MU-NLPC/Calc-aqua_rat huggingface dataset:
If 6 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in	Choose one
A) 1 day  B) 2.1 days  C) 3 days  D) 4.5 days  E) 5 days

Solution: The length of cloth painted by one man in one day = 48 / 6 × 2 = 4 m   No. of days required to paint 36 m cloth by 6 men = 36/ 4 × 2 = 4.5 day.   4.5 days
Answer: D
Two stations A and B are 110 km apart on a straight line. One train starts from A at 3 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Pick one:
A) 15 a.m
B) 10 a.m
C) 12 a.m
D) 6 a.m
E) 05 a.m

Solution: Suppose they meet x hours after 3 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 6 a.m.   Answer:6 a.m
Answer: D
The compound ratio of 5:6, 3:2 and 4:5?  Choose the correct option: A) 1:5 B) 1:8 C) 1:2 D) 1:1 E) 1:9

Solution: 5/6 * 3/2 * 4/5= 
5/6 * 3/2 * 4/5 = 1
1/1   1:1   Answer:1:1
Answer: D
One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8:7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?
Choose the correct choice from the following options:  A) Rs 12.47  B) Rs 10.80  C) Rs 10.80  D) Rs 47.66  E) None of these

Solution: Explanation :   Let the rate of second quality be Rs x per Kg.   C.P of 1Kg wheat of 1st kind = Rs 9.30   C.P of 1 Kg wheat of 2nd kind = Rs. x.   Mean price = Rs 10.   The given ratio is 8 : 7.   Rs 9.30 Rs x   \ /   (Mean Price)   Rs 10   / \   x-10 : 0.7   8 : 7   Then, the ratio is :-   =>(x-10) : 0.7 = 8 : 7.   =>7x -70=5.6.   =>x=75.6/7.   Hence, the required amount is 10.80 per Kg.   Answer : Rs 10.80
Answer: B
A line that passes through (–1, –4) and (2, k) has a slope = k. What is the value of k?  Choose the correct answer.
A) 3/4	B) 1	C) 4/3	D) 2	E) 7/2

Solution: Slope = (y2-y1)/(x2-x1)   => k = (k+4)/(2+1)   => 3k = k+4   => k =2   Ans 2 it is!
Answer: D
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?	Choose the correct option:
A) 30  B) 88  C) 66  D) 44  E) 31

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 500 * 3/50= 
500 * 3/50 = 30
30 sec.   30nswer: 30
Answer: A
A clothing store prices jeans at 20% above the wholesale price of $40 and shorts at 10% above the wholesale price of $25. An employee uses their employee discount of 10% to buy 2 pairs of shorts and 1 pair of jeans. How much does that employee pay?  Choose one:  A) $92.70  B) $111.15  C) $95.70  D) $97.25  E) $98

Solution: Wholesale cost of jeans = $40   Wholesale cost of shorts = $25   Jeans were priced at 20% above $40 = $48   Shorts were priced at 10% above $25 = $27.50   % discount given by employee discount = 10%   Employee paid = (27.5 + 27.5 + 48) * .9= 
(27.5 + 27.5 + 48) * .9 = 92.7
$92.70   $92.70nswer $92.70
Answer: A
Population of a city in 2004 was 1000000. If in 2005 there is an increment of 20% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007  Pick one
A) 967532
B) 977522
C) 984424
D) 997454
E) 1131000

Solution: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)   = P (1 + 20/100)(1 - 35/100)(1 + 45/100)   = 1131000   1131000
Answer: E
A rectangle having length 105 cm and width 40 cm. If the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area.
Answers
A) 25%  B) 19.23%  C) 40%  D) 75%  E) None of these

Solution: Explanation :   Solution: (25/(105+25) * 100)% = 19.23%   Answer : 19.23%
Answer: B
If 6th March, 2001 is Sunday, what was the day of the week on 6th March, 2000?	Select.
A) Sunday	B) Saturday	C) Tuesday	D) Wednesday	E) None of these

Solution: Solution   The year 2000 is a leap year. So, it has 2 odd days.   But, Feb 2000 not included because we are calculating from March 2000 to March 2001. So it has 1 odd day only.   The day on 6th March, 2001 will be 1 day beyond the day on 6th March, 2000. Given that, 6th March, 2001 is Sunday.   6th March, 2000 is Saturday (1 day before to 6th March, 2001)   Answer Saturday
Answer: B
A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of both the numbers and carried out the multiplication and found that the product was exactly the same as the one expected by the teacher. Only one of the following pairs of numbers will fit in the description of the exercise. Which one is that ?	Choose one:
A) 14, 22 B) 13, 62 C) 19, 33 D) 42, 28 E) None

Solution: Explanation :   This can best be done by reverse substitution.   We need not verify the entire answer but only that last digits.   For example, the last digits obtained by multiplying the the units place digits should be the same as that obtained by multiplying the tens place digit.   Hence we find that only option (2) is the valid answer.   Answer : 13, 62
Answer: B
Find k if 64 / k = 8.
Choose one
A) 6
B) 7
C) 8
D) 4
E) 3

Solution: Since 64 /k = 8 and   64/ 8= 
  64/ 8 = 8
8, then   k= 8 correct answer 8
Answer: C
A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 6 is
Choose the correct choice from the following answers:
A) 3  B) 7  C) 21  D) 189  E) 198

Solution: In that case, the Sophie prime numbers greater than 6 are 7,11,23,47,59, .. which yields units digit as 1,3,7 and 9   Product would be 1 x 3 x 7x9 =189 Answer should be 189
Answer: D
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Pick one:
A) 1234
B) 1345
C) 1450
D) 1550
E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
A train moves fast a telegraph post and a bridge 240 m long in 8 sec and 20 sec respectively. What is the speed of the train? Pick:	A) 75	B) 39	C) 79	D) 72	E) 71

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 8 => x = 8y   (x + 240)/20 = y   y = 20   Speed = 20 m/sec = 20 * 18/5= 
20 * 18/5 = 72
72 km/hr.   Answer:72
Answer: D
Two brother X and Y appeared for an exam. The probability of selection of X is 1/5 and that of B is 2/3. Find the probability that both of them are selected.  Choose one:
A) 2/69	B) 2/20	C) 2/18	D) 2/29	E) 2/15

Solution: Explanation:   Let A be the event that X is selected and B is the event that Y is selected.   P(A) = 1/5, P(B) = 2/3.   Let C be the event that both are selected.   P(C) = P(A) Ã— P(B) as A and B are independent events:   = (1/5) Ã— (2/3) = 2/15   Answer: 2/15) 2/15
Answer: E
Last summer, Roger worked x days at 2 hours/day at a job, and he was paid at a rate of r dollars per hour. For the whole summer, he earned $1000. This summer, he will work at another job that offers the same pay rate, r dollars per hour. This summer he will work H days at 5 hours/day, so that he will earn $4000 for the entire summer. In terms of x, which of the following equals H?	Choose one
A) x
B) 2x/3
C) 2x
D) 4x/3
E) 8x/5

Solution: Last Summer story   Total hours: 2x   rate: $r per hour   2rx = 1000; rx = 500   This Summer story   Total hours: 5H   rate: $r per hour   Total payment = 5rH = 4000   5rH = 8 *500 = 8rx   5H=8x   H= 8x/5   Answer is 8x/5
Answer: E
Two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?  Choose the correct answer:
A) 22	B) 12	C) 77	D) 10	E) 21

Solution: Speed of the first train = 120/8= 
120/8 = 15
15 m/sec.   Speed of the second train= 120/15= 
120/15 = 8
8 m/sec.   Relative speed= 15 + 8= 
15 + 8 = 23
23 m/sec.   Required time= (120 + 120)/23 = 10 sec.   Answer: 10
Answer: D
The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. x T (-z)=0
II. z T z/z-1=z
III. 2/z T 2/z=1  Choose the correct option.
A) a.) I	B) b.) I and II only	C) c) I and III only	D) d) II and III only	E) e) None of these

Solution: Statement I is not TRUe) None of these   Statement II is not TRUe) None of these   Statement III is not TRUe) None of these   Answer : e) None of these
Answer: E
A courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
Choices:
A) 22877
B) 27778
C) 20000
D) 22500
E) 17799

Solution: Number of bricks =Courtyard area/1 brick area   =(2500×1800/20×10)=22500   Answer: 22500
Answer: D
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?	Choose the correct choice from the following options: A) 8 min B) 5 min C) 10 min D) 14 min E) 15 min

Solution: Due to stoppages, it covers 9 km less.   Time taken to cover 9 km = (9/54 x 60) min = 10 min.   Answer : 10 min.
Answer: C
A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6000?
Choose one
A) Rs. 5870 B) Rs. 5991 C) Rs. 6020 D) Rs. 6850 E) None of these

Solution: Explanation:   Total sale for 5 months = Rs. (5420 + 5660 + 6200 + 6350 + 6500) = Rs. 30,130   Therefore, required sale = Rs. [(6000 * 6) – 30,130] = Rs. (36000 – 30,130) = Rs. 5870   Rs. 5870NSWER Rs. 5870
Answer: A
The sum of the numbers is 220. If the first number be twice the second and third number be one-third of the first, then the second number is:  Answers:
A) 48
B) 54
C) 72
D) 60
E) 27

Solution: Let the second number be x. Then, first number = 2x and third number = 2x/3.   2x + x + 2x/3 = 220   11x/3 = 220   x = 60   ANSWER:60
Answer: D
A and B started a business investing Rs. 80,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
Choose one:  A) 4:1  B) 3:2  C) 18:20  D) 18:4  E) 17:4

Solution: 4:1: B = 80000 : 20000   = 8 : 2   = 4 : 1   4:1NSWER:4:1
Answer: A
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?	Choices.
A) 12  B) 18  C) 32  D) 40  E) 44

Solution: let's take numbers here.   Assume that the total number of movie theaters in the town = 100   Then number of movie theaters with 3 screens or less = 60   => Number of movie theaters with 4 screens or more = 40   Movie theaters with 3 screens or less selling popcorn at more than $300 = 20% of 60 = 12   Number of movie theaters selling popcorn at $300 or less = 56   => Number of movie theaters selling popcorn at more than $300 = 100-56= 
100-56 = 44
44   Of these 44 theaters, 12 are those with 3 screens or less   Therefore 32 (44-12) must be those with four screens or more   32 is the answer
Answer: C
When n is divided by 24, the remainder is 4. What is the remainder when 4n is divided by 8?  Choose the correct choice from the following answers:
A) 3 B) 4 C) 5 D) 0 E) 7

Solution: Let n=4 (leaves a remainder of 4 when divided by 24)   4n = 4(4) =16, which leaves a remainder of 0 when divided by 8.   Answer 0
Answer: D
A number 15B is divisible by 6. Which of these will be true about the positive integer B?  Select the correct option: A) B will be even B) B will be Odd C) B will be divisible by 6 D) Both a & b E) A, B and C

Solution: 15B is divisible by 6   => 3*5*B is divisible by 3*2   => 5*B is divisible by 2   => B has to be even.   B will be evenns B will be even
Answer: A
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Choose the correct choice from the following choices:
A) 1.09	B) 1.6	C) 1.2	D) 1.5	E) 1.1

Solution: M = 4.5   S = x   1.5S = 4.5 + x   US = 4.5 + x   4.5 + x = (4.5 - x)2   4.5 + x = 9 -2x   3x = 4.5   x = 1.5   Answer: 1.5
Answer: D
If 4 Men or 6 Women take 4 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work?
Can anyone explain please?  Choose the correct choice from the following answers
A) 1. 3/2 days  B) 2. 4/9 Days  C) 3. 9/4 days  D) 4.5/2 days  E) 5.3 days

Solution: 4 men or 6 women takes 4 days to complete the work   So 4M = 6W   W = 2/3M   1 man in 1 day does 1 unit of work   so 4 M in 4 M = 16 units of work   now 8 M and 4 W = 8 M + 4(2/3)M   = 8M + 8M/3   = 36M   Since both set do the same work   36M in n Days = 16 units of work   n = 16/36 = 4/9 days.   2. 4/9 Days
Answer: B
Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely.
Choose the correct choice from the following choices.
A) Rs.2522	B) Rs.2512	C) Rs.2572	D) Rs.2592	E) None

Solution: Solution   Principal	= Rs.16,000;   Time=9 months	= 3 quarters;   Amount   =Rs.[16000x(1+5/100)³]   =[16000x21/20x21/20x21/20]   = Rs.18522.   C.I	= Rs.(18522 - 16000)   = Rs.2522.   Rs.2522nswer Rs.2522
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?  Choose the correct option:
A) 1 B) 8 C) 9 D) 7 E) 5

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1nswer: 1
Answer: A
Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents X watch all of the shows?
Choose the most appropriate option
A) 150	B) 108	C) 42	D) 21	E) -21

Solution: OA is D.   100= A+B+C-AB-AC-BC+ABC, which is the same as the following formula   100= A+B+C+(-AB-AC-BC+ABC+ABC+ABC)-2ABC.   The term between parantheses value 18% so the equation to resolve is   100=35+40+50-18-2ABC   therefore the value of ABC is 3.5% of 600, X is 21. 21 is the correct answer
Answer: D
A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?	Choose the correct choice from the following choices:
A) 25.7 years  B) 28 years  C) 29.3 years  D) 28.8 years  E) 30 years

Solution: Explanation:   Present age of the son be P, he was born P years ago.   The age of the man was: (48 - P).   His age when the son was born should be equal to 2/3 of P.   (48 - P) = 2/3 P   5P = 144 => P = 28.8   ANSWER IS 28.8 years
Answer: D
At a meeting of the 6 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 6 Chiefs of Staff be seated around a circular table?  Answers:
A) 120  B) 480  C) 4040  D) 2520  E) 5040

Solution: Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (4040), should be the number of ways to arrange all 6 without the seating restriction given. Is this incorrect?4040
Answer: C
X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 43 Km/hr. However, he covers the distance from Y to X at an average speed of 35 Km/hr. His average speed during the whole journey in km/hr. is : Select the correct option:
A) 34	B) 43	C) 40	D) 38.6	E) 29

Solution: Solution: Average speed = 2XY / X+Y   = 2*43*35 / 43+35   = 38.6   Answer : 38.6
Answer: D
A department store receives a shipment of 1,000 shirts, for which it pays Rs. 9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the remaining shirts afterwards. How much gross income did sales of the shirts generate?
Choose the most appropriate option.
A) 10500 B) 11500 C) 12500 D) 13500 E) 14500

Solution: actual price of one shirt=9 rupees   price of one shirt for first month=16.2 rupees   total number of shirts sold that month=750   total income from 1st month=Rs.12150   price of one shirt after 1st month=10.8rupees   total number of shirts sold this time=125   total income after 1st month=1350 rupees   so GROSS INCOME=12150+1350=Rs.13500   ANSWER:13500
Answer: D
A box contains 8 pairs of shoes (16 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?	Choose the correct choice from the following answers.
A) 1/190  B) 1/20  C) 1/19  D) 1/10  E) 1/15

Solution: The problem with your solution is that we don't choose 1 shoe from 16, but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/15(as after taking one at random there are 15 shoes left and only one is the pair of the first one)=1/15   Answer: 1/15.
Answer: E
A team of five basketball players has an average height of 280 cm. two players whose average height is 190 cm, left the team and two new others whose average height is 204 cm, joined. Calculate the new average height of the players(in cm) is?  Options:
A) 317.6 cm
B) 417.6 cm
C) 214.6 cm
D) 217.6 cm
E) 117.6 cm

Solution: Total height = 280 * 5= 
280 * 5 = 1_400
1400 cm.   Total height of those who left= 190 * 2= 
190 * 2 = 380
380   Total height of those who joined= 204 * 2= 
204 * 2 = 408
408   New average= [1400 - 720 + 408 ] / 5 = 1088/5 cm.   = 217.6 cm   Answer:217.6 cm
Answer: D
Local kennel has cats and dogs in the ratio of 6:12. If there are 24 fewer cats than dogs, how many dogs are in the kennel?
Pick.
A) 50  B) 48  C) 52  D) 54  E) 56

Solution: Lets work with the data given to us. We know that there ratio of cats to dogs is 6:12 or   cats 6   dogs 12   we can write number of cats as 6x and number of dogs as 12x and we know that 12x-6x= 24(therefore 6x = 24 => x=4)   Then # of dogs = 12x4= 48   Answer is 48
Answer: B
Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 50 percent ?  Choose the correct answer:
A) 200
B) 320
C) 112
D) 80
E) 56

Solution: Original (Long-Term is 70%)   Total = 800   Long-Term = .7(800) = 560   New (Long-Term is 50%)   New Total = 800 - y   New Long-Term = 560 - y   560 - y = .5 (800 - y)   y = 320   Answer: 320
Answer: B
By selling a 50meters cloth one gain the selling price of 20meters. Find the gain percent? Select the correct option:
A) 50%
B) 100%
C) 75%
D) 25%
E) 90%

Solution: Let the cost of 1meter cloth be x   Gain = 50x-20x = 30x   gain % 50 -20= 
50 -20 = 30
30x   gain %= 30x/30x*100 = 100%   Answer is 100%30 /30 *100= 
30 /30 *100 = 100
100%   Answer is 100%
Answer: B
Patrick purchased 70 pencils and sold them at a loss equal to the selling price of 20 pencils. The cost of 70 pencils is how many times the selling price of 70 pencils?	Choose the correct option
A) 0.75	B) 0.8	C) 1	D) 1.28	E) 1.35

Solution: Say the cost price of 70 pencils was $70 ($1 per pencil) and the selling price of 1 pencil was p.   Selling at a loss: 70 - 70p = 20p --> p = 7/9.   (cost price)/(selling price) = 1/(7/9) = 9/7 = 1.28.   Answer: 1.28.
Answer: D
The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
Select the correct option
A) 3x B) 4x C) 6x D) 12x E) 27x

Solution: Original perimeter = x   Hence original side = x/4   New side = 6x/4   New perimeter = 4*6x/4 = 6x   6xorrect Option: 6x4*6 /4= 
4*6 /4 = 6
6x   6xorrect Option: 6x
Answer: C
In a river flowing at 2 km/hr, a boat travels 64 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.  Select:
A) 10 hours
B) 12 hours
C) 14 hours
D) 24 hours
E) None of these

Solution: Explanation :   speed of the boat = 6 km/hr   Speed downstream = (6+2)= 
(6+2) = 8
8 km/hr   Speed upstream= (6-2)= 
(6-2) = 4
4 km/hr   Distance travelled downstream= Distance travelled upstream = 64 km   Total time taken = Time taken downstream + Time taken upstream   = (64/8) + (64/4) = = 24 hr. Answer : Option 24 hours
Answer: D
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If y ≠ 3 and 3q/y is a prime integer greater than 2, which of the following must be true?
I. q = y
II. y = 1
III. q and y are prime integers.  Pick one:
A) None  B) I only  C) II only  D) III only  E) I and III

Solution: 3q/y and if q=y then ans is 3 and 3 is prime number, which is greater than 2. so ans must be B. Please post ONone.
Answer: A
In the xy-plane, the point (-2, -1) is the center of a circle. The point (1, -1) lies inside the circle and the point (-2, 4) lies outside the circle. If the radius r of the circle is an integer, then r = Select:
A) 6
B) 5
C) 4
D) 3
E) 2

Solution: An easy way to solve this question will be just to mark the points on the coordinate plane.   You'll see that the distance between the center (-2, -1) and the point inside the circle (1, -1) is 3 units   (both points are on y=-1 line so the distance will simply be  1-(-2)= 
 1-(-2) = 3
3)   So the radius must be more than 3 units.   The distance between the center (-2,-1) and the point outside the circle (-2,4) is 5 units   (both points are on x=-2 line so the distance will simply be  4-(-1)= 
 4-(-1) = 5
5)   So the radius must be less than 5 units, which implies 3 < r < 5, thus as r is an integer then r=4.   Answer: 4.
Answer: C
Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/3 ,1/6 , and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?
Choose the correct choice from the following choices:
A) 1/18n	B) (n-1)/18n	C) 1/2n	D) (n+2)/2n	E) (3n-2)/2n

Solution: 1/3 * 1/6 * (1-1/n)   = 1/18 * (n-1)/n   = (n-1)/18n   Answer - (n-1)/18n
Answer: B
Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ?	Choose the correct choice from the following answers.
A) 7500 B) 7502 C) 7512 D) 2988 E) 7112

Solution: Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3   B's share = 25000 x 3/10 = Rs. 7500   7500nswer: 7500
Answer: A
he ratio between the sale price and the cost price of an article is 3:1. What is the ratio between the profit and the cost price of that article?  Select:
A) 2:1 B) 2:9 C) 2:4 D) 2:1 E) 2:5

Solution: Let C.P. = Rs. x and S.P. = Rs. 3x.   Then, Gain = Rs. 2x   Required ratio = 2x : x = 2:1.   2:1nswer:2:1
Answer: A
Boy sells a book for Rs. 630 he gets a loss of 10 %, To gain 10%, what should be the SP? Answers
A) 430  B) 450  C) 550  D) 770  E) 660

Solution: Cost price = 630/90 x 100 = 700   To gain 10% = 700 x 10/100 = 70   SP = CP + gain = 700 + 70= 
700 + 70 = 770
770   Answer :770
Answer: D
What is the difference between the place values of two 1's in the numeral 135.21	Choices:
A) 99.999	B) 100.2	C) 134	D) 99.99	E) 99.9

Solution: Required difference = 100-0.01= 
100-0.01 = 99.99
99.99   Answer is 99.99
Answer: D