MU-NLPC/Calc-aqua_rat huggingface dataset:
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit?	Choose one:
A) 3089	B) 3098	C) 3057	D) 3000	E) 3012

Solution: A:B:C = 5:6:4   Let the total profit = 100 - 30= 
100 - 30 = 70
70   5/15 * 70= 70/3   A share = 70/3 + 30 = 160/3   B + C share = 100 - 160/3 = 140/3   A-(B+C) = 160/3 - 140/3 = 20/3   20/3 ---- 200   100 ---- ? => 3000   Answer: 3000
Answer: D
If two numbers are in the ratio 2:3. If 20 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?  Answers:  A) A)10  B) B)20  C) C)25  D) D)30  E) E)40

Solution: 2:3   2x + 20 : 3x + 20 = 3 : 4   4[2x + 20] = 3[3x + 20]   8x + 80 = 9x + 60   9x - 8x = 80 - 60= 
80 - 60 = 20
20   Then smallest number is= 2   2x = 40   Correct Option 40
Answer: E
Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team Q, but each box of Team A’s has 60% fewer booklets than each box of Team Q’s. Which of the following could be the total number of booklets distributed by the two groups? Pick:
A) 2,000
B) 3,200
C) 4,100
D) 4,800
E) 4,900

Solution: Let x be the no of booklets in each box that team Q distributes. So, Team A has 60% fewer - 0.4x.   Let y be the no. of boxes distributed by team Q. So, Team A distributes 60% more - 1.6y   Total booklets distributed by team A = xy   Total booklets distributed by team Q=0.64xy   Total booklets distributed = xy+0.64xy=1.64xy   As no. of booklets can only be integer, plugging the answer choice equal to 1.64xy should give an integer.   Choice A - 1.64xy=2000; xy=2000/1.64 = doesn't provide an integer value.   Similarly all answer choices, except choice C, fail to provide an integer value.   4,100hoice 4,100 = 4100/1.64= 
4100/1.64 = 2_500
2500 and is the correct answer.
Answer: C
A is twice as good a work man as B and together they finish the work in 4 days. In how many days A alone can finish the work? Choose the correct choice from the following answers.
A) 3 B) 2 C) 7 D) 9 E) 6

Solution: WC = 2:1   2x + x = 1/4 => x = 1/12   2x = 1/6   A can do the work in 6 days.   Answer: 6
Answer: E
Set A consists of the integers from 1 to 12, inclusive, while set B consists of the integers from 5 to 15, inclusive. How many distinct integers do belong to the both sets at the same time?	Answers.
A) 8	B) 10	C) 12	D) 15	E) 9

Solution: 8 = {1,2,3,4, 5,6, 7, 8, 9, 10, 11, 12}   B = {5,6, 7, 8, 9, 10, 11, 12, 13, 14, 15}   Common elements = {5,6, 7, 8, 9, 10, 11, 12} = 8 elements   8nswer: Option 8.
Answer: A
Kyle is a lumberjack with 12 trees to cut down. How many ways can he cut down one or more of the trees today?	Choose the correct option:
A) 255  B) 4095  C) 1023  D) 8125  E) 513

Solution: Kyle can cut down one or more of 12 trees   => 2 ^ 12 - 1 = 4095   4095
Answer: B
There are 9 teams in a certain league and each team plays each of the other teams exactly once. What is the total number of games played?
Select the correct option
A) 24
B) 25
C) 28
D) 32
E) 36

Solution: 9C2 = 36   The answer is 36
Answer: E
The quantity of water needed to reduce 9 ml shaving lotion containing 50% alcohol to a lotion containing 30% alcohol is? Choose the correct option.
A) 6ml  B) 10ml  C) 5.5ml  D) 8ml  E) 9.3ml

Solution: Quantity of alcohol in 9ml lotion = 50/100 *9= 
50/100 *9 = 9/2 = around 4.5
4.5ml   Let the water added be x ml   4.5 / 9+x= 30/100   x = 6ml   6mlnswer is 6ml
Answer: A
What was the principal , if at 5% per annum the interest after 10 years amounted to Rs.3100 less than the sum lent?	Choose one:  A) 6200  B) 3000  C) 3000  D) 2000  E) 1000

Solution: P - 2336 = (P*10*5)/100   P = 6200   6200nswer: 6200
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?	Select
A) 1 kmph  B) 7 kmph  C) 8 kmph  D) 9 kmph  E) 6 kmph

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1 kmphnswer: 1 kmph
Answer: A
If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a30 is equal to ?	Choose the correct answer
A) a. 5*2^99-6
B) b. 5*2^99+6
C) c. 6*2^29 - 5
D) d. 6*2^99-5
E) e. 6*2^99-6

Solution: Here is my solution:   an+1=2an+5............(1)   lets ADD 5 to both sides....   so (an+1) + 5= 2 (an+5)....................taking 2 as common factor   now a1=1. so for n=1, an+5=6.......   putting n=1. we get both sides as,   a2 + 5= 2 * 6 ..............as ( an+5=6 .......(for n=1)..)   a2= 2 *6 - 5   a2= 2 * 2 *3 - 5   a2= 2^2 *3 - 5................. so with same progression   a30= 2^30 * 3 - 5   a30=2 * 2^29 * 3 - 5   a30= 6 * 2^29 - 5   c. 6*2^29 - 5
Answer: C
There are 9 kids and 5 chairs. In how many ways kids can occupy the chairs?	Choose the correct choice:	A) 1760	B) 1840	C) 1560	D) 1740	E) 15120

Solution: total kids = 9   total chairs = 5   1st chair can be occupy in 9ways   2nd chair can be occupy in 8ways   3rd chair can be occupy in 7ways   4th chair can be occupy in 6ways   5th chair can be occupy in 5ways   total number of ways =9*8*7*6*5= 
9*8*7*6*5 = 15_120
15120 ways   correct option is 15120
Answer: E
In an examination, a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination ? Choose the correct choice from the following choices
A) 12	B) 27	C) 26	D) 11	E) 22

Solution: Let the number of papers be x. Then, 63x + 20 + 2 = 65x or 2x   = 22 or x   = 11.   Answer: 11
Answer: D
The sum of two numbers is 62, and one of them is 12 more than the other. What are the two numbers?  Choose the correct option.
A) 36-48	B) 50-34	C) 60-24	D) 42-42	E) 25-37

Solution: In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.   We are told that the other number is 12 more, x + 12.   The problem states that their sum is 62:   word problem = 62   The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.   We have:   2x = 62 âˆ’ 12   = 50.   x = 50/2= 
50/2 = 25
25.   This is the first number. Therefore the other number is   x + 12= 25 + 12= 
25 + 12 = 37
37.   The sum of 25 + 37 is 62.   25-37
Answer: E
Molly and Max are driving at a rate of 100 kilometers per hour. What is their driving speed in miles per hour? [1km = 0.6 miles]  Select the correct option
A) 600
B) 60
C) 6
D) 0.6
E) None of the above

Solution: To calculate the equivalent of miles in a kilometer   0.6 kilometers= 1 mile   100 kilometers = (0.6)*100= 
(0.6)*100 = 60
60 miles   Speed in kilometers/hour= 60   Correct answer - 60
Answer: B
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A Pick one:
A) 168
B) 6289
C) 1268
D) 1184
E) 1232

Solution: Explanation:   B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 148 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 148= 3k + 148 => 2k = 296 => k = 148   The initial quantity of water in A = 8k = 8 * 148= 
8 * 148 = 1_184
1184 liters.   Answer: Option 1184
Answer: D
The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was	Choose the correct choice from the following.
A) Rs.12008
B) Rs.12000
C) Rs.12002
D) Rs.1229
E) Rs.12021

Solution: Explanation:   = Rs.12000   Answer: Rs.12000
Answer: B
On the x-y coordinate plane there is a parabola, y=x(6-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (1, 6) II. (3, 11) III. (5, 4)
Choose the correct choice from the following answers.
A) I only	B) II only	C) III only	D) I and II	E) I, II, and III

Solution: Since co-efficient of x^2 is negative, the parabola will be downward facing. So the parabola and the x axis will enclose some points where the y-values of the parabola are positive.   When x = 1, y = 5 lies on the parabola, so (1, 6) will not be enclosed by the parabola and x axis.   When x = 3, y = 9 lies on the parabola, so (3, 11) will not be enclosed by the parabola and x axis.   When x = 5, y = 5 lies on the parabola, so (5, 4) will be enclosed by the parabola and x axis.   The answer is III only.
Answer: C
In some quantity of ghee, 50% is pure ghee and 50% is vanaspati. If 20kg of pure ghee is added, then the strength of vanaspati ghee becomes 30%. The original quantity was?
Choose the correct option.
A) 25
B) 15
C) 30
D) 45
E) 20

Solution: Let the original quantity be x   then, vanaspati ghee in xkg = 50x/100 kg= x/2kg   (x/2)/(x+20) = 30/100   x/(2x+40) = 3/10   x = 30   Answer is 30
Answer: C
Raj goes to market to buy oranges. If he can bargain and reduce the price per orange by Rs.2, he can buy 30 oranges instead of 20 oranges with the money he has. How much money does he have ? Choose the most appropriate option
A) 28	B) 2	C) 6	D) 8	E) 1

Solution: Explanation: Let the money with Raj is M. So M/20−M/30=M/20−M/30=2. Check options. Option D satisfies.   Answer:2
Answer: B
A side of beef lost 25 percent of its weight in processing. If the side of beef weighed 540 pounds after processing, how many pounds did it weigh before processing?  Choose the correct choice from the following
A) 191	B) 355	C) 720	D) 840	E) 1,560

Solution: Let weight of side of beef before processing = x   (75/100)*x = 540   => x = (540 * 100)/75= 
(540 * 100)/75 = 720
720   Answer 720
Answer: C
A restaurant meal cost $36.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:	Choose the correct choice from the following answers.
A) $40 and $42
B) $39 and $42
C) $38 and 40
D) $37 and $39
E) $36 and $37

Solution: let tip=t   meal cost=36.50   range of tip = from 10% of 36.5 to 15% of 36.5 = 3.55 to 5.325   hence range of amount paid= 36.5+T= 40.05 to 41.825   $40 and $42NSWER:$40 and $42
Answer: A
There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 50%  Choose the correct choice from the following answers:	A) 40.8	B) 19.75	C) 20.75	D) 21.75	E) 22.75

Solution: 60*84/100= 
60*84/100 = 252/5 = around 50.4
50.40 lit milk that is 9.60 lit water   let x lit water will be added then   (60+x)*50/100=50.40   so x=40.8   40.8NSWER:40.8
Answer: A
On a certain transatlantic crossing, 40 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 50 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?  Choose the correct choice.
A) 40%  B) 50%  C) 60%  D) 80%  E) 90%

Solution: Let T be the total number of passengers.   Let x be the number of people with round trip tickets.   0.4T had round trip tickets and took their cars.   0.5x had round trip tickets and took their cars.   0.5x = 0.4T   x = 0.8T   The answer is 80%.
Answer: D
12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?	Choose the correct choice
A) 2 days	B) 7 days	C) 8 days	D) 9 days	E) 45 days

Solution: 1 man's 1 day work = 1/108   12 men's 6 day's work = 1/9 * 6 = 2/3   Remaining work = 1 - 2/3 = 1/3   18 men's 1 day work = 1/108 * 18 = 1/6   1/6 work is done by them in 1 day.   1/3 work is done by them in  6 * 1/3= 
 6 * 1/3 = 2
2 days.   2 daysnswer:2 days
Answer: A
Find a positive number, which when increased by 8 is equal to 128 times reciprocal of the number. Choices
A) 5 B) 6 C) 8 D) 7 E) 9

Solution: Explanation:   Let the number be x. Then,   x + 8 = 128 x (1/x) => x<sup>2</sup> + 8x - 128 = 0   => (x + 16)(x - 8) = 0   => x = 8   Answer: Option 8
Answer: C
If x and y are positive integers, then x/y is	Choose the correct option:
A) Always even  B) Always odd  C) Even whenever x+y is Even  D) Odd whenever x and y is odd  E) It cannot be determined

Solution: x and y are positive integers, then x/y is   Let's take odd as 25 and odd as 5.   IMO option B is correct answer..   If you consider your fourth scenario, that turns out to be even.   Hence option Odd whenever x and y is odd should be correct.
Answer: D
At Veridux Corporation, there are 210 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 135 male associates, how many female managers are there?	Choose the most appropriate option:
A) 15	B) 20	C) 25	D) 30	E) 55

Solution: Well, first letâ€™s take care of the â€œtotalsâ€. The numbers in the â€œtotalsâ€ row must add up. If 90 are females, the other 210 â€“ 90 = 120 must be males. Similarly, the numbers in the â€œtotalsâ€ column must add up. If 40 are managers, then the other 210 â€“ 40 = 170 must be associates.   Now, in the â€œassociateâ€ row, 135 + E = 170, which means E = 35 â€” the other 35 associates must be female.   Now, to find B, which is what the question is asking, we need only look at the sum in the â€œfemaleâ€ column: B + 35 = 90, which means B = 55. There are fifteen female managers in this company. Thus, the answer = (55).
Answer: E
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?	Choose one.
A) 50
B) 80
C) 100
D) 125
E) 250

Solution: Let old diameter be 4 , so radius is 2   Old area = 4π   New diameter is 6 , so radius is 3   New area = 9π   Increase in area is 5π   % increase in area = 5/4*100   So, % increase is 125%   Answer will be (125)
Answer: D
A man performs 1/2 of the total journey by rail, 1/3 by bus and the remaining 3km on foot. His total journey is
Choose one
A) 18km  B) 10km  C) 12km  D) 24km  E) 25km

Solution: Explanation:   Let the journey be x km   Then, 1x/2 + 1x/3 +3 =x   5x +18 =6x   X = 18km   18kmnswer: Option 18km
Answer: A
The sum of the ages of 5 children born at the intervals of 3 year each is 60 year. what is the age of the youngest child ?  Choose the correct choice from the following choices:
A) 4 year	B) 6 year	C) 10 year	D) None of these	E) 9 year

Solution: Solution   let the ages of the children be x,(x + 3),(x + 6),(x + 9) and (x + 12) year.   then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 60 â‡” 5 x = 30 â‡” x= 6.   âˆ´ Age of the youngest child = x = 6 years. Answer 6 year
Answer: B
Mani paid a sum of money for purchasing 40 pens, which he recovered in full when he sold 25 of them. What was his percentage of profit or loss per pen? Choose the correct choice from the following:
A) 50%  B) 60%  C) 70%  D) 65%  E) 55%

Solution: B   33.33%   If the sum he paid whilst purchasing 40 pens = A,   Then the Cost Price of each pen = A/40.   Since the amount he got whilst selling 25 pens is also = A   Then the Selling Price of each pen = A/25.   Since Selling Price > Cost Price, he made a profit.   Profit per pen = Selling Price - Cost Price = A/25 - A/40 = 3A/200.   Profit percentage per pen = Profit per pen / Cost per pen x 100 = (3A/200) / (A/40) x 100 = 60%. Answer : 60%
Answer: B
Narasimha, Madhu and pavan started a business by investing Rs.1,20,000, Rs.1,35,000 and Rs 1, 50,000 respectively. Find the share of Pavan, out of an annual profit of Rs.56,700.
Choose the correct option.
A) 21,0009 B) 21,008 C) 21,000 D) 21,002 E) 21,0382

Solution: Explanation:   Ratio of their investments = 120000 : 135000 : 150000 = 8 : 9 : 10   Share of Pavan = 10271027 × 56700 = 21,000   Answer: 21,000
Answer: C
TOM has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If TOM needs to pay exactly $128, what is the least number of bills he will need to use?	Choose the correct choice from the following
A) 557	B) 456	C) 16	D) 577	E) 586585

Solution: 128 is the total sum of money.   as we have 13 10 dollar bills so the closest we can get to 128 using the 10 dollar bills is by using 12 * 10 dollar bils   128-120= 
128-120 = 8
8   so now we need to get 8 from either 5 dollar bills or 1 dollar bills   8 - 5 (use only 1 5 dollar bill)= 3   so we can get 3 from using 3 $1 bills.   Hence 16 ( 12+1+3 )   ANSWER IS 16
Answer: C
Which of the following is a composite number ? Choose one
A) 2	B) 7	C) 15	D) 13	E) 19

Solution: Clearly 15 is a composite number. All others are prime. Ans : 15
Answer: C
What is the least value of x, So that 2x5472 is divisible by 9
Choose the correct choice from the following options
A) 7
B) 8
C) 9
D) 3
E) 2

Solution: Explanation:   The sum of the digits of the number is divisible by 9.   Then the number is divisible by 9.   2 + x + 5 + 4 + 7 + 2 = 20 + x   Least value of x may be '7',   So that the total 20 + 7= 
20 + 7 = 27
27   is divisible by 9.   7nswer: Option 7
Answer: A
A searchlight on top of the watchtower makes 4 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds? Choose the correct choice from the following options
A) 5/6
B) 4/5
C) 3/4
D) 2/3
E) 1/2

Solution: The searchlight completes one revolution every 15 seconds.   The probability that the man's area will be lit up is 5/15=1/3.   The probability that he will stay in the dark is 1-1/3=2/3   The answer is 2/3.
Answer: D
What could be the range of a set consisting of odd multiples of 3?	Choose the correct choice from the following answers:
A) 21	B) 24	C) 35	D) 62	E) 70

Solution: Range = the difference between the greatest and the smallest numbers in the sequence. Our sequence is odd and is a multiple of 7. Every number in that sequence can be represented like this: 3*(2n+1) where n is any positive integer.   Range = 3*(2m + 1) - 3*(2n + 1) = 3*2*(m-n) = 6 * (m-n).   m, n - any positive integers   The answer must be divisible by 6, which is only 24.   The correct answer is 24
Answer: B
Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 56 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 3 at its maximum rate ?
Pick.
A) 2hrs, 48mins	B) 6hrs, 32mins	C) 7hrs, 12mins	D) 13hrs, 4mins	E) 14hrs, 24mins

Solution: The rate of pump 1 = 4x job/minute.   The rate of pump 2 = 2x job/minute.   The rate of pump 3 = x job/minute.   Given that x+2x+4x=1/56 --> x=1/392 --> (time) = (reciprocal of rate) = 392 minutes = 6 hours and 32 minutes.   Answer: 6hrs, 32mins.
Answer: B
The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Select
A) 6  B) 9  C) 8  D) 4  E) 2

Solution: 3x + 5x + 7x = 45   x =3   3x = 9   Answer: 9
Answer: B
If the price has fallen by 20% what percent of its consumption be: increased so that the expenditure may be the same as before?	Choose the correct choice from the following answers:
A) A)11%	B) B)10%	C) 1/9 %	D) 1/11 %	E) 1/4%

Solution: 100 – 20 = 80   80------20   100------? => 1/4%   ANSW1/4%R:1/4%
Answer: E
The average of 10 numbers is calculated as 23. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?  Choose the correct choice from the following choices:
A) A)16	B) B)18	C) C)19	D) D)22	E) E)24

Solution: 24xplanation:   10 * 23 + 36 – 26 = 240=>240/10= 
240/10 = 24
24   24)
Answer: E
If it is 7:03 in the evening on a certain day, what time in the morning was it exactly 1,440,706 minutes earlier? (Assume standard time in one location.) Choose the correct answer
A) 7:09
B) 7:11
C) 7:17
D) 7:22
E) 7:34

Solution: 7:03 minus 1,440,706 must end with 7, the only answer choice which ends with 7 is C.   Answer: 7:17.
Answer: C
If the selling price of 8 articles is same as the cost price of 12 articles. Find the gain or loss percentage?
Choices:
A) 30% gain  B) 30% loss  C) 50% gain  D) 50% loss  E) 60% loss

Solution: Explanation:   Let the C.P of each article be Re 1. Then,   S.P of 8 articles = C.P of 12 articles = Rs. 12/-   Now, C.P of 8 articles = Rs. 8/-, S.p of 8 articles = Rs 12/-   Gain = Rs ( 12 - 10 ) = Rs 4/-.   Gain% = ( 4/8 * 100 )= 
( 4/8 * 100 ) = 50
50% Gain   Answer: Option 50% gain
Answer: C
A train started from station 'A' and proceeded towards station 'B' at a speed of 48 Km/hr. Forty-five minutes later another train started from station 'B' and proceeded towards station 'A' at 50 Km/hr. If the distance between the two stations is 232 Km, at what distance from station 'A' will the trains meet?
Answers.
A) 160KM  B) 108KM  C) 132KM  D) 144KM  E) 134KM

Solution: Train A started 45 min ago,by the time train B started,   It means Distance covered by the Train A in 45 min is   48*45/60= 
  48*45/60 = 36
36km covered,   now remaining distance=196km   since they are moving towards each other relative speed=48+50= 
48+50 = 98
98kmph   and time=196/98= 
196/98 = 2
2hrs   In 2hrs trainAcovered 96km distance and 36 km already covered=>96=36=132km   Hence,132 km from station A, trains meet eachother.   ANSWER:132KM
Answer: C
Find the coordinates
of the midpoint of the line segment joining the points
A(–3,2) and B(7,8)
Choose one
A) (2,5)	B) (1,5)	C) (2,4)	D) (3,5)	E) (4,5)

Solution: mid point of (2,5)(x1,y1) and B(x2,y2) can be calculated by   (x1+y1/2,x2+y2/2) hence ((-3+7)/2,(2+8)/2)=(2,5)   (2,5)NSWER:(2,5)
Answer: A
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is? Choices.
A) 225 km/hr
B) 50 km/hr
C) 99 km/hr
D) 88 km/hr
E) 66 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x = 50 km/hr.   Answer: 50 km/hr
Answer: B
A grocery store priced a gallon of milk at 25% above the wholesale price of $4. If a customer comes in with a coupon for 5% off milk, how much does that customer pay?	Choose the correct choice from the following options.
A) $4.95
B) $4.75
C) $5.05
D) $4.50
E) $5.25

Solution: Wholesale cost of milk = $4   Milk was priced at 25% above $4 = $5   % discount given by coupon = 5%   Customer paid = .95 * 5= 
.95 * 5 = 4.75
$4.75   Answer $4.75
Answer: B
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?  Choose the correct choice from the following:
A) 289	B) 500	C) 188	D) 666	E) 155

Solution: 70 = (P*4*7/2)/100   P = 500   Answer:500
Answer: B
If x and y are even integers, which of the following is an odd integer?	Choices.
A) xy +3 B) x(y − 2) C) x(x + 5) D) 3x + 4y E) (x + 2)(y + 1)

Solution: If a and b are even integers, then:   A. xy + 3: even + odd = odd   B. x(y− 2): even(even) = even   C. x(x+ 5): even(odd) = even   D. 3x + 4y: even + even = even   E. (x + 2)(y + 1): (even)(odd) = even   xy +3nswer is xy +3
Answer: A