MU-NLPC/Calc-aqua_rat huggingface dataset:
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 10 sec. What is the length of the fast train?	Choose the most appropriate option.
A) 55 7/6 m	B) 55 7/4 m	C) 55 7/2 m	D) 55 7/9 m	E) 55 5/9 m

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 10 = 500/9 = 55 5/9 m.Answer:55 5/9 m
Answer: E
When 15% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is	Choose the correct option:
A) 20 lakh tons  B) 80 lakh tons  C) 200 lakh tons  D) 800 lakh tons  E) None

Solution: Sol.   Let the production be x lakh tons.   Then, 15% of x - 10% of x = (40 - 30) lakh tons   ⇔ 5% of x = 10 lakh tons   ⇔ x = (10 x 100 / 5) = 200 lakh tons.   Answer 200 lakh tons
Answer: C
There are 27 different three-digit integers that can be formed using only the digits 1, 2 and 4. If all 27 of the integers were listed, what would their sum be?	Select:
A) 6693  B) 6793  C) 6893  D) 6993  E) 7093

Solution: There must be nine 1's in the hundreds place, nine 1's in the tens place, and nine 1's in the units place. This is also true for the 2's and 4's. Then the sum is:   9(111+222+444)=9*(777)= 
9*(777) = 6_993
6993.   The answer is 6993.
Answer: D
What is the probability of rolling tow six-sided dice, and getting a different number on each die?
Choose the correct choice from the following.
A) 1/12 B) 5/6 C) 4/9 D) 5/9 E) 7/18

Solution: MAGOOSHOFFICIAL SOLUTION   For the first die, we can roll any one of six numbers. For the second die, we can roll any number save for the number we rolled on the first die, giving us 5 possibilities. For the third die, we can roll four different numbers (we can’t roll the number we rolled on the first or second die.   6 x 5 = 30 possibilities out of 216 total possibilities. (For total possibilities we get 6 x 6 = 36).   30/36 = 5/6   Answer:5/6.
Answer: B
0, 5, 15, 30, 50, 75, 105, 140, ?What number should replace the question mark? Choices:
A) 180	B) 185	C) 190	D) 175	E) 170

Solution: 180 180add 5,10,15,20,25.
Answer: A
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 40 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?  Choose the correct choice from the following answers:
A) 64%  B) 68%  C) 72%  D) 76%  E) 80%

Solution: Let in May Lee family's total income =100   in May Mrs Lee's income =60   in May rest of the family's income = 40   In june Mrs Lees income = 60*140/100= 
60*140/100 = 84
84   In june Total income= 84+ 40= 
84+ 40 = 124
124   % of Mrs Lee's income= 84/124 =67.74   (68%)
Answer: B
Find the odd man out: 111, 133, 143, 155, 188, 200. Choose the correct choice from the following options:
A) 111
B) 143
C) 200
D) All of these.
E) tortilla chips

Solution: In each of the numbers the product of the first and the third digit is the middle one except 143.   1*1= 
1*1 = 1
1   1*3= 
1*3 = 3
3   1*5= 
1*5 = 5
5   1*8= 
1*8 = 8
8   2*0= 
2*0 = 0
0   ANSWER: 143
Answer: B
A construction company wants to number new houses using digit plates only. If the company puts an order for 1212 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1).	Choose the correct answer:	A) 260	B) 440	C) 556	D) 792	E) 1200

Solution: Run the numbers for houses. For the first 9 houses we need 9 signs.   For the next 90 we need 2 signs each or 180.   For the next 900 houses we need 3 signs each.   If we assume 300 homes, we will need 189 signs for the first 99 homes and then 603 signs for the 201 homes. So, we will use 792 signs for the first 300 homes and will have 420 signs remaining, which is enough for 42034203 or another 140 homes.   The total number of homes is 440   Answer: 440
Answer: B
If 20% of a = b, then b% of 20 is the same as Choices.
A) 2% of a B) 3% of a C) 4% of a D) 5% of a E) 7% of a

Solution: 20% of a = b   => b = 20/100a   b% of 20 = (b/100)20 = [(20/100a)/100]20   = (20 × 20 × a)/(100 × 100)   = 4a/100 = 4% of a   4% of a)
Answer: C
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is  Select.
A) 60 gallons B) 80 gallons C) 120 gallons D) 160 gallons E) None

Solution: Solution   Work done by the waste pipe in 1 minute   =1/15-(1/20+1/24)   = (1/15-11/20)   = - 1/40	[ - ve sigh means emptying]   Volume of 1/40 part	= 3 gallons.   Volume of Whole	= (3×40)   =120 gallons.   Answer 120 gallons
Answer: C
The price of commodity X increases by 45 cents every year, while the price of commodity Y increases by 20 cents every year. In 2001, the price of commodity X was $5.20 and the price of commodity Y was $7.30. In which year will the price of commodity X be 90 cents more than the price of commodity Y?	Choose the correct choice from the following
A) 2010 B) 2011 C) 2012 D) 2013 E) 2014

Solution: The price of commodity X increases 25 cents each year relative to commodity Y.   The price difference is $2.10 and commodity X needs to be 90 cents more than commodity Y.   $3.00 / 25 cents = 12 years   The answer is   2001 + 12= 
  2001 + 12 = 2_013
2013.   The answer is 2013.
Answer: D
An investment yields an interest payment of $216 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choose the correct answer
A) $28,300
B) $30,400
C) $28,800
D) $32,500
E) $35,100

Solution: Let the principal amount = P   Simple annual interest = 9%   Simple monthly interest = (9/12) = (3/4)%   (3/4)*(P/100) = 216   =>P = (216 *4 * 10^2 )/3   = 72*4*10^2   = 288 * 10^2= 28800   Answer $28,800
Answer: C
A group of 5 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 4 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x? Choose the correct choice from the following answers:
A) x/70	B) x/35	C) 3x/70	D) 3x/10	E) 4x/45

Solution: cost of boat per day = x   cost per person =x/5   if three more persons afre there, cost =x/9   difference = x/5-x/9   =4x/45   Ans 4x/45
Answer: E
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price? Choose the correct choice from the following options.
A) 82%
B) 52%
C) 12%
D) 19%
E) 22%

Solution: Original price = 100   12%P = 80   S = 80*(140/100)= 
80*(140/100) = 112
112   100 - 112= 12%   Answer:12%
Answer: C
A river 8m deep and 25 m wide is flowing at the rate of 8 kmph the amount of water that runs into the sea per minute is?  Answers:
A) 26666	B) 26166	C) 29666	D) 22666	E) 26699

Solution: Rate of water flow-8kmph--8000/60--133.33 m/min   depth of river--8m   width of river--25m   vol of water per min--133.33 *8*25---26666   26666nswer 26666
Answer: A
In January of 2016, there were 100 cats and 125 dogs in a town. In January of 2017, there were 115 cats and 150 dogs. By approximately what percent did the ratio of cats to dog decrease from the 2016 to 2017. Choose the correct choice from the following answers: A) 12.9% B) 11.0% C) 15% D) 18% E) 5%

Solution: 2016: cats/dogs = 100/125 =660/750   2017: cats/dogs = 115/150 =575/750   ASIDE: It's useful to write both ratios with the same denominator. This allows us to IGNORE the denominator and focus solely on the numerators.   So, our ratio went from 660/750 to 575/750   Ignoring the denominators, we went from 660 to 575   The percent change = 100(difference in values)/(original value)   = (100)(660-575)/660   = (100)(85)/660)   ≈ 12.878...   12.9%nswer: 12.9%
Answer: A
In a party every person shakes hands with every other person. If there were a total of 171 handshakes in the party then what is the number of persons present in the party ?	Select:	A) 15	B) 16	C) 17	D) 18	E) 19

Solution: 19xplanation :   Let the number of persons be n   âˆ´ total handshakes = nC2 = 171   n(n-1)/2 = 171 âˆ´ n = 19   Answer : Option 19
Answer: E
A goods train runs at the speed of 72 kmph and crosses a 230 m long platform in 26 seconds. What is the length of the goods train?  Choose the correct choice from the following answers:
A) 230 m  B) 270m  C) 643m  D) 832m  E) 290m

Solution: Speed =	(72 x	5/18)m/sec	= 20 m/sec.   Time = 26 sec.   Let the length of the train be x metres.   Then,	x + 230/26	= 20   x + 230 = 520   x = 290.   Answer:290m
Answer: E
In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (4,-3), (4, 7), (12, 2), (12,-7)? Select.
A) 64  B) 68  C) 72  D) 76  E) 80

Solution: By graphing the points, we can see that this figure is a trapezoid. A trapezoid is any quadrilateral that has one set of parallel sides, and the formula for the area of a trapezoid is:   Area = (1/2) × (Base 1 + Base 2) × (Height), where the bases are the parallel sides.   We can now determine the area of the quadrilateral:   Area = 1/2 × (10 + 9) × 8 = 76.   The answer is 76.
Answer: D
Find the H.C.M of the fractions 1/3, 3/5 and 7/12	Choose the correct answer.
A) 1/30 B) 1/60 C) 1/15 D) 1/20 E) 1/34

Solution: Explanation:   H.CF = H.C.F of numarator/L.C.M of denominator   H.C.F = H.C.F of 1, 3, 7 / L.C.M of 3, 5, 12   H.C.F = 1/60   Answer: Option 1/60
Answer: B
A school has 4 section of Chemistry in Class X having 70, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
Choose the correct choice from the following.
A) 50.9	B) 52.9	C) 51.9	D) 53.25	E) None of the above

Solution: Required average marks   = 70Ã—50+35Ã—60+45Ã—55+42Ã—45/70+35+45+42   = 3500+2100+2475+1890/192   = 9965â„192 = 51.90   Answer 51.9
Answer: C
A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work? Choose the correct choice from the following answers
A) 15 B) 66 C) 77 D) 88 E) 11

Solution: One days's work of A, B and C = 1/90 + 1/30 + 1/45   = (1 + 3 + 2)/90 = 1/15   A, B and C together can do the work in 15 days.   15nswer:15
Answer: A
If shares of two persons in profits are Rs.800 and Rs.600 then ratio of their capitals is Choose the correct choice.
A) 3:4 B) 2:3 C) 4:3 D) 1:3 E) 1:5

Solution: total profit =1000   ratio=800/600   =4:3   ANSWER:4:3
Answer: C
The ratio, by volume, of soap to alcohol to water in a certain solution is 20:50:80. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain? Choose the correct choice.
A) 520
B) 640
C) 700
D) 750
E) 800

Solution: soap:alcohol   Initial ratio soap:alcohol: water --> 20:50:80   Initial soap:alcohol = 20/50 =20:50   after doubled soap:alcohol =2* 20/50 = 40:50   Initial soap:water = 20/80=20:80   after halved soap:water: 1/2 * 20/80 = 10/80 = 10:80   After soap: alcohol:water --> 40:50:320-->4:5:32   given alcohol 100 cubic centimeter.   ratio is 80:100:640(4:5:32)   For 100 cubic centimeter of Alcohol --- 640cubic cm water is required.   Answer-640
Answer: B
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Choose the correct option
A) 1/5	B) 3/5	C) 1/8	D) 5/8	E) 3

Solution: Suppose the vessel initially contains 8 litres of liquid.   Let x litres of this liquid be replaced with water.   Quantity of water in new mixture = (3 -(3x/8)+ x)litres   Quantity of syrup in new mixture = (5 - 5x/8) litres   Therefore, (3 - (3x/8)	+ x)	= 5 -	5x/8)   = 5x + 24 = 40 - 5x   = 10x = 16   = x = 8/5   So, part of the mixture replaced = (8/5 x 1/8)= 1/5   1/5nswer is 1/5.
Answer: A
All of the citizens of a country have a eight-character or nine-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?	Choose one.
A) 36^17
B) 35(36^9)
C) 37(36^9)
D) 35(36^8)
E) 37(36^8)

Solution: The number of possible 8-digit codes is 36^8.   The number of possible 9-digit codes is 36^9.   The total sum is 36^8 + 36^9 = 36^8(1+36) = 37(36^8)   The answer is 37(36^8).
Answer: E
A and B started a partnership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?	Select:	A) 5 : 6 : 10	B) 6 : 10 : 5	C) 6 : 5 : 10	D) 10 : 6 : 5	E) none

Solution: Sol.   Let the initial investments of A and B be 3x amd 5x.   A : B : C = (3x * 12) : (5x * 12) : (5x * 6) = 36 : 60 : 30 = 6 : 10 : 5.   Answer 6 : 10 : 5
Answer: B
Find the compound ratio of (2:3), (6:11) and (11:5) is Pick:
A) 3:2
B) 2:1
C) 1:2
D) 4:5
E) 2:3

Solution: Required ratio = 2/3 * 6/11 * 11/5 = 2/1 = 4:5   Answer is 4:5
Answer: D
1=1,2=2,3=9,4=16,5=25, then 9=?	Select:
A) 1
B) 255
C) 3
D) 445
E) 235

Solution: 1=1,2=2,3=9,4=16,5=25, then 9=?   9=3   check the third eqn.   ANSWER:3
Answer: C
A miniature gumball machine contains 4 blue, 3 green, and 3 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?  Pick
A) 2/5	B) 3/5	C) 3/10	D) 7/30	E) 11/30

Solution: The total number of ways to dispense 3 gumballs is 10C3=120.   The number of ways to choose one of each color is   4*3*3= 
  4*3*3 = 36
36.   P(dispensing one of each color)=36/120=3/10.   The answer is 3/10.
Answer: C
A can do a work in 15 days and B in 20 days. If they work on it together for 8 days, then the fraction of the work that is left is	Choose the most appropriate option
A) 8/17	B) 7/15	C) 3/15	D) 8/15	E) 1/15

Solution: Person ( A ) ( B ) ( A+B )   Time - ( 15 ) ( 20 ) (-)   Rate - ( 20 ) ( 15 ) ( 35 )   Work -(300) (300) (300)   therefore A+B requires (300/35) days to complete entire work   For 1st 4 days they work  35 * 8= 
 35 * 8 = 280
280   Remaining work is 300 - 280= 
300 - 280 = 20
20   Remaining fraction of work is= 20/300 = 1/15   Answer 1/15
Answer: E
The ratio of the arithmetic mean of two numbers to one of the numbers is 3:5. What is the ratio of the smaller number to the larger?	Pick: A) 1:5 B) 1:4 C) 1:3 D) 1:2 E) 2:3

Solution: let the numbers be a,b   acc. to problem,   (a+b)/2∗a(a+b)/2∗a = 3/53/5   1/21/2 + b/2∗ab/2∗a = 3/53/5   b/ab/a = 1/51/5   Ans. 1:5
Answer: A
Find the cost of fencing around a circular field of diameter 34 m at the rate of Rs.2 a meter?  Choose one:
A) 215
B) 212
C) 278
D) 279
E) 222

Solution: 2 * 22/7 * 17 = 106   106 * 2   = Rs.212   Answer: 212
Answer: B
Entry fee in a zoo is $10. Later this was reduced by 50% which increased the sale by 40%. The percentage increase in the number of visitors is?
Choose the most appropriate option:  A) 100%  B) 50%  C) 180%  D) 200%  E) 150%

Solution: Let the total original sale be $1000   Then original number of visitors = 100   New number of visitors = 1400/5= 
1400/5 = 280
280   Increase %= 180%   Answer is 180%
Answer: C
If 20% of A is the same as 25% of B, then A : B is :	Choose the correct choice from the following
A) 3:4
B) 4:3
C) 5:4
D) 6:7
E) 5:7

Solution: Expl : 20% of A I= 25% of B =20A/100 = 25B/100 = 5/4 = 5:4   Answer:5:4
Answer: C
There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability R that all three secretary are assigned at least one report?
Pick one:
A) 8/9 B) 64/81 C) 4/9 D) 16/81 E) 5/9

Solution: I got the same answer: Here's my reasoning   First Report you have 3 choices   Second Report you have 2 choices   Third Report you have 1 choice   Fourth report 3 choices again   Then total number of ways is: 3*2*1*3=3^2*2   This is not correct. You have assumed that the 4th report must go to someone who already has a report. There is no such constraint. You can easily give the 1st and 2nd reports to secretary 1, 3rd report to secretary 2 and 4th report to secretary 3. But you have ignored all such cases.   The number of ways of ensuring at least one report goes to each secretary is 44/92 (select 2 reports out of 4 which go to the same person)*34/91 (select the person who must type 2 reports)*2! (since you have 2 reports left which you must distribute to the 2 remaining people such that each person gets one) = 36   Required probability R= 36/81.4/9
Answer: C
In the "Big-Reds" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?
Answers.
A) 1.
B) 15
C) 17
D) 20
E) 23

Solution: Total Vehicles = 56   Buses = 18   Private Cars = 38   Total red vehicles = 32   Total red buses = 17   Total Red cars = 15   Total cars that are not red = 38 - 15= 
38 - 15 = 23
23   Correct Option: 23
Answer: E
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a12?	Options
A) 100
B) 55
C) 23
D) 19
E) 1

Solution: As stated above, (a1+a2+a3......+a12)/12=12   therefore a1+a2+a3.......a12=144 (1)   using the same logic, we got a1+a2+a3..........+a11=121 (2)   (2)-(1) we got a12=23   23
Answer: C
The number of female students in a college in the previous year was 350. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
Choose the correct choice.
A) 1000 B) 1200 C) 1400 D) 1600 E) 1800

Solution: Let x be the number of male students last year. The number of male students this year is 2x.   Let y be the number of female students this year.   x/350 = 2(2x/y)   y = 1400   The answer is 1400.
Answer: C
The average weight of a group of boys is 30 kg. After a boy of weight 40 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choose the correct choice:
A) 14	B) 5	C) 6	D) 7	E) 9

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 40 kg joins the group, total weight of boys = 30x + 40   So 30x + 40 = 31(x + 1) = > x = 9.   Answer: 9
Answer: E
Tough and Tricky questions: Word Problems.
It takes Sarah 12 minutes to do one oil change, and it takes Alice 8 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
Select the correct option.
A) 09:24 a.m.
B) 10:42 a.m.
C) 12:00 a.m.
D) 1:00 p.m.
E) 2:00 p.m.

Solution: LCM of 812   8 = 2 * 2 * 2   12 = 2 * 2 * 3   LCM = 2 * 2 * 2 * 3= 
2 * 2 * 2 * 3 = 24
24 minutes   92409:24 a.m.M   09:24 a.m.
Answer: A
The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.10 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker? Choose the correct choice from the following:
A) 12
B) 15
C) 16
D) 28
E) 29

Solution: Option #1: $0.75/crossing....Cross twice a day = $1.5/day   Option #2: $0.30/crossing....Cross twice a day = $0.6/day + $13 one time charge.   If we go down the list of possible answers, you can quickly see that 14 days will not be worth purchasing the sticker. 1.5x14 (21) is cheaper than 0.6x14 +13 (21.4)...it's pretty close so let's see if one more day will make it worth it... If we raise the number of days to 15, the sticker option looks like a better deal...1.5x15 (22.5) vs 0.6x15 + 13 (22). 12nswer: 12
Answer: A
if sum of two no. is 12 and subtraction to that is 4.so how much min. should added to smaller no. to make it even?  Choose the correct choice
A) 1 B) 2 C) 0.5 D) 1.5 E) 0

Solution: let smaller no. be x.   bigger no. =12-x.   12-x-x=4.   12-2x=4   2x=8,x=4.   so 4 is itself even no.so,zero should be added.   answer 0
Answer: E
Find the value for x from below equation: x/3=-2? Choose the correct choice from the following choices
A) -6	B) 1	C) -2	D) -3	E) 4

Solution: 1. Multiply both sides by 3:   x*3/3= -2/3   2. Simplify both sides:   x = -6   -6
Answer: A
40% of a number is more than 20% of 650 by 190. Find the number?	Options:
A) 299	B) 277	C) 800	D) 289	E) 271

Solution: (40/100) * X – (20/100) * 650 = 190   2/5 X = 320   X = 800   Answer:800
Answer: C
The units digit of (35)^(87) + (93)^(49) is: Pick:	A) 2	B) 4	C) 6	D) 8	E) 0

Solution: The units digit of powers of 3, cycles in a group of 4: {3, 9, 7, 1}   49 has the form 4k+1, so the units digit of 93^49 is 3.   The units digit of powers of 5 is always 5.   3+5= 
3+5 = 8
8, so the units digit is 8.   The answer is 8.
Answer: D
There are 9 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Choose the correct option.
A) 90
B) 120
C) 540
D) 180
E) 200

Solution: Number of ways of selecting 2 fiction books = 95402   Number of ways of selecting 2 non fiction books = 65402   95402 * 65402 = 36 * 15= 
36 * 15 = 540
540   Answer: 540
Answer: C
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.  Choose the correct choice from the following answers:  A) 276.25  B) 256.25  C) 256.29  D) 236.25  E) 256.22

Solution: Let the principal be Rs.P   S.I at 5% p.a in 8 years on Rs.P = Rs.500   (P)(8)(5)/100 = 500   P = 1250   C.I on Rs.2P i.e., Rs.2500 at 5% p.a in two years   =2500{ [1 + 5/100]2 - 1} = 2500{ 212 - 202 /202}   = 2500/400(441 - 400)   = 25/4(41) = 1025/4 = Rs.256.25.Answer:256.25
Answer: B
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 7 boys when No boy gets more than one prize?
Select:	A) 112	B) 114	C) 117	D) 210	E) 217

Solution: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 7 ways. The second in 6 ways and the third in 5 ways. But fundamental principle, (7 x 6 x 5) ways = 210 ways   210
Answer: D
There are three guys who have equal number of bullets. All of them shoot 6 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had? Choices.
A) 18
B) 19
C) 20
D) 21
E) 27

Solution: let initially each was having x bullets   they shot 6 bullets   so 3x-18=x   x=9   so each was having 9 bullets.   total was 27   ANSW27R:27
Answer: E
An estate pay would be divided among five sons with the remainder donated to charity. One stipulation in the estate is that no one among the sons can receive an amount within 15% of another's amount. If one of the sons received $10,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the five sons?
Select the correct option
A) $4096
B) $4804
C) $7892
D) $6736
E) $5736

Solution: 1st - 10,000.   2nd - 0.85*10,000 = 8500   3rd - 0.85*8,500 = 7,225   4th - 0.85*7,225 = ~6,141.25   5th - 0.85*6,141.25 = ~5,220.0625   Range = 10,000 - 5,220 = 4,780   Answer: $4804.
Answer: B