MU-NLPC/Calc-aqua_rat huggingface dataset:
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = e is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-e, -k), then what are the coordinates of the point P?  Choose the correct choice from the following answers:	A) (-5e, -5k)	B) (-3e, -3k)	C) (2e, 2k)	D) (3e, 3k)	E) (5e, 5k)

Solution: firstly the Question tells us that RQ and PQ are perpendicular at Q..   Now the coordinates of the point R are (-e, -k), so R is at a distance of 2e from line x and at dist of 2k from line Y..   as line X bisect RQ .... length of RQ =4e and coord (3e,-k)..   as line Y bisect PQ .... length of PQ =4k and coord (3e,3k).ans (3e, 3k)
Answer: D
In Town X, 64 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town X are females?  Options
A) 16%
B) 25%
C) 32%
D) 40%
E) 34%

Solution: We are asked to find the percentage of females in employed people.   Total employed people 64%, out of which 42 are employed males, hence 22% are employed females.   (employed females)/(total employed people)=22/64=1/4=34%   Answer: 34%.
Answer: E
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 72 km downstream? Choose the correct answer:  A) 30/16 hours  B) 36/13 hours  C) 30/73 hours  D) 30/13 hours  E) 50/13 hours

Solution: Speed downstream = 20 + 6= 
20 + 6 = 26
26 kmph.   Time required to cover 60 km downstream= d/s = 72/26   = 36/13 hours.   Answer:36/13 hours
Answer: B
The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 70 on the exam is in what percentile of the school?
Choices	Answers:
A) 63rd percentile
B) 68th percentile
C) 84th percentile
D) 96th percentile
E) 98th percentile

Solution: (78-65)/6.5= 
(78-65)/6.5 = 2
2 sigmas or 95.5th percentile for +-2 sigma but in our case we need only upper tail, so it's 100 - (100 - 95.5)/2= 63th percentile   63rd percentile
Answer: A
David, a painter, has 9 jars of paint: 4 are black, 2 are yellow, and the rest are brown. David will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no black paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of black paint 4) J2, if the paint contains exactly 1 jar of black paint What is the probability that the new colour will be a shade of J (J1 or J2)?
Choose one.
A) 42/37
B) 21/37
C) 37/42
D) 18/37
E) 8/37

Solution: the probability that it would be J1 or J2 is same as 1-()probability that it is 37/421 or 37/422   For 37/421-337/422(Brown)*237/421(Yellow)=3*2= 
3*2 = 6
6   For 37/422-337/423(all brown)=1   Total=937/423=84   1-7/84=77/84= 37/42   Answer : 37/42
Answer: C
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is	Options:
A) 4.04%  B) 4.34%  C) 4.45%  D) 4.64%  E) 4.70%

Solution: 100 cm is read as 102 cm.   A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.   (A2 - A1) = [(102)2 - (100)2]   = (102 + 100) x (102 - 100)   = 404 cm2.   Percentage error = 404 x 100 % = 4.04%   100 x 100   4.04%)
Answer: A
If the quantity 4^2+ 4^4 + 4^8 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?	Select.
A) 16	B) 14	C) 15	D) 21	E) 22

Solution: (a+b)(a-b) = a^2 - b^2   4^2+ 4^4 + 4^6 = 4^2 (1+4^2+4^6)   if the above expression is solved even then every term of the expression will remain a multiple of 4^2 which is out of parenthesis   hence, b must be a multiple of 4^2 i.e. 16   16nswer: option 16
Answer: A
lexus car agency has 135 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is?	Options
A) 36	B) 37	C) 38	D) 39	E) 40

Solution: ratio of 36% profit cars to 9% profit cars = 8:19   so no. of cars sold at 36% profit = 135*8/27= 
135*8/27 = 40
40 cars   ANSW40R:40
Answer: E
What is the greatest integer that will always evenly divide the sum of five consecutive integers?
Select:  A) 2  B) 3  C) 4  D) 6  E) 5

Solution: Let the three consecutive even integers be x , x + 5 , x+10 , x+15, x+20   Sum = x + x + 5 + x + 10 + x + 15 + x + 20   = 5x+50 = 5(x+10)   Therefore , 5 will always be a factor .   Answer 5
Answer: E
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ?  Choose the correct answer:
A) 100 π B) 101/π C) 99 π/12 D) 54/13π E) 22/10π

Solution: Explanation:   4/3 π x 10 x 10 x 10 = 8 x 4/3 π rxrxr   r = 5   4π x 5 x 5 = 100π   100 πNSWER IS 100 π
Answer: A
Robin is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of RICE , 3 morsels of white, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?  Choose the most appropriate option.
A) rye − wheat − wheat B) RY-R-R C) white − rye − wheat D) white − white − white E) white − white − rye

Solution: Q is nothing BUT asking about remainder..   total morsels thrown before the pattern is repeated = 2+3+1 = 6..   so REMAINDER when 2000 is div by 6..   1998 is EVEN and also div by 3, so remainder is 2..   Last 3 of morsels are 1998-1999-2000   so he uses the last of morsel of pattern in 1998 two of the first morsels of the pattern in 1999 and 2000, and the pattern is R, R, W, W, W, RY..   ans RY-R-R   RY-R-R
Answer: B
A train 125 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Answers:
A) 51
B) 50
C) 88
D) 65
E) 22

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr   = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 6) km/hr. x - 6 = 45 ==> x   = 51 km/hr.   51nswer:51
Answer: A
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? Answers:
A) 67	B) 88	C) 18	D) 26	E) 12

Solution: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/12   => 1/x = 1/6 - 1/12 = (3 - 2)/12 = 1/12   => x = 12. Answer:12
Answer: E
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 45% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
Choose the most appropriate option:
A) 36%  B) 79.75%  C) 80%  D) 82%  E) 84%

Solution: Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.45*0.45 = 0.2025. So, the probability that he will be able to attend is 1 - 0.2025 = 0.7975.   Answer: 79.75%.
Answer: B
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/7 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?  Choose the correct choice from the following answers:
A) 0	B) 1/14	C) 2/15	D) 1/10	E) 2/10

Solution: Suppose the water in each jug is L liters   CX x (1/7) = L   CX = 7L liters   CX is capacity of X   CY x (2/3) = L   CY = 3L/2 liters   CY is capacity of Y   Now, Y is 3L/2 - L empty = L/2 empty   So, we can put only L/2 water in jug Y from Jug X   Jug X's remaining water = L - L/2 = L/2   Fraction of X which contains water = water / CX   = (L/2)/ 7L   = 1/14   Answer will be 1/14
Answer: B
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 88 Θ 33 ) Θ 17 ) - ( 90 Θ (33 Θ 17)) ?
Options
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: (( 88 Θ 33 ) Θ 17 )   The remainder of 88 divided by 33 is 22;   The remainder of 22 divided by 17 is 5;   ( 98 Θ (33 Θ 17))   The remainder of 33 divided by 17 is 16;   The remainder of 98 divided by 16 is 2.   5 - 2= 
5 - 2 = 3
3.   Answer: 3.
Answer: D
Mohit sold an article for Rs. 18000. Had he offered a discount of 16% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?	Choose the correct choice from the following:
A) 14000  B) 27767  C) 16688  D) 26678  E) 19987

Solution: Let the CP be Rs. x.   Had he offered 16% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 16/100(18000) = Rs. 15120   => 1.08x = 15120   => x = 14000   \14000nswer: 14000
Answer: A
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?	Choose the most appropriate option:
A) 1:96	B) 1:94	C) 1:98	D) 1:93	E) 1:91

Solution: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.   (4x)(3x) = 6912   12x2 = 6912   x2 = 576 = 4 * 144 = 22 * 122 (x > 0)   => x = 2 * 12= 
2 * 12 = 24
24   Ratio of the breadth and the areas= 3x : 12x2 = 1 : 4x = 1:96.   1:96nswer: 1:96
Answer: A
If x=-4, which of the following is(are) true? I. x^2=-|x| II x/-4 = 1 III |x|=x
Choose the correct option:
A) I only
B) III only
C) II only
D) I,II only
E) II,III only

Solution: -4/-4= 
-4/-4 = 1
1   Answer : II only
Answer: C
A company that ships boxes to a total of 13 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (assume that the order of the colors in a pair does not matter)  Select:
A) 6
B) 5
C) 8
D) 9
E) 10

Solution: Back-solving is the best way to solve this problem.   You basically need 13 combinations (including single colors)   If we start from option 1->   1=> 4C2 + 4 = 10 (Not enough)   2=> 5C2 + 5 = 15 (Enough)   Since the minimum number is asked. It should be 5.   Answer - 5
Answer: B
A man can row 9km/hrin still water. it takes him twice as long to row upas to row down the river find the rate of the stream Rate of the current ? Answers:
A) 2km/hr B) 63.8km/hr C) 8.9km/hr D) 9.6km/hr E) 7.9km/hr

Solution: Lets man's rate in upstream =xkm/hr.   man's rate down stream =2xkm/hr. man's rate in still water =1/2(x+2x)km/hr ==>3x/2=6==>x=4 The rate upstream=4km/hr . The rate down stream=8km/hr. Rate of the current=1/2(8-4)km/hr=2km/hr   2km/hrnswer is (2km/hr)
Answer: A
There are 30 balls which are red, blue or green. If 11 balls are green and the sum of red balls and green balls is less than 25, at most how many red balls are there?	Answers: A) 14 B) 13 C) 16 D) 17 E) 8

Solution: r+g+b=30   g=11   r + g < 25   => r + 11 < 25   => r < 14   => at most 13 red balls   ANSWER:13
Answer: B
X starts a business with Rs.45000. Y joins in the business after 8 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?	Choose the correct choice from the following.
A) 1:2 B) 9:2 C) 1:3 D) 3:1 E) 1:1

Solution: Explanation:   Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   =45000Ã—12:30000Ã—4   =45Ã—12:30Ã—4   =3Ã—12:2Ã—4   =9:2   Answer: Option 9:2
Answer: B
Clarissa is driving home from work, 110 miles away. After driving 5 miles, she gets a flat tire. The replacement tire can't handle speeds above 35 miles per hour. How long will she have to drive, in hours, on the replacement before she arrives home?	Pick:  A) 1  B) 2  C) 3  D) 4  E) 5

Solution: She has to travel 110 - 5= 
110 - 5 = 105
105 miles at 35 miles per hour   105 / 35= 
105 / 35 = 3
3 hours.   3orrect answer 3
Answer: C
Gold is 19 times as heavy as water and copper is 9 times heavy. In what ratio must these metals be mixed so that the mixture may be 15 times as heavy as water?	Pick one.
A) 2 : 3 B) 3 : 2 C) 1 : 3 D) 2 : 1 E) None of these

Solution: ? Required ratio = 6?4 = 3 : 2   Answer 3 : 2
Answer: B
Convert the 13/36 m/s into kilometers per hour? Choose the correct choice from the following choices:	A) 1.5	B) 1.9	C) 1.3	D) 1.6	E) 1.1

Solution: 13/36 m/s = 13/36 * 18/5 = 13/10= 
13/10 = 13/10 = around 1.3
1.3 kmph.   Answer: 1.3
Answer: C
A can do a piece of work in 40 days; B can do the same in 40 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in? Choose the correct option.
A) 20 days B) 65 days C) 86 days D) 45 days E) 17 days

Solution: 10/40 + 10/40 + 10/x = 1   x = 20 days   20 daysnswer:20 days
Answer: A
A train 200 m long passed a pole in 18 sec. How long will it take to pass a platform 600 m long? Choose the most appropriate option: A) 12 sec B) 73 sec C) 74 sec D) 21 sec E) 46 sec

Solution: Speed = 200/18   = 11 m/sec.   Required time = (200 + 600)/11   = 72.7 sec.   Answer: 73 sec
Answer: B
Find the cost price of an item if by selling at Rs.720, a profit of 13% is made? Pick
A) Rs.616 B) Rs.726 C) Rs.326 D) Rs.926 E) Rs.626

Solution: SP = 720   CP = (SP)*[100/(100+P)]   = 720 * [100/(100+13)]   = Rs.626   Answer: Rs.626
Answer: E
Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?	Choose the correct choice from the following.
A) 15  B) 20  C) 25  D) 35  E) 30

Solution: x : the total number of toys   x/10 : the number of toys for first child   x/10 + 12 : the number of toys for second child   x/10 + 1 : the number of toys for the third child   2(x/10 + 1) : the number of toys for the fourth child   x/10 + x/10 + 12 + x/10 + 1 + 2(x/10 + 1) = x   x = 30 toys.   Answer is 30.
Answer: E
What is the difference between local value & face value of 5 in the numeral 65793?	Select
A) 4455 B) 4955 C) 4995 D) 4890 E) 10000

Solution: (Local value of 5) - (Face value of 5)   = (5000 - 5)= 
(5000 - 5) = 4_995
4995   4995
Answer: C
Mangala completes a piece of work in 15 days, Raju completes the same work in 45 days. If both of them work together, then the number of days required to complete the work is?
Choose the correct option.
A) 8 days  B) 10 days  C) 11 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 = 15 × 45 /60 = 11 days   11 days)
Answer: C
If a function f is defined by f(x)= (1-x)/x for all non zero numbers x. If f(a) = 1 and f(a/b) = 3 then b= ?  Options
A) 3	B) 1/3	C) 2	D) 1/2	E) -2

Solution: Given that f(x)= (1-x)/x and f(a) = 1, then f(a) =(1-a)/a=1 ===> a=1/2, then backsolve using the answer choices:   f(a/b) = f(1/2b) = 3   A) 3 ===> f(1/2*3) = f(1/6) = 5   B) 1/3 ===> f((1/2)/(1/3)) = f(3/2) = (-1/2)/(3/2) = -1/3   2) 2 ===> f(1/2*2) = f(1/4) =3 WINS   D) 1/2 ===> f((1/2)/(1/2)) = f(1) = 0   E) -2 ===> f((1/2)/-2) = f(-1/4) = (5/4)/(-1/4) = -5   Answer: 2
Answer: C
A thief is noticed by a policeman from a distance of 290 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?	Choose the correct choice from the following answers
A) 100  B) 190  C) 2987  D) 278  E) 271

Solution: Relative speed of the thief and policeman = 11 - 10= 
11 - 10 = 1
1 km/hr.   Distance covered in 6 minutes= 1/60 * 6 = 1/10 km = 100 m.   Distance between the thief and policeman = 290 - 100= 
290 - 100 = 190
190 m.   Answer: 190
Answer: B
Compound interest of Rs.3000 at 10% per annum for 1 l/2years will be (interest compounded half yearly). Options
A) Rs.473
B) Rs.374
C) Rs.495
D) Rs.347
E) None of the above

Solution: 10% interest per annum will be 5% interest half yearly for 3 terms( 1 1/2 years)   So compound interest=3000[1+(5/100)]^3 - 3000=3000[(21/20)^3 -1]   =3000(9261-8000)/8000   =3*1261/8   =472.8 ~ 473   Rs.473NSWER:Rs.473
Answer: A
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?  Options:
A) 10 kmph  B) 67 kmph  C) 22 kmph  D) 88 kmph  E) 15 kmph

Solution: Speed of the boat in still water   = (50+80)/2= 
(50+80)/2 = 65
65 kmph. Speed of the stream= (80-50)/2= 
(80-50)/2 = 15
15 kmph.   Answer:15 kmph
Answer: E
The compound interest earned on a sum for the second and the third years are $1200 and $1272 respectively. What is the rate of interest? Answers
A) 4%
B) 6%
C) 8%
D) 10%
E) 12%

Solution: 1272 - 1200= 
1272 - 1200 = 72
72 is the rate of interest on $1200 for one year.   The rate of interest= (100 * 72) / (1200)= 
(100 * 72) / (1200) = 6
6%   The answer is 6%.
Answer: B
My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed?	Options:
A) 6: 40 AM  B) 1: 90 AM  C) 5: 50 AM  D) 2: 40 AM  E) 6: 20 AM

Solution: Remember, while moving from east to west countries lag in time. Remember when Test cricket starts in England? 3. 30 in afternoon. Right? ie., We are in after noon means they are in morning.   If the coordinates change from 10 E to 70W, the plane has moved a total of 80 degrees. We know that with each degree time increases by 4 minutes while going from east to west. (How? 24 x 60 min / 360 degrees, So 1 degree = 4 min)   So total time change = 4 x 80 = 320 min = 5 hrs + 20 minutes.   After 10 hours local time is (2 am + 10 - 5.20 hrs) = 6.40 AM.   6: 40 AMnswer:6: 40 AM
Answer: A
If n is the smallest integer such that 144 times n is the square of an integer, what is the value of n?
Choose the correct choice from the following answers
A) 2 B) 3 C) 6 D) 12 E) 24

Solution: 144 can written as = 2 * 2 * 2 * 2 * 3 * 3 --> 2^4 * 3^2 ---(1)   so for 144 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of.   here 2 already has even power -> So n has to be 3 to make the power of 2 in (1) even   Option 2 is correct
Answer: A
In a certain store, the profit is 300% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choose the correct choice from the following choices:
A) 65% B) 66.7% C) 68.75% D) 70% E) 71.2%

Solution: Let C.P.= Rs. 100. Then, Profit = Rs. 300, S.P. = Rs. 400.   New C.P. = 125% of Rs. 100 = Rs. 125   New S.P. = Rs. 400.   Profit = Rs. (400 - 125) = Rs. 275.   Required % =(275/400)x100 %   = 68.75%   ANSWER :68.75%
Answer: C
If ‘MADRAS’ is coded as ‘DADIAA’, then ‘HARYANA’ is coded as Choose the correct choice from the following options: A) HRAAYNA B) HAIGAEA C) GARYNDA D) GARYNDB E) None

Solution: M=13,1+3=4=D   A=1=A   SIMILARLY,   H=8=H   A=1=A   R=18=1+8= 
1+8 = 9
9=I   SO ANS IS   HAIGAEA   ANSWER:HAIGAEA
Answer: B
Place a mathematical symbol between the numerals 5 and 9 in such a way that the resulting number is greater than 5 but smaller than 9.	Pick:
A) 5.9
B) 7.8
C) 5.5
D) 8.1
E) 6.3

Solution: 5.9   If we place a decimal between the numbers it will become 5.9 which is what we needed.
Answer: A
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If q of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?  Choices
A) y/R
B) y/(R-x)
C) xy/(R-x)
D) qy/(R(R-q))
E) y/(R(R-x))

Solution: y/(R-q)- y/R   if we simplify this we get choice qy/(R(R-q)), which is the correct answer.
Answer: D
Raj writes a number. He sees that the number of two digits exceeds four times the sum of its digit by 3. If the number is increased by 18, the result is the same as the number formed by reversing the digit. Find the number
Pick.
A) 3
B) 5
C) 6
D) 7
E) 87

Solution: Ans: A   Going by the options, 35 = 8(4) + 3.   3nswer:3
Answer: A
Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss.
Choose the correct choice from the following choices: A) 75 B) 65 C) 45 D) 25 E) 85

Solution: Explanation:   Let the origianl salary = Rs. 100   It will be 150% of (50% of 100)   = (150/100) * (50/100) * 100= 
(150/100) * (50/100) * 100 = 75
75   So New salary is 75, It means his loss is 25%   Option 25
Answer: D
Two pipes A and B can separately fill a tank in 10 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choose the correct choice:
A) 6min  B) 9min  C) 7min  D) 8min  E) 10min

Solution: 4/10 + x/15 = 1   x = 9   ANSWER:9min
Answer: B
one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 40 workers in the Palabras bookstore, how many of them have read both books?	Choose the correct option:	A) 3	B) 2	C) 9	D) 8	E) 7

Solution: There are total 40 workers.   one-fourth of the workers in Palabras bookstore have read the latest book by J. Saramago,   So 10 have read Saramago.   5/8 of the workers have read the latest book by H. Kureishi.   So (5/8) * 40= 
(5/8) * 40 = 25
25 have read Kureishi   The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book   If B workers have read both books, 20 - B have read Saramago but not Kureishi.   So, (10 - B - 1) have read neither.   Total= n(A) + n(2) - 2oth + Neither   40 = 10 + 25 - 2 + (10 - 2 - 1)   2 = 2   Answer (2)
Answer: B
A group of men decided to do a work in 20 days, but 8 of them became absent. If the rest of the group did the work in 28 days, Find the original number of men?
Choose the correct choice:
A) 60
B) 28
C) 40
D) 50
E) 25

Solution: Original number of men = 8*28 / (28-20)= 
8*28 / (28-20) = 28
28   Answer is 28
Answer: B
A group of boy scouts and girls scouts is going on a rafting trip. 70% of the scouts arrived with signed permission slips. If 60% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent.
Choose the correct choice from the following answers.
A) 50%	B) 60%	C) 63%	D) 66%	E) 70%

Solution: 60% were boy scouts so 40% (100-60=40) were girl scouts.   # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed   (75% of 60% of the total going) + (?% of 40% of the total going) = 70% of the total going   We can let the "total going" = 1,000 arbitrarily since we only care about the percent (of girl scouts w/ permission signed)   .75*.60*1,000 + x*.40*1,000 = .70*1,000   450 + x*400 = 700   400x=250   x=250/400= 
250/400 = 5/8 = around 0.625
.625   Converting this to a percent, we have 62.5%. Rounding, we have 63%.   63%
Answer: C