MU-NLPC/Calc-aqua_rat huggingface dataset:
A 300 m long train crosses a platform in 48 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choose the correct choice from the following choices
A) 500 B) 350 C) 828 D) 277 E) 122

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/489 = 50/3   3x + 900 = 2400 => x = 500 m.   500nswer: 500
Answer: A
A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint T, in gallons, that must be purchased in order to measure out the portions needed for the mixture?	Pick one:
A) 2 B) 2 1/2 C) 3 D) 3 1/2 E) 4

Solution: Given W:B = 3:5   That means say 3 gallons of white paint + 5 gallons of black paint = 8 gallons of paint mixture.   But we want least amount of whiteblack paints for minimum of 2 gallons of mixture, so lets reduce keeping same ratio,   1.5 : 2.5 gives  1.5 + 2.5= 
 1.5 + 2.5 = 4
4 gallons of mixture, but we want only 2 gallons, lets further reduce   0.75: 1.25 gives  1+1.5= 
 1+1.5 = 2.5
2.5 gallons of mixture. This looks ok, but lets reduce further just to be sure   0.375: 0.625 gives  0.5 + 1= 
 0.5 + 1 = 1.5
1.5 gallons of mixture, thats less than 2 gallons of mixture, so not acceptable.   So correct ans is 2.5 gallons. 2 1/2
Answer: B
A man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water?	Choose the correct choice from the following:
A) 65
B) 86
C) 35
D) 78
E) 38

Solution: US = 25   DS = 45   M = (45 + 25)/2= 
(45 + 25)/2 = 35
35   Answer: 35
Answer: C
A mixture contains alcohol and water in the ratio 2:5. If 10liters of water is added to the mixture, the ratio becomes 2:7. Find the quality of alcohol in the given mixture.	Choose the correct choice.
A) 5	B) 10	C) 15	D) 20	E) 25

Solution: Let the quantity of alcohol and water be 2x and 5x   2x/(5x+10) = 2/7   20x = 4(3x+5)   x=5   Quantity of alcohol = 2*5= 
2*5 = 10
10liters.   Answer is 10
Answer: B
A person crosses a 650 m long street in 5 minutes. What is his speed in km per hour?
Choose the correct choice from the following
A) 5.2 km/hr.
B) 8.2 km/hr.
C) 7.8 km/hr.
D) 3.2 km/hr.
E) 4.2 km/hr.

Solution: C   7.8 km/hr.   Speed=(600/5 * 60) m/sec   = 2.16 m/sec.   7.8 km/hr.onverting m/sec to km/hr   =(2*18/5) km/hr   = 7.8 km/hr.
Answer: C
A train is 360 meter long is running at a speed of 72 km/hour. In what time will it pass a bridge of 140 meter length?
Choose the correct choice.
A) 11 seconds B) 38 seconds C) 40 seconds D) 25 seconds E) 19 seconds

Solution: Speed = 72 Km/hr = 72*(5/18) m/sec = 20 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= 25 secondsistance/speed   = 500 * (1/20)= 
500 * (1/20) = 25
25 seconds   Answer: 25 seconds
Answer: D
What is the product of all the prime factors of 16?
Choose the correct choice:	A) 108	B) 18	C) 9	D) 6	E) 2

Solution: The factors of 16 :   factors are 1,2,4.8,16 Ans - 2*2*2*2 = 16   Answer : 6
Answer: D
The surface of a cube is 24sq cm. Find its volume? Pick one.
A) 8  B) 5  C) 7  D) 3  E) 1

Solution: 6a2 = 24   a = 2 => a3 = 8cc   8nswer: 8
Answer: A
A dog taken four every five leaps of hare but three leaps of the dog is equal to four leaps of the hare. Compare speed?	Choices:
A) 16:15 B) 17:15 C) 18:15 D) 19:15 E) 15:19

Solution: A dog taken four every five leaps of hare but three leaps of the dog is equal to four leaps of the hare.   For time duration, when a dog takes 12 steps , hare takes 15 steps   but 12 steps of dog = 12*4/3= 
12*4/3 = 16
16 steps of hare   so ratio of speed of dog to speed of hare= 16:15   16:15NSWER:16:15
Answer: A
If x > 1, which of the following decreases as x decreases?
I.1/( x + x^2)
II. 1/(2x^2 − x)
III. (x + 1)
Choose the correct choice from the following answers
A) I only	B) II only	C) III only	D) I and II only	E) II and III only

Solution: let x= 4 and 3 b old and new values   ST1: x= 4 -> 4+16 = 1/20   x=3-> 3+9 = 1/12 ...increased   ST2:x= 4-> 2*16-4 =1/ 28   x=3->2*9-3 = 1/15   Increased   St3: x=4-> 5   x=3->4   Ans: III only
Answer: C
Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer Q between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?  Answers:
A) Q=12
B) Q=15
C) Q=17
D) Q.18
E) Q=20

Solution: Since we are concerned with integers between 1 and 20, write down the primes till 40.   2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37   (you should be very comfortable with the first few primes... )   2, 3, 5, 7, 11,12, 13, 17, 19, 23, 29, 31, 37 - Three pairs (11,13), (7,17), (5, 19)   2, 3, 5, 7, 11, 13,15,17, 19, 23, 29, 31, 37 - Three pairs (13, 17), (11, 19), (7, 23)   2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37 - Three pairs (11, 23), (5, 29), (3, 31)   2, 3, 5, 7, 11, 13, 17,18,19, 23, 29, 31, 37 - Four pairs (17, 19), (13, 23), (7, 29), (5, 31)   2, 3, 5, 7, 11, 13, 17, 19,20,23, 29, 31, 37 - definitely cannot be more than 4 since there are only 4 primes more than 20. So must be less than 4 pairs. Ignore.   Answer (Q.18).
Answer: D
A man sells a horse for Rs.620 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?  Choose one:
A) 227
B) 299
C) 740
D) 860
E) 771

Solution: 740P = SP + 1740P = SP - g   620 + x = 980 - 2x   3x = 360 => x = 120   740P = 620+ 120= 
620+ 120 = 740
740   Answer: 740
Answer: C
Logan buys 100 shares of par value Rs. 30 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.  Select the correct option.
A) 2
B) 4
C) 5
D) 36
E) 8

Solution: Face value of each share = Rs.30   Total dividend received by Logan = 100Ã—30Ã—12/100 = Rs.360   Let market value of 100 shares = Rs.x   xÃ—10/100=360   x = 3600   ie, Market value of 100 shares = Rs.3600   Hence, Market value of each share = Rs.36   Answer is 36.
Answer: D
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent? Select:
A) 33 1/7 %	B) 33 8/3 %	C) 33 1/3 %	D) 33 1/8 %	E) 37 1/3 %

Solution: The total number of mangoes bought by the shopkeeper be 12.   If he buys 4 a rupee, his 33 1/3 %P = 3   He selling at 3 a rupee, his SP = 4   Profit = SP - 33 1/3 %P = 4 - 3= 
4 - 3 = 1
1   Profit Percent= 1/3 * 100 = 33 1/3 %   Answer: 33 1/3 %
Answer: C
In a race, the speeds of A and B are in the ratio 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is? Choose the most appropriate option: A) 1 hr B) 2 hr C) 1.5 hr D) 2.5 hr E) 3 hr

Solution: Explanation :   Ratio of speeds = 3:4Distance remaining constant, the ratio of time taken = 4:3A takes 0.5 hours more than 2 hrHence time taken by A=4×0.5= 2 hour   Answer : 2 hr
Answer: B
From the sale of sleeping bags, a retailer made a gross profit of 15% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
Options:	A) 3.0	B) 3.36	C) 24.34	D) 25.0	E) 31.36

Solution: Cost price * 1.15 = Selling price --> Cost price * 1.15 = $28 --> Cost price = $24.34.   Answer: 24.34.
Answer: C
A wildlife preserve is being planned for 4,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population? Answers.
A) 450	B) 330	C) 320	D) 310	E) 300

Solution: Number of rhinos = 4000   Watering area = 10,000 acres   Number of rhino to increase by 10 percent ,then number of rhino = 4400   Grazing area for a rhino = 100   Total grazing area for 4400 rhinos= 4400 * 100 = 4,40,000   Total area required for the wildlife preserve = 4,40,000 + 10,000 = 4,50,000 = 450 * 1000   450nswer 450
Answer: A
How many cubes of 10cm edge can be put in a cubical box of 1m edge Choose the correct choice from the following:
A) 3348
B) 2888
C) 1000
D) 2877
E) 3778

Solution: Explanation:   number of cubes=(100x100x100)/(10x10x10)=1000   Answer: 1000) 1000
Answer: C
In a group of 26 junior high school students, 7 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?  Choose one: A) 7 B) 6 C) 5 D) 4 E) 8

Solution: C   5   Add 7 + 10 + 4 to get 21.   Then subtract 21 from the total students ⇒ 26 – 21 = 5.   Answer is 5
Answer: C
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Choices:
A) 15 hours	B) 18 hours	C) 20 hours	D) 25 hours	E) 35 hours

Solution: Let A fill tank in x hrs.   Therefore tank filled in one hrs is 1/x.   And B pipe is twice than A means 2 (1/x).   C pipe is twice than B means 2 (2 (1/x) ) i.e 4/x.   1/x+2/x+4/x = 1/5.   7/x = 1/5.   x = 35 hrs.   ANSW35 hoursR :e
Answer: E
17 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?  Choose the correct answer.
A) 154
B) 184
C) 240
D) 272
E) 306

Solution: 2*17C2 = 2*136= 
2*136 = 272
272   The answer is 272.
Answer: D
A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course:
Select the correct option
A) 8.5 min	B) 7.5 min	C) 1.5 min	D) 9.5 min	E) 4.5 min

Solution: Explanation:   B runs around the track in 10 min.   i.e , Speed of 7.5 min = 10 min per round   A beats 7.5 min by 1 round   Time taken by A to complete 4 rounds   = Time taken by 7.5 min to complete 3 rounds   = 30 min   A's speed = 30/4= 
30/4 = 15/2 = around 7.5
7.5 min per round   Hence, if the race is only of one round A's time over the course= 7 min 30 sec   Answer: 7.5 min
Answer: B
A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph of 3 edges and 3 points. The degree of a point is the number of edges connected to it. For, example, a triangle is a graph with 3 points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any through sequence of edges. The number of edges 'e' in the graph must satisfy the condition
Choose the correct choice from the following:
A) 11 ≤ e ≤ 66  B) 10 ≤ e ≤ 66  C) 11 ≤ e ≤ 65  D) 0 ≤ e ≤ 11  E) None of these

Solution: Explanation :   The least number of edges will be when one point is connected to each of the other 11 points, giving a total of 11 lines. One can move from any point to any other point via the common point.   The maximum edges will be when a line exists between any two points. Two points can be selected from 12 points in 12C2 i.e. 66 lines.   11 ≤ e ≤ 66nswer : 11 ≤ e ≤ 66
Answer: A
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 2 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y? Choose the correct option.
A) 2y  B) 4y  C) 5y  D) 6y  E) 13y

Solution: Anthony performed for 14 days meansw Cindy performed for  (14-2)= 
  (14-2) = 12
12 days.   If Cindy gives y dollars to Anthony their Daily rate will be equal.It means   (x+y)/14=(x-y)/12   Solving we get, x=13y   Now Anthony's Advance is x=13y .So answer should be 13y.
Answer: E
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 350-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?	Choose the correct choice from the following: A) 1,108 B) 2,900 C) 2,108 D) 2,124 E) 2,256

Solution: We have $200 and we have to maximize the number of hot dogs that we can buy with this amount.   Let's try to find out what is the maximum number of hot dogs that we can buy for a lesser amount of money, which in this case is 350 for $22.95.   For the sake of calculation, let's take $23. 23x8 gives 184 ,i.e. a total of 350x8 = 2800 hot dogs . We are left with ~$16. Similarly, let's use $3 for calculation. We can buy 5 20-pack hot dogs (3x5), a total of 20x5 = 100 hot dogs. So we have 2900 hot dogs.   2108 looks far-fetched (since we are not likely to be left with > $1.55). Hence, (b) 2900 (ANSWER 2,900)
Answer: B
A telecom service provider engages male and female operators for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the female operators get a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and female operator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 of the 12 female operators available for the job?	Choose the correct option
A) 15	B) 14	C) 12	D) 10	E) 11

Solution: Explanation :   There are two equations to be formed 40m + 50f = 1000.   250m + 300f + 40 x 15m + 50 x 10f = A.   850m + 8000f = A.   m and f are the number of males and females. A is the amount paid by the employer.   Then the possible value of f = 8,9,10,11,12.   Iif f= 8, M =15.   If f = 9,10,11 then m will not be an integer while f =12 then m will be 10.   By putting f = 8 and m=15 , A = 18800.   when f =12 and m= 10 then A = 18100.   Hence, the number of males is 10.   Answer : 10
Answer: D
A batsman makes a score of 100 runs in the 17th inning and thus increases his averages by 5. What is his average after 17th inning? Select the correct option
A) 39 B) 35 C) 20 D) 40.5 E) 41.5

Solution: let the average after 16th inning =x   then total run after 16th inning=16x   then total run after 17th inning=16x+100   then average run after 17th inning=(16x+100)/17   (16x+100)/17=x+5 = > 16x+100 = 17x+85 => x =15   x=15;   average after 17th inning =15+5= 
15+5 = 20
20   ANSWER:20
Answer: C
The average age of a husband, wife and their child 12 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?  Options:
A) 19.01 years	B) 5.25 years	C) 16 years	D) 15 years	E) 4.75 years

Solution: Sum of the present ages of husband, wife and child   = (23 * 2 + 5 * 2) = 57 years.   Required average   = 57/12= 
57/12 = 19/4 = around 4.75
4.75 years.   Answer:4.75 years
Answer: E
Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 2107 miles?	Choose the correct choice from the following options
A) Two hours and 30 minutes.  B) One hour and 10 minutes.  C) Two hours and 25 minutes.  D) Three hours and 5 minutes.  E) Four hours and 20 minutes.

Solution: Answer is D. Three hours and 5 minutes.   Since they are racing towards each other, the speed is accumulative, ie. 350 mph + 350*0.72 = 602 (0.72 because the second train is 28% slower)   So time before collision is total distance / total speed = 2107/602 = 3 hours and 5 mins
Answer: D
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choose the correct answer:
A) 1/5	B) 2/47	C) 3/8	D) 12/455	E) 1/28

Solution: Explanation:   Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   When three marbles are drawn, the probability that one is yellow and two are red   = (Â²Câ‚)(â´Câ‚‚)/Â¹âµCâ‚ƒ   = (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455.   12/455
Answer: D
If the difference between compound interest(interest compounded yearly) and simple interest on a sum for 3 years at 20% p.a. is Rs.132, then the sum is  Choose the correct option.
A) Rs.3500	B) Rs.1500	C) Rs.2500	D) Rs.3000	E) None

Solution: C.I-S.I=132   C.I=A-P   A=P(1+(R/100))^n   A=x(1+(20/100))^3   A=x(6/5)^3   A=216/125(x)   C.I=(91/125)x   S.I=(PNR)/100=(x*3*20)/100=(6/10)x   diff=132   diff=(91/25)x-(6/10)x=(182x-150x)/250=32x/250   32x/250=132   x=(132*250)/32= 
(132*250)/32 = 4_125/4 = around 1_031.25
1031.25   ANSWNoneR:None
Answer: E
The product of the prime numbers between 0 and 20 is closest to...
Select the correct option:
A) 10^5	B) 10^6	C) 10^7	D) 10^8	E) 10^9

Solution: Write out the primes 1 - 20   2 x 3 x 5 x 7 x 11 x 13 x 17 x 19   Round the numbers off in multiples of 5. Try to alternate rounding up and down   5 x 5 x 5 x 5 x 10 x 10 x 20 x 20   25 x 25 x 10 x 10 x 20 x 20   pull out 10 from each number   10^6 (2.5 x 2.5 x 2 x 2)   10^6 (5 x 4)   10^7 (2)   round off the 2.   answer is 10^7
Answer: C
Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?  Choose the correct choice from the following choices
A) 22  B) 16  C) 27  D) 187  E) 11

Solution: Let the present ages of Anand and Bala be 'a' and 'b' respectively.   a - 10 = 1/3 (b - 10) --- (1)   b = a + 12   Substituting b = a + 12 in first equation,   a - 10 = 1/3 (a + 2) => 3a - 30 = a + 2= 
+ 2 = 2
> 2a= 32 => a = 16.   Answer:16
Answer: B
A single discount equivalent to the discount series of 25%, 10% and 5% is? Choose the correct answer
A) 31.5	B) 31.8	C) 31.6	D) 31.3	E) 35.9

Solution: 100*(75/100)*(90/100)*(95/100)   = 64.1   100 - 64.1= 
100 - 64.1 = 35.9
35.9   Answer:35.9
Answer: E
A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $900. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 10% less than the price each head sold for on the day before. What was the total gross profit on this shipment.	Choose the correct choice from the following
A) $100
B) b $115
C) c $187.5
D) d $130.5
E) e $135.5

Solution: Purchase cost = 900/1500= 
900/1500 = 3/5 = around 0.6
$ 0.6   25% above the cost per head= (125/100)*0.6= 
(125/100)*0.6 = 0.75
$ 0.75   2/3 of the heads were sold means 2/3*1500= 
2/3*1500 = 1_000
1000 ,Selling amount for 1000 cabbage= 1000 * 0.75= 
1000 * 0.75 = 750
$ 750   Remaining were sold at a price equal to 10% less than the price each head sold for on the day before i.e , (90/100)*0.75= $ 0.675   Hence selling cost for the remaining cabbage = 500 * 0.675= 
500 * 0.675 = 337.5
$ 337.5   Total selling cost= 750 + 337.5= 
750 + 337.5 = 1_087.5
$ 1087.5   Gross profit= $ 1087.5 - $ 900 = $ 187.5   Hence Answer is c $187.5.
Answer: C
Anil invested a capital of Rs.5000 and Sunil invested Rs.10000. Anil invested for a time period which is double than the time period for which Sushil invested. How will a profit of Rs.4000 be divided between them?  Pick one:	A) 1000, 3000	B) 3000,1000	C) 2500,1500	D) 2000,2000	E) 3000,2000

Solution: suppose time duration for sunil is 'x' and thus time duration for anil will be '2x'   So their investment ratio will be 5000*2x:10000*x= 1:1   Therefore profit 4000 will be divided into 1:1 ratio i.e. 2000 & 2000   ANSWER:2000,2000
Answer: D
A train passes a station platform in 32 seconds and a man standing on the platform in 12 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?  Select: A) 340 B) 360 C) 380 D) 400 E) 420

Solution: The speed of the train is 72 * 5/18 m/s = 20 m/s   The length of the train is 20 x 12 = 240 m   platform + 240 = 20 * 32= 
20 * 32 = 640
640 - 240= 
640 - 240 = 400
400   The answer is 400.
Answer: D
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?	Options: A) 5/18 B) 1/6 C) 1/4 D) 1/9 E) 2/6

Solution: A's one day's work = 1/30   B's one day's work = 1/45   (A + B)'s one day's work = 1/30 + 1/45 = 1/18   The part of the work completed in 5 days = 5 (1/18) = 5/18.   5/18NSWER 5/18
Answer: A
In store A there are 20 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?  Pick
A) 3:16.	B) 2:3.	C) 1:3.	D) 3:4.	E) 2:5.

Solution: 1st statement : ratio of pants   Store A : Store 2:3.   20x : 40x   X:2X   Price :   4y:3y   Total revenue   4xy : 6xy   2:3   Answer is 2:3.
Answer: B
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 15 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choose the correct answer.
A) 78  B) 60  C) 26  D) 23  E) 12

Solution: Relative speed = 45 + 15= 
45 + 15 = 60
60 km/hr.   60 * 5/18=50/3 m/sec.   Distance covered = 500 + 500= 
500 + 500 = 1_000
1000 m.   Required time= 1000 * 3/50= 
1000 * 3/50 = 60
60 sec.   Answer:60
Answer: B
The cost of an item was reduced from its usual selling price of $23.99 to $17.99. Which of the following is closest to the percent decrease in the price of the item?	Choose the correct choice:
A) 17%
B) 21%
C) 24%
D) 25%
E) 42%

Solution: The price decreased by 23.99 - 17.99= 
23.99 - 17.99 = 6
$6.   $6 is a bit more than 25% of original price of $24.   Answer: 25%.
Answer: D
In a bag,there are coins of 25 p,10 p and 5 p in the ratio of 1 : 2 : 3.If there are Rs.30 in all,how many 5 p coins are there ? Choose the correct choice:
A) 50	B) 100	C) 150	D) 200	E) 250

Solution: Solution   Let the number of 25 p,10 p and 5 p coins be x,2x and 3x respectively.   Then,sum of their values = Rs.(250x/100 +10x2x100 +5x3x/100) = Rs.60x/100   ∴60/100 = 30 x =30x100/60 = 50.   Hence,the number of 5 p coins = (3x50) = 150   Answer 150
Answer: C
If 20 liters of chemical X are added to 80 liters of a mixture that is 5% chemical X and 95% chemical Y, then what percentage of the resulting mixture is chemical X?
Choose the correct choice from the following answers
A) 24%
B) 26%
C) 28%
D) 30%
E) 32%

Solution: The amount of chemical X in the solution is 20 +0.05(80) = 24 liters.   24 liters / 100 liters = 24%   The answer is 24%.
Answer: A
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.575 in all. Find the share of B?
Choices
A) 130 B) 120 C) 218 D) 140 E) 145

Solution: A+120+C = 575   A = 3120   3120+120+120-25 = 575   5120 = 600   120 = 120   Answer: 120
Answer: B
How many liters of water must be added to 18 liters of milk and water containing 10% water to make it 40% water?	Pick one:
A) 6 B) 7 C) 8 D) 9 E) 10

Solution: By rule of alligation:   40% - 10% = 30%   100% - 40% 40  - 10= 
40  - 10 = 30
30%   100% - 40% = 60%   Quantity of pure water : Quantity of the mixture  100  - 40= 
 100  - 40 = 60
60%   Quantity of pure water : Quantity of the mixture= 1 : 2   There are 18 liters of mixture, so we need to add 9 liters of pure water.   The answer is 9.
Answer: D