MU-NLPC/Calc-aqua_rat huggingface dataset:
Calculate the least possible number of vans needed to transport 280 students, given that each van can only take 12 students each?	Options.
A) 23 B) 22 C) 21 D) 20 E) 24

Solution: To find the number of vans, we divide 280 by 12.   280/12 = 23 and remainder = 4   So 23 vans are needed to transport 276 students, and 1 van is needed to transport the 4 remaining students. A total of 24 vans are needed.   correct answer 24
Answer: E
If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?	Choose the most appropriate option.
A) -f(x) B) f(x) C) 2*f(x) D) 1/f(x) E) 2/f(x)

Solution: If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)   answer -f(x)
Answer: A
The function f is defined for all positive integers u by the following rule. f(u) is the number of positive integers each of which is less than u and has no positive factor in common with u other than 1. If p is any prime, number then f(p)=  Pick one:
A) (p+1)/2	B) p-2	C) p-1	D) (p-1)/2	E) 2

Solution: If not the wording the question wouldn't be as tough as it is now. The GMAT often hides some simple concept in complicated way of delivering it.   This question for instance basically asks: how many positive integers are less than given prime number p which have no common factor with p except 1.   Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).   For example: if p=5 how many numbers are less than 5 having no common factors with 5: 1, 2, 3, 4, --> 5-1=4.   Answer: p-1.
Answer: C
Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 600 pounds of the seed mixture?
Pick.
A) 12 B) 15 C) 20 D) 24 E) 120

Solution: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.   Thus we need 40 pounds of mixture per acre.   600 / 40= 
600 / 40 = 15
15 acres   The answer is 15.
Answer: B
If Jan spent 40% of her monthly income on housing and 20% less than she spent on housing on a car payment, what percent of her monthly income did she have left after making both her housing payment and her car payment?
Answers.
A) 20%
B) 28%
C) 42%
D) 50%
E) 60%

Solution: Lets say the total income of Jan is 100   Then   She spends 40 on Housing   20% less than she spent on Housing = 40−20/100∗40=3240−20/100∗40=32   Total expenditure = 40 + 32= 
40 + 32 = 72
72   Remaining= 100 - 72= 
100 - 72 = 28
28   Hence the answer is 28% 28 %
Answer: B
The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?  Choose one.
A) kmph B) kmph C) kmph D) kmph E) kmph

Solution: Speed downstream = 70 + 20= 
70 + 20 = 90
90 kmph   Speed upstream= 70 - 20= 
70 - 20 = 50
50 kmph   Answer:kmph
Answer: D
If v, w, x, y, and z are positive integers, which of the following could not become a terminating decimal? Pick one:
A) 33/2^(4x) B) 34/5^(2y) C) 35/100^z D) 36/4^w E) 37/3^(5v)

Solution: Knowledge of Decimal equivalent Fractions will work wonders here , no need to consider the Numerator part   1/ 2= 
1/ 2 = 1/2 = around 0.5
0.50 ( Terminating )   1/5= 
1/5 = 1/5 = around 0.2
0.20 ( Terminating )   1/100= 
1/100 = 1/100 = around 0.01
0.01 ( Terminating )   1/4= 
1/4 = 1/4 = around 0.25
0.25 ( Terminating )   1/3= 0.33 ( Non Terminating )   Check the above rule with any higher powers the result will be same.....   Among the given options only (37/3^(5v)) has a non terminating denominator , so this will be our answer..
Answer: E
A mixture of 125 gallons of wine and water contains 20% of water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture? Choose the correct answer:  A) 8.33  B) 8.39  C) 8.36  D) 8.31  E) 8.32

Solution: Explanation:   Initially water in the mixture = 20%(125) = 25   Let x gallons of water be added to change to water concentration to 25% or 1/4   ⇒25+x125+x=14⇒25+x125+x=14   ⇒x=253⇒x=253 = 8.33 gallons.   8.33nswer:8.33
Answer: A
Two trains started from the same point. At 8:00 am the first train traveled East at the rate of 80 mph. At 9:00 am, the second train traveled West at the rate of 100 mph. At what time were they 530 miles apart? Choose the correct answer
A) 11:30 am B) 10:30 am C) 8:30 am D) 7:30 am E) 9:30 am

Solution: When the first train has traveled for t hours the second train will have traveled (t - 1) hours since it started 1 hour late. Hence if D1 and D2 are the distances traveled by the two trains, then   D1 = 80 t and D2 = 100 (t - 1)   Since the trains are traveling in opposite direction, the total distance D between the two trains is given by   D = D1 + D2 = 180 t - 100   For D to be 530 miles, we need to have   180 t - 100 = 530   Solve for t   t = 3 hours 30 minutes.   8 am + 3:30 = 11:30 am   11:30 amnswer 11:30 am
Answer: A
What will come in place of the x in the following Number series? 1. 0, 6, 24, 60, 120, 210, x
Choose the correct option
A) 336 B) 350 C) 380 D) 430 E) 450

Solution: (336)   The given series is : 13 – 1, 23 – 2, 33 – 3, 43 – 4, 53 – 5, 63 – 6,   So the missing term = 73 – 7 = 343 – 7 = 336
Answer: A
The average age of a husband and a wife is 23 years when they were married SIX years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Choose the correct choice from the following choices
A) 7 years B) 9 years C) 6 years D) 4 years E) 2 years

Solution: 29 * 2= 
29 * 2 = 58
58   20 * 3= 
20 * 3 = 60
60   -----------   2 years   Answer: 2 years
Answer: E
An article cost is Rs 912 after decreasing 24%. So find the actual cost of the article? Choose the most appropriate option
A) 1200	B) 1500	C) 1300	D) 1000	E) 1700

Solution: CP* (76/100) = > 912   CP = 12*100= 
12*100 = 1_200
1200   1200NSWER 1200
Answer: A
Six machines at a certain factory operate at the same constant rate. If five of these machines, operating simultaneously, take 42 hours to fill a certain production order, how many fewer hours does it take all six machines, operating simultaneously, to fill the same production order?
Pick one
A) 4  B) 6  C) 7  D) 9  E) 12

Solution: The total work is 5*42= 
5*42 = 210
210 machine hours   The time required for six machines is  210/6= 
 210/6 = 35
35 hours, thus 7 fewer hours.   The answer is 7.
Answer: C
Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color? Choose one: A) 4 B) 8 C) 12 D) 14 E) 16

Solution: The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.   Answer: 14.
Answer: D
Salaries of Rajesh and Sunil are in the ratio of 2 : 3. If the salary of each one is increased by 4000 the new ratio becomes 40 : 57. What is Sunil’s present salary?
Choose the most appropriate option
A) 17000
B) 20000
C) 25500
D) Cannot be determined
E) None of these

Solution: Let the salaries of Rajesh and Sunil be 2x and 3x respectively.   Then, 2x+4000/3x+4000=40/57   or, 114x + 228000 = 120x + 160000   or, 6x = 68000   or, 3x = 34000   Answer None of these
Answer: E
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 12 pumps work to empty the tank in 1 day?	Choose the correct answer:  A) 4  B) 10  C) 11  D) 12  E) 13

Solution: 3 pumps take 16 hrs total (8 Hrs a day)   If 1 pump will be working then, it will need   16*3= 
  16*3 = 48
48 hrs   1 pump need 48 Hrs   If I contribute 12 pumps then     48/12= 
  48/12 = 4
4 hrs.   answer :4
Answer: A
The sides AB, BC & CA of a triangle ABC have 3, 4 and 5 interior points respectively on them. Find the number of triangles that can be constructed using these points as vertices.
Choose the correct choice from the following answers
A) 220.
B) 205.
C) 250
D) 105
E) 225

Solution: different ways..   1) EASIEST approach..   lets see how many total can be made if none of the points were colliner that is NO three were in one line = 12C3 = 12!/9!3! = 220...   Due to collinear, extra triangles considered above = 3C3 + 5C3 +4C3 = 1+10+4 = 15..   total = 220-15= 
220-15 = 205
205   ANSWER:205.
Answer: B
A stationary engine has enough fuel to move 12 hours when its tank is 4/5 full, how much
hours will it run when the tank is 1/3 full	Choices:
A) 3 hours B) 4 hours C) 5 hours D) 6 hours E) 7 hours

Solution: when engine is (4/5) full,it moves for 12 hr   so, when tank is full, it will move = 12/(4/5)= 
12/(4/5) = 15
15 hr   So, when it is 1/3 full, it will move= 15*(1/3)= 
15*(1/3) = 5
5 hours   ANSWER:5 hours
Answer: C
Miguel is 46 years old. He is 6 years older than thrice his son’s age. Find the age of his son.  Answers
A) 11years
B) 12years
C) 13years
D) 14years
E) 15years

Solution: sons age=x   46-3x=6   x=13years   ANSWER:13years
Answer: C
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter	Choose the most appropriate option.
A) 2,145  B) 6,435  C) 12,100  D) 2420  E) 25,740

Solution: Since we are given atleast one symmetric letter in the three letter word we can take the following cases   1. All two   2. One symmetry and other two non   4. All the two letters can be arranged in 2 ways   ( 11c2+ 11c1 * 15c2) *2   ( 11*10/ 2 + 11 * 15 * 14 / 2 ) * 2   2420   IMO option D is the correct answer..   OA please...will correct if I missed anything..2420
Answer: D
If each edge of cube increased by 50%, the percentage increase in Answers:	A) 100	B) 114	C) 115	D) 125	E) 105

Solution: 100 × (150)/100 × (150)/100 = 225 => 125%   Answer is 125.
Answer: D
What is the simplified result of following the steps below in order?
(1)	add 5y to 2z
(2)	multiply the sum by 3
(3)	subtract z + y from the product Choose the correct option:	A) 5z + 14y	B) 5x + 16y	C) 5x + 5y	D) 6x + 4y	E) 3x + 12y

Solution: 3(5Y+2Z) -Z-Y= 14Y+5Z   '5z + 14y' is the answer
Answer: A
In paper A, one student got 18 out of 70 and in paper B he got 14 out of 30. In which paper he did fare well? Choose the correct option.
A) 46.6	B) 46.9	C) 46.7	D) 46.2	E) 46.1

Solution: Find the percentages. Paper 46.6 = 18/70 x 100 = 25.7   Paper B = 14/30 x 100 = 46.6   46.6nswer:46.6
Answer: A
A parallelogram has a base that is four time the size of it's height. The total area of this parallelogram is 2,304 Sq ft. What is the height of the parallelogram?  Options:	A) 19	B) 23	C) 24	D) 16	E) 17

Solution: 4x * x = 2304 => x   = 24   Answer: 24
Answer: C
A certain number X when divided by 233 leaves a remainder of 87. Which of the following can be subtracted from X to make X divisible by 91?
Choose the correct choice from the following answers: A) 17 B) 27 C) 37 D) 47 E) 57

Solution: Least possible value of the number is 233 + 87= 
233 + 87 = 320
320   Further it is given the number must be divisible by 91 .   320/91= Gives remainder as 47   So, 47 must be subtracted from the number , answer is (47)
Answer: D
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices
A) 40 sec	B) 42 sec	C) 45 sec	D) 48 sec	E) 50 sec

Solution: Explanation:   Formula for converting from km/hr to m/s: X km/hr =(X x 5/8)m/s.   Therefore, Speed =(45 x5/18)m/sec	=	25/2 m/sec.   Total distance to be covered = (360 + 140)= 
(360 + 140) = 500
500 m.   Formula for finding Time=(Distance/Speed)   Required time =(500x 2 / 25)sec	= 40 sec.   40 secNSWER IS 40 sec
Answer: A
S is a set containing 7 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? Answers.
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 prime.
Answer: A
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 108 kmph and 72 kmph. In how much time will the trains cross each other?	Options:
A) 8
B) 7
C) 9
D) 2
E) 1

Solution: Relative speed = (108 + 72)* 5/18= 
(108 + 72)* 5/18 = 50
50 mps.   The time required= d/s = (100 + 100 + 200)/50   = 400/50= 
400/50 = 8
8 sec.   8nswer:8
Answer: A
What is the probability of getting a number less than 4 when a die is rolled? Choose the correct choice from the following options:
A) 1/3
B) 1/4
C) 1/5
D) 1/6
E) 1/2

Solution: Total number of outcomes possible when a die is rolled = 6 (âˆµ any one face out of the 6 faces)n(S) =6   1/2 = Getting a no less than 4 = {1,2,3}   hence n(1/2) = 3   P(1/2) = n(1/2)/n(S) = 1/2   ANSW1/2R 1/2
Answer: E
A train 110 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?	Answers.
A) 5	B) 6	C) 7	D) 8	E) 9

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 = 110 * 3/55= 
110 * 3/55 = 6
6 sec.   Answer: Option 6
Answer: B
Which of the following correctly lists the data sets in order of least to greatest standard deviation?
I. 56, 56, 56, 56, 56, 56
II. 5, 7, 16, 18, 25, 32
III. 6,7,8,9,10,11,12 Choose the correct option.
A) I, II, III
B) I, III, II
C) II, I, III
D) I, III, II
E) III, II, I

Solution: out of three given sets,   I has all numbers same, so it has zero standard deviation hence it is Least   only answer choices C and E have I in least position.   Out of I ans III   III has consecutive numbers , hence all are closedly spaced hence std deviation will be less   while in II,numbers are spread widely hence std deviation should be more than III   hence order should be I, III,II   IMO I, III, II
Answer: D
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.24, find the sum of money?
Choose the correct choice from the following answers
A) 288	B) 262	C) 72	D) 123	E) 267

Solution: A:B:C = 100:65:40   = 20:13:8   8 ---- 24   41 ---- ? => Rs.123   Answer: 123
Answer: D
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 10 hrs and a machine of type S does the same job in 5 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?	Choose the correct option:
A) A)3
B) B)4
C) C)6
D) D)9
E) E)12

Solution: Rate of machine R =1/10   Rate of machine S =1/5   since same no of machines used for R and S to do the same work in 2 hrs   So collective rate needed to finish the work in 2 hrs= 1/2   Let the no of machine be x   So, x/10 +x/5 =1/2   3x/10=1/2   x=30/5= 
30/5 = 6
6   So no of machine R is 6   Answer 6
Answer: C
A and B can finish a work in 14 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?	Answers.
A) 33 1/3 days B) 35 2/3 days C) 33 2/3 days D) 31 2/3 days E) 32 2/3 days

Solution: B = 1/14 – 1/24 = 5/168   => 168/5 days   =>33 2/3 days   ANSWER:33 2/3 days
Answer: C
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 12 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?	Choices
A) 3 B) 4 C) 6 D) 9/2 E) 12

Solution: yes there is a typo in the question, I got the same ques on my GMAT PREP last week, and the questions goes as:   A company has two types of machines,type R and type S.Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 12 hours .If the company used the same number of each type of machine to do job in2 hours,how many machine R were used?   So for a job to be done in 2 hours R = 1/2   R_a(Rate of Machine R) = 1/36   R_s(Rate of Machine S) = 1/12   Lets say x machines are used to attain the desired rate, thus   x/36+x/12 = 1/2 (Desired R =1/2 i.e. to complete the job in 2 hours)   (x+3x)/36 = 1/2   4x/36 = 1/2   x = 9/2.   QA = 9/2 (ANSWER 9/2)
Answer: D
Subtracting 10% from X is the same as multiplying X by what number?	Choose one
A) 97%  B) 90%  C) 80%  D) 98%  E) 20%

Solution: X - (10/100) X = X * ?   ? = 90%   Answer: 90%
Answer: B
A bag contains 6 red, 5 blue and 2 green balls. If 2 balls are picked at random, what is the probability that both are red?
Choose the correct choice from the following answers:
A) 2/13  B) 3/17  C) 5/26  D) 5/21  E) 7/15

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
How many words, with or without meaning, can be formed using all letters of the word SHARP using each letter exactly once? Pick
A) 90 B) 100 C) 110 D) 120 E) 130

Solution: The Word SHARP has exactly 5 letters which are all different.   Therefore the number of words that can be formed = Number of permutations of 5 letters taken all at a time.   = P (5, 5) = 5!   = 5 x 4 x 3 x 2 × 1   = 120   ANSWER:120
Answer: D
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 210 girls, the total number of students in the college is? Pick one
A) 562 B) 356 C) 452 D) 416 E) 546

Solution: Let the number of boys and girls be 8x and 5x   Then , 5x = 210   x= 42   Total number of students = 13x = 13*42= 
13*42 = 546
546   Answer is 546
Answer: E
Which one of the following is a composite number? Choose the correct choice from the following options.
A) 31
B) 61
C) 71
D) 73
E) 55

Solution: 55 is divisible by 5,11,55. So, it a composite number.   55
Answer: E
Akash leaves Chennai at 6am & reaches Bangalore at 10am. Prakash leaves Hyderabad at 8 am and reaches Chennai at 11:30 am. At what time do they cross each other?  Options.
A) 5 : 54am
B) 6 : 56am
C) 8 : 56am
D) 9 : 56am
E) 10 : 26am

Solution: Time taken by Akash = 4 h   Time taken by Prakash = 3.5 h   For your convenience take the product of times taken by both as a distance.   Then the distance = 14km   Since, Akash covers half of the distance in 2 hours(i.e at 8 am)   Now, the rest half (i.e 7 km) will be coverd by both prakash and akash   Time taken by them = 7/7.5 = 56 min   Thus , they will cross each other at 8 : 56am.   8 : 56am
Answer: C
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choose the correct option.
A) 12
B) 15
C) 21
D) 36
E) 42

Solution: Since here order of socks is not important then we'll have 7C2 i.e. 21 combinations.   If order is important then we would have got 42 socks...   ANS option 21 is correct answer..
Answer: C
if the average of 6 consecutive number is 27, then the largest of the number is?	Choose the correct answer
A) 27.5
B) 28.5
C) 29
D) 29.5
E) 30

Solution: x+x+1+x+2+x+3+x+4+x+5/6=27   6x+15=162   x=24.5   x+5=29.5   ANSWER:29.5
Answer: D
Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?  Answers:
A) Rs. 1100
B) Rs. 500
C) Rs. 1200
D) Rs. 700
E) None of these

Solution: Explanation:   Let the amounts to be received by P, Q and R be p, q and r.   p + q + r = 1200   p = 1/2 (q + r) => 2p = q + r   Adding 'p' both sides, 3p = p + q + r = 1200   => p = Rs.400   q = 1/3 (p + r) => 3q = p + r   Adding 'q' both sides, 4q = p + q + r = 1200   => q = Rs.300   r = 1200 - (p + q) => r = Rs.500.   ANSWER IS Rs. 500
Answer: B
For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 5| + |-b| + |b – a| + |ab| =
Choose the correct choice from the following options:
A) a-b  B) 2a-2b  C) 2a-2b-5  D) ab + 2b + 5  E) a-b-5

Solution: Observation-1: |a – b| = b – a   which is possible only when signs of a and b are Same   Since Given a > 0   so we figure out that a and b are both positive   Observation-2: |a – b| must be Non-Negative and so should be the value of b-a which is possible only when absolute value of b is greater than or equal to absolute value of a   Now you may choose the values of a and b based on above observations   e.g. b = 5 and a=1 and check the value of given functions and options   |a + 5| + |-b| + |b – a| + |ab| = |1 + 5| + |-5| + |5 – 1| + |1*5| = 20   ab + 2b + 5= 1*5+10+5= 
1*5+10+5 = 20
20   all other options are not equal to 20   Answer : ab + 2b + 5
Answer: D
In a can, there is a mixture of milk and water in the ratio 1 : 5. If it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 2 : 5. Find the capacity of the can? Answers
A) 14 B) 44 C) 48 D) 50 E) 56

Solution: Let the capacity of the can be T litres.   Quantity of milk in the mixture before adding milk = 1/6 (T - 2)   After adding milk, quantity of milk in the mixture = 2/7 T.   2T/7 - 2 = 1/6(T - 2)   5T = 84 - 14 => T = 14.   14nswer:14
Answer: A