MU-NLPC/Calc-aqua_rat huggingface dataset:
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:	Choose the correct answer:
A) 20	B) 80	C) 100	D) 200	E) 120

Solution: Let the number of students in rooms A and B be x and y respectively.   Then, x - 10 = y + 10   x - y = 20 .... (i)   and x + 20 = 2(y - 20)   x - 2y = -60 .... (ii)   Solving (i) and (ii) we get: x = 100 , y = 80.   The required answer A = 100.   ANSWER:100
Answer: C
Which one of the following numbers is the greatest positive integer x such that 4^x is a factor of 64^5?
Choose the correct choice from the following:
A) 5
B) 8
C) 10
D) 15
E) 19

Solution: 64 = 4*4*4= 4^3   64^5 =(4^3)^5   =4^15   we have to find the greatest positive integer value for x   when x=15, it divides exactly once and that is the least positive integer value of the quotient   therefore, the correct option is 15
Answer: D
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is: Choose the correct answer
A) 15 cm B) 25 cm C) 35 cm D) 42 cm E) 45 cm

Solution: Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.   Answer: Option 35 cm
Answer: C
In a friendship gang Kala has 11 gang, in how many ways can he invite one or more of the gang to his house?
Choose the correct choice from the following.
A) 1244 B) 2047 C) 3698 D) 5789 E) 78895

Solution: Kala can select one or more than one of his 8 gang.   => Required number of ways = 2^11 – 1= 2047.   2047
Answer: B
A train moves past a house and a river bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?
Options
A) 79.2 km/hr	B) 60.5 km/hr	C) 65 km/hr	D) 62.5 km/hr	E) 75.2 km/hr

Solution: length of the train be p metres and its speed - q m/sec.   p/q = 8 => p = 8q   p+264/20 = q   8q+264 = 20q   q = 22   speed = 22 m/s = (22*18/5)= 
(22*18/5) = 396/5 = around 79.2
79.2 km/hr   79.2 km/hrNSWER 79.2 km/hr
Answer: A
If s is the smallest positive integer such that 3,150 multiplied by s is the square of an integer, then s must be
Choices.
A) 2
B) 5
C) 6
D) 7
E) 14

Solution: Solution:   This problem is testing us on the rule that when we express a perfect square by its unique prime factors, every prime factor's exponent is an even number.   Let’s start by prime factorizing 3,150.   3,150 = 315 x 10 = 5 x 63 x 10 = 5 x 7 x 3 x 3 x 5 x 2   3,150 = 2^1 x 3^2 x 5^2 x 7^1   (Notice that the exponents of both 2 and 7 are not even numbers. This tells us that 3,150 itself is not a perfect square.)   We also are given that 3,150 multiplied by s is the square of an integer. We can write this as:   2^1 x 3^2 x 5^2 x 7^1 x s = square of an integer   According to our rule, we need all unique prime factors' exponents to be even numbers. Thus, we need one more 2 and one more 7. Therefore, s = 7 x 2 = 14   Answer is 14.
Answer: E
The last day of a century cannot be
Pick one
A) Monday B) Wednesday C) Tuesday D) Friday E) None of these

Solution: Explanation :   We know that number of odd days in 100 years = 5   Hence last day of the first century is Friday   Number of odd days in 200 years = 5 x 2 = 10 = 3 (As we can reduce multiples of 7   from odd days which will not change anything)   Hence last day of the 2nd century is Wednesday   Number of odd days in 300 years = 5 x 3 = 15 = 1 (As we can reduce multiples of 7   from odd days which will not change anything)   Hence last day of the 3rd century is Monday   We know that umber of odd days in 400 years = 0. (? 5 x 4 + 1 = 21 = 0)   Hence last day of the 4th century is Sunday   Now this cycle will be repeated.   Hence last day of a century will not be Tuesday or Thursday or Saturday   Answer : Option Tuesday
Answer: C
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should B pay?
Choose the correct choice from the following.
A) 360	B) 227	C) 268	D) 198	E) 176

Solution: 12*8 :16*9 = 18*6   8: 12: 9   12/29 * 870= 
12/29 * 870 = 360
360   360nswer:360
Answer: A
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?  Choose the correct choice from the following answers
A) 16 B) 17 C) 18 D) 19 E) 14

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 867   3b2 = 867   b2 = 289 = 172 (b > 0)   b = 17 m.   Answer: Option 17
Answer: B
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Pick one:
A) 175  B) 195  C) 180  D) 160  E) 140

Solution: Suppose the man works overtime for x hours.   Now, working hours in 4 weeks = (5 x 8 x 4) = 160.   160 x 2.40 + x * 3.20 = 432   3.20x = 432 - 384= 
432 - 384 = 48
48   x= 15.   Hence, total hours of work = (160 + 15)= 
(160 + 15) = 175
175.   175nswer is 175.
Answer: A
A shipment of 220 smartphones contains 84 that are defective. If a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective? Choose the correct choice
A) 1/250
B) 1/84
C) 11/76
D) 1/9
E) 1/3

Solution: Probability of chosing one defective phone from a lot of 220 which ontains 84 defective phones is = (84/220)   Probability of chosing one defective phone from a lot of 219(we already picked one) which ontains 83(we already picked one) defective phones is = (83/219)   11/76ombined probability of series of events = product of the probabilities = (84/220)*(83/219)   84/220 is close to (21/55) and (83/219)= (36/95)   so answer is (21/55)*(36/95) = (11/76)   So, answer will be 11/76
Answer: C
A man sells a horse for Rs.800 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?  Answers.
A) 277 B) 277 C) 261 D) 860 E) 267

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   Answer: 860
Answer: D
Integer n is a four digit number such that it is made exactly of 2 distinct digits. If n is divisible by 9, how many possible values does n have?  Choose the correct choice from the following.
A) 59
B) 60
C) 61
D) 68
E) 69

Solution: Then the additional combinations would be, 9000(1), 8883(4), 7776(4), 6669(4), 6660(3), 5553(4), 4446(4), 3339(4), 3330(3), 2221(4), 1116(4), 9990(3).   8*4= 
8*4 = 32
32   3*3= 
3*3 = 9
9   1*1= 
1*1 = 1
1   total= 42   Previous was 27. So total  27+42= 
 27+42 = 69
69.   ANSW69R:69
Answer: E
In a certain town, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 330 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?  Choose the correct choice from the following:
A) 72
B) 88
C) 95
D) 120
E) 135

Solution: The ratio of Yankees:Mets:Red Sox = 6:4:5   The Mets fans are 4/15 of the population.   (4/15)*330= 
(4/15)*330 = 88
88   The answer is 88.
Answer: B
pqrs is a rectangle having area 50. rx=1/4sr.what is the area of pqxs?  Select
A) 41.75  B) 42.75  C) 43.75  D) 44.75  E) 45.75

Solution: given pqrs is a rectangle and x located on sr whivh is having length rx=1/4sr.   from this we get right angle traingle qrx.   area of qrx=1/2*l/4*b=lb/8= 50/8 =6.25.   therefore area of pqxs= 50-6.25 = 42.75   ANSWER:42.75
Answer: B
A runs 1 2⁄3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time? Choose the correct choice from the following:
A) 200 m  B) 250 m  C) 450 m  D) 350 m  E) 270 m

Solution: Speed of A : Speed of B = 5⁄3 : 1 = 5 : 3   i.e., In a race of 5 m, A runs 5 m and B runs 3 m   i.e., A gains 2 m over B in a race of 5 m   => A gains 80 m over B in a race of 52×80 = 200 m   Hence, winning point should be 200 m away from the starting point.   200 mNSWER:200 m
Answer: A
Johnny bought six peanut butter cans at an average price (arithmetic mean) of 35¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?  Answers:
A) 5.5  B) 43  C) 47.5  D) 66  E) 67.5

Solution: Total price of six cans = 6*35= 
6*35 = 210
210   Total price of 4 cans= 4*31= 
4*31 = 124
124   Total rice of two cans= 210 - 124= 
210 - 124 = 86
86   Average price of two cans= 86/2= 
86/2 = 43
43 c   Another way to do it is this:   Assume that the four leftover cans were of 31c each. The avg was 35c initially because the two cans were 35c each and were providing another 4c of cost to other 4 cans.   So cost of the two cans= 2*35 + 4*4= 
2*35 + 4*4 = 86
86   Avg cost of the two cans= 86/2= 
86/2 = 43
43c   Answer (43)
Answer: B
A rope of which a calf is tied is increased from 5m to 9 m, how much additional grassy ground shall it graze? Choices: A) 1218 B) 180 C) 176 D) 200 E) 291

Solution: π (92 – 52) = 176   Answer: 176
Answer: C
5% of a number is more than 20% of 650 by 190. Find the number?  Choose one:
A) 288
B) 278
C) 800
D) 267
E) 6400

Solution: (5/100) * X â€“ (20/100) * 650 = 190   1/20 X = 320   X = 6400   Answer:6400
Answer: E
For all numbers a and b, the operation is defined by ab = (a + 2)(b – 3).
If 3x = –20, then x = Options
A) –15	B) –6	C) 3	D) 6	E) -1

Solution: (3+2)(x-3)=-20..   x-3=-4..   x=-1   -1
Answer: E
(7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5) = ?
Select: A) 1 B) 1 / 5 C) 15 / 11 D) 3 / 11 E) None

Solution: Answer   Given expression = (7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5)   = (14 + 1) / (10 + 1)   =15 / 11   Option: 15 / 11
Answer: C
Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 3,500, how much money did investors B and C earn in total?
Select the correct option:	A) $4,000	B) $4,900	C) $5,600	D) $9,500	E) $10,500

Solution: Let profit for A = 5x   profit for B = 7x   profit for C = 8x   Investor A earned = 3500   5x = 3500   Total profit for B and C = 7x+ 8x = 15x   Therefore , 15x 7 + 8= 
7 + 8 = 15
15x   Therefore , 15x= 5x * 3 = 3500 * 3 = 10,500   Answer $10,500
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.  Choose the most appropriate option:
A) 150
B) 776
C) 555
D) 257
E) 812

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train(Distance) = Speed * Time   =50/3∗9=150meter   150nswer: 150
Answer: A
In a certain province in France there are 15 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?  Answers
A) 30  B) 105  C) 330  D) 14!  E) 15!

Solution: 1 city needs 14 roads to connect directly to the rest => 15 city needs 15*14 roads.   One road is counted twice => the number of road needed is 15*14/2= 
15*14/2 = 105
105   Answer 105
Answer: B
The value of (8x10^7)(8x10^8) is closest to which of the following? Choose the correct choice from the following choices.
A) 10^17 B) 10^14 C) 10^18 D) 10^19 E) 10^20

Solution: multiplying these we get,   64 x 10^7 x 10^8   = 6.4 x 10^16   which is closer to 10^17   10^17nswer: 10^17
Answer: A
If the number65947*8 is completely divisible by 8, then the smallest whole number in place of * will be?
Choose the correct choice
A) 1	B) 2	C) 3	D) 4	E) None of these

Solution: The number 7x8 must be divisible by 8.   x=2 as 728 is divisible by 8.   Correct Option : 2
Answer: B
A sum of money place at compound interest doubles itself in 7 years. In how many years will it amount to eight times itself?
Choose the correct choice from the following answers:  A) 21  B) 25  C) 31  D) 35  E) 41

Solution: 100 ---- 200 ---- 7   400 ---- 7   800 ---- 7   ------   21 years   21nswer: 21
Answer: A
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?	Choose the correct choice from the following answers:
A) 180%	B) 189%	C) 100%	D) 109%	E) 120%

Solution: MP = 100   100%P = 75   SP = 150   ------   75 ---- 75   100 ---- ? => 100%   Answer: 100%
Answer: C
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
Pick one:  A) 195  B) 196  C) 197  D) 198  E) 199

Solution: According to the division process of whole numbers, N can be written, using multiplication, as follows   N = quotient × divisor + remainder = 15 × 13 + 2 = 197   correct answer is 197)197
Answer: C
Solution A is 30% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution? Choices: A) 6:4 B) 6:14 C) 4:4 D) 4:6 E) 3:2

Solution: Forget the volumes for the time being.   You have to mix 30% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use   w1/w2 = (A2 - Aavg)/(Aavg - A1)   w1/w2 = (80 - 50)/(50 - 30) = 3/2   So the volume of the two solutions will be equal. Answer has to be 3:2   3:2
Answer: E
A train running at the speed of 36 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices
A) 150 meter  B) 299 meter  C) 666 meter  D) 90 meter  E) 144 meter

Solution: Speed = 36*(5/18) m/sec = 10 m/sec   Length of Train (90 meteristance) = Speed * Time     (10) * 9= 
  (10) * 9 = 90
90 meter   Answer: 90 meter
Answer: D
Which of the following best approximates the value of q if 6^44+3^11=6^q ? Choices
A) 55 B) 50 C) 45 D) 44 E) 43

Solution: We have: 6^44+3^11=6^q   ==> because 3^11 > 0 --> 6^q MUST be equal or greater than 6^44 ==>q MUST be equal or greater than 44   ==> Option E is out immediately.   Divide both sides by 6^q and q >= 44   We have:   6^(44-q) + 3^11/6^q = 1   Because q >= 44 ==>3^11/6^q = 0.0000xyz, that is very small,we can ignore it.   Thus, 6^(44-q) must be approximately 1   ==> 44-q = 0 ==> q is approximately 44   44 is the answer.
Answer: D
A worker is paid x rupees for painting every 10 metres of a wall and y rupees for painting every extra metre. During one week, he painted 10 metres on Monday, 13 metres on Tuesday, 12 metres on Wednesday, 11 metres on Thursday and 12 metres on Friday. What is his average daily earning rupees for the five day week?  Choose the correct choice from the following answers
A) x + (8/5)y
B) (5x + 9y)/5
C) 10x + (8/5)y
D) None of these
E) Cannot be determined

Solution: Explanation :   On Monday, the payment = Rs x   On Tuesday, the payment = Rs (x + 3y)   On Wednesday, the payment = Rs (x + 2y)   On Thursday, the payment = Rs (x + y)   On Friday, the payment = Rs (x + 2y)   x + (8/5)yverage daily earning during the five-day week = (5x + 8y)/5   = x + (8/5)y   x + (8/5)ynswer : x + (8/5)y
Answer: A
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose the correct choice from the following choices
A) 298 m	B) 188 m	C) 120 m	D) 178 m	E) 189 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer:120 m
Answer: C
A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $20 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item? Select the correct option:  A) $30  B) $31  C) $32  D) $33  E) $34

Solution: Let x be the price that buyers see online.   The distributor wants to receive 1.2(original price) which should be 80% of x.   1.2(20) = 0.8x   x = 1.2(20) / 0.8 = 1.5(20) = $30   The answer is $30.
Answer: A
In a Basket there are 10 apples. Jack wants only 5 apples to eat. How many Possible Combinations that he have? Choose the most appropriate option: A) 60 B) 720 C) 84 D) 100 E) 120

Solution: Jack Wants only 5 apples. so the combination comes under 10C5.   10845= 10!/(10-5)!*5!=10!/5!*5!   10!10 /(10-5) *5= 
10 /(10-5) *5 = 10
10!/5!*5!   10!=10*9*8*7*6*5!   5!=5*4*3*2*1   10845=10*9*8*7*6/5*4*3*2=84   There are 84 possible ways to choose apples in a basket
Answer: C
A town consists of only one street in the form of a circle. The town authorities give out four licenses for a particular kind of business. The inhabitants of the town live in equal density along the circle and will always go to the closest business for what they need. Business A gets to choose a location first, then business B, then C, and finally D. Each business desires to carve out as much business for themselves as possible but each knows the others all have the same motive. Assume that if a business is indifferent between locating in two different sections of the circle it will choose a section at random. Also assume that the business that goes last will choose a location in the middle of the largest (or one of the largest) sections. Where should business B choose relative to the location of A?  Choose the correct choice from the following answers:	A) more then 1/3	B) barely less then 1/3	C) less then 2/3	D) more then 2/3	E) more then 3/3

Solution: The answer is just barely less then 1/3 of the circumference of the circle away from A.   This is only a quick overview of the solution, the details are left up to you. Let the circumference of the circle be 1 and that A chooses a location at point 0. Business D will choose a location in the middle of the largest section.   Business C will also choose the midpoint of the larger of the two gaps between the first two businesses.   If business B chooses a point before 1/3 then C will choose a point halfway between B and 1. Business D will choose randomly between the halfway point between A and C or B and C. If x is the location of business B then the area which B will carve out of the circle will be either (1+3x)/8 if D goes between B and C or (1+x)/4 if D goes between A and C. The average of these is (3+5x)/16. The same logic applies if B chooses a point after 2/3.   If business B chooses a point after 1/3 (but before 1/2) then C will choose a point halfway between A and B going the long way and D will choose the halfway point between A and B the short way. This will leave B exactly a 1/4 share of the business. The same logic applies if A chooses a point between 1/2 and just before 2/3.   If B should choose a location at exactly 1/3 then C would choose at 2/3 and D would be indifferent between 1/6, 1/2, and 5/6. B would have a 2/3 chance of having 1/4 of the business share and 1/3 chance of having 1/3, the average being 5/18 =~ 0.27778 .   Thus B should try to maximize (3+5x)/16 without choosing x equal or greater to 1/3. The optimal choice of location would be just a hair short of 1/3 (or just a hair after 2/3). At this point B will have a 50/50 chance at having either 1/4 or 1/3 of the market share for an average of 7/24=~ 0.29166667 of the market share.   correct answer barely less then 1/3
Answer: B
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train? Answers
A) 27 7/7 m	B) 27 8/9 m	C) 29 7/9 m	D) 27 7/9 m	E) 27 7/2m

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 5   = 250/9   = 27 7/9 m.   Answer:27 7/9 m:
Answer: D
If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 4 people to do 4 times of that particular work?
Choices.
A) 1	B) 2	C) 3	D) 4	E) 7

Solution: 3 people can do the work one time in one day.   1 person can do 1/3 of the work in one day.   4 people can do 4/3 of the work in one day.   4 people can do 4 times the work in 3 days.   The answer is 3.
Answer: C
There are 12 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have? Choose the correct choice from the following answers
A) 3/14 B) 5/19 C) 7/22 D) 9/23 E) 11/28

Solution: P(first stamp is different) = 7/12   P(second stamp is different) = 6/11   P(both stamps are different) = 7/12*6/11 = 7/22   The answer is 7/22.
Answer: C
Certain sum becomes 3 times it self at compound interest in 10 years. In how many years it becomes 9 times?  Choose the correct choice from the following answers.
A) 24	B) 20	C) 22	D) 28	E) 25

Solution: P(1 + R/100)(power10) = 3P   => P(1 + R/100)(power10) = 3   Let P(1 + R/100)(power n) = 9P   => (1 + R/100)(power n) = 9   => 3(power 2) = [(1 + R/100)(power10)](power2)   => (1 + R/100)(power n) => (1 + R/100)(power 20)   => n = 20 Years.   Answer is 20.
Answer: B
5 years ago Kate was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find the age of kate?
Answers: A) 33 B) 34 C) 35 D) 36 E) 37

Solution: let x be the mother's age and y be the son's age   x-5=5(y-5)   x+5=3(y+5)-8   by solving this we get x=35   ANSWER:35
Answer: C
The last day of a century cannot be
Choose the correct choice from the following
A) Monday	B) Wednesday	C) Tuesday	D) Friday	E) 3922

Solution: Answer: Tuesday) Tuesday
Answer: C
What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?	Choose the correct choice from the following choices:
A) 32.5
B) 32.4
C) 32.9
D) 32.3
E) 32.1

Solution: 36/7 r = 6.3   = 32.4   Answer:32.4
Answer: B
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z? Options:
A) Y2 = XY  B) Y2 = XZ  C) Y2 = XZ  D) X2 = XZ  E) Y2 = ZY

Solution: X = (Y*NR)/100 Y = (Z*NR)/100   X/Y = NR/100 Y/Z = NR/100   X/Y = Y/Z   Y2 = XZ   Answer: Y2 = XZ:
Answer: C
A gas station sold 50 000 liters of petrol at $1.50 per liter, 40 000 liters of diesel at $2.20 per liter and 100 000 liters of bio diesel at $1.10 per liter. what % of its total revenue is from bio diesel?  Choose one
A) 45.3%
B) 40.3%
C) 41.3%
D) 42.3%
E) 46.3%

Solution: Correct Answer:40.3%   The company's total revenue from petrol=50000*$1.50=$75000   The company's total revenue from diesel50000* 1.50= 
50000* 1.50 = 75_000
$75000   The company's total revenue from diesel=40000*$2.20=$88000   The company's total revenue from bio diesel 40000* 2.20= 
40000* 2.20 = 88_000
$88000   The company's total revenue from bio diesel=100000*$1.10=$110000   The combined total of all sales100000* 1.10= 
100000* 1.10 = 110_000
$110000   The combined total of all sales=$273000   Therefore % of bio diesel sales=110000/273000*100= 40.3%
Answer: B
How many multiples of 7 are there between 10 and 100 (both are inclusive)?  Answers:  A) 11  B) 13  C) 15  D) 17  E) 21

Solution: 7 multiples are 14,21,28,---------,98   It should be mentioned whether 10 and 100 are inclusive.   the answer is   (98-14)/7+1= 
  (98-14)/7+1 = 13
13   Answer is 13
Answer: B
between 100 to 200 how many no are divisible by both 3 and 2 and 100,200 are inclusive? Choose the correct choice from the following options.
A) 77 B) 78 C) 79 D) 80 E) 81

Solution: Prime numbers are 21   So 100-21= 
100-21 = 79
79   ANSWER:79
Answer: C
Suppose that another fresh fruit contains 40% water and dry fruit contains 25% water. How much dry fruit can be obtained from 100kg of fresh fruit? Choose the correct option
A) A)32kg B) B)40kg C) C)80kg D) D)85kg E) E)100kg

Solution: Quantity of pulp in 100kg of fresh fruits = (100-40)% of 100kg = 60kg   Let the quantity of dry fruit obtained be x kg   then, (100-25)% of x = 60   (75/100)*x = 60   x = 80   correct option is 80kg
Answer: C