MU-NLPC/Calc-aqua_rat huggingface dataset:
While working alone at their respective constant rates, server G uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files? Pick:
A) 2 hr  B) 2hr 20 min  C) 2hr 40 min  D) 5 hr 40 min  E) 6hr

Solution: Server G processes 480/4= 
480/4 = 120
120 per hour   Server Y processes 180/8 files per hour= 60 per hour   Total files processed per hour when G and Y work together = 120+60= 
120+60 = 180
180 files per hour   480/180= 2 2/3 hours=2hr 40 min
Answer: C
4, 2, -4, -8, 32, 26, -156, ? Pick:
A) -134
B) -144
C) -154
D) -164
E) -174

Solution: 4 - 2= 
4 - 2 = 2
2,   2 * -2= -4,   -4 - 4 = -8,   -8 * -4= 
-8 * -4 = 32
32,   32 - 6= 
32 - 6 = 26
26,   26 * -6= -156,   -156 - 8 = -164   ANSWER:-164
Answer: D
A batsman in his 10th innings makes a score of 60, and thereby increases his average by 3. What is his average after the 10th innings? He had never been ’not out’. Choose one
A) 47 B) 37 C) 39 D) 43 E) 33

Solution: Average score before 10th innings   = 60 - 3 × 10= 30   Average score after 10th innings   => 30 + 3= 
30 + 3 = 33
33   ANSW33R:33
Answer: E
What percentage of numbers from 1 to 70 have squares that end in the digit 1?
Choices.
A) 22%
B) 88%
C) 20%
D) 94%
E) 21%

Solution: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.   Number of such numbers = 14.   Required percentage   = (14/70 * 100)= 
(14/70 * 100) = 20
20%   Answer:20%
Answer: C
A Fruit store sells four varieties of Mangoes. A,B,C & D. IF A Costs 20% less than B, and C costs 25% less than A,and D costs 35% less than C what percent of B's cost is D?
Options:
A) 40%	B) 39%	C) 44%	D) 36%	E) 42%

Solution: Soln:-   39%=100   A 20% less than 39% = 80   C 25% less than A = 60   D 35% less than C = 39   D is what percent of 39% = D/39% * 100   = 39/100 * 100= 
39/100 * 100 = 39
39%   ANSWER:39%
Answer: B
If six persons sit in a row, then the probability that three particular persons are always together is?  Choose the correct choice from the following choices:
A) 1/5	B) 1/4	C) 1/9	D) 1/6	E) 1/1

Solution: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5   Answer:1/9
Answer: C
Marla is hanging a banner diagonally across a rectangular room. The length of the room is 3 feet shorter than its width. If the total area of the room is 130 square feet, what is the length of the banner (in feet)?  Choose the correct choice.
A) between 16 and 17
B) between 17 and 18
C) between 18 and 19
D) between 19 and 20
E) between 20 and 21

Solution: To solve this, we first need to set up an equation for the area of the room. If x is the width, then we have   x(x - 3) = 130. By putting the equation in standard form, we get x^2-3x-130=0. By using the quadratic formula, we get roots of -10 and 13. We know that x is the width, and x-3 is the length, so by using the roots, we get 13 as the width (x), and 10 as the length (x-3).   Once we have this, we can use the Pythagorean Theorem to solve for the diagonal. Plugging in the length and width, we will get d^2=13^2+10^2   =169+100= 
169+100 = 269
269   The square root of 269 is less than 17, since 17^2= 289. Going down a number, we can compute 16^2 = 256 < 269. Therefore, the length of the diagonal must be between 16 and 17.   The correct answer is between 16 and 17.
Answer: A
S is a set containing 8 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? Choose the correct choice from the following options: 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 median of S is equal to the median of T.
Answer: C
Triathlete Dan runs along a 3-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?	Choose the correct choice from the following.
A) 1/8
B) 2/15
C) 3/15
D) 1/4
E) 3/8

Solution: Dan travels 6 miles round trip.   Running part: (3/10*60 = 18 minutes)   Swimming Part: (3/6 *60 = 30 minutes)   6 miles in (18+30) minutes   6/48 = 1/8 mile per minute   1/8nswer: 1/8 mile per minute   1/8
Answer: A
A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days?  Select
A) 360 B) 480 C) 754 D) 687 E) 147

Solution: Let x be the number of parts the woodworker normally makes daily. In 24 days he makes 24⋅x pieces. His new daily production rate is x+5 pieces and in 22 days he made 22⋅(x+5) parts. This is 80 more than 24⋅x. Therefore the equation is:   24⋅x+80=22(x+5)   30=2x3   x=15   Normally he makes 15 parts a day and in 24 days he makes 15⋅24=360 parts.   correct answer is 360)360
Answer: A
If you have 8 New Year greeting cards and you want to send them to 3 of your friends, in how many ways can this be done?  Choose one:  A) 336  B) 720  C) 340  D) 670  E) None

Solution: Solution   We have to find number of permutations of 3 objects out of 8 objects. This number is 8P3=8(8-1)(8-2)=8*7*6= 
8*7*6 = 336
336   336nswer 336
Answer: A
6x − 12 = 6y
4y + 4x = 12
Which of the following is the number of solutions to the system of equations shown above?
Select
A) More than three  B) Exactly one  C) Exactly two  D) Exactly three  E) None

Solution: 6x − 12 = 6y   => 6x - 6y = 12   => x- y =2 -- 1   4y + 4x = 12   =>x + y = 3 -- 2   From equation 1 and 2 , we get   2x = 5   => x=2.5   y=.5   Therefore , the given system will have Exactly one solution   Answer : Exactly one
Answer: B
115 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choose the correct answer:
A) 12 liters	B) 32 liters	C) 46 liters	D) 50 liters	E) 34 liters

Solution: Milk = 3/5 * 115= 
3/5 * 115 = 69
69 liters   Water= 46 liters   69 : (46+P) = 3:4   138 + 3P = 276 => P = 46   46 liters of water are to be added for the ratio become 3:4.   Answer:46 liters
Answer: C
Let the number which when multiplied by 12 is increased by 198.	Choices:  A) 18  B) 20  C) 26  D) 28  E) 30

Solution: Solution   Let the number be x .   Then, 12x - x = 198   ‹=›11x = 198   x ‹=› 18.   18nswer 18
Answer: A
The total age of A and B is 18 years more than the total age of B and C. C is how many year younger than  Choose one
A) 14 years B) 12 years C) 56 years D) 66 years E) 18 years

Solution: Given that A+B = 182 + B + C   => A â€“ C = 18 + B â€“ B = 18   => C is younger than A by 18 years   Answer:18 years
Answer: E
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:  Options:
A) 332 B) 268 C) 245 D) 276 E) 191

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.   Answer: 245
Answer: C
How many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph? Choose the correct choice from the following answers
A) 54 sec
B) 35 sec
C) 25 sec
D) 45 sec
E) 24 sec

Solution: D = 100 + 250= 
100 + 250 = 350
350   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 350/10= 
350/10 = 35
35 sec   Answer:35 sec
Answer: B
Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Select: A) 4 years B) 6 years C) 2 years D) 3 years E) 8 years

Solution: Explanation:   9261 = 8000(21/20)N   (21/20)3 = (21/20)N => N = 3   Answer IS 3 years
Answer: D
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
Choose the most appropriate option:
A) 750 cu.m B) 75 cu.m C) 4500 cu.m D) 500 cu.m E) 600 cu.m

Solution: hectare = 10,000 m^2   so area = (1.5 * 10000) m^2 = 15000 m^2   depth = 5/100m = 1/20m   volume = (area*depth) = 15000 * 1/20= 
15000 * 1/20 = 750
750 m^3   750 cu.mNSWER 750 cu.m
Answer: A
Find the area of a parallelogram with base 30 cm and height 12 cm?  Choose one
A) 290 cm2
B) 360 cm2
C) 270 cm2
D) 280 cm2
E) 260 cm2

Solution: Area of a parallelogram = base * height = 30 * 12= 
30 * 12 = 360
360 cm2   Answer:360 cm2
Answer: B
a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers S was deleted?
Choose the correct choice from the following answers
A) a  B) b  C) c  D) d  E) e

Solution: a+b+c+d+e => 1+2+3+4+5= 
1+2+3+4+5 = 15
15   S=20%*15= 3 =>c
Answer: C
If 2994 Ã· 14.5 = 179, then 29.94 Ã· 1.45 = ?	Pick one.
A) 17.1
B) 17.3
C) 17.5
D) 17.7
E) 17.9

Solution: 29.94/ 1.45 = 299.4/14.5   = (2994/14.5) x 1/10) [ Here, Substitute 179 in the place of 2994/14.5 ]   = 179/10= 
179/10 = 179/10 = around 17.9
17.9   Answer is 17.9.
Answer: E
Evaluate: 30 - 12*3*2 = ?	Choose the correct option
A) 62  B) 52  C) 32  D) 12  E) 22

Solution: According to order of operations, 12?3?2 (division and multiplication) is done first from left to right   12**2 = 4* 2= 
4* 2 = 8
8   Hence   30 - 12*3*2= 30 - 8= 
30 - 8 = 22
22   correct answer 22
Answer: E
Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 324x is the cube of a positive integer?
Choose the correct choice from the following answers:
A) 9
B) 12
C) 18
D) 24
E) 36

Solution: We want to know the smallest x that will make 324x a CUBE of some number. Let's call that number y.   Let's first figure out what we're working with. The prime factorization of 324 can be visualized:   ...........324   ......../.......\   ......81.......4   ...../..\....../...\   ...27...3...2.....2   .../..\   ..9....3   /\   .3 3   So, we have 3 * 3 * 3 * 3 * 2 * 2 that can be multiplied together to get 324. Now we need to figure out what we need to make 324 * x into a cube of y (y^3=324*x).   We have four 3s, and two 2s. To arrange these numbers in identical triples (2,3,3), we need at least one more 2 and two 3's. Each of these triples will give us the value of y (2*3*3=18), which, multiplied by itself three times, gives us 324 * x.   Looking at the factors we need to complete the triples, we get   3 * 3 * 2= 
  3 * 3 * 2 = 18
18. We know this is the smallest number possible because prime factors by definition cannot be broken down any further.   Therefore, we can go with answer choice C.   If time permits, we can do a sanity check. We calculated that y should be 2 * 3 * 3, or 18. 18 * 18 * 18= 5832. Also, 324 * 18 = 5832.   Answer: 18
Answer: C
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 26 white marbles. How many red marbles could be in bag A?	Choose one
A) 1
B) 3
C) 4
D) 2
E) 8

Solution: # of Red marbles in Bag A can be either 2 or 6. No 2 in the choices, so 6. D.   Bag A:   R:W:B = 2:6:9   Bag B   R:W = 1:4   6X + 4Y = 26 i.e 3X + 2Y = 13   X has to be odd to make an odd sum from the eq.   X = 1 , Y = 5 OR X = 3, Y = 2   So R can be 2X i.e 2 or 6.   Answer 2
Answer: D
The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by? Choices: A) 33 1/3 % B) 9 1/11 % C) 11 1/9 % D) 66 2/3 % E) None

Solution: 100   75   -------   75 ------- 25   100 ------ ? => 33 1/3%   33 1/3 %NSWER:33 1/3 %
Answer: A
A man sells a horse for Rs.20 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Select the correct option:
A) 227	B) 340	C) 277	D) 860	E) 771

Solution: CP = SP + 1CP = SP - g   20 + x = 980 - 2x   3x = 960=> x = 320   CP = 320 + 20= 
320 + 20 = 340
340   Answer: 340
Answer: B
If x and y are prime numbers, which of the following CAN be the sum of x and y?	Select.
A) 5  B) 8  C) 12  D) 15  E) 23

Solution: 5nswer: 5
Answer: A
Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,10,000 earned at the end of 3 years from the start of the business in 2010?	Choose the correct choice from the following.
A) Rs.45000
B) Rs.50000
C) Rs.60000
D) Rs.70000
E) None of these

Solution: Explanation :   Aish : Roshan : Atul   = (25000 x 12 + 35000 x 12 + 45000 x 12) : (35000 x 24) : (35000 x 12)   = 1260000 : 840000 : 420000 = 3 : 2 : 1   Roshan's share = Rs. 210000 x 2/6   = Rs. 70000.   Answer : Rs.70000
Answer: D
Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?	Choose the correct choice from the following answers
A) Rs.6, 19 B) Rs.6, 10 C) Rs.6, 16 D) Rs.6, 11 E) Rs.6, 12

Solution: Explanation: Just check the options. If she bought 10 white sharpeners at Rs.6 per piece, She has spent Rs.60 already. And with the remaining Rs.40, she bought 8 brown sharpeners at 40/8 = Rs.5 which is Rs.1 less than White sharpener.   Sol: Rs.6, 10
Answer: B
Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?  Choose one.
A) $200	B) $150	C) $210	D) $175	E) Insufficient data

Solution: Answer   The sum grew to $240 at the end of 2 years.   At the end of another 3 years, the sum grew to $ 300.   i.e. in 3 years, the sum grew by $ 60.   Therefore, each year, it grew by $ 20.   Sum at the end of 2 years = $ 240   Sum grew by $ 20 each year.   Hence, in the first 2 years, sum grew by  2 * 20= 
 2 * 20 = 40
$ 40.   Therefore, sum at the beginning of the period= Sum at the end of 2 years - $40 = $ 240 - $ 40 = $ 200.   choice is ($200)
Answer: A
Tom drives from town A to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?  Choose the correct choice from the following options
A) 12
B) 20
C) 24
D) 30
E) 36

Solution: Let's assume that it takes 4 hours to go from point A to B.   Then the distance between them becomes 240 which makes distance between B and C 120.   (240+120)/(4+x) gives us the average speed which is 36.   You find x=6. So the question simplifies itself to   120/6= 
  120/6 = 20
20   Hence the answer is 20
Answer: B
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
Choose one:
A) 84	B) 90	C) 94	D) 95	E) 65

Solution: Let the length of the wire be h.   R84DIUM = 1/2 mm = 1/20 cm then   22/7*1/20*1/20*h = 66   h=(66*20*20*7/22)= 
(66*20*20*7/22) = 8_400
8400 cm= 84m   84NSWER 84
Answer: A
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?	Pick.
A) 776
B) 283
C) 245
D) 266
E) 288

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.   Answer: 245
Answer: C
Two trains of length 150 m and 250 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 18 kmph and 36 kmph. In how much time will the trains cross each other?  Select the correct option:
A) 87/7 sec B) 80/7 sec C) 100/3 sec D) 80/5 sec E) 20/7 sec

Solution: Relative speed = (18 + 36)* 5/18 = 3 * 5= 
3 * 5 = 15
15 mps.   The time required= d/s = (100 + 150 + 250)/15   = 500/15 = 100/3 sec.   Answer: 100/3 sec
Answer: C
When 35 per cent of a number is added to another number,the second number increases by its 20 per cent. What is the ratio between the second number and the first number? Choose the correct choice from the following:
A) 4 : 7	B) 7 : 4	C) 8 : 5	D) Data inadequate	E) None of these

Solution: 35% of x + y = 120⁄100y   or 35x+100y/100=120y/100⇒35x=20y   y⁄x = 35⁄20 = 7 : 4   Answer 7 : 4
Answer: B
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?  Choose the correct choice from the following answers.
A) (216 + 1)  B) (216 - 1)  C) (7 x 223)  D) (296 + 1)  E) None of these

Solution: Explanation:   Let 232 = x. Then, (232 + 1) = (x + 1).   Let (x + 1) be completely divisible by the natural number N. Then,   (296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.   ANSWER IS (296 + 1)
Answer: D
A division of a company consists of seven men and five women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?	Options:
A) 1/6
B) 2/5
C) 2/9
D) 5/12
E) 5/33

Solution: First, the denominator. We have twelve different people, and we want a combination of two selected from these twelve. We will use the formula:   nC2 = n(n-1)/2   which, for profound mathematical reasons we need not address here, is also the formula for the sum of the first (n – 1) positive integers. Here   12C2=12(11)/2=6*11= 
6*11 = 66
66   That’s the total number of pairs we could pick from the twelve employees. That’s our denominator.   For the numerator, we want every combination of two from the five female employees. That’s   5C2=5(4)/2=5*2= 
5*2 = 10
10   That’s the number of pairs of female employees we could pick from the five. That’s our numerator.   probability= 10/66 =5/55   Answer = 5/33
Answer: E
How many pairs of letters are there in the word 'CASTRAPHONE' which have as many letters between them in the word as in the alphabet? Select: A) Four B) One C) Three D) Seven E) None

Solution: Looking into the alphabets there are four such pairs namely ON,EH,ST,TO.   FourNSWER Four
Answer: A
For arranging a picnic, each student contributed an amount equal to the number of students while the teacher contributed an amount equal to twice the number of students. However, if each student would have contributed an amount equal to twice the number of students and the teacher would have contributed an amount equal to the number of students, they would have generated Rs. 1056 more. Find the number of students in the group?	Choose the most appropriate option.
A) 54
B) 56
C) 33
D) 18
E) 19

Solution: Explanation:   Let the number of students = x. Thus, we get,   [(2x2 + x) – (x2 + 2x)] = 1056   x2 - x - 1056 = 0   Solving the equation, we get, x = 33 or x = - 32.   Since the number of students are to be positive, number of students = x = 33   ANSWER: 18
Answer: D
A room is 5 meters 76 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.	Choose the correct choice from the following answers:
A) 12
B) 15
C) 17
D) 137
E) 147

Solution: Let us calculate both the length and width of the room in centimeters.   Length = 5 meters and 76 centimeters = 576 cm   width = 4 meters and 32 centimeters = 432 cm   As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.   Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 576 and 432 = 144   Thus, the number of square tiles required = (576 x 432 ) / (144 x 144) = 4 x 3 = 12   Answer: 15
Answer: B
A can complete a work in 15 days and B can do the same work in 9days. If A after doing 5days, leaves the work, find in how many days B will do the remaining work? Select.
A) 2days	B) 4days	C) 6days	D) 7days	E) 10days

Solution: The required answer = (15-5)*9 / 15 = 40/10 = 6days   Answer is 6days
Answer: C
A Cuban cigar would cost 1 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
Choose the correct answer:  A) 16.7$.  B) 23$.  C) 25.5$.  D) 35$.  E) 37.4$.

Solution: The three cigars together cost 74.7 dollars. If each cost the same , they would have cost a little less than 25 dollars each.   From the given data we know French cigar < Cuban cigar < Arabic cigar   and each is more expensive 1.5 times. Therefore eliminate options C,D,E straightaway . Since French cigar is at least 1.5 times cheaper we know B cannot be the answer.   Therefore 16.7$. is the answer
Answer: A