MU-NLPC/Calc-aqua_rat huggingface dataset:
The average age 8 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? Choices:
A) 12 years  B) 14 years  C) 18 years  D) 16 years  E) 26 years

Solution: 8 * 2= 
8 * 2 = 16
16 years   ANSWER:16 years
Answer: D
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?  Choose the correct option:
A) 7
B) 4
C) 6
D) 9
E) 3

Solution: 65*(90/100)*((100-x)/100) = 56.16   x = 4%   Answer: 4
Answer: B
Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 40 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel? Choices:  A) 54  B) 110  C) 120  D) 16  E) 180

Solution: 120   120   It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 40 MPH = 120 miles
Answer: C
Two trains travel in the same direction at the speeds of 56km/hr. and 29km/hr. respectively. The faster train passes a man in the slower trains in 10 seconds. The length of the faster train (in metres) is Choose the correct answer.
A) 100 B) 80 C) 75 m D) 120 E) 130

Solution: Explanation:   The relative speed is 56-29 Km/hr =(27/18) X 5= 7.5 m/s2718×5=7.5m/s   The faster train travels only the length of it’s own = 7.5 x 10 = 75 m   Answer 75 m
Answer: C
For a,r,d are the positive integers, and d|a means that “a is divisible by d”, if d|ar, which of the following must be true?  Answers.
A) d|a
B) d|r
C) d|2ar
D) d|(a+r)
E) d|(a-r)

Solution: d/a means a is divisible by d   d/ar means ab divisible by d.   all are integers so ,   if ar is divisible by d,   1 a can be divisible by d   or   2 r can be divisble by d.   so the question stem asks must true.   so option a and b are could but not must.   option c is 2ar divisible by d. if ab is divisible by d then 2ar is divisible by d.   option d and e we can't predict.   so option d|2ar is correct.
Answer: C
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?	Choose the correct answer:  A) 0  B) 1  C) 2  D) 4  E) 5

Solution: Explanation:   Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.   x = 5k + 3   x2 = (5k + 3)2   = (25k2 + 30k + 9)   = 5(5k2 + 6k + 1) + 4   On dividing x2 by 5, we get 4 as remainder.   ANSWER IS 4
Answer: D
There are 13 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station? Choose the correct choice from the following answers
A) 288 B) 267 C) 261 D) 211 E) 210

Solution: The total number of stations = 15   From 15 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 15P₂ ways.   15P₂ = 15* 14= 
15* 14 = 210
210.   Answer: 210
Answer: E
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance travelled by them if the slower car takes 1 hour more than the faster car. Choose the correct choice from the following answers:
A) 900
B) 950
C) 960
D) 1000
E) 930

Solution: 60(x + 1) = 64x   X = 15   60 * 16= 
60 * 16 = 960
960 km   ANSWER 960
Answer: C
Walking with 5/4 of my usual speed, I miss the bus by 5 minutes. What is my usual time?  Choose the correct choice from the following choices:  A) 18  B) 19  C) 20  D) 22  E) 24

Solution: Speed Ratio = 1:5/4 = 4:5   Time Ratio = 5:4   1 -------- 5 4 --------- ? è 20   ANSWER:20
Answer: C
Morgan Construction has 4 Senior Managing Directors and 4 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Constuction possibly provide guidance for?	Pick.
A) 16  B) 36  C) 52  D) 54  E) 64

Solution: P(at least 1 S D) = P(Total) - P(0 Senior Director)   =8523 - 4523   = 52
Answer: C
The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 15 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.
Options.
A) $0.94 B) $0.96 C) $0.98 D) $1.02 E) $1.20

Solution: Assume the manager bought 100 tomatoes.   Cost Price = 80   Given: 15% are damaged --> Available tomatoes to sell = 85   85 * x - 80 = 0.08 * 80   85x - 80 = 6.4   85x = 86.64   x = 86.64/85 = 87/85 (approx) = 1.023   x is slightly under 1.023 = 1.02   Answer: $1.02
Answer: D
A clock shows the time as 7 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.? Choose the correct choice from the following answers.
A) 45 minutes B) 55 minutes C) 35 minutes D) 25 minutes E) 40 minutes

Solution: there are 11 hours in between 7 a.m. to 6 p.m.   11*5= 
11*5 = 55
55 minutes.   ANSWER:55 minutes
Answer: B
Two persons starting from the same place walk at a rate of 5kmph and 8kmph respectively. What time will they take to be 27km apart, if they walk in the same direction?
Choose the correct choice:
A) 17 hrs B) 9 hrs C) 25 hrs D) 12 hrs E) 14 hrs

Solution: The relative speed of the boys = 8kmph â€“ 5kmph   = 3 kmph   Distance between them is 27 km   Time= 27km / 3 kmph = 9 hrs   Answer : 9 hrs.
Answer: B
As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?	Choose the correct answer.
A) 14  B) 18  C) 15  D) 10  E) 20

Solution: E   20   If the beggar can make a whole cigarette from 6 butts then he can make 12 cigarettes from the 72 he found. Once he smokes those, he then will have another 12 butts, which gives him enough to make another 2 cigarettes. 14 total of 14.
Answer: A
The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.910. The perimeter of the plot is?  Choose the correct choice from the following answers.
A) 126
B) 156
C) 190
D) 140
E) 260

Solution: Sol. Let width = x, Length = (10+x)   Perimeter = 2(x+(10+x))   = 2(2x=10)   & 2(2x+10)*6.5 = 910   X = 30   Required perimeter = 2(30+40) = 140   140
Answer: D
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code?  Options:
A) A)6!
B) − (3! + 2!)
C) − (3! × 2!)
D) + 2!)
E) × 2!)

Solution: Number of letters in word 'BANANA' = 6.   The letters 'A' and 'N' appear 3 times and 2 times respectively in the word 'BANANA'.   Therefore the mathematical solution for number of ways that the letters of the word BANANA can be arranged to create six-letter code   = 6!/(3!*2!)   Answer: × 2!)
Answer: E
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is? Choose the correct choice from the following options
A) Rs. 2.50
B) Rs. 3
C) Rs. 3.75
D) Rs. 4
E) Rs. 5

Solution: S.I. = (1200 * 10 * 1)/100 = Rs. 120   C.I. = [1200 * (1 + 5/100)2 - 1200] = Rs. 123 Difference = (123 - 120) = Rs. 3.   ANSWER:Rs. 3
Answer: B
what is the probability of drawn an ace or a space or both from a dew of cards.  Pick one:	A) 14/52	B) 15/52	C) 16/52	D) 17/52	E) 18/52

Solution: There are 13 spades in a standard deck of cards.   There are four aces in a standard deck of cards.   One of the aces is a spade.   So, 13 + 4 - 1 = 16 spades or aces to choose from.   Since we have a total of 52 cards, the probability of selecting an ace or a spade is 16 / 52   ANSWER:16/52
Answer: C
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 4 rounds per hour and 4 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Choose the correct answer: A) A)5 B) B)6 C) C)8 D) D)12 E) E)9

Solution: Relative speed = 4 + 4= 
4 + 4 = 8
8 rounds per hour.   So, they cross each other 8 times in an hour and 4 times in half an hour.   Hence, they cross each other 12 times before 9.30 a.m.   ANSWER:12
Answer: D
There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choose the correct choice.
A) 200  B) 220  C) 380  D) 240  E) 250

Solution: Explanation:   The total number of stations = 20   From 20 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in ²⁰P₂ ways.   ²⁰P₂ = 20 * 19= 
20 * 19 = 380
380   380
Answer: C
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m?	Choose the correct choice from the following answers.
A) 22377  B) 27782  C) 28000  D) 25000  E) 18771

Solution: 28 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x   28 = 1/100 * x => x = 28000   Answer: 28000
Answer: C
36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is	Choose the correct choice from the following.
A) 11
B) 12
C) 13
D) 15
E) 18

Solution: if we take person a1 in the set then it will cover a36 and a2 for shaking hand.similarly if we take person a4 in the set then it will cover a5 and a3 for shaking hand and so on, so minimum 12 persons are required.   ANSWER:12
Answer: B
A sports equipment store sold ping pong rackets for a total of $686. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold? Choose the correct answer:
A) 50
B) 100
C) 70
D) 500
E) 980

Solution: Average price for a pair of rackets = $9.8   Total cost = $9.8*x = $686   x = 70 pairs were sold.   ANSWER:70
Answer: C
Which of the following fractions is greater than 4/5 and less than 9/10?
1. 4/5 2. 9/10 3. 1/2 4.3/4 5. 3/5 6. 8/9  Choose one.
A) 4/5	B) 9/10	C) 1/2	D) 3/4	E) 3/5

Solution: 4/5= 
4/5 = 4/5 = around 0.8
0.80, 9/10= 0.90, 1/2= 0.5, 3/4= 0.75, 3/5=0.66, 1/10= 0.1.   Clearly, 0.75 lies between 0.80 and 0.90.   Therefore, 3/4 lies between 4/5 and 9/10.   Answer is 3/4.
Answer: D
An bus covers a certain distance at a speed of 100 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?  Pick
A) 500 km/hr  B) 640 km/hr  C) 656 km/hr  D) 731 km/hr  E) 720 km/hr

Solution: Distance = (100 x 5) = 500 km.   Required speed = 500 km/hr.   500 km/hr
Answer: A
If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?	Pick: A) 1 day B) 2 days C) 3 days D) 4 days E) 5 days

Solution: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m   No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.   Option '1 day'
Answer: A
The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 288 metres, what is its area?
Choose the most appropriate option
A) 1320 sq.metres B) 3260 sq.metres C) 4280 sq.metres D) 5040 sq.metres E) None of these

Solution: Let the length and breadth be 7x and 5x respectively.   Then, P = 2(7x + 5x) = 288 â‡’ x = 12   Area = 7 Ã— 12 Ã— 5 Ã— 12 = 5040 sq.m.   Answer 5040 sq.metres
Answer: D
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 39 minutes, then the slower pipe alone will be able to fill the tank in
Choose the correct choice
A) 144 mins  B) 140 mins  C) 136 mins  D) 156 minw  E) None of these

Solution: Explanation:   Let the slower pipe alone fill the tank in x minutes   then faster will fill in x/3 minutes.   Part filled by slower pipe in 1 minute = 1/x   Part filled by faster pipe in 1 minute = 3/x   Part filled by both in 1 minute =   1/x+3/x=1/39   =>4/x=1/39   x=39∗4=156 mins   Option 156 minw
Answer: D
If each year the population of the country grows by 100%, how many years will elapse before the population of the country doubles? Choose the correct choice from the following answers:	A) 1	B) 4	C) 5	D) 6	E) 7

Solution: Till Year 2010, population is 100 .   Year 2001: Population becomes 200 ............. 1 Year elapsed   1nswer:1
Answer: A
If a and b are both odd numbers, which of the following is an even number? Choose the correct choice from the following answers:
A) a + b
B) a + b + 1
C) ab
D) ab + 2
E) NOne

Solution: Sol.   Sum of two odd numbers is always even.   a + bnswer a + b
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? Answers:
A) 876 m  B) 157 m  C) 245 m  D) 156 m  E) 167 m

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 m
Answer: C
If a and b are multiples of 6 then which are all the multiples of 6
1) a*b
2) a^b
3) a/b
4) a-b
5) a+b	Choose the correct choice from the following answers.
A) 1,2,4,5
B) 2,3,4,5
C) 1,3
D) all of these
E) 1,2,5

Solution: a*b a^b a+b a-b are multiples of 6 except a/b   1,2,4,5NSWER:1,2,4,5
Answer: A
A committee of 3 persons is to be formed from 3 company secretaries, 4 economists and 2 chartered accountant. What is the probability that each of the three professions is represented in the committee?
Choose the correct choice from the following answers
A) 1/3 B) 3/28 C) 1/14 D) 4/28 E) 3/14

Solution: 3/9*4/8*2/6*3! = 1/3 We are multiplying by 3! because we can choose secretary,economist, and accountant is several way:   1/3nswer: 1/3.
Answer: A
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?	Select:
A) 4 years B) 8 years C) 10 years D) 20 years E) None of these

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20   x = 4.   4 yearsge of the youngest child = x = 4 years.
Answer: A
It takes John 15 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.? Choose the correct answer:	A) 7:40	B) 6	C) 4	D) 5	E) 6:45

Solution: The time it takes John to get to work: time to walk to car park + time to drive   15 + 45 = 70 minutes = 1 hour and 10 minutes   John needs to get out of the house 1 hour and 10 minutes before 9:00 am at   9:00 - 1:10 = 7:40 a.m.   7:40
Answer: A
1⁄5 + 1⁄7 + 2⁄3 = ?  Choices
A) 1 1⁄105 B) 104⁄105 C) 1 1⁄7 D) 1 2⁄105 E) None of these

Solution: 1⁄5 + 1⁄7 + 2⁄3 = ?   or, ? = 21+15+70/105=106/105=1 1/105   1 1⁄105nswer 1 1⁄105
Answer: A
Julie and his friends wants to play Team Carrom board. Julie has 7 friends.In how many possible ways to divide into team?  Select.
A) 282 B) 521 C) 100 D) 105 E) 90

Solution: This question is little different from other question.The sentence "julie has 7 friends and they need to play Team carrom",Here they describes both julie and her 7 friends. so 8 members are there to play to carrom.   The question is How many different ways can the group be divided into 4 teams of 2 people?   Group = A(julie) B C D E F G H. Again, A must be on a team--there are 7 possibilities. For each of those possibilities, there are 15 ways of dividing the remaining 6 members into 3 teams. So total possibilities = 7 * 15= 
7 * 15 = 105
105.   The answer is Option 105
Answer: D
The salaries of A and B together amount to $7000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?	Choose the correct choice from the following answers:
A) $1000 B) $5250 C) $2500 D) $4500 E) $1200

Solution: Let A's salary is x   $5250's salary = 7000-x   (100-95)% of x = (100-85)% of (7000-x)   x = $5250   Answer is $5250
Answer: B
Line J has a y-intercept of 9 and passes through point (a,b). What is the slope of Line J in terms of a and b?  Pick one.
A) (a−6)/b	B) (a−b)/6	C) (b-9)/a	D) (6−b)/a	E) (b−6)/a

Solution: You know that the line goes through point (a,b) and the y-intercept of 9 tells you that the line also goes through point (0,9).   slope m = (y-y1)/(x-x1) = (b-9)/(a-0)= (b-9)/a   (b-9)/a
Answer: C
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?  Choose the correct choice from the following answers.
A) 5  B) 7  C) 8  D) 9  E) 10

Solution: Total number of outcomes possible, n(S) = 10 + 25= 
10 + 25 = 35
35   Total number of prizes, n(10)= 10   10)
Answer: E
A train traveling with constant speed crosses a 90m long platform in 12 seconds and a 120m long platform in 15 seconds.Find the length of the train and its speed.  Choose one:	A) 30	B) 40	C) 60	D) 50	E) NOne

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 12 => y = x/12   (x + 90)/12 = x+120/15 => x = 30 m.   30nswer:30
Answer: A
Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
Choose the correct choice from the following options:
A) 120
B) 350
C) 700
D) 2,520
E) 5,040

Solution: Number of ways to choose 2 colors among 5 - 5c2   Number of ways that the chosen colors can be painted for 7 horizontal stripes - 2 (either (4,3) or (3,4))   Now the order,   the number of ways in which a particular color among the 2 chosen colors can be painted for 4 stripes is - 7c4   [Note: We don't need to calculate the ways for the remaining 3 stripes as they are obvious and already counted under this]   Total number of combinations - 5c2 * 2* 7c4 = 700 ANS:700
Answer: C
In a race where 18 cars are running, the chance that car X will win is 1/8, that Y will win is 1/12 and that Z will win is 1/6. Assuming that a dead heat is impossible, find the chance that one of them will win.  Choose one:
A) 1/140  B) 1/180  C) 3/12  D) 3/8  E) 57/120

Solution: Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).   = 1/8 + 1/12 + 1/6   = 3/8   ANSWER:3/8
Answer: D
A starts business with Rs.4500 and after 7 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bâ€™s contribution in the Capital ?	Choose the correct choice from the following options: A) 24887 B) 20778 C) 16200 D) 9000 E) 2811

Solution: Explanation:   A invested Rs.3500 for 12 months.   Let B joined with investment x. And he invested for 12 - 7= 
12 - 7 = 5
5 months.   So there profit ratio= (4500 Ã— 12) : (5x) = 2 : 3   â‡’ x = 16200   Answer: 16200
Answer: C
How many keystrokes are needed to type the numbers from 1 to 1500? Choose the most appropriate option: A) 2805 B) 3224 C) 3897 D) 4562 E) 4893

Solution: There are 9 one-digit numbers from 1 to 9.   There are 90 two-digit numbers from 10 to 99.   There are 900 three-digit numbers from 100 to 999.   There are 501 four-digit numbers from 1000 to 1500.   9 + 90(2) + 900(3) + 501(4) = 4893   The answer is 4893.
Answer: E
A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio T of milk and water in the resultant mixture?  Select:
A) 17 : 3	B) 9 : 1	C) 3 : 17	D) 5 : 3	E) 11: 2

Solution: he 20 litre mixture contains milk and water in the ratio of 3 : 2. Therefore, there will be 12 litres of milk in the mixture and 8 litres of water in the mixture.   Step 1.   When 10 litres of the mixture is removed, 6 litres of milk is removed and 4 litres of water is removed. Therefore, there will be 6 litres of milk and 4 litres of water left in the container. It is then replaced with pure milk of 10 litres. Now the container will have 16 litres of milk and 4 litres of water.   Step 2.   When 10 litres of the new mixture is removed, 8 litres of milk and 2 litres of water is removed. The container will have 8 litres of milk and 2 litres of water in it. Now 10 litres of pure milk is added. Therefore, the container will have 18 litres of milk and 2 litres of water in it at the end of the second step. Therefore, the ratio of milk and water is 18 : 2 or 9 : 1.   Shortcut.   We are essentially replacing water in the mixture with pure milk.   Let W_o be the amount of water in the mixture originally = 8 litres.   Let W_r be the amount of water in the mixture after the replacements have taken place.   Then,{W_r}/{W_o}= (1-R/M)^n   where R is the amount of the mixture replaced by milk in each of the steps, M is the total volume of the mixture and n is the number of times the cycle is repeated.   Hence, {W_r}/{W_o} =(1/2)^2  =1/4   Therefore,TW_r ={W_o}/4= 8/4= 
8/4 = 2
2 litres.9 : 1
Answer: B
The product of the prime integers between 42 and 50, inclusive, is:	Pick one:
A) 50! – 40!	B) 99,029	C) 2,021	D) 2,303	E) 2,000

Solution: only prime number bet ween 43 and 50 inclusive are 43 and 47   thus   43*47= 
  43*47 = 2_021
2021   Ans: 2,021
Answer: C
15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container H?	Choose the correct choice from the following options.
A) A:45	B) B:25	C) C:37.5	D) D:36	E) E:42

Solution: If you have a 37.5 liter capacity, you start with 37.5 L of A and 0 L of B.   1st Replacement   After the first replacement you have 37.5-15= 
37.5-15 = 22.5
22.5 L of A and 15 L of B. The key is figuring out how many liters of A and B, respectively, are contained in the next 15 liters of mixture to be removed.   The current ratio of A to total mixture is 22.5/37.5; expressed as a fraction this becomes (45/2) / (75/2), or 45/2 * 2/75. Canceling the 2s and factoring out a 5 leaves the ratio as 9/15. Note, no need to reduce further as we're trying to figure out the amount of A and B in 15 L of solution. 9/15 of A means there must be 6/15 of B.   Multiply each respective ratio by 15 to get 9 L of A and 6 L of B in the next 15L removal.   Final Replacement   The next 15L removal means 9 liters of A and 6 liters of B are removed and replaced with 15 liters of B. 22.5-9=13.5 liters of A. 15 liters of B - 6 liters + 15 more liters = 24 liters of B.   Test to the see if the final ratio = 9/16; 13.5/24 = (27/2) * (1/24) = 9/16. C:37.5hoice C:37.5 is correct.
Answer: C
A mixture contains alcohol and water in the ratio 4 : 3. If 7 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture  Options:
A) 15 litres	B) 14 litres	C) 30 litres	D) 22 litres	E) 8 litres

Solution: Let the quantity of alcohol and water be 4x litres and 3x litres respectively   4x/(3x+7)=4/5   20x=4(3x+7)   8x=28   x=3.5   Quantity of alcohol = (4 x 3.5) litres = 14 litres.   Answer is 14 litres.
Answer: B
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?	Choose the correct choice from the following options.
A) 8 2 1/2 kmph
B) 2 2 1/8 kmph
C) 2 2 7/2 kmph
D) 2 2 1/2 kmph
E) 2 3 1/2 kmph

Solution: 100 --- 10 2 2 1/2 kmphS = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 2 2 ½ kmph   Answer: 2 2 1/2 kmph
Answer: D