MU-NLPC/Calc-aqua_rat huggingface dataset:
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 30 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? Pick
A) A) 5.61
B) B) 8
C) C) 10
D) D) 15
E) E) 8.19

Solution: Old time in minutes to cross 9 miles stretch = 9*60/55 = 9*12/11 = 9.81   New time in minutes to cross 9 miles stretch = 9*60/30 = 9*2/1= 
9*2/1 = 18
18   Time difference= 8.19   Ans:8.19
Answer: E
Points M(7,2) and N(5,14) lie on the xy - plane. What is the midpoint of line segment MN?  Choose the correct option:
A) (5,0) B) (6,8) C) (0, (136^(1/2))/2) D) (3/2,0) E) (1,5)

Solution: The midpoint of a segment is exactly halfway between its endpoints and it's location can be found using the Midpoint Theorem, which states:   • The x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints.   • Likewise, the y-coordinate is the average of the y-coordinates of the endpoints.   So, x=(7+5)/2= 
(7+5)/2 = 6
6 and y=(2+14)/2= 
(2+14)/2 = 8
8 --> coordinates of the midpoint are (6, 8).   Answer: (6,8).
Answer: B
When x is multiplied by 3, the result is 26 more than the result of subtracting x from 62. What is the value of x? Select:
A) -4 B) -2 C) 11 D) 13 E) 22

Solution: The equation that can be formed is:   3x-26=62-x   or, 4x=88   or, x=22.   Answer : 22
Answer: E
What is remainder of the division (1425*1427*1429)/12? Select
A) 5 B) 0 C) 1 D) 2 E) 3

Solution: remainder will be number/ 100 here as the divisor is two digit number = 12.   hence checking for the last two digits = 5*7*9 = 15   Thus remainder = 3.   Answer : 3
Answer: E
Missing number in the series
4 9 20 43 90 185 376? Choose the correct choice from the following options:
A) 175	B) 185	C) 759	D) 195	E) 180

Solution: 4*2+1= 
4*2+1 = 9
9   9*2+2= 
9*2+2 = 20
20   20*2+3= 
20*2+3 = 43
43   43*2+4= 
43*2+4 = 90
90   90*2+5= 
90*2+5 = 185
185   185*2+6= 
185*2+6 = 376
376   376*2+7= 
376*2+7 = 759
759   ANSWER:759
Answer: C
The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 1024 feet squared, what is the difference between the length and the width of the roof?  Pick one.
A) 38. B) 40. C) 42. D) 48. E) 46.

Solution: Let the width= x   x*4x=1024   x^2= 256   x= 16   Length= 4*16= 
4*16 = 64
64   difference= 64-16= 
64-16 = 48
48   48. is the answer
Answer: D
At present the age of the father is 3 times that of the age of the son. Three years hence the father's age would be 2 times that of his son. Find the present age of the father? Choose the correct choice from the following answers:
A) 18years  B) 12years  C) 20years  D) 16years  E) 25years

Solution: 18yearsge of the son = (3-1)*3 / (3-2)= 
(3-1)*3 / (3-2) = 6
6 years   18yearsge of the father= 6*3= 
6*3 = 18
18 years   18yearsnswer is 18years
Answer: A
Pat and Cara begin running at the same time and they start at the same place on a straight path. Pat runs at 9 miles per hour, and Cara runs at 5 miles per hour. After 10 minutes, Pat stops to stretch. If it takes Pat 20 minutes to stretch and Cara continues to run during this time, how many minutes will it take Pat to catch up to Cara?	Answers.
A) 12
B) 15
C) 18
D) 21
E) 24

Solution: In 10 minutes, Pat runs 1.5 miles.   In 30 minutes, Cara runs 2.5 miles.   Pat can catch Cara at a rate of 4 miles per hour.   Since Cara is ahead by 1 mile, it will take Pat 1 / 4= 
1 / 4 = 1/4 = around 0.25
0.25 hours= 15 minutes to catch Cara.   the answer is 15.
Answer: B
Tomy's age 16 years hence will be thrice his age four years ago. Find Tomy's present age?  Pick:
A) 12 years B) 13 years C) 15 years D) 14 years E) 18 years

Solution: Let MTomy's present age be 'x' years.   x+ 16 = 3(x- 4)   => 2x = 28 => x = 14 years.   14 years
Answer: D
Suppose son name is 120,his brother name is 150 and his mother name is 190.find out his father's name???  Choose the correct choice from the following answers
A) 220  B) 210  C) 230  D) 240  E) 250

Solution: since difference between all name is =30   so father's name will be  190+30= 
 190+30 = 220
220.   220NSWER:220
Answer: A
A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?  Choose the correct choice from the following.
A) 19 kmph  B) 24 kmph  C) 17 kmph  D) 12 kmph  E) 16 kmph

Solution: Distance from A and B be 'd'   Average Speed = total distance/total time   Average Speed = (2d)/[(d/20) + (d/30)]   = (2d)/[5d/60) => 24 kmph.   Answer:24 kmph
Answer: B
Tommy has a lot of Lego blocks, but only green and red blocks. There are four times as many green blocks as there are red blocks. If Tommy has Y Lego blocks, how many red blocks are there, in terms of Y.
Answers.
A) 3*Y	B) Y/3	C) Y/5	D) Y/4	E) Y/6

Solution: Since Y equals the number of blocks, then Y = Green + Red   Since there are four times green blocks as red blocks, then Green = 4*Red   Thus Y = 4*Red + Red, which simplifies to Y=5*Red   Therefore the Red = Y/5   Answer: Y/5
Answer: C
Milk contains 5% water.What quantity of pure milk should be added to 10 litres of milk to reduce this to 2% ? Options
A) 5 litres  B) 7 litres  C) 15 litres  D) Cannot be determined  E) None of these

Solution: Here required quantity of pure milk = 10×(5−2)/2   = 10×3/2 = 15 litres.   Answer 15 litres
Answer: C
How many three letter words are formed using the letters of the word BREAK? Answers:
A) A)240  B) B)360  C) C)720  D) D)120  E) E)480

Solution: The number of letters in the given word is five.   The number of three letter words that can be formed using these four letters is 5P4   = 5 * 4 * 3*2= 
5 * 4 * 3*2 = 120
120.   Answer:120
Answer: D
According to the formula F=9/5 (C) +32, if the temperature in degrees Farenheit (F) increases by 26, by how much does the temperature in degrees Celsius (C) increase?
Select the correct option.
A) 9
B) 14.44
C) 47
D) 48 3/5
E) 59

Solution: You can plug in values.   C = 5/9*(F-32)   F=32 --> C=0;   F=32+26= 
32+26 = 58
58 --> C=5/9*26=14.44.   Increase = 14.44 degrees.   Answer: 14.44.
Answer: B
The center of a circle is (5, -2). (5, 7) is outside the circle, and (2, -2) is inside the circle. If the radius, r, is an
integer, how many possible values are there for r?	Select:
A) 4 B) 2 C) 2 D) 10 E) 12

Solution: r must be greater than 3 and smaller than 9, hence r=4,5,6,7 or 8.   4nswer 4
Answer: A
When 100 is divided by positive integer x, the remainder is 3. What is the remainder when 197 is divided by x?  Select:
A) 2  B) 3  C) 4  D) 6  E) 8

Solution: if100/x leaves a reminder 3 then (100-3) i.e. 97 is divisible by x   So (100+97)/x leaves a reminder rem(100/x)+rem(97/x)=> 3+0= 
3+0 = 3
3   Answer :3
Answer: B
The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
Choose the correct choice from the following answers:
A) 50  B) 60  C) 80  D) 100  E) 120

Solution: Let the price of tea and coffee be x per kg in June.   Price of tea in July = 1.2x   Price of coffee in July = 0.8x .   In July the price of 1/2 kg (500gm) of tea and 1/2 kg (500gm) of coffee (equal quantities) = 50   1.2x(1/2) + 0.8x(1/2) = 50   => x =50   Thus proved...option 50.
Answer: A
A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choose the correct choice from the following.
A) 200	B) 220	C) 240	D) 250	E) 270

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 38= 15   x + 300 = 570   x = 270 m.   Answer: Option 270
Answer: E
What two-digit number is less than the sum of the square of its digits by 13 and exceeds their doubled product by 5?  Select.
A) 95 B) 99 C) 26 D) 73 E) None of the Above

Solution: Let the digits be x and y. The number would be 10x + y.   We are given that 2xy + 5 = 10x +y = x^2 y^2 -13   Thus 2xy +5 = x^2 + y^2 - 13   x^2 + y^2 -2xy = 16   (x-y)^2 = 16   (x-y) = 4 or -4   Substituting the values of (x-y) in the equation 2xy +5 = 10x + y   x comes out to be 1 or 9... thus the two numbers can be 15 or 99   Thus the answer is 99
Answer: B
The length of the room is 4m and width is 5m. Find the cost of paving the floor by slabs at the rate of Rs.200 per sq meter?	Pick.
A) 1000  B) 2000  C) 4000  D) 3000  E) 6000

Solution: l=4m w=5m   area of the floor = 4 x 5 = 20 sq m   cost of paving = 200 x 20= Rs. 4000   Answer: 4000
Answer: C
Nina has exactly enough money to purchase 5 widgets. If the cost of each widget were reduced by $1.25, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?  Select the correct option.
A) $16.7	B) $24	C) $30	D) $36	E) $40

Solution: A its is.   Let price = X   (x-1.25)8 = 5X   X= 10/3   hence total money = 5*10/3= 16.7
Answer: A
At the beginning of the year, the ratio of boys to girls in high school X was 3 to 4. During the year, 10 boys and twice as many girls transferred to another high school, while no new students joined high school X. If, at the end of the year, the ratio of boys to girls was 4 to 5, how many boys were there in high school X at the beginning of the year?  Choose the correct choice from the following options:  A) 70  B) 120  C) 100  D) 90  E) 110

Solution: let the total number of boys and girls at the beginning of the year be 3x and 4x respectively.   now 10 boys and 20 girls are transferred to another school. thus no. of boys and girls students left in the school X are 3x-10 and 4x-20 respectively. the ratio of these boys and girls students = 4/5   thus we have (3x-10)/(4x-20) = 4/5   15x-50= 16x-80   x=30   thus total no. of boys at the beginning of the year =4(30)= 120   Answer is option 120
Answer: B
If |m+n|=|m-n|, then m*n must be equal to:
Choose one
A) -3
B) 0
C) -2
D) -4
E) -5

Solution: Solution 1: Distance perspective   |m-n| = |m+n| ==> The distance of m and n is equal to the distance of m and -n.   <=======(-n)=======0=======(n)======>   Only 0 is the value that has a distance equal to n and -n.   Solution 2:   |m-n| = |m+n| (square both)   m^2 -2mn + n^2 = m^2 + 2mn + n^2   4mn = 0   mn = 0   Answer: 0
Answer: B
City A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?  Options:
A) 56
B) 57.5
C) 58.9
D) 61.4
E) 62

Solution: The total distance is 1×50+3×60=2301×50+3×60=230. And the total time is 4 hours. Hence,   Average Speed=(Total DistanceTotal Time)=2304=57.5   57.5
Answer: B
In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Harold?	Choose the correct choice from the following choices
A) 1,008	B) 1,296	C) 1,512	D) 2,016	E) 2,268

Solution: We want A, B, and C to be before F, G and H.   Let's deal with this constraint first: consider A, B, and C as one unit {ABC} and F, G and H also as one unit {FGH}. According to the condition we need them to be arranged as {ABC}{FGH}. A, B, and C, within their unit can be arranged in 3! ways, similarly F, G and H , within their unit can also be arranged in 3! ways.   So, we have a line with 6 people XXXXXX. D can take any place in the line so D has 7 options: *X*X*X*X*X*X*.   Now, we have a line with 7 people and E can take any place there, so E has 8 options: *X*X*X*X*X*X*X*.   Total = 3!*3!*7*8 = 2,016.   Answer: 2,016.
Answer: D
In a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same five years ago. If the increase in the number of cheetahs in the zoo since then is 1, then what is the increase in the number of pandas?  Choose the correct choice from the following answers:
A) 2
B) 4
C) 5
D) 10
E) 3

Solution: One short cut to solve the problem is   c:p = 1:3   c increased to 2   => 1:3 = 2:x   => x = 6   =>p increased by 3   3 is the answer
Answer: E
In eight years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is seven years older than Ellen, how old is Aaron?
Choose one.
A) 1–5
B) 1.5–5
C) 11–15
D) 16–20
E) 21–25

Solution: Let David's present age be 'd', Aaron's present age be 'a' and Ellen's present age be 'e'   In ten years, David will be four times as old as Aaron --> d+8 = 4(a+8)   Twenty years ago, David was twice as old as Ellen --> d-16 = 2(e-16)   David is seven years older than Ellen --> d = e + 7   e+7-16 = 2e-32   e-9= 2e-32   e = 23   d = 30   38 = 4a + 32   a = 1.5   Answer: 1.5–5
Answer: B
If x+y=2z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z? Choose the correct choice from the following answers.
A) 2z+1  B) 3z  C) 5z  D) z  E) 3z/2

Solution: Pick any number like X=12, Y=10 and Z= 11 so that X+Y=2Z, now then the arithmetic mean will be   (12+10+11)/3= 
  (12+10+11)/3 = 11
11. Now, just look at the answers and put the value of Z there.   (A) 2.11+1=23, no.   (B) 3.11=33,no   (C) 5.11=55, no   (z) 11, it can be the answer, lets check us the other options   (E) (3.2)/2=3, no   so the answer will be z..
Answer: D
If the radius of a cylinder is made 3 times and height is doubled, what is the new volume of the cylinder divided by the old one?  Pick.
A) 18. B) 2. C) 6. D) 4. E) 10.

Solution: let v and v' be the original and the changed volume   now   v=pir^2h   v'=pi(3r)^2(2h)   v'=18v   18.) 18
Answer: A
In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is
Choose one:	A) 420	B) 520	C) 620	D) 720	E) 820

Solution: Explanation:   Let the boy are 8x and Girls are 5x   => 5x = 200   => x = 40   Total students = 8x+5x = 13x 8 +5= 
8 +5 = 13
13x= 13(40) = 520   Option 520
Answer: B
In an election, candidate Smith won 52% of the total vote in Counties A and S. He won 61% of the vote in County A. If the ratio of people who voted in County A to County S is 3:1, what percent of the vote did candidate Smith win in County S ?
Choose the most appropriate option:
A) A.25%  B) B.27%  C) C.34%  D) D.43%  E) E.49%

Solution: (61%)*3x + (y%)*x = (52%)*4x   y = 25% of County S   hence answer is A.25%.
Answer: A
The marks obtained by Polly and Sandy are in the ratio 3:5 and those obtained by Sandy and Willy are in the ratio of 3:2. The marks obtained by Polly and Willy are in the ratio of...?  Choose the correct choice
A) 3:4
B) 5:6
C) 7:8
D) 9:10
E) 11:12

Solution: Polly : Sandy = 3:5 = 9:15   Sandy : Willy = 3:2 = 15:10   Polly : Sandy : Willy = 9:15:10   Polly : Willy = 9:10   The answer is 9:10.
Answer: D
A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint W, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Choose the correct choice from the following.
A) 2  B) 2 1/2  C) 3  D) 3 1/2  E) 4

Solution: Given W:B = 3:5   That means say 3 gallons of white paint + 5 gallons of black paint = 8 gallons of paint mixture.   But we want least amount of whiteblack paints for minimum of 2 gallons of mixture, so lets reduce keeping same ratio,   1.5 : 2.5 gives  1.5 + 2.5= 
 1.5 + 2.5 = 4
4 gallons of mixture, but we want only 2 gallons, lets further reduce   0.75: 1.25 gives  1+1.5= 
 1+1.5 = 2.5
2.5 gallons of mixture. This looks ok, but lets reduce further just to be sure   0.375: 0.625 gives  0.5 + 1= 
 0.5 + 1 = 1.5
1.5 gallons of mixture, thats less than 2 gallons of mixture, so not acceptable.   So correct ans is 2.5 gallons. 2 1/2
Answer: B
If x^2 = 231, which of the following is closest to a potential value of x?  Choose the most appropriate option: A) -127 B) -11 C) 12 D) 13 E) 15

Solution: Here the thing we must not forget is that X^even has two potential solutions   => x =+- √231 => +- 15 (approx)   this value is closer to 15   Hence 15 is correct.
Answer: E
A fair 2 sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 5 times? Choose the correct choice from the following options.
A) 5/8	B) 3/4	C) 7/8	D) 57/64	E) 15/16

Solution: It would be easier to calculate the probability of opposite event and subtract it from 1.   Opposite event: 0 tail, 1 tail, 6 tails.   Probability of getting no tails: 1/2^6=1/64   Probability of getting 1 tail: 67/81∗1/2^6=6/64, we must multiply by 67/81 or by 6 as tail can occur for any flip from 6, hence in 6 ways;   Probability of getting 6 tails: 1/2^6=1/6^4   P=1−(1/64+6/64+1/64)=56/64=7/8   Answer: 7/8.
Answer: C
Each shelf of a bookcase contains 24 books. If the librarian took out 34 books and rearranged the remaining books so that all shelves but the last one contained 16 books and the last shelf contained 22 books, how many shelves does the bookcase have?	Choose one.
A) A)4	B) B)5	C) C)6	D) D)8	E) E)9

Solution: Denoting x the number of the shelves,   we can build an equation: 24x=16(x−1)+22+34   Solving the equation, we get x=5   Answer: 5
Answer: B
A 420 meter long train crosses a platform in 60 seconds while it crosses a signal pole in 30 seconds. What is the length of the platform?	Pick: A) 120 B) 840 C) 350 D) 420 E) 210

Solution: Speed = [420 / 30] m/sec =14 m/sec.   Let the length of the platform be x meters.   Then, x + 420/ 60 = 14   x + 420 = 840 è x = 420m. Answer: 420
Answer: D
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choose the correct choice from the following answers.
A) 18 2/81%  B) 18 2/11%  C) 18 3/11%  D) 18 1/11%  E) 18 2/15%

Solution: 13 CP = 11 SP   11 --- 2 CP   100 --- ? =>18 2/11%   Answer: 18 2/11%
Answer: B
"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years. Choose the correct option:
A) 47 years and 28 years.
B) 40 years and 24 years.
C) 48 years and 27 years.
D) 46 years and 26 years.
E) none of these

Solution: Let the present age of the man be ’a’ and son be ’b’,   Given, a + b = 64 or b = (64 - a)   Now the man says "I am five times as old as you were, when I was as old as you are",   So, a = 5[b - (a - b)]   We get 6a = 10b,   Substitute value for b,   6a = 10(64 - a),   Therefore a = 40, b = 24.   ANSWER:40 years and 24 years.
Answer: B
If 12% of x is equal to 6% of y, then 18% of x will be equal to how much % of y ?  Options:  A) 7%  B) 9%  C) 11%  D) 12%  E) none of these

Solution: We have ,   12% of X = 6% of Y   => 2% of X = 1% of Y   =>(2 x 9)% of X = ( 1 x 9)% of Y   Thus, 18% of X = 9% of Y.   ANSWER:9%
Answer: B
Train G and H, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train G left at 4 pm traveling at a speed of 60 miles per hour, and train H left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?  Choose the most appropriate option
A) 9.05Am  B) 9.11pm  C) 8.05pm  D) 7.05pm  E) 9.05pm

Solution: First, since G has a headstart then in that 1hr45min or 1.75hrs he travels 105 miles   Then remaining distance to be traveled will be   455 - 105= 
  455 - 105 = 350
350 miles   Now, using relative rates (105)(t)= 350   This gives 10/3 hours   Now 5.45pm + 10/3 hours gives us 9.05pm   Hence answer is 7.05pm
Answer: D
a milkman makes a profit of 20% on the sale of milk. If he were to add 10% water to the milk, by what % would his profit increase?  Pick one:
A) 50 %  B) 60 %  C) 70 %  D) 80 %  E) 40 %

Solution: let he sells 100 lit of milk @ 120 rs. means his cost price must b 100 to gain 20% profit.   Nw he adds 10% milk ie total milk z 110 lit.   Now he will get 132 rs. by selling 110 lit f milk (120*110/100)   total profit = 32 rs   increased profit =12 rs   %age increase= 12/20= 60 %   ANSWER:60 %
Answer: B
If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 48?  Choose the correct option:  A) 12  B) 18  C) 24  D) 30  E) 36

Solution: The greatest common divisor of n and 16 is 4 --> n is a multiple of 4 but not a multiple of 8.   The greatest common divisor of n and 15 is 3 --> n is a multiple of 3 but not a multiple of 5.   48=2*3*8 is divisible by 12. therefore the greatest common divisor is 12   12
Answer: A
Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 70, the three numbers in order are?  Choose the correct answer:
A) 60, 120, and 30  B) 60, 30, and 120  C) 30, 60, and 120  D) 30, 120, and 60  E) 120, 30, and 60

Solution: Let the numbers be 2x, x and 4x   (2x + x + 4x)/3 = 70   7x/3 = 70   x = 30   The numbers in order are 60, 30, and 120   The answer is 60, 30, and 120.
Answer: B
Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 40 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled? Pick
A) 6 B) 9 C) 10 D) 27 E) 48

Solution: If 3 Machines can do the work in 40 hr then 4 Machines can do the work in   3/4*40= 
  3/4*40 = 30
30 Hrs. hence time saved will be 10hr   option 10 is the correct answer
Answer: C
X and Y started a business by investing Rs.5000/- and Rs.15000/- respectively. Find the X’s share out of a total profit of Rs.1600:  Options:	A) 200	B) 250	C) 300	D) 350	E) 400

Solution: X = Rs.5000/-   Y = Rs.15000/-   X share 1 part & Y share 3 parts   Total 4 parts -----> Rs.1600/-   ----> 1 part -------> Rs.400/-   X share = 1 part -----> Rs.400/-   400
Answer: E
In how many ways letters of the word RSCUPERATE be arranged?	Choose the correct choice from the following:
A) 357687
B) 247886
C) 284757
D) 456788
E) 302400

Solution: RESUPERATE has 10 letters, out of which E repeated 3 times, R repeated 2 times. Hence total ways = 10! / (3!*2!) = 302400 ways   302400
Answer: E
A and B complete a work in 16 days. A alone can do it in 40 days. If both together can do the work in how many days?
Choose the correct choice from the following options.
A) 1.0875 days B) 0.1875 days C) 0.0675 days D) 0.0875 days E) 0.0775 days

Solution: 1/16 + 1/40= 
1/16 + 1/40 = 7/80 = around 0.0875
0.0875 days   ANSWER:0.0875 days
Answer: D
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If25 were to be added to each score, which of these three statistics would change? Select the correct option.
A) The mean only  B) The mean and the median  C) The standard deviation only  D) The median only  E) The mean and the standard deviation

Solution: The correct answer is The mean and the median.
Answer: B
In how many ways can 5 boys and 2 ladiesbe arranged at a table if 2 ladies are never together? Options.
A) 245
B) 278
C) 390
D) 420
E) 480

Solution: Total ways of arranging 7 person in a circle = 6! = 720 ways   If we consider two women as one, then we have   5+1= 
  5+1 = 6
6 persons. Arranging these six persons in circle will take= 5! = 120 ways   And two women can arrange themselves in 2! ways   Total ways in which two women sit together in circle = 5!*2! = 240 ways   Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240= 
720 - 240 = 480
480 ways   480
Answer: E