MU-NLPC/Calc-aqua_rat huggingface dataset:
Two electric trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Pick:	A) 10 sec	B) 30 sec	C) 40 sec	D) 20 s	E) 50 sec

Solution: D   Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 120 + 280= 
120 + 280 = 400
400 m.   The time required= d/s = 400/20= 
400/20 = 20
20 s.
Answer: D
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many V cubes are painted on only 2 faces?  Answers:
A) 12 B) 8 C) 6 D) 10 E) 16

Solution: 1) Draw a simple cube   2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.   3) Remember that the OUTSIDE of the cube is the part that's painted....   The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. V=4 + 4 + 4= 
4 + 4 + 4 = 12
12. 12nswer 12
Answer: A
2n boys are randomly divided into two sub-groups containing n boys each. Find the probability that two TOP RANK-HOLDER are in differed groups.	Select:
A) (n-1) / 2n
B) (n-1) / (2n-1)
C) n / (2n-1)
D) None of these
E) Cannot be determined

Solution: Explanation :   Without restriction   No. of ways to divide 2n boys into 2 equal groups having n boys each = 2nCn x nCn.   With restriction,   No. of ways to have two top ranks-holder in different group = 2n-2Cn-1 x n-1Cn-1 x 2!.   ( i.e separate two top rankers and then make two groups out of (2n - 2) boys.   The required probability   = Selections with restriction / Selections without restriction .   = (2n-2Cn-1 x n-1Cn-1 x 2! ) / (2nCn x nCn ).   = { (2n-2)! / [ (n-1)! x (n-1)! ] } x 2! / (2n! / ( n! x n! ) ) .   = (n-1) / 2n - 1.   Hence, the probability is (n-1) / (2n-1).   Answer : (n-1) / (2n-1)
Answer: B
Two brothers took the GMAT exam, the higher score is M and the lower one is N. If the difference between the two scores is equal to their average, what is the value of N/M ?
Choose the correct choice from the following choices.
A) 3  B) 2  C) 1/2  D) 1/3  E) There isn't enough data to answer the question.

Solution: M - N = (M + N)/2   Solving for N/M = 1/3   1/3
Answer: D
Find the average of all the numbers between 6 and 34 which are divisible by 5
Pick:  A) 45  B) 20  C) 25  D) 27  E) 22

Solution: Average = (10 + 15 + 20 + 25 + 30)/5   = 100/5= 
100/5 = 20
20.   Answer:20
Answer: B
In an animal behavior experiment, 50 tagged white pigeons and 200 tagged gray pigeons were released from a laboratory. Within one week, 90 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
Answers:	A) 80.5	B) 82.4	C) 82.5	D) 85	E) 86.5

Solution: Weighted mix method is best here....   Ratio is 1:4 for 90:80.5...   So the answer required = 80.5+ (90-80.5)*1/5=80.5+9.5*1/5   80.5+1.9= 
80.5+1.9 = 82.4
82.4   82.4
Answer: B
Rates for having a manuscript typed at a certain typing service are $10 per page for the first time a page is typed and $6 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?	Choose one:
A) $430
B) $1620
C) $1650
D) $1110
E) $1770

Solution: For 100-40-10= 
100-40-10 = 50
50 pages only cost is 10$ per page for the first time page is typed - 50*10=500$;   For 40 pages the cost is: first time 5$ + 6$ of the first revision - 40*(5+6)=440$;   For 10 pages the cost is: first time 5$ + 6$ of the first revision + 6$ of the second revision - 10(5+6+6)=170$;   Total: 500+440+170= 
500+440+170 = 1_110
1110$.   Answer: $1110.
Answer: D
Today is Saturday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Choose the correct choice from the following choices:
A) SUNDAY	B) MONDAY	C) TUESDAY	D) WEDNESDAY	E) FRIDAY

Solution: Today is saturday   after three days--->TUESWEDNESDAYAY   now, (tuesday)after before day--->MONWEDNESDAYAY   then, (monday)day after tomorrow--->WEWEDNESDAYNESWEDNESDAYAY   ANSWER:WEDNESDAY
Answer: D
The population of a bacteria colony doubles every day. If it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?  Choose the most appropriate option:
A) 512	B) 768	C) 256	D) 2048	E) 4096

Solution: 7 days ago- 2   6 days ago- 4   5 days ago- 8   4 days ago- 16   3 days ago- 32   2 days ago- 64   Yesterday- 128   Today- 256   Ans:256
Answer: C
From the below series find the remainder? 1201×1203×1205×1207 is divided by 6?  Select the correct option: A) 3 B) 4 C) 6 D) 7 E) 8

Solution: If you don't know the above rule, this problem is really calculation intensive.   But by applying the above rule, when 1201, 1201, 1203, 1204 divided by 6, leaves remainders 1, 3, 5, 1. The product of these remainders = 15.   When 15 is divided by 6, Remainder is 3   3
Answer: A
A shepherd had 17 sheep. All but nine died. How many was he left with ?
Options:	A) Nil	B) 8	C) 9	D) 10	E) 17

Solution: all but nine died means all except nine died..   ANSWER:9
Answer: C
If the probability Q of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period?
Choose the correct choice from the following options.
A) 8/125
B) 2/25
C) 5/16
D) 8/25
E) 3/4

Solution: 55/163 (1/2)^3(1/2)^2   = (5 * 4 * 3!)/2!3! * 1/32   Q= 5/16   Answer - 5/16
Answer: C
A coin is tossed live times. What is the probability that there is at the least one tail?	Choose the correct choice from the following answers:
A) 31/32  B) 31/36  C) 31/30  D) 31/32  E) 31/35

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T)   = 1 - 1/32   = 31/32   31/32nswer: 31/32
Answer: A
A three-character password consists of one letter of the alphabet and two different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Pick one
A) 4,680 B) 18,720 C) 26,000 D) 37,440 E) 52,000

Solution: 4 character password: DLD   First digit can be chosen in 10 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 9 ways.   This gives us 10*26*9 ways   Now, the letter can also be DDLD so there will be another 10*9*26 ways   Total = 10*26*9*2 = 4,680 ways   4,680
Answer: A
A man can row upstream at 4km/hr and down stream at 11km/hr find mans rate in still water ?
Pick.
A) 4.5km/hr B) 5.5km/hr C) 7.5km/hr D) 6.5km/hr E) 3.5km/hr

Solution: given upstream(u) =4km/hr   down stream (v)= 11km/hr rate in still water =1/2(u+v)=1/2(4+11)=7.5km/hr Answer is (7.5km/hr):7.5
Answer: C
For which of the following functions is f(w+b)=f(w)+f(b) for all positive numbers w and b? Choose the correct choice from the following answers:
A) a) f(x)=x^2
B) b) f(x)=x+1
C) c) f(x)=root x
D) d) f(x)=2/x
E) e) f(x)= -3x

Solution: f(w+b)=f(w)+f(b)= e) f(x)= -3x
Answer: E
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 65 years, that of the parents is 45 years and that of the grandchildren is 8 years. What is the average age of family?  Choices
A) 6/7years	B) B)31	C) C)30	D) D)33	E) E)35

Solution: Required average   = (65 x 2 + 45 x 2 + 8 x 3 )/(2 + 2 + 3)   = (130 + 90 + 24)/7   =244/7   = 34 6/7years.   6/7yearsnswer is 6/7years
Answer: A
The present ages of three persons are in proportions 4:7:9 Eight years ago ,the sum of their ages was 56.Find their present ages (in years)	Options
A) 8,20,28
B) 16,28,36
C) 20,35,45
D) None of these
E) Cannot be determined

Solution: Solution   Let their present ages be 4x,7x and 9x years respectively.   Then,(4x-8)+(7x -8)+ (9x-8)=56 ⇔ 20x =80 ⇔ x=4.   ∴ Their present ages are 16 years ,28 years and 36 year respectively. Answer 16,28,36
Answer: B
A certain college's enrollment at the beginning of 1992 was 40 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
Select the correct option
A) 63%  B) 24%  C) 50%  D) 55%  E) 61%

Solution: Suppose enrollment in 1991 was 100   Then enrollment in 1992 will be 140   And enrollment in 1993 will be 140*1.15= 
140*1.15 = 161
161   Increase in 1993 from 1991= 161-100= 
161-100 = 61
61   Answer : 61%
Answer: E
What is the remainder if 7^4 is divided by 100?	Pick one:  A) 5  B) 4  C) 1  D) 2  E) 10

Solution: 7*7*7*7/100=2401/100=24 reminder 1   Answer : 1
Answer: C
There are two concentric circles with radii 8 and 6. If the radius of the outer circle is increased by 25% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?
Answers:
A) 225 B) 250 C) 275 D) 300 E) 325

Solution: The area of a circle is piR^2, where R is the radius.   The area of the big circle is 64pi.   The area of the small circle is 36pi.   The area A1 between the circles is 28pi.   When the big circle's radius increases, the new area is 100pi.   When the small circle's radius decreases, the new area is 9pi.   The area A2 between the circles is 91pi.   The ratio of A2/A1 is  91/28= 
 91/28 = 13/4 = around 3.25
3.25 which is an increase of 225%.   The answer is 225.
Answer: A
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?  Choose the correct choice from the following options.
A) Rs.488	B) Rs.428	C) Rs.299	D) Rs.480	E) Rs.412

Solution: SP = 600   CP = (SP)*[100/(100+P)]   = 600 * [100/(100+25)]   = 600 * [100/125] = Rs.480   Answer: Rs.480
Answer: D
A garrison has provisions for 90 soldiers for 160 days. After 100 days 45 more soldiers will join the group. For how many more days will the provisions last?	Choose the correct choice:
A) 15 days	B) 30 days	C) 35 days	D) none of the above	E) Cannot be determined

Solution: Explanation :   Actually after 100 days,   If 90 members are there, provisions come for 60 more days (since total 160 days)   But now 135 members are there.   So number of days = (90/135) X 60 = 20 days.   Answer : none of the above
Answer: D
Three faces of a fair die are Yellow, two faces red and one blue.The die is tossed three
times. The probability that the colours, yellow, red and blue appear in the first, second and
third tosses respectively is Choose the correct choice.
A) 1/36	B) 1/18	C) 1/32	D) 1/37	E) None of these

Solution: Probability of getting yellow color = P(Y) = 3/6 = 1/2   Probability of getting red color = P(R) = 2/6 = 1/3   Probability of getting blue color = P(B) = 1/6   So, the probability that the colors yellow, red and blue appear in first, second and third toss respectively= P(Y ∩ R ∩ B) = P(Y) x P(R) x P(B) = 1/2 x 1/3 x 1/6 = 1/36   1/36NSWER:1/36
Answer: A
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg? Choose the correct choice.
A) Rs.2.9 B) Rs.2.1 C) Rs.2.5 D) Rs.2.2 E) Rs.2.7

Solution: Explanation:   100*(20/100)= 
100*(20/100) = 20
20 --- 10   ? --- 1=> Rs.2   100 --- 80   ? --- 2 => Rs.2.5   Answer: Rs.2.5
Answer: C
A certain lab experiments with white and brown mice only. In one experiment, 3/7 of the mice are white. If therare24 brown mice in the experiment, how many mice in total are in the experiment?	Choose the correct choice from the following answers:  A) 14  B) 16  C) 18  D) 12  E) 20

Solution: Let total number of mice = M   Number of white mice = 3/7 M   Number of brown mice = 4/3 M = 18   => M = 18   Answer 18
Answer: C
A right circular cylinder and a cone are there. Base radius of cone is equal to radius of cylinder. What is the ratio of height to slant side if their volume are the same?  Choose the correct choice from the following answers.
A) 1:3  B) 3:1  C) 1:2  D) 2:1  E) 1:4

Solution: 1/3 pi r^2 h1 = pi r^2 h2   h1/h2= 3/1= 
3/1 = 3
3:1   ANSWER:3:1
Answer: B
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 16000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Choices.
A) 22
B) 21
C) 35
D) 37
E) 29

Solution: Explanation:   Lot the total number of workers be v Then,   8OOOv = (16000 * 7) + 6000 (v - 7) <=> 2000v = 70000 <=> v = 35   Answer: 35) 35
Answer: C
A train 280 m long, running with a speed of 72 km/hr will pass a tree in? Choose the correct choice
A) 17 sec
B) 16 sec
C) 18 sec
D) 14 sec
E) 12 sec

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Time taken= 280 * 1/20= 
280 * 1/20 = 14
14 sec   Answer: 14 sec
Answer: D
Abinaya invested an amount of Rs. 12,500 at the rate of 12% p.a simple interest and another amount at the rate of 15% p.a. simple interest. The total interest earned at the end of one year on the total amount invested became 14% p.a. Find the total amount invested? Choose the correct answer.
A) 11850  B) 18500  C) 11180  D) 20,000  E) 11800

Solution: Let the second amount be Rs. x. Then,   (12500 * 12 * 1)/100 + (x * 15 * 1)/100 = [(12000 + x) * 14 * 1] / 100   15000+ 15x= 16800 + 14x   x = 1800   Total investment = 10000 + 1800= Rs. 11800 .Answer: 11800
Answer: E
The total circumference of two circles is 49. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?  Choices:
A) 7.8
B) 6.0
C) 6.7
D) 9.7
E) 18.0

Solution: Let r= Radius of smaller circle. Let R = Radius of larger circle   Therefore:   2πr + 2πR = 49   where 2r = R   Thus:   2πr + 4πr = 49   6πr = 49   r = approx 2.6   πR + 2Rπ = 49   3πR = 49   R = approx 5.2   r + R = approx 7.8   7.8nswer :7.8
Answer: A
Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 30, and 40 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?	Choose the correct option.
A) 4/11
B) 1/2
C) 15/22
D) 120/7
E) 11/4

Solution: P1 takes 12 hrs   Rate for P2P3 together = 1/30 + 1/40 = 7/120   Therefore they take 120/7   Ratio = 120/7 = 120/7
Answer: D
A total of Y tourists were transported by bus to a certain museum. If there were Z tourists on each bus, which of the following expresses the number of buses used?
Options
A) YZ  B) Y/Z  C) Z/Y  D) Y-Z  E) Z^2

Solution: IMHO (Y/Z)Y/Z as well !   Number of buses used = Total number of tourists / Number of tourists per bus => Y/Z   PS : In case of any doubt , plug in some numbers   Total number of tourists transported by bus = 500   Number of tourists per bus = 10   No of buses required = 500/10
Answer: B
A certain airline's fleet consisted of 80 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?	Choose the correct choice from the following:
A) 9	B) 10	C) 11	D) 12	E) 13

Solution: Let x be the number of years.   4x > 80 - 3x   7x > 80   x > 11 + 3/7   The answer is 12.
Answer: D
2. Seven movie addicts- Guna, Isha, Leela, Madhu, Rinku, Viji and Yamini attend a film festival. Three films are shown, one directed by Rajkumar Hirani ,one by S.Shankar,and one by Mani Ratnam. Each of the film buffs sees only one of the three films. The films are shown only once, one film at a time. The following restrictions must apply :- Exactly twice as many of the film buffs sees the S.shankar film as see the Rajkumar Hirani film.- Guna and Rinku do not see the same film as each other.- Isha and Madhu do not see same film as each other.- Viji and Yamini see the same film as each other.- Leela sees the S.Shankar film.- Guna sees either the Rajkumar Hirani film or the Mani Ratnam film.Which one of the following could be an accurate matching of the film buffs to films ?(A) Guna: the S.Shankar film; Isha: the Mani Ratnam film; Madhu: the S.Shankar film(B) Guna: the Mani Ratnam film; Isha: the Rajkumar Hirani film; Viji: the Rajkumar Hirani film(C) Isha : the S.Shankar film; Rinku: the Mani Ratnam film; Viji: the Rajkumar Hirani film(D) Madhu: the Mani Ratnam film; Rinku: the Mani Ratnam film; Viji: the Mani Ratnam film
Choose the correct choice from the following answers:
A) A
B) B
C) C
D) D
E) NONE

Solution: Explanation:   Guna × Rinku   Isha × Madhu   (Viji + Yamini)   Leela - Film: Shankar   Guna = RKH/Mani Ratnam   The following options are possible:   RKH	Shankar	Mani Ratnam   1	2	4   2	4	1   We will take options and check them.   Option A: Guna should not watch Shankar's Film. So ruled out   Option B:   RKH	Shankar	Mani Ratnam   Isha	_	Guna   Viji	_	_   Now Yamini also watch RKH. Which is not possible.   Option C:   RKH	Shankar	Mani Ratnam   Viji	Isha	Rinku   Yamini	Leela	_   As Guna should not be watching Shankar's movie she should watch Mani ratnam's which is not possible.   Option D:   RKH	Shankar	Mani Ratnam   Guna	Leela	Madhu   _	Isha	Rinku   _	_	Viji and Yamini   Answer:B
Answer: B
If xy is an integer, which of the following must also be an integer?
I. x/y
II. x
III. y/x  Choose the correct choice:
A) I alone
B) II alone
C) I and II
D) I and III
E) None of the above

Solution: Lets take X = 3 and Y = 7   Then XY = 21 which is an integer.   But X/Y = 3/7 --> Not an integer.   Y/X = 7/3 --> Not an integer.   X alone is 3. which is an integer.   Hence II alone.
Answer: B
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be	Pick
A) 45 min B) 60 min C) 55 min D) 70 min E) 80 min

Solution: Time = 50/60 hr = 5/6hr   Speed = 48mph   distance = S*T = 48 * 5/6= 
48 * 5/6 = 40
40km   time= 40/60hr = 2/3hr   New speed = 40* 3/2= 
40* 3/2 = 60
60kmph   Answer : 60 min.
Answer: B
If 7 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?	Choose the most appropriate option:
A) 3:2	B) 2:3	C) 3:3	D) 1:2	E) 6:1

Solution: 2:3   2:3   7M + 22:3 = 4(1M + 12:3)   7M + 22:3 = 4M + 42:3   3M = 22:3   The required ratio of work done by a man and a boy = 2:3
Answer: B
The speed of a boat in still water is 55kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?	Choose the most appropriate option.
A) kmph B) kmph C) kmph D) kmph E) kmph

Solution: Speed downstream = 55 + 20= 
55 + 20 = 75
75 kmph   Speed upstream= 55 - 20= 
55 - 20 = 35
35 kmph   Answer:kmph
Answer: B
A semicircle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn, meeting the circumference of the semicircle at D. Given that AC=2cm and CD=6cm, the area of the semicircle in square cm will be ?	Choose the most appropriate option.
A) 30pi
B) 40pi
C) 50pi
D) 60pi
E) 70pi

Solution: let O be center of circle and radius be x.   C can be anywhere on AB.Let us suppose that C is somewhere between A and O.   AC=2cm....so CO=(x-2)   DO=x,CD=6cm   CDO form a right angled triangle with right angle at C.   Using Pythagoras theorem,   x^2=6^2+(x-2)^2   4x=40   x=10cm   area=[pi(x)^2]/2   area=50pi   ANSWER:50pi
Answer: C
In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?	Choose the correct choice from the following answers:	A) A)12540	B) B)11450	C) C)11760	D) D)13250	E) E)12450

Solution: Required number of ways = 8117605*10117605 = 8117603*10117604 = 11760   Answer is 11760
Answer: C
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 768 as interest at the end of the loan period, what was the rate of interest?
Answers:
A) 3.6 B) 6 C) 8 D) Cannot be determined E) None of these

Solution: let rate = R% and time = R years   Then ( 1200 x R x R /100) = 768   => 12R2= 768   => R2= 64   => R= 8   Answer 8
Answer: C
Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking ?
Pick:
A) His son	B) His cousin	C) His uncle	D) His nephew	E) His Sister

Solution: Explanation:   Since Harsh has no brother or sister, so he is his father's only son. Now, wife of my father's son — my wife.   So, Harsh's wife is the man's mother or the man is Harsh's son.   His sonnswer: His son) His son
Answer: A
The rate of a certain chemical reaction is directly proportional to the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B present is increased by 100 percent, which of the following is closest to the percent change in the the concentration of chemical A required to keep the reaction rate unchanged.	Select the correct option:  A) 100 % decrease  B) 60% decrease  C) 30% decrease  D) 40% increase  E) 50% increase

Solution: Let's say here is the formula of how A and B affects the reaction speed:   rate = A/B   After the concentration B is increased by 100%, the percentage of B   become 2B, to keep 'rate' the same, need to have 2A being doubled.   Which means A increased by 100%.   100 % decreasenswer : 100 % decrease
Answer: A
In a friendship gang Mala has 5 gang, in how many ways can he invite one or more of the gang to his house?	Choose the most appropriate option.
A) 31	B) 12	C) 58	D) 74	E) 36

Solution: mala can select one or more than one of his 8 gang.   => Required number of ways = 2^5 – 1= 31.   31
Answer: A
A 12 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Choose one: A) 1/6 B) 2/3 C) 3/10 D) 1/3 E) 2/5

Solution: A square with an area of 4 has a perimeter of 8.   For the area to be >4, the longer piece must be >8.   The wire must be cut within 4 meters from either end.   The probability of this is 8/12 = 2/3.   The answer is 2/3.
Answer: B
A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?	Choose one: A) 22 B) 38 C) 19 D) 10 E) 28

Solution: Explanation:   30 * 25= 
30 * 25 = 750
750   425   -----------   325   25 + 7.50= 
25 + 7.50 = 32.5
32.5   325/32.5= 
325/32.5 = 10
10   Answer:10
Answer: D
In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.1, 9.0, 6.0, and 8.5, what was the point value of the dive?	Pick one:
A) 68.8  B) 73.6  C) 75.2  D) 77.12  E) 81.6

Solution: 77.12egree of difficulty of dive = 3.2   Scores are 6.0 , 7.5 , 8.1 , 8.5 and 9.0   We can drop 6.0 and 9.0   Sum of the remaining scores = (7.5+8.1+8.5)= 24   Point of value of the dive = 24.1*3.2= 
24.1*3.2 = 77.12
77.12   Answer 77.12
Answer: D