MU-NLPC/Calc-aqua_rat huggingface dataset:
A jar is filled of liquid which is 3 parts water and 5 parts alcohol. How much of this mixture should be drawn out and replaced such that this mixture may contain half
water and half alcohol?	Choose the correct option:
A) 28%	B) 10%	C) 20%	D) 29%	E) 26%

Solution: Explanation:   Let the jar initially contain 8 litres of mixture:3 litres water and 5 litres alcohol   Let x litres of this mixture is drawn out and is replaced by x litres of water.   Amount of water now in the solution: 3-(3/8)x+x.   Amount of alcohol now in the solution: 5-(5/8)x   Desired ratio: 1/1   =>3-(3/8)x+x=5-(5/8)x   x=8/5 litres   %x=((8/5)/8)*100= 
((8/5)/8)*100 = 20
20%   ANSWER: 20%
Answer: C
A large delicatessen purchased p pounds of cheese for c dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for S dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduct cost)  Choose the correct choice from the following choices.
A) (p − d)(s − c)	B) s(p − d) − pc	C) c(p − d) − ds	D) S(p-d) - cp	E) pc − ds

Solution: Total cost price = c*p ............... (1)   Wastage = d pounds   Quantity sold = p-d   Selling price per pound = S   Total selling price = S(p-d) ........... (2)   Profit = (2) - (1)   = S(p-d) - cp   S(p-d) - cp
Answer: D
What is the rate percent when the simple interest on Rs.1200 amount to Rs.400 in 4 Years?  Choose the correct answer.
A) 8.33%	B) 6%	C) 2%	D) 95%	E) 1%

Solution: Interest for 4yrs = 400   Interest for 1yr = 100   Interest rate = 100/1200 x 100 = 8.33%   8.33%nswer : 8.33%
Answer: A
If a and b are different positive integers and b(a + b) = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. a < b	Choose the correct answer.
A) I only
B) II only
C) III only
D) I and II
E) I and III

Solution: Number picking might not be the best way to solve MUST BE TRUE questions.   The question asks which of the followingMUSTbe true, or which of the following isALWAYStrue no matter what set of numbers you choose. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.   So the set you chose just proves that II is not always true and hence it's not a part of a correct choice. As for I and III: they might be true for this particular set of numbers but not true for another set, so you can not say that I and III are always true just based on one set of numbers (it just happens to be that I and III are always true).   As forCOULI and II BE TRUEquestions:   The questions asking which of the followingCOULI and IIbe true are different:if you can prove that a statement is truefor one particular set of numbers, it will mean that this statement could be true and hence is a correct answer   I and II.
Answer: D
Ramesh can complete a work in 12 days, working 7 hours a day. Suresh can complete the same work in 8 days, working 9 hours a day. If Ramesh and Suresh work together working 7 hours a day, in how many days can they complete the work?
Choose the correct choice from the following:	A) 5 * 7 / 13	B) 5 * 7 / 19	C) 5 * 7 / 11	D) 5 * 7 / 19	E) 5 * 6 / 11

Solution: Explanation:   Ramesh can finish the work in 12 * 7= 
12 * 7 = 84
84 hours   Amount of work he can complete in 1 hour= 1/84   Suresh can finish the same work in   8 * 9= 
  8 * 9 = 72
72 hours   Amount of work he can complete in 1 hour= 1/72 hours   Work done by both of them in 1 hour =   = 1/84 + 1/72 = 13/504   Ramesh and Suresh together can complete the work in 504/13 hours.   i.e. 504/13 * 1/7 = 72/13 days   i.e. 5 * 7 / 13 days   5 * 7 / 13NSWER: 5 * 7 / 13
Answer: A
A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choose one: A) 5 sec B) 9 sec C) 12 sec D) 15 sec E) 18 sec

Solution: Speed of the train relative to man = (68 - 8) kmph   = (60* 5/18) m/sec = (50/3)m/sec   Time taken by the train to cross the man   = Time taken by It to cover 250 m at 50/3 m / sec   = 250 *3/ 50= 
250 *3/ 50 = 15
15sec   Answer : 15 sec
Answer: D
If x, 3, 5, 7 are there and the range and median of them are the same, what is the value of x?	Pick
A) 0  B) 1  C) 2  D) 5  E) 4

Solution: Try taking the values of x as you suggested and then see if the median and the range are equal.   Once you do that, you will get the answer yourself.   Tried substituting values starting with 3, 5, 7...   only x = 5 satisfies the condition.   5
Answer: D
The average of first six prime numbers which are between 40 and 80 is	Pick one:
A) 35.4 B) 50.7 C) 45.7 D) 57 E) 67

Solution: Explanation :   first six prime numbers which are between 40 and 80 = 41, 43, 47, 53, 59, 61   average = (41 + 43 + 47 + 53 + 59 + 61)/6   = 50.7   Answer : 50.7
Answer: B
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?	Choose the correct choice from the following options:
A) 17 1/7 days  B) 17 1/8 days  C) 17 5/7 days  D) 17 3/7 days  E) 13 1/7 days

Solution: 1/30 + 1/40 = 7/120   120/7 = 17 1/7 days   17 1/7 daysnswer: 17 1/7 days
Answer: A
Determine the value of 62/54 divided by 62/54  Pick one.
A) 0  B) 1  C) 2  D) 3  E) none

Solution: Solution:   Each number divided by itself equals 1.   Answer 1
Answer: B
A train passes a station platform in 30 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?  Choose the correct choice from the following answers:
A) 120 m	B) 240 m	C) 168 m	D) 75 m	E) 60 m

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/30= 15 => x   = 60 m   Answer: 60 m
Answer: E
A and B are two partially filled buckets of water. If 6 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 6 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?  Choose the correct choice from the following answers:
A) 66/5	B) 13	C) 17	D) 21	E) 23

Solution: Let Bucket 66/5 be 66/5 and Bucket B be B   Scenario 1   66/5-6 = 1/3 (B+6) ----> 366/5-18 =B+6   Scenario 2   B-6 = 1/2 (66/5+6) -----> 2B-12 = 66/5+6   From Scenario 1, B = 366/5-24   Substitute B with this information in Stmt 2   2 (366/5-24) -12 = 66/5+6 ------> 666/5 -48-12 = 66/5+6 ------> 666/5- 66/5 = 60+6 ---> 566/5= 66   66/5= 66/5, 66/5nswer choice 66/5
Answer: A
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity W of the pool?  Choose the correct answer.
A) 9000 cubic meters	B) 10500 cubic meters	C) 11750 cubic meters	D) 12000 cubic meters	E) 12500 cubic meters

Solution: D. 12000 cubic meters.   If both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in   (48*120)/(120-48)= 
  (48*120)/(120-48) = 80
80 minutes.   Now, if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120x and also 80 (x+50).   or, 120x= 80 (x + 50).   or x = 100.   Hence, the capacity of pool = 120x = 12000 cubic meters.
Answer: D
What is the smallest number which when diminished by 20, is divisible 15, 30, 45 and 60? Choose the correct option
A) 200
B) 220
C) 240
D) 322
E) 342

Solution: Required Number   = (LCM of 15, 30, 45 and 60) + 20   = 180 + 20= 
180 + 20 = 200
200   Option 200
Answer: A
A train running at the speed of 54 km/hr crosses a pole in 9 sec. What is the length of the train?
Choose the correct choice from the following answers
A) 135 m B) 786 m C) 566 m D) 546 m E) 445 m

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec   Length of the train= speed * time = 15 * 9= 
15 * 9 = 135
135 m   135 mnswer: 135 m
Answer: A
r=2^(n+2), then in terms of r, 9^n=
Pick one
A) r^2/81
B) r^2/16
C) r^2
D) r/3
E) r

Solution: Questions in terms of variables can be easily solved by plugging in some values: Say n = 0   r = 2^2 = 4   and you need the value of 4^n which is 4^0 = 1   So when you put r = 4 in the options, you should get 1. Only option (A) satisfies.   Answer (r^2/16)
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Choose the most appropriate option:
A) s.3624	B) s.4518	C) s.4518	D) s.4530	E) s.4517

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 4 = Rs.3624   s.3624nswer: s.3624
Answer: A
In a Question paper there are 6 multiple choice questions. Each question has 3 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct? Choose the correct choice from the following options:
A) 19  B) 85  C) 748  D) 624  E) 1024

Solution: A candidate can answer the test in 3^6 number of ways (each question has 3 choices and we have total of 6 questions). Now, out of these cases there will be only one case when the candidate answered all the six questions correct. Therefore the total number of ways in which a candidate will NOT get all the six answers correct is 3^6-1=748.   Answer: C.
Answer: D
Nine children — A, B, C, D, E, F, G, H and I — are going to sit in nine chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?  Select:
A) 600  B) 720  C) 80640  D) 84320  E) 84800

Solution: for such questions , we can treat both as one then total person=8..   these 8 can be arranged in 8! ways.. but within these 8 , one consists of two people who can be arranged in 2 ways CF or FC.. so ans =8!*2=80640   ans 80640
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is? Select
A) 100	B) 110	C) 200	D) 130	E) 140

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 10= 
20 * 10 = 200
200 m.   Answer: Option 200
Answer: C
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area Q covered by the two roads?  Select the correct option:
A) 400
B) 1550
C) 1575
D) 1600
E) 1625

Solution: Area 1575overed by Road Along the Length = 5*200= 
5*200 = 1_000
1000 Square Meter   Area 1575overed by Road Along the Width= 5*120= 
5*120 = 600
600 Square Meter   1575ommon Area in both Roads (where the roads intersect)= Square with Side 5 meter = 5*5= 
5*5 = 25
25   Total Area of the Roads Q= 1000+600-25= 
1000+600-25 = 1_575
1575   Answer: option 1575
Answer: C
If abc^2 = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1  Pick one:	A) I	B) II	C) none	D) III	E) I&II

Solution: none
Answer: C
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 8 cm. What is the length of the wire?	Choose the correct choice from the following answers:  A) 16 cm  B) 24 cm  C) 28 cm  D) 36 cm  E) 39 cm

Solution: Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.   π(8)^2 * h = (4/3)π (12)^3 => h   = 36 cm   Answer:36 cm
Answer: D
A man rows his boat 90 km downstream and 70 km upstream, taking 3 hours each time. Find the speed of the stream?	Choose the correct answer.
A) 76 kmph  B) 6 kmph  C) 3.5 kmph  D) 4.5 kmph  E) 4 kmph

Solution: Speed downstream = d/t = 90/(3)= 
90/(3) = 30
30 kmph   Speed upstream= d/t = 70/(3)   = 23 kmph   The speed of the stream = (30 - 23)/2= 
(30 - 23)/2 = 7/2 = around 3.5
3.5 kmph   Answer:3.5 kmph
Answer: C
Claire has a total of 86 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?	Choose the correct option:
A) 39
B) 50
C) 60
D) 54
E) 60

Solution: G+H =86 ...1 ; G/4 +H/3 =25 ....2 OR 3G +4H =25*12= 
25*12 = 300
300   G=86-H OR 3(86-H) +4H =300 H = 300-258= 
300-258 = 42
42 THEN G= 96-42= 
96-42 = 54
54   54
Answer: D
When a positive integer A is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 7, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?  Choose the correct choice from the following choices:
A) 18
B) 36
C) 50
D) 65
E) 77

Solution: A = 11k+1 = 7j+2   B = 11m+1 = 7n+2   A-B = 11(k-m) = 7(j-n)   A-B is a multiple of both 11 and 7, so it is a multiple of 77.   The answer is 77.
Answer: E
How many E ways are there of placing 6 marbles in 4 bowls, if any number of them can be placed in each bowl?  Answers.
A) 6C4 B) 6P4 C) 4^6 D) 6^4 E) 6!

Solution: Each marble has 4 options, so there are total of E=4*4*4*4*4*4=4^6 ways.   Answer: C.   The total number of ways of dividing n identical items among r persons, each one of whom, can receive 0,1,2 or more items is (n+r -1)4^6(r-1).
Answer: C
Wendy begins sanding a kitchen floor by herself and works for 5 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself? Choose the most appropriate option:
A) 9/80 hours
B) 3/20 hours
C) 20/3 hours
D) 80/9 hours
E) 272/35 hours

Solution: Let Wendy finishes sanding the floor alone in W hours while B be the hours for Bruce.   Thus in 1 hour Wendy finishes 1/w of the work while Bruce finishes 1/B of the work.   If wendy works for 5 hours and is then joined by Bruce to finish the work in 2 more hours,   5/W + 2/W+2/B = 1 (1 denotes the total amount of work)   7/W + 2/B =1 and given B =20 hours.   Thus W = 272/35 hours , 272/35 hours is the correct answer.
Answer: E
The floor of a rectangular room is 19 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :	Choose one
A) 144 m2 B) 140 m2 C) 108 m2 D) 158 m2 E) None of these

Solution: Area of the outer rectangle = 23 Ã— 16 = 368 m2   Area of the inner rectangle = 19 Ã— 12 = 228 m2   Required area = (368 â€“ 228) = 140 m2   Answer 140 m2
Answer: B
When a certain number X is divided by 143, the remainder is 21. Which of the following numbers, if added to X, would result in a number divisible by 13?	Pick one.
A) 7
B) 21
C) 5
D) 47
E) 55

Solution: Now X= 143q + 45 = 11*13*q + 21..so we have to make only 21 div by 13..   21 + 5= 
21 + 5 = 26
26 divisible by 13 , add 5   ans 5
Answer: C
In how many ways E can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?  Choose the correct choice
A) 1. 10!/(2! * 3!)  B) 2. 10!/(8! * 7!)  C) 3. 5!/(3! * 2!)  D) 4. (5!)^3/(3! * 2!)  E) 5. 5!/(8! * 7!)

Solution: Ans is D.   Going by the assumtion that both the Bow side and Stroke side will have 5 person each.   Five(3+2) of them had allready been selected(according to their preference), so from the remaining 5 we have to select 2 for the stroke side or 3 for the bow side.   and the 5 crew of each side can be arranged in 5! ways.E   Hence answer is 5C3 * 5! * 5!= (5!)^3/ 3!2!.4. (5!)^3/(3! * 2!)
Answer: D
A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?	Answers.
A) 21093	B) 26667	C) 26888	D) 2668	E) 91971

Solution: 6 1/4% = 1/16   x *15/16 * 15/16 * 15/16 = 21093   x = 25600.24   21093nswer: 21093
Answer: A
How many odd integers between 100 and 300 are there such that their tens digit is even?  Choose the correct choice from the following options
A) 100  B) 200  C) 300  D) 50  E) 75

Solution: I guess the easier way to do this would be.   200 numbers between - 100 and 300   Out of which half would be even, half odd.   Number of odd = 100. Of this.. the one with even tenth digit would be half again. hence 50.   correct option is 50
Answer: D
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 210 games will be played during the tournament. What is the number of participants?
Choose the correct choice from the following answers.
A) 18	B) 19	C) 20	D) 21	E) 22

Solution: Let n be the number of participants.   The number of games is nC2 = n*(n-1) / 2 = 210   n*(n-1) = 420 = 21*20 (trial and error)   The answer is 21.
Answer: D
A polling company found that, of 300 households surveyed, 120 spent at least $100 per month on both gasoline and electricity, 60 spent at least $100 per month on gasoline but not on electricity, and for every household that did not spend at least $100 per month on gasoline or electricity, 4 spent at least $100 per month on electricity but not on gasoline. How many of the 300 households did not spend at least $100 per month on either gasoline or electricity?
Choose the correct choice from the following choices
A) 24
B) 30
C) 36
D) 90
E) 96

Solution: For every household that did not spend at least $100 per month on gasoline or electricity = P ,   4 spent at least $100 per month on electricity but not on gasoline = 4P   Spent = 300 - P   again spent = 60+120+4P   Now,   300 - P = 60+120+4P   or, 5P = 120   or, P = 24 (24nswer)
Answer: A
The H.C.F. of two numbers is 20 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Choose the correct choice from the following options: A) 276 B) 300 C) 299 D) 322 E) 345

Solution: the numbers are (20 x 11) and (20 x 15).   Larger number = (20 x 15) = 300.   ANSWER :300
Answer: B
A water tank is half full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?	Choose the correct answer:
A) 6.5 min.to empty
B) 9 min.to empty
C) 5.5 min.to empty
D) 4 min.to empty
E) 7.5 min.to empty

Solution: Explanation:   Clearly,pipe B is faster than pipe A and so,the tank will be emptied.   part to be emptied = 1/2   part emptied by (A+B) in 1 minute=(1/6-1/10)=1/15   so, the tank will be emptied in 7.5 min   Answer: 7.5 min.to empty
Answer: E
What is the remainder when 1201 × 1202 ×1205 × 1207 is divided by 6?	Choose the correct answer
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: The remainders when dividing each number by six are: 1, 2, 5, and 1.   The product is 1*2*5*1= 
1*2*5*1 = 10
10   The remainder when dividing 10 by 6 is 4.   The answer is 4.
Answer: D
With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?	Choose the most appropriate option:
A) 100  B) 1,000  C) 10,000  D) 100,000  E) None of these

Solution: Explanation: The decimal must be moved four places to the right. To do this, we must multiply by a number with four zeroes. The correct answer is 10,000.The decimal must be moved four places to the right. To do this, we must multiply by a number with four zeroes. The correct answer is 10,000.   Answer : (10,000)
Answer: C
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?	Choose the correct choice from the following choices: A) Rs.1100 B) Rs.1120 C) Rs.1170 D) Rs.1190 E) Rs.1200

Solution: sax Ratio of wages of 20 men, 30 women   and 45 chﬂdren perweek   : (3 x 2o):(2 x 30) (1 x 43) 5   Total wages or 20 men per week   = R5 300   Therefore, wages of a man per week : Rs 15,   sirmlarly, wages of woman per week   : Rs 10 and wages ofchwld perweek Rs 5   Total wages of (15 men, 21 women and 30   chﬂdrenj perweek   = 15x15 + 21x10 + 30x5 = 585   Total wages for 2 weeks = Rs.1170   Rs.1170
Answer: C
Adding 40% of x to x is equivalent to multiplying x by which of the following? Choose the correct choice from the following answers.
A) 12.5
B) 1.05
C) 1.15
D) 1.2
E) 1.4

Solution: 140x/100= 1.4*x   ANSW1.4R:1.4140 /100= 
140 /100 = 7/5 = around 1.4
1.4*x   ANSW1.4R:1.4
Answer: E
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 6 hours, how many machines of type R were used?	Choose the correct choice from the following
A) 2 B) 4 C) 6 D) 9 E) 12

Solution: Rate of machine R =1/36   Rate of machine S =1/18   since same no of machines used for R and S to do the same work in 6 hrs   So collective rate needed to finish the work in 6 hrs= 1/6   Let the no of machine be x   So, x/36 +x/18 =1/6   x3/36=1/6   x=2   So no of machine R is 2   2nswer 2
Answer: A
In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 40 people were made to stand in a column, how many columns could be formed?  Choose the correct choice:	A) 12	B) 14	C) 16	D) 18	E) 20

Solution: 16*30 = 40*n   n = 12   The answer is 12.
Answer: A
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 343, what was his profit?  Pick one:
A) s. 63	B) s. 69	C) s.72	D) s.75	E) s.90

Solution: C.P. = Rs. (100/122.5)x343   = Rs. (1000/1225)x343   = Rs. 280   Profit = Rs. (343 - 280) = Rs. 63.   s. 63nswer:s. 63
Answer: A
3 candidates in an election and received 1136, 7636 and 10628 votes respectively. What % of the total votes did the winning candidate gotin that election?  Pick one.
A) 40%
B) 55%
C) 54.8%
D) 60%
E) 62%

Solution: Total number of votes polled = (1136 + 7636 + 10628)= 
(1136 + 7636 + 10628) = 19_400
19400   So, Required percentage= 10628/19400 * 100 = 54.8%   54.8%
Answer: C
A sum of Rs. 13500 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest? Select
A) 4%
B) 5%
C) 6%
D) 8%
E) 14%

Solution: S.I. = (15500 - 13500) = Rs. 2000/-   Rate = (100 * 2000) / (12500 * 4)= 
(100 * 2000) / (12500 * 4) = 4
4%   4%NSWER:4%
Answer: A
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is? Options.
A) 1	B) 6	C) 7	D) 8	E) 9

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1nswer: 1
Answer: A
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 180 six-ounce servings of orange juice?	Options
A) 15  B) 18  C) 21  D) 24  E) 27

Solution: 1 X 12 ounce can of concentrate + 4 X 12 ounce cans of water = 60 ounces of the mixture.   60 ounces of mixture gives  (60 / 6 )= 
 (60 / 6 ) = 10
10 servings.   Thus 1 x 12 ounce can of concentrate is used to produce 10 servings of the mixture.   To make 180 servings of the mixture, we need 180 / 10= 
180 / 10 = 18
18 cans of the concentrate.   The answer is 18.
Answer: B
How many kilograms of tea powder costing Rs. 31 per kg be mixed with 36 kilograms of tea powder costing Rs. 43 per kg, such that the mixture when sold at Rs. 44 per kg gives profit of 10%?
Choose the correct answer.
A) 12 B) 15 C) 20 D) 10 E) 30

Solution: SP of the mixture = 44, Profit =10%, Then CP = SP*100/110   44*100/110 = Rs. 40 per kg   Using alligation rule, the required ratio =   31 43   \ /   40   / \   3 9   = 1:3   If 36 kg is 3 part then 1 part is 36*1/3= 
36*1/3 = 12
12   12NSWER:12
Answer: A