MU-NLPC/Calc-aqua_rat huggingface dataset:
total 48 matches are conducted in Knockout match type. How many players will be participated in that tournament? Choose one:
A) 48
B) 47
C) 40
D) 42
E) 47

Solution: 47 players   ANSW47R:47
Answer: E
A will was written such that an estate would be divided among five beneficiaries with the remainder donated to charity. One stipulation in the will is that no one beneficiary can receive an amount within 10% of another's amount. If one of the beneficiaries received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five beneficiaries?
Choose the correct choice from the following answers:  A) $3996  B) $3395  C) $2892  D) $3736  E) $23436

Solution: 1st - 10,000.   2nd - 0.9*10,000 = 9000   3rd - 0.9*9,000 = 8,100   4th - 0.9*8,100 = ~7,290   5th - 0.9*7,290 = ~6,561   Range = 10,000 - 6,561 = 3,439.   Answer: $3395.
Answer: B
Find the average of all prime numbers between 30 and 50?
Answers.
A) 39.8  B) 31.2  C) 12.4  D) 17.9  E) 20.9

Solution: there are five prime numbers between 30 and 50.   They are 31,37,41,43 and 47.   Therefore the required average=(31+37+41+43+47)/5 =199/5 =39.8.   Option 39.8
Answer: A
A train 60 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Select the correct option:	A) 7	B) 6	C) 8	D) 2	E) 3

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 60 * 3/55   = 3 sec.   Answer 3
Answer: E
a pizza which is thin is cut into 'x' pieces by 4 straight lines then the lowest possible value of x is?  Select
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: 4 parallel lines will give minimum number of pieces.   5 pieces.   ANSWER:5
Answer: C
A one-foot stick is marked in 1/3 and 1/5 portion. How many total markings will there be, including the end points?
Pick one
A) 10
B) 7
C) 6
D) 5
E) 8

Solution: LCM of 15 = 15   1/3 marking are (Table of 5) 0...... 5 ......10..... 15   (Total = 4)   1/5 marking are (Table of 3) 0 ....... 3 ...... 6...... 9........ 12......15 (Total = 6)   Overlapping markings are 0 ........ 15 (Total = 2)   Total markings = 4+6-2= 
4+6-2 = 8
8   Answer= 8
Answer: E
A person takes 5hrs 45 min in walking to a place and riding back. He would have gained 3hrs by riding both ways. The time he would take to walk both ways is?
Choose the most appropriate option
A) 5 hours 45 min B) 5 hours 55 min C) 6 hours 45 min D) 8 hours 45 min E) 9 hours

Solution: ----------------------------------------------------------------   Solution 1   ----------------------------------------------------------------   Given that time taken for riding both ways will be 3 hours lesser than   the time needed for waking one way and riding back   From this, we can understand that   time needed for riding one way = time needed for waking one way - 3 hours   Given that time taken in walking one way and riding back = 5 hours 45 min   Hence The time he would take to walk both ways = 5 hours 45 min + 3 hours = 8 hours 45 min   8 hours 45 min
Answer: D
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Answers
A) 1261	B) 1228	C) 2773	D) 288	E) 2774

Solution: 1261 = 8000(21/20)3   = 9261   = 8000   ---------   1261.1261nswer: 1261
Answer: A
A survey was sent to 70 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?	Pick one:	A) 2%	B) 6%	C) 4%	D) 28%	E) 63%

Solution: case 1: (7/70)=x/100   x=10%   case 2: (9/63)=y/100   y=14%   So percent increase is =(y-x)=(14-10)= 
(14-10) = 4
4%   Answer is 4%
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good. Choose the most appropriate option
A) 125/167	B) 125/186	C) 125/126	D) 125/186	E) 125/128

Solution: Required probability   = 1 - 1/126   = 125/126   Answer: 125/126
Answer: C
S is a set containing 8 different positive odd primes. T is a set containing 7 different numbers, all of which are members of S. Which of the following statements CANNOT be true?	Choose the correct answer.
A) The median of S is prime.	B) The median of T is prime	C) The median of S is equal to the median of T.	D) The sum of the terms in S is prime.	E) The sum of the terms in T is prime.

Solution: Here is my explanation. The question states:S is a set containing 9 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?   (A) The median of S is prime.   Thismust be true. If there are an odd number of members of a set, then the median is a member of the set: it's the middle number, when all the numbers are ranked from smallest to biggest. Every number in S is a positive odd prime, so the median is one of them, and is prime.   (B) The median of T is prime.   Thismay or may not be true. If a set has an even number of members, the median is average of the two numbers in the middle, when ranked from smallest to biggest. The average of two odd numberscould beeven (average of 71 and 73 is 72), and hence not prime, or itcould beodd (the average of 71 and 79 is 75). For particularly well chosen odd numbers, the average can be not only odd but also prime -- for example, the average of 89 and 113 is 101, another prime number. If the two middle numbers of T were 89 and 113, the median would be 101, a prime number.   (C) The median of S is equal to the median of T.   Under most configurations for S and T, this wouldn't happen. If you weren't trying to make it happen, it would be unlikely to happen by chance. BUT, if the number dropped going from from S to T was the median of S (say, 101), and if the two middle numbers of T happen to have an average of that number that was dropped (for example, if the two numbers were 89 and 113), then the medians would be equal. In other words, the three middle numbers of S would have to be {. . ., 89, 101, 133, . . .}, and when 101 is dropped in going to T, the median of two would be the average of 89113, which happens to be 101. It's an exceptional case, but itcouldbe true.   (D) The sum of the terms in S is prime.   Thismay or may not be true. The sum of 9 odd numbermustbe an odd number. That odd numbercould beprime. For example, the sum of the first nine odd prime numbers {3, 5, 11, 13, 17, 19, 23, 29} is 127, which is prime. If you drop 3 and include the next prime, 31, the set {5, 11, 13, 17, 19, 23, 29, 31} has a sum of 155, which is clearly not prime.   (E) The sum of the terms in T is prime.   Thismust be false. The sum of eight odd numbers must be an even number. Only 2 is prime, and all other even numbers are not. Therefore, the sum of eight odd prime numbers will be an even number bigger than two, and absolutely cannot be prime.   The sum of the terms in S is prime.
Answer: D
Total number of students in a class is 95. if the total number of girls in the class is 45, then the ratio of total number if boys to total number girls is
Choose the correct choice from the following answers.
A) 9:10  B) 7:8  C) 10:9  D) 9:11  E) 8:12

Solution: Let the total number of boys in the class be x.   Then, according to the question,   x + 45 = 95   x = 95 - 45= 
95 - 45 = 50
50   Hence, the required ratio of total number of boys to total number of girls= B:G = 50:45 = 10:9   ANSWER :10:9
Answer: C
If there are 210 workers in a factory, and on a certain day, 198 were present. Calculate the percentage that showed up for work? (round to the nearest tenth). Options:  A) 94.3%  B) 95.3%  C) 93.3%  D) 92.3%  E) 91.3%

Solution: 198/210*100=94.28   94.3%   correct answer 94.3%
Answer: A
Health insurance Plan P requires the insured person to pay $500 but then the insurance pays 70% of the cost over $500. Plan Q requires the insured to pay the initial $400, but then pays 60% of the cost over $400. Which of the following is a cost level for which both insurance plans pay out the same amount?	Choose the correct choice
A) $700  B) $800  C) $900  D) $1000  E) $1100

Solution: 0.7(x-500)=0.6(x-400)   0.1x=350-240   x=1100   The answer is $1100.
Answer: E
A Pentagon marked P,Q,R,S and T on its five sides. five colors, black, brown,blue,violet and white are used to paint the five sides of the pentagon. If the adjacent faces are painted with the different colors, in how many ways can the pentagon be painted? Choose the correct choice from the following answers: A) 5 B) 9 C) 12 D) 6 E) 3

Solution: If the base of the pentagon is Black, then in order the adjacent faces to be painted with the different colors. 4 side faces can be painted in Brown-White-Violet-Blue Brown-White-Violet-Blue OR White-Blue-Violet-Brown White-Blue-Violet-Brown .   But we can have the base painted in either of the four colors, thus the total number of ways to paint the Pentagon is   5*1= 
  5*1 = 5
5.   5nswer: 5.
Answer: A
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?	Choose the correct choice from the following options.
A) 733 1/3% B) 163 1/3% C) 33 1/3% D) 213 1/3% E) 133 1/3%

Solution: Explanation:   1/4 33 1/3%P = 210 SP = 21*(80/100) = 168   SP = 840*(120/100)= 
840*(120/100) = 1_008
1008   1008 - 168= 
1008 - 168 = 840
840   3/4 SP= 630   Gain = 210   630 --- 210   100 --- ? => 33 1/3%   Answer:33 1/3%
Answer: C
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?	Select the correct option
A) 20000	B) 21000	C) 22000	D) 25000	E) 30000

Solution: SoL = ~s- So Anju’s share = [5/9] x 54000 = 30000   30000
Answer: E
Convert the 13/36 m/s into kilometers per hour?	Pick one:  A) 1.6kmph  B) 2.3 kmph  C) 1.3 kmph  D) 1.7 kmph  E) 3.3 kmph

Solution: 13/36 m/s = 13/36 * 18/5 = 13/10= 
13/10 = 13/10 = around 1.3
1.3 kmph.Answer: 1.3 kmph
Answer: C
There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value K of 100th term?  Pick
A) 126	B) 192	C) 232	D) 252	E) 342

Solution: (1~99) 19, (100~199)  19, (200~299) 19. The 100th term should be 100-(19+19+19)= 
100-(19+19+19) = 43
43th number. Hence, the correct answer K is 342. The correct answer is 342.
Answer: E
In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 12,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?  Pick one.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: this is equivalent to :-   2x * 4y * 5z = 12000   y = z (given)   2x * 4y * 5y = 12000   2x * y^2 = 12000/20   2x * y^2 = 600   now from options given we will figure out which number will divide 800 and gives us a perfect square :-   which gives us x = 3 as   2* 3 * y^2 =600   y^2 = 100   y =10   Number of red chips = 3 hence 3
Answer: C
A large petrol tank has two inlet tubes (a large one and a small one) and one outlet tube. It takes 3 hours to fill the tank with the large inlet tube. On the other hand, it takes 6 hours to fill the tank with the small inlet tube. The outlet tube allows the full tank to be emptied in 9 hours.
What fraction of the tank (initially empty) will be filled in 0.64 hours if all three tubes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75). Choose the correct choice from the following answers:
A) 1 B) 3 C) 2 D) 5 E) 6

Solution: A   In one hour,   Soln 1:   the large inlet tube fills 1 / 3 of the tank;   the small inlet tube fills 1 / 6 of the tank;   the outlet tube empties 1 / 9 of the tank; and therefore   all three tubes together fill [ (1 / 3) + (1 / 6) − (1 / 9) ] of the tank.   Fraction of the tank that will be filled in 0.64 hours =   0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.   Soln 2:   Let V be the total volume of the tank. From equation (1),   Flow Rate (large inlet tube) = V / 3   Flow Rate (small inlet tube) = V / 6   Flow Rate (outlet tube) = V / 9.   Substituting in equation (2),   Rate of Accumulation in tank = (V / 3) + (V / 6) − (V / 9).   Using the above result in equation (1),   Time required to fill the complete tank = V / [ (V / 3) + (V / 6) − (V / 9) ].   Note that V cancels out on simplifying the above expression.   Fraction of the tank that will be filled in 0.64 hours =   0.64 [ (1 / 3) + (1 / 6) − (1 / 9) ] = 0.25.
Answer: A
A train passes a station platform in 36 sec and a man standing on the platform in 24 sec. If the speed of the train is 54 km/hr. What is the length of the platform?  Pick:	A) 288	B) 180	C) 881	D) 1277	E) 121

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 24= 
15 * 24 = 360
360 m.   Let the length of the platform be x m . Then,   (x + 360)/36= 15 => x = 180 m.   Answer: 180
Answer: B
Find the value of (950+ 220/900) × 900 Choices
A) 854542  B) 856945  C) 758965  D) 855220  E) 826450

Solution: (855000+220)/900 * 900 = 855000+220= 
855000+220 = 855_220
855220   Answer : 855220
Answer: D
Find the greatest number that will divided 43,91 and 183 so as to leave the same remainder in each case  Choose the correct choice from the following options
A) 4	B) 7	C) 9	D) 13	E) 15

Solution: Solution   Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)   = H.C.F. of 48, 92 and 140 = 4. 4nswer 4
Answer: A
The ratio Q , by volume of soap to alcohol to water in a 76 litre solution is 2: 50: 100 . The solution is then altered by adding more soap, alcohol and water.After this alteration the ratio, by volume of soap to water in the solution doubles whereas the ratio, by volume of soap to water remains the same as before. What COULD BE the resulting volume.	Select:
A) 79 litres  B) 78 litres  C) 77 litres  D) 152 liters  E) 304 litres

Solution: I guess it should be   the ratio Q, by volume ofsoaptowaterin the solutiondoubleswhereas the ratio, by volume ofalocoholtowaterremains thesameas before   2:50: 100 => 1 : 25 : 50. If we add all the parts, we get 76 liters   So we have 1 liters of Soap, 25 liters of Alcohol and 50 liters of Water.   Now as per the Question, Soap : Water doubles but alcohol to water remains the same.   So Soap becomes 2 liters, Alcohol remains 25 liters and Water remains at 50 liters.   Hence 77 liters - Option 77 litres)
Answer: C
The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?	Choices.
A) 76 B) 15 C) 18 D) 16 E) 19

Solution: Let the length and the breadth of the floor be l m and b m respectively.   l = b + 200% of b = l + 2b = 3b   Area of the floor = 324/3= 
324/3 = 108
108 sq m   l b= 108 i.e., l * l/3 = 108   l2 = 324 => l = 18.   Answer: 18
Answer: C
A child must place 4 different toys in 5 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins? Select.
A) 5^4  B) 6^4  C) 4^6  D) 4^4  E) 6^4-4^6

Solution: there are 4 different bins and each of the toy can go to any of these bins..   so answer 5âˆ—5âˆ—5âˆ—5=5^4   5^4NSWER:5^4
Answer: A
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Choose the correct option
A) 48%
B) 24%
C) 44%
D) 46%
E) 84%

Solution: g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer: 44%
Answer: C
Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 2000. then his monthly salary is	Choose the most appropriate option
A) Rs. 10000  B) Rs. 6000  C) Rs. 8000  D) Rs. 4000  E) Rs. 2000

Solution: Sol.   Saving = [100 - (40 + 20 + 10 + 10]% = 20%.   Let the monthly salary be Rs. x.   Then, 20% of x = 2000   â‡” 20 / 100x = 2000   â‡” x = 2000 Ã— 5 = 10000.   Rs. 10000nswer Rs. 10000
Answer: A
The radius of the two circular fields is in the ratio 4: 5 the area of the first field is what percent less than the area of the second?  Choose the most appropriate option:  A) 42%  B) 39%  C) 38%  D) 36%  E) 26%

Solution: r = 4 Ï€r2 =16   r = 5 Ï€r2 = 25   25Ï€ â€“ 9Ï€   100 ---- ? => 36%.Answer:36%
Answer: D
The operation is defined for all integers a and b by the equation ab = (a - 1)(b - 1). If x20 = 190, what is the value of x ?	Choose one:
A) 10
B) 12
C) 11
D) 13
E) 14

Solution: ab = (a - 1)(b - 1)   x20 = (x-1)(20-1) = 190 --> x-1=10 --> x=11   Answer: 11
Answer: C
An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 15% profit, offers a discount of 15% on the marked price. What is his actual profit on the sales?	Choose the correct choice from the following choices:
A) 12.50 % B) 27.50 % C) 14 % D) 14.50 % E) None

Solution: Sol.   Let C.P. = Rs. 100. Then, marked price = Rs. 150.   S.P. = 85% of Rs. 150 = Rs. 127.5.   ∴ Gain% = 27.50%.   Answer 27.50 %
Answer: B
Julie had 90 currency notes in all, some of which are of Rs 80 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs. 6000. How much amount (in Rs) did she have in the denomination of Rs 50?  Choose the correct choice.
A) 56  B) 35  C) 30  D) 45  E) 40

Solution: Let the number of 50-rupee notes = x   Then, the number of 80-rupee notes = (90 – x)   50x + 80(90 – x) = 6000 : x = 40   ANSW40R:40
Answer: E
John bought Bicycles at 6 for Rs 10000.What is the profit or loss Percentage after selling Bicycles at 5 for Rs 10000.
Pick one
A) 30%
B) 50%
C) 20%
D) 60%
E) None

Solution: C.P. of 6 Bicycles = Rs10000   C.P. of 1 Bicycle = Rs10000/6=Rs 5000/3   S.P. of 5 Bicycles = Rs10000   S.P of 1 Bicycle= Rs 2000   Therefore, Profit Percentage={(2000-5000/3)/(5000/3)}100=20%   Answer: Option 20%
Answer: C
Look at this series: 70, 71, 76, __, 81, 86, 90, 91, ... What number should fill the blank? Choose the correct option
A) 70 B) 71 C) 80 D) 96 E) 84

Solution: 70,71,76   80,81,86   90,91,96   ANSWER:80
Answer: C
A container contains 40lit of milk. From this container
4 lit of milk was taken out and replaced by water.
This process was repeated further two times.
How much milk is now contained by the container?
Choose the correct choice from the following answers
A) 19.16 lit  B) 29.16 lit  C) 9.16 lit  D) 26.16 lit  E) 16.6 lit

Solution: Amount of milk left after 3 operations = 40(1-4/40)3lit   =(40*9/10*9/10*9/10)= 
(40*9/10*9/10*9/10) = 729/25 = around 29.16
29.16 lit   ANSWER : 29.16 lit 29.16 lit
Answer: B
Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him?  Choose the correct choice from the following choices
A) 3000	B) 3300	C) 3400	D) 3700	E) 4000

Solution: Let the money he took for shopping be m.   Money he spent = 30 % of m   = 30/100 × m   = 3/10 m   Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10   But money left with him = $ 2100   Therefore 7m/10 = $ 2100   m = $ 2100× 10/7   m = $ 21000/7= 
21000/7 = 3_000
$ 3000   Therefore, the money he took for shopping is $ 3000.   3000)
Answer: A
If s,u, and v are positive integers and 2s=u+2v, which of the following must be true?
i. u>v
ii. u is not equal to v
iii. s=u	Choose the correct option.
A) None  B) I only  C) II only  D) III only  E) II and III

Solution: Notice two things: 1. we are asked to find out which of the following MUST be true, not COULD be true and 2. s, u, and v are positive integers.   Given: 2s=2u+2v --> s=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I is never true and III is always true. As for II: it's not necessarily true, for example 4=2+2. So, we have that only option I must be true.   Answer: I only
Answer: B
If x% of y is 100 and y% of z is 200, then find the relation between x and z.
Choose the correct option:
A) z = x	B) 2z = x	C) z = 2x	D) None of above	E) z = 2y

Solution: Explanation:   It is , y% of z = 2(x% of y)   => yz/100 = 2xy/100   => z = 2x   Option z = 2x
Answer: C
A trader bought a car at 10% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?	Choose the correct option:
A) 118
B) 110
C) 112
D) 126
E) 115

Solution: Original price = 100   CP = 80   S = 80*(140/100) = 126   100 - 126 = 26%   Answer: 126
Answer: D
Kay and Larry race around a running track. Kay runs at a constant rate of one lap every 9 minutes and Larry runs at a constant rate of one lap every 11 minutes. If they both start at the same time, how many minutes will it take for Kay to get exactly one lap ahead of Larry?  Choose the correct choice
A) 41.5
B) 43.5
C) 45.5
D) 47.5
E) 49.5

Solution: Let x be the number of minutes it takes for Kay to get one lap ahead.   Then Kay ran x/9 laps and Larry ran x/11 laps.   x/9 = 1+x/11   11x=99+9x   2x=99   x=49.5   The answer is 49.5.
Answer: E
A certain roller coaster ride has between 80 and 110 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster. How many riders are in the line?
Choose the correct choice
A) 82 B) 87 C) 90 D) 102 E) 110

Solution: let 'x' be the number of riders. Given   x=5k+2 and x=6q also x is between 80-110   so multiples of 5= 80, 85, 90, 95, 100, 105, 110   multiples of 6= 84, 90, 96, 102, 108   Condition: If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster.   only value satisfying this condition within a group of 80-110 riders is 102.   ANSWER:102
Answer: D
If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 8 € (4 € 5) =  Choose the correct answer:  A) 80  B) 120  C) 160  D) 640  E) 760

Solution: working inside out,   (4 € 5) = 2*4*5= 
2*4*5 = 40
40   8 € 40= 2*8*40= 
2*8*40 = 640
640   Hence, answer is 640
Answer: D
The ratio of the volumes of two cubes is 729 : 343. What is the ratio of their total surface areas?  Choose the correct choice from the following choices:
A) 81 : 49 B) 81 : 122 C) 81 : 124 D) 81 : 126 E) 81 : 129

Solution: Ratio of the sides = 3√729 : 3√343 = 9 : 7   Ratio of surface areas = 9^2 : 7^2 = 81 : 49   81 : 49nswer: Option 81 : 49
Answer: A
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 150 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct choice from the following options: A) 39 sec B) 87 sec C) 36 sec D) 16 sec E) 11 sec

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 150= 
240 + 150 = 390
390 m.   Time taken= 390/10= 
390/10 = 39
39 sec.   39 secnswer: 39 sec
Answer: A
In a certain province in France there are 11 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?  Choose the correct choice from the following options.
A) 55  B) 105  C) 330  D) 143  E) 156

Solution: 1 city needs 10 roads to connect directly to the rest => 11 city needs 11*10 roads.   One road is counted twice => the number of road needed is 11*10/2= 
11*10/2 = 55
55   55nswer 55
Answer: A