MU-NLPC/Calc-aqua_rat huggingface dataset:
If I walk at 3 km/h, I miss the bus by 12 minutes. If I walk at 6 km/h, I reach 10 minutes before the arrival of the bus. How far I walk to reach the bus stand ?	Choose the correct option
A) 2.19 km  B) 2.22 km  C) 2.00 km  D) 1.19 km  E) 1.99 km

Solution: d = product of speed difference of time /difference of speed   d = 3x6/60[12âˆ’(âˆ’10)/6-3]   [Here, â€“ve sign indicates before the schedule time]   â‡’ d = 2.19 km   2.19 kmnswer 2.19 km
Answer: A
Eight persons in an organization including A and B were to be divided in two groups of 4 members each. The total number of groups which not containing both A and B is what fraction of the total number of groups which can be formed?
Choose the correct choice from the following choices
A) 1/4
B) 1/70
C) 3/14
D) 1/10
E) 11/14

Solution: The fraction is nothing but the probability..   Number to choose 4 out of 8= 8C4..   Number to choose A and B and 2 from remaining 6=6C2..   prob of A and B choosen=6C2/8C4= {6!/4!2!}/{8!/4!4!}..   6!4!4!/8!4!2!=3/2*7=3/14   Answer = 1-3/14 = 11/14   Answer : 11/14
Answer: E
A is a working partner and B is a sleeping partner in the business. A puts in Rs.5000 and B Rs.1000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?  Choose the most appropriate option:  A) 1978  B) 2707  C) 7728  D) 8160  E) 7291

Solution: 5000:1000 => 5:1   9600*10/100= 
9600*10/100 = 960
960   9600 - 960= 
9600 - 960 = 8_640
8640   8640*5/6= 
8640*5/6 = 7_200
7200 + 960= 
7200 + 960 = 8_160
8160   Answer: 8160
Answer: D
A car moves at the speed of 80 km/hr. what is the speed of the car in metres per second?	Choose the correct choice from the following options
A) 2/8
B) 2/9
C) 2/6
D) 2/4
E) 2/3

Solution: Answer: D   Explanation:Formula   For convert km/hr into m/sec multiply the speed with 5/18   For convert m/sec into km/hr multiply the speed with 18/5   80 × 5/18 ⇒ 2/2 × 2/9 m.sec.   Answer:2/9
Answer: B
If the simple interest on a sum of a money for 1 years at 4% per annum is rs 70 what is the compound interest on the sum of the same rate and same time	Choose the correct choice from the following options:
A) $856.38  B) $752.36  C) $523.98  D) $1822.8  E) $523.65

Solution: sum= 70*100/1*4=1750   amount=$(1750(1+4/100)^2)   =1700*26/25*26/25   =$1892.8   C.I=Rs.(1892.8-70)=$.1822.8   Answer ($1822.8)
Answer: D
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Pick:
A) 7500
B) 3388
C) 2665
D) 2888
E) 2661

Solution: 35%-----------L   65%-----------W   ------------------   30%----------2250   100%---------? => 7500   7500nswer: 7500
Answer: A
In how many ways the word "CALORIES" can be arranged?	Choose the correct answer
A) 40322
B) 40320
C) 45340
D) None
E) Cannot be determined

Solution: Explanation :   The required number of ways = 8!   = 40320   Answer : 40320
Answer: B
In a certain pond, 55 fish were caught, tagged, and returned to the pond. A few days later, 55 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choose the correct choice from the following options:	A) 400	B) 625	C) 1250	D) 1528	E) 10 000

Solution: The percent of tagged fish in the second catch is 2/55*100 = 3.64%.   We are told that 3.64% approximates the percent of tagged fish in the pond. Since there are 55 tagged fish, then we have 0.036x = 55 --> x = 1,528.   Answer: 1528.
Answer: D
A businessman earns $27800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be
Choose the correct answer:
A) $29000
B) $33500
C) $40200
D) $41000
E) $42300

Solution: (x - 27,800)/11 - x/12 = 1,200   x = 492,000   x/12 = 41,000   Answer: $41000.
Answer: D
How many kg of pure salt must be added to 30kg of 2% solution of salt and water to increase it to 10% solution ? Choose one:  A) 3/5  B) 4/3  C) 5/7  D) 2/3  E) 8/3

Solution: Amount of salt in 30kg solution = [(20/100)*30]kg=0.6kg   Let x kg of pure salt be added   Then , (0.6+x)/(30+x)=10/100   60+100x=300+10x   90x=240   x=8/3.   Answer is 8/3.
Answer: E
A courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 15 cm by 13 cm. The total number of bricks required is :  Select.
A) 16000	B) 18078	C) 11076	D) 11456	E) None of these

Solution: Explanation:   Number of bricks =11076ourtyard area /1 brick area   =(1800Ã—1200 /15Ã—13)=11076   Option 11076
Answer: C
Which one of the following numbers is exactly divisible by 11?
Choose the correct option:	A) 417269	B) 315624	C) 615624	D) 715624	E) 415624

Solution: 415624   415624 is exactly divisible by 11.
Answer: E
If a person walks at 25 km/hr instead of 10 km/hr, he would have walked 31 km more. The actual distance traveled by him is?  Choose the correct choice from the following answers
A) 30
B) 25
C) 20.67
D) 12.33
E) 19.48

Solution: Let the actual distance traveled is 'x' km   Then by given conditions, we have   x/10 = (x+31)/25   25x = 10x + 310   x = 20.67 km   Ans- 20.67
Answer: C
X, Y and Z invested Rs.3600, Rs.4800 and Rs.5400 respectively, in a partnership business. Find the share of X in profit of Rs.23000 after a year?	Pick one:
A) 6300  B) 6200  C) 6100  D) 6400  E) 6000

Solution: 6000xplanation:   3600:4800:5400   6:8:9   6/23 * 23000= 
6/23 * 23000 = 6_000
6000   6000)
Answer: E
A buffet consists of 5 main dishes and 4 side dishes. If a plate is created with 2 main dishes and 2 side dishes, in how many ways can the plates be formed? Choose the correct choice from the following options:
A) 36 B) 60 C) 66 D) 180 E) 575

Solution: Choose 2 main dishes from 5 main dishes and 2 side dishes from 3 side dishes:   2C5 * 2C4 = 10*6= 
10*6 = 60
60   Ans: 60
Answer: B
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.00. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Choices.
A) $960 B) $1,350 C) $1,725 D) $2,100 E) $2,250

Solution: Total Volume is 288000   Given LBH = 8*10*12.   the number of hats inside it = 288000/10 * 8 * 12 = 300.   price of each hat is 7.5 $ then total value is   300 * 7.0= 
  300 * 7.0 = 2_100
2100.   IMO option $2,100 is correct answer..
Answer: D
The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 12348 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?	Answers
A) a. 40	B) b. 100	C) c. 400	D) d. 1,000	E) e. 5,000

Solution: The surface area is 4.pi.r^2 (its area remember not volume)   as 4/3.pi.r^3=12348pi   r=21   so area = 4.pi.r^2= 1764.pi= 1764 x 3.14 = 5000 (approx)   e. 5,000
Answer: E
What is the range of all the roots of |x^2 - 6| = x ?
Pick one.
A) 4
B) 3
C) 2
D) 1
E) 5

Solution: we get 2 quadratic equations here ..   1) x^2-x-2=0 ....... roots 2 , -1   2) x^2+x-2=0 ........ roots -2, 1   Inserting each root in given equation , it can be seen that -1 and -2 do not satisfy the equations .   So value of x for given equation .... x2+ -2= 
2+ -2 = 0
0 ........ roots -2, 1   Inserting each root in given equation , it can be seen that -1 and -2 do not satisfy the equations .   So value of x for given equation .... x=6 or x=1   I guess range is   6-1= 
  6-1 = 5
5   5
Answer: E
Kailash loses 20% of his pocket money. After spending 25% of the remainder he has Rs 480 left. What was his pocket money? Answers:  A) Rs 600  B) Rs 800  C) Rs 900  D) Rs 1000  E) none of these

Solution: Let A be the pocket money,   A ( 1 + x/100) ( 1 + y/100) = 480 (Given)   Here x = - 20, y = - 25   Therefore,   A( 1 - 20/100) ( 1 - 25/100) = 480   A = (480 x 100 x 100) / (80 x 75) = Rs 800   ANSWER:Rs 800
Answer: B
Two persons starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?	Choose the correct choice from the following options.
A) 17 hrs  B) 22 hrs  C) 25 hrs  D) 12 hrs  E) 14 hrs

Solution: The relative speed of the boys = 5.5kmph – 5kmph   = 0.5 kmph   Distance between them is 8.5 km   Time= 8.5km / 0.5 kmph = 17 hrs   17 hrsnswer : 17 hrs.
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?	Choose the correct choice from the following answers.
A) 120 metres
B) 180 metres
C) 324 metres
D) 228 metres
E) 150 metres

Solution: Speed= 60 x	5/18	m/sec	= 50/3	m/sec.   Length of the train = (Speed x Time).   Length of the train = 50/3	x 9	m = 150 m.   Option 150 metres
Answer: E
The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 8th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?	Choose the most appropriate option:
A) 45 B) 40 C) 35 D) 30 E) 25

Solution: 1st year : 0-1 (age), we take age = 0 (as the question says that we have to(rounded down to the nearest integer))   2ndyear : 1-2 (age), we take age = 1   3rd year : 2-3 (age), we take age = 2   4th year : 3-4 (age), we take age = 3   5th year : 4-5 (age), we take age = 4   6th year : 5-6 (age), we take age = 5   7th year : 6-7 (age), we take age = 6   8th year : 7-8 (age), we take age = 7   Thus for the 3rd year = 50,   4th year = 50 -3= 
50 -3 = 47
47   5th year= 47-4= 
47-4 = 43
43   6th year= 43-5= 
43-5 = 38
38.   7th year=38-6= 
38-6 = 32
32   8th year=32-7= 
32-7 = 25
25   The correct answer is 25.
Answer: E
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A? Choose the correct choice from the following options:
A) 1/5	B) 1/25	C) 2/5	D) 3/5	E) Data inadequate

Solution: Explanation:   A = 2B => B = 1/2 A, so, AB = 2/25   1/2 A2 = 2/25   A2 = 4/25   A = 2/5   ANSWER IS 2/5
Answer: C
The measures of the 2 acute angles of a triangle are in the ratio of 3 : 6. What arethe measures of the 2 angles?
Choose the correct answer:
A) 20°
B) 70°
C) 60°
D) 120°
E) 140°

Solution: If the ratio of the two angles is 3:6, then the measures of two angles can be written as 3x and 6x. Also the two acute angles of a triangle is equal to 90°. Hence   3x + 6x = 90   9x = 90   x = 10   Measures of the two acute angles are   3x = 3 × 10 = 30°   6x = 6 × 10 = 60°   60°
Answer: C
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?	Select the correct option
A) 37  B) 27  C) 44  D) 26  E) 27

Solution: Explanation:   g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer: 44
Answer: C
5/9= 25/45 . which method did you use to determine whether this proportion is true or false?	Choose one:
A) true	B) neutral	C) false	D) not sure	E) none

Solution: 5/9= 25/45. cross multiplication:   5 * 45= 
  5 * 45 = 225
225, 25 * 9= 225,   we see that 225 are not equal to 225. so there is proportion. corrcet answer: (true)
Answer: A
The sum of the number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is ?  Choose the correct choice from the following answers
A) 60
B) 38
C) 26
D) 29
E) 11

Solution: Explanation:   We have : x + x% of 150 = 150   60nswer: 60) 60
Answer: A
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 86.49, the number of the member is the group is:
Select the correct option:
A) 93	B) 67	C) 77	D) 87	E) 97

Solution: Money collected =(86.49 x 100) paise = 8649 paise   numbers of members = 8649 squareroot = 93   93nswer 93
Answer: A
2. Abhishek started a business investing 50,000. After one year he invested another 30,000 and Sudin also joined him with a capital of 70,000. If the profit earned in three years from the starting of business was 87,500, then find the share of Sudin in the profit  Choose the correct choice from the following answers:
A) 37,500
B) 32,500
C) 38,281
D) 52,500
E) None of these

Solution: Ratio of Abhishek and Sudin for one month   = (50,000 × 36) + (30,000 × 24) : (70,000 × 24)   = (18,00,000 + 7,20,000) : 16,80,000 = 3 : 2   Hence share of Sudin in the profit earned from the business.   = 87,500/(3+2)×2 = 35,000   Answer None of these
Answer: E
Which of the following is two more than the square of an odd integer?  Pick:
A) 14,173
B) 14,361
C) 14,643
D) 14,737
E) 14,981

Solution: one of the given options should be a square if 2 is subtracted from it.   the options would be   (A) 14,171   (B) 14,359   (C) 14,641   (D) 14,735   (E) 14,979   We can solve this question with many approaches. Here are the 2 easiest methods.   Method 1:-   If a square has odd unit's digit, then it's ten's digit will always be even.   Only 14,641 satisfies this condition.   Method 2:-   If you know about palindromic numbers,   then you can clearly see that 14,641 is a palindromic square.   Answer:- 14,643
Answer: C
E and F have a data plan which gives them 200 GB every month. If E uses 7 GB every 9 days and F uses 5 GB every 4 days, how many GB will be unused after a 30 day month? Answer in fractions. Choose the correct choice from the following answers.
A) 365/6	B) 73/6	C) 35/6	D) 835/6	E) 200/6

Solution: Number of GB that E uses every day: 7/9   Number of GB that F uses every day: 5/4   Number of GB that E and F use every day: 7/9+5/4=73/36   Number of GB that E and F use in 30 days: 30x(73/36)=365/6   Number of GB remaining: 200-365/6=835/6   Answer is 835/6
Answer: D
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 12 minutes earlier. How far is the office from his house?
Pick:
A) 4 1/5 Km
B) 4 1/7 Km
C) 3 1/5 Km
D) 3 1/7 Km
E) 4 Km

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 4*6/2 * 20/6   = 24/2 * 20/60   = 10 * 2/5   = 20/5= 
20/5 = 4
4 Km   4 Km)
Answer: E
If the average (arithmetic mean) of x and y is 80, and z – x = 100, what is the average of y and z?	Choose the correct choice from the following answers:	A) 140	B) 100	C) 110	D) 120	E) 130

Solution: x+y/2 = 80   => x+y = 160   x = z - 100...sub this value   z-100+y = 160   =>z+y = 260   =>z+y/2 = 130   Answer : 130
Answer: E
John has taken four (4) tests that have an average of 83. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade? Choose the correct choice from the following answers:
A) 87	B) 90	C) 92	D) 95	E) 97

Solution: Traditional Method:   Total scored till now 83*4= 
83*4 = 332
332   Total score to avg 87 in 6 tests= 87*6= 
87*6 = 522
522   Total to be scored on 2 tests= 522-332= 
522-332 = 190
190   Avg on 2 tests= 190/2= 
190/2 = 95
95   Answer: 95
Answer: D
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 60 white marbles. How many red marbles could be in bag A?
Choose the correct choice from the following answers:
A) 1	B) 3	C) 4	D) 12	E) 8

Solution: 6 is the answer.   Bag A-   R:W:B = 2:6:9   Let W in bag A be 6K   Bab B -   R:W = 1:4   Let W in bag B be 4k   W = 60 = 6K+4k   => k =6   Total Red's in bag A will be 2K = 12   12
Answer: D
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choose the correct answer:
A) 5.2%
B) 5.4%
C) 5.6%
D) 6%
E) 6.5%

Solution: Cost Price of 1 toy = Rs. 375 = Rs. 31.25   12   Selling Price of 1 toy = Rs. 33   So, Gain = Rs. (33 - 31.25) = Rs. 1.75   Profit % = 1.75	x 100	%	=	28	% = 5.6%   5.6%)
Answer: C
Sachi invested amount of 8000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Sachi will get on the maturity of the fixed deposit.	Choose the correct choice from the following answers:
A) 8000 B) 8500 C) 8820 D) 8870 E) 8900

Solution: 8820I = (800*(1+5/100)^2   ==> 8820   ANSWER 8820
Answer: C
At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 15 males did not bring gifts to the party, how many females did bring gifts? Choose one:
A) 18
B) 28
C) 50
D) 68
E) 70

Solution: the correct method   total = 300..   70% of 300 = 210 got gifts..   90 did not get gift, out of which 15 are males, so remaining   90-15= 
  90-15 = 75
75 are females..   But 40% females brought gift, so 60% did not get it..   so 60%= 75, 100%= 75*100/60=125..   ans 40% of 125 =50   50
Answer: C
If a is the sum of b and c, then which one of the following must equal b – c?
Choices.
A) a+2c  B) a+c  C) a-c  D) a-2c  E) a+2c

Solution: Given a= b+c if you subtracts both side with -2c   a-2c = b-c   Answer : a-2c
Answer: D
Husband has prepared for a candle light dinner on the honeymoon for his wife. While they were having the dinner, a strong breeze flew through the open window and four candles out of ten were extinguished. After that, the husband closed the window.
How many candles were left in the end?  Pick one
A) 2 B) 3 C) 4 D) 5 E) 6

Solution: Solution:   Four   As the window was closed it is obvious that the six candles that were not extinguished were lit till they melted away entirely. Thus only four candles that were extinguished remain at the end.   Answer 4
Answer: C
Mr. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Mr. Jones must be one of them?
Choose one
A) 126
B) 252
C) 459
D) 3024
E) 4126

Solution: Total Ways of choosing the committee = Total Ways of choosing 4 out of 9 candidates leaving Mr.Jones as one of the selected candidate in advance   Total Ways of choosing 4 out of 9 candidates = 9C4 = 9!/(5!*4!) = 126   126nswer: option 126
Answer: A
There are cats got together and decided to kill the mice of 999975. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Pick
A) 941,1009
B) 991,1001
C) 995,1005
D) 791,1009
E) 931,1009

Solution: 999975 can be written as 1000000 â€“ 25   = 10002 â€“ 52 ie of the form a2-b2=(a+b)(a-b)   =(1000+5)*(1000-5)   = (1005)*(995)   Given that number of cats is less than number if mice.   So number of cats is 995 and number of mice were 1005   Answer 995,1005
Answer: C
The average of six numbers is 3.95. The average of two of them is 3.2, while the average of the other two is 3.85. What is the average of the remaining two numbers? Answers:  A) 4.5  B) 4.6  C) 4.7  D) 4.8  E) 4.9

Solution: Sum of the remaining two numbers   = (3.95 × 6) – [(3.2 × 2) + (3.85 × 2)]   = 23.70 – (6.4 + 7.7)   = 23.70 – 14.1 = 9.60   ∴ Required average = (9.6⁄2) = 4.8   Answer 4.8
Answer: D
How many shots of 1cm radius can be prepared from a sphere of 3cm radius? Pick one:	A) 33	B) 77	C) 27	D) 88	E) 121

Solution: 4/3 π * 3 * 3 * 3 = 4/3 π * 1 * 1 * 1 * x   x = 27   Answer: 27
Answer: C
A club wants to mix 30 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used? Choose the correct option:	A) 30	B) 40	C) 50	D) 60	E) 70

Solution: Let number of pounds of 5$ candy to be used be w   6 = (30*8 + 5*w)/(30 +w)   =>180 + 6w = 240 + 5w   => w = 60   Answer 60
Answer: D
How many even multiples of 25 are there between 249 and 501?
Pick one
A) 5
B) 6
C) 9
D) 10
E) 11

Solution: 250 = 10*25   500 = 20*25   The even multiples are 25 multiplied by 10, 12, 14, 16, 18, and 20 for a total of 6.   The answer is 6.
Answer: B
How many two letter words are formed using the letters of the word RAM? Choices.
A) 8  B) 1  C) 6  D) 4  E) 9

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is 3P2   = 3 * 2= 
3 * 2 = 6
6.   Answer: 6
Answer: C
Jim is able to sell a hand-carved statue for $550 which was a 35% profit over his cost. How much did the statue originally cost him?	Pick
A) $407.41	B) $412.40	C) $455.40	D) $474.90	E) $488.20

Solution: 550 = 1.35*X   X = 550/1.35 = 407.407407...   which rounds to $407.41, which is ($407.41).
Answer: A
Can you deduce the pattern and find the next number in the series?
2,6, 12, 20, 30, __?  Select the correct option:
A) 41  B) 45  C) 56  D) 49  E) 42

Solution: Solution:   42   42xplanation:   2=1*1+1   6=2*2+2   12=3*3+3   20=4*4+4   30=5*5+5   Thus the next number will be    6*6+6= 
 6*6+6 = 42
42   Answer 42
Answer: E
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Options
A) 37
B) 240
C) 288
D) 267
E) 211

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer: 240
Answer: B
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is :
Choose the correct choice from the following choices:	A) Rs. 5400	B) Rs.7200	C) Rs. 8400	D) Rs. 9600	E) Rs. 8600

Solution: Ratio of their shares = 22500 : 35000 = 9 : 14.   Deepak’s share = Rs. 13800 * 14/23   = Rs. 8400   ANSWER:Rs. 8400
Answer: C
A man walking at a rate of 10km/hr crosses a bridge in 3 minutes. The length of the bridge is? Pick:	A) 500	B) 650	C) 250	D) 111	E) 236

Solution: Speed = 10*5/18 = 50/18 m/sec   Distance covered in 5 minutes = 50/18 * 5 *60 = 500 m   500nswer is 500
Answer: A
Jill works as a waitress at the local diner where she earns an hourly wage of $6.00 per hour and a standard tip rate of 35% of the cost of the orders she serves. If she worked four 10-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?  Select:	A) 280	B) 300	C) 320	D) 350	E) 1120

Solution: Jill earns 6 dollars/hour and the hourly tip is (7/20)*40.   Jill thus earns 6*10+10*14 per day(or 6(10)+14(10)=20(14)=280).   Jill has worked for 4 days ->280*4=1120.   This matches answer choice 1120.
Answer: E
A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.	Choose the correct choice from the following answers:
A) 7/15
B) 4/8
C) 15/7
D) 6/7
E) 9/5

Solution: LET S BE THE S7/15MPLE SP7/15CE   THEN N(S)=NO OF W7/15YS OF DR7/15WING 2 B7/15LLS OUT OF   (6+4)= 
  (6+4) = 10
10C2=(10*9)/(2*1)= 
(10*9)/(2*1) = 45
45   LET E=EVENT OF GETTING BOTH B7/15LLS OF S7/15ME COLOUR   THEN N(E)=NO OF W7/15YS(2 B7/15LLS OUT OF SIX) OR(2 B7/15LLS OUT OF 4)   =(6C2+4C2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6= 
15+6 = 21
21   P(E)=N(E)/N(S)=21/45=7/15   7/15ns: 7/15
Answer: A
A team bought a total of 355 balls. If each player on the team bought at least 16 balls, then what is the greatest possible number of players on the team?	Choices
A) 21  B) 22  C) 23  D) 24  E) 25

Solution: 355/16=22 plus remainder.   The answer is 22.
Answer: B
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 10 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
Choose the correct choice from the following answers.
A) $144
B) $90
C) $72
D) $54
E) $48

Solution: The correct answer is $72.
Answer: C