = p   Then (p - 4) + 2p + p = 20, so 4p = 24 and p = 6. That means that there are 12 math, 6 physics, and 2 chemistry books on the shelf.   With those numbers, you also know that there are 8 total hardcovers, 1 of which is chemistry. So if your goal is to get either a hardcover or a chemistry, there are 9 ways towin- either one of the 7 hardcovers that aren't chemistry or the two chemistry books. So out of the 20 total, R=9 provide the desired outcome, making the answer 9/20.
Answer: E
The average mark obtained by 23 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?	Choose the correct choice from the following answers:
A) 26	B) 45	C) 90	D) 80	E) 65

Solution: It is clear that 23 x 45 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 45   Answer:45
Answer: B
When asked what the time is,a person answered that the amount of time left is 1/2 of the time already completed.what is the time.	Pick one:	A) 2 PM	B) 9 PM	C) 3 PM	D) 4 PM	E) 6 PM

Solution: A day has 24 hrs. Assume x hours have passed. Remaining time is (24 - x)   24−x=1/2x⇒x=16   Time is 4 PM   Answer:4 PM
Answer: D
If x is to be chosen at random from the set {5,6,7,8} and y is to be chosen at random from the set {3,4,5}, what`s the probability that xy will be even? Choices:
A) 1/6 B) 1/3 C) 1/2 D) 5/6 E) 2/3

Solution: The product to be even either one or both must be even, so:   P(x=even OR y=even)=P(x=even)+P(y=even)-P(x=even AND y=even)=2/4+1/3-2/4*1/3=2/3;   Or: P(xy=even)=1-P(xy=odd)=1-2/4*2/3=2/3, so basically we find the probability of the product to be odd (which happens when both x and y are odd) and subtract it from 1.   Answer: 2/3.
Answer: E
How many prime numbers between 50 to 100?  Answers:
A) 11	B) 10	C) 15	D) 14	E) 12

Solution: primes are of the form 6n+1 or 6n-1   Put n=9   6n+1=6*9+1= 
6*9+1 = 55
55 where 55 is not prime   for n=9   6n-1=6*9-1= 
6*9-1 = 53
53   for n=10 , 6n-1= 59 and 61   for n=11 , ==> 67   for n =12 ==> 73 and 71   for n =13 ==> 79   for n =14 ==> 83   for n=15 ==> 89   for n =16 ==> 97   therefore total number of prime numbers = 10   Ans - 10
Answer: B
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 7hrs if the speed of the bike is twice speed of the tractor?	Choose the correct option
A) 400 km B) 500 km C) 360 km D) 550 km E) 630 km

Solution: Sol. Average speed of a tractor = 25 km / h   The speed of a bus in an hour = 25 × 2 = 50 km   The speed of a car in an hour = 9/5 * 50= 
9/5 * 50 = 90
90 km   So, the distance covered by car in 7 h is   90 × 7= 630 km   Ans.(630 km)
Answer: E
A,B,C together can do a work in 12 days. A alone can do the work in 45 days and B alone can do the same work in 55 days. Find in what time C alone can do that work?	Choices
A) 28.80days	B) 17days	C) 23.29days	D) 30days	E) 33.20days

Solution: The required answer is = 12*45*55 / 45*55-12(45+55)   = 29700/1275 = 23.29days   Answer is 23.29days
Answer: C
There are 1200 military people in a division of the army. There is one Officer for every 15 soldiers in that division. Now the question is how many officers are in the division? Choose the correct choice from the following choices:
A) 22
B) 35
C) 37
D) 73
E) 75

Solution: E   75   15 soldiers + 1 officer makes a group of 16 people. Now number of such groups = 1200/16= 
1200/16 = 75
75.
Answer: E
x2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for 'b'? Choose the correct choice from the following answers:  A) 3  B) 12  C) 6  D) 24  E) 8

Solution: Explanatory Answer   In any quadratic equation of the form ax2 + bx + c = 0, represents the value of the sum of the roots and c/a represents the value of the product of the roots.   In the equation given in the question, the product of roots = 72/1= 
72/1 = 72
72.   We have been asked to find the number of values that 'b' can take.   If we determine all possible combinations for the roots of the quadratic equation, we can find out the number of values that 'b' can take.   The question states that the roots are integers.   If the roots are r1 and r2, then r1 * r2= 72, where both r1 and r2 are integers.   Combinations of integers whose product is 72 are : (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and (8, 9) where both r1 and r2 are positive. 6 combinations.   For each of these combinations, both r1 and r2 could be negative and their product will still be 72.   i.e., r1 and r2 can take the following values too : (-1, -72), (-2, -36), (-3, -24), (-4, -18), (-6, -12) and (-8, -9). 6 combinations.   Therefore, 12 combinations are possible where the product of r1 and r2 is 72.   Hence, 'b' will take 12 possible values.   Alternative Method   If a positive integer 'n' has 'x' integral factors, then it can be expressed as a product of two number is x/2 ways.   So, as a first step let us find the number of factors for 72.   Step 1: Express 72 as a product of its prime factors. 23 * 32   Step 2: Number of factors = (3 + 1)*(2 + 1)= 
(3 + 1)*(2 + 1) = 12
12 (Increment the powers of each of the prime factors by 1 and multiply the result)   i.e., 72 has a 12 positive integral factors.   Hence, it can be expressed as a product of two positive integers in 6 ways. For each such combination, we can have a combination in which both the factors could be negative. Therefore, 6 more combinations - taking it to total of 12 combinations.   Choice 12
Answer: B
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?  Select the correct option.
A) Rs.16.57  B) Rs.16.29  C) Rs.16.20  D) Rs.16.50  E) Rs.16.27

Solution: Let the quantities of A and B mixed be 3x kg and 7x kg.   Cost of 3x kg of A = 9(3x) = Rs. 27x   Cost of 7x kg of B = 15(7x) = Rs. 105x   Cost of 10x kg of the mixture = 27x + 105x = Rs. 132x   Cost of 5 kg of the mixture = 132x/10x (5) = Rs. 66   Profit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs.16.50   Answer: Rs.16.50
Answer: D
The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.50 per metre.
Choose the correct choice from the following answers:
A) 2399 B) 3888 C) 2999 D) 5940 E) 2888

Solution: Explanation:   Area = (13.86 x 10000) sq.m = 138600 sq.m   Circumference =   Cost of fencing = Rs. (1320 x 4.50) = Rs. 5940.   Answer: 5940) 5940
Answer: D
A can do a work in 3 days. B can do the same work in 6 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares? Choose the correct answer
A) 600,400
B) 500,500
C) 300,700
D) 800,200
E) 200,400

Solution: Ratio of their works A:B = 3:6   Ratio of their wages A:B = 1:2   A's share = (1/5)1000 = 200   B's share = (2/5)1000 = 400   correct option is 200,400
Answer: E
The price of a T.V. set worth Rs. 15000 is to be paid in 20 installments of Rs. 2000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?	Answers:	A) 29997	B) 28088	C) 27098	D) 13000	E) 2799

Solution: Money paid in cash = Rs. 2000   Balance payment = (15000- 2000) = Rs. 13000.Answer:13000
Answer: D
In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)? Options
A) 27,0  B) 54,2  C) 49/2, 54  D) 49, 27  E) 49, 29

Solution: Given equation: 2*x^4 +0*x^3 - 49*x^2 +0*x +54   let x1 and x2 be two roots of the equation then   sum of roots is x1+x2= (-b)/a= 0/2= 
0/2 = 0
0   and product is given by x1 * x2= c/a=54/2= 
54/2 = 27
27   27,0NSWER:27,0
Answer: A
A ranch has both horses and ponies. Exactly 3/10 of the ponies have horseshoes, and exactly 5/8 of the ponies with horseshoes are from Iceland. If there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?	Select the correct option:  A) 116  B) 132  C) 148  D) 164  E) 180

Solution: 3/10*P are ponies with horseshoes, so P is a multiple of 10.   5/8*3/10*P = 3/16*P are Icelandic ponies with horseshoes, so P is a multiple of 16.   The minimum value of P is 80. Then H = P+4 = 84.   The minimum number of horses and ponies is 164.   The answer is 164.
Answer: D
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is?  Options:
A) 44%  B) 45%  C) 50%  D) 55%  E) 60%

Solution: Let original length = x metres and original breadth = y metres.   Original area = (xy) m2.   New length = 120	x	m	= 6	x	m.   100	5   New breadth = 120	y	m	= 6	y	m.   100	5   New Area = 6	x x	6	y	m2	= 36	xy	m2.   5	5	25   The difference between the original area = xy and new-area 36/25 xy is   = (36/25)xy - xy   = xy(36/25 - 1)   = xy(11/25) or (11/25)xy   Increase % = 11	xy x	1	x 100	%	= 44%.   44%)
Answer: A
In Town X, 65 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?	Select.
A) 16%
B) 27%
C) 32%
D) 40%
E) 52%

Solution: We are asked to find the percentage of females in employed people.   Total employed people 65%, out of which 48 are employed males, hence 17% are employed females.   (employed females)/(total employed people)=17/64=27%   Answer: 27%.
Answer: B
If x and y are integers and |x - y| = 12, what is the minimum possible value of xy?	Choose the correct choice from the following options.
A) -12
B) -18
C) -24
D) -36
E) -48

Solution: we are given |x - y| = 12,   minimum possible value of xy would be maximum numeric value with a -ive sign..   so one of x or y will be negative and other negative..   |x-y|=12 in this case means that the numeric sum of x and y is 12..   various combinations could be -1 and 11, -2 and 10, -6 and 6, -11 and 1 and so on..   when the sum of two numbers is given, the max product is when both x and y are same numeric value...   so xy will have max numeric value when numeric value of x and y=12/2=6..   so numeric value of xy=36 but one of x and y is -ive..   so answer is -36   ANSWER:-36
Answer: D
A train crosses a post in 15 seconds and a platform 100 m long in 25 seconds. Its length is  Pick one:
A) 75
B) 100
C) 125
D) 175
E) 150

Solution: Assume x is the length of the train and v is the speed   x/v = 15 => v = x/15   (x+100)/v = 25 => v = (x+100)/25   Ie, x/15 = (x+100)/25   => 5x = 3x+ 300   => x = 300/2= 
300/2 = 150
150   Answer is 150.
Answer: E
John completes a piece of work in 10 days, Rose completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is? Select the correct option:
A) 5 days
B) 8 days
C) 10 days
D) 12 days
E) 14 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 10 × 40/50 = 8 days   8 days)
Answer: B
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
Select.
A) 3!*8!*4!*4! Ways  B) 8!*4!*4! Ways  C) 3!*8!*4!*Ways  D) 3!*4!*4! Ways  E) 4!*4! Ways

Solution: Taking all person of same nationality as one person, then we will have only three people.   These three person can be arranged themselves in 3! Ways.   8 Indians can be arranged themselves in 8! Way.   4 American can be arranged themselves in 4! Ways.   4 Englishman can be arranged themselves in 4! Ways.   Hence, required number of ways = 3!*8!*4!*4! Ways.   Option 3!*8!*4!*4! Ways
Answer: A
Find the number of ways in which 5 different beads can be arranged to form a necklace.  Select:
A) 30  B) 20  C) 12  D) 60  E) 80

Solution: Since in forming a necklace clockwise and anticlockwise arrangements are not different, therefore,5 beads can be arranged to form a necklace in(5-1)! /2ways   = 4*3*2/2= 
4*3*2/2 = 12
12 ways   Answer is 12
Answer: C
What is the difference between the local value of 7 and 5 in the number 2574?	Choose the correct choice from the following options: A) 430 B) 377 C) 288 D) 277 E) 112

Solution: Explanation:   500 â€“ 70 = 430   430nswer: 430
Answer: A
A teacher randomly selects 3 students to clean the classroom. There are 6 girl and 4 boy students in the class. What is the probability the teacher will select exactly 2 girls?  Choose one
A) 3/7
B) 7/11
C) 1/3
D) 2/5
E) 2/3

Solution: Combination Probability Formula: nCr = n!/[r!(n-r)!]   Total possible, select 3 students from 10 students = 10C3 = 10!/[3!(10 - 3)!] = 120.   To have 2 girls there must be 1 boy, select 1 boy from 4 = 4C1 = 4.   And, select 2 girls from 6 = 6C2 = 15.   2 girls and 1 boy = (4)(15) = 60   Probability = (number outcomes favorable)/(total number outcomes) = 60/120 = 2/3   Answer: 2/3
Answer: E
This year, MBB Consulting fired 6% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?	Choose the correct choice from the following answers:
A) 98.5%  B) 100.0%  C) 102.8%  D) 103.4%  E) 105.0%

Solution: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000   6% reduction in employees lead to 94 employees and a salary increase of 10% of previous avg salary   Thus the new avg salary is = 10%(1000)+1000 = 1100   so total salary of 94 employees is   94*1100= 
  94*1100 = 103_400
103400   Now the new salary is more than previous salary by x%. x= (103400/100000)*100= 
(103400/100000)*100 = 517/5 = around 103.4
103.4%   So the Answer is 103.4%
Answer: D