MU-NLPC/Calc-aqua_rat huggingface dataset:
Tickets to a certain concert sell for $20 each. The first 10 people to show up at the ticket booth received a 40% discount, and the next 20 received a 15% discount. If 45 people bought tickets to the concert, what was the total revenue from ticket sales? Pick
A) $600 B) $760 C) $850 D) $980 E) $1,140

Solution: Price of 1 ticket = 20$   Revenue generated from sales of first 10 tickets = 10 * (60/100 * 20 )   = 10 * 12= 
10 * 12 = 120
120   Revenue generated from sales of next 20 tickets= 20 *(85/100 * 20 )   =20*17= 
20*17 = 340
340   Revenue generated from sales of last 15 tickets= 20 * 15= 
20 * 15 = 300
300   Revenue generated from sales of 45 tickets= 120 + 340 + 300= 
120 + 340 + 300 = 760
760 $   Answer $760
Answer: B
A can finish a piece of work in 12 days. B can do it in 20 days. They work together for 9 days and then A goes away. In how many days will B finish the work?
Pick one:
A) 6 days
B) 4 days
C) 5 days
D) 3 days
E) 7 days

Solution: 9/12+ (9 + x)/20 = 1 => x = 5 days   Answer: 5 days
Answer: C
Positive integer x has y factors; 3x has 3 factors; Which of the following values can y take?
I. 1
II. 2
III. 3 Choose the most appropriate option
A) I or II  B) I only is true  C) II only is true  D) II or III  E) I or III

Solution: Squares have odd number of factors.The square which is a multiple of 3 is 9.   3 has factors 1,3 .   Therefore 2 factors   Answer II only is true
Answer: C
A, B and C, each working alone can complete a job in 2, 4 and 6 days respectively. If all three of them work together to complete a job and earn $2500, what will be C's share of the earnings? Choose the correct choice from the following:	A) $1206.60	B) $1363.63	C) $1263.63	D) $1463.53	E) $1163.03

Solution: The dollars earned will be in the same ratio as amount of work done   1 day work of C is 1/6 (or 2/12)   1 day work of the combined workforce is (1/2 + 1/4 + 1/6) = 11/12   C's contribution is 2/9 of the combined effort   Translating effort to $ = 6/11 * 2500 = $1363.63   hence:$1363.63
Answer: B
The product of all the prime numbers less than 15 is closest to which of the following powers of 10?  Pick one
A) a) 10^4  B) b) 10^8  C) c) 10^7  D) d) 10^6  E) e) 10^5

Solution: Group these numbers so as to get product close to a multiple of 10, so they can be rewritten as (2*5)(3*7)(11*13) or 10*21*143   Now take out power of 10 from each number and rewrite   10*10*100*(1*2.1*1.43) or 10^4*(1*2.1*1.43)== 3.03*10^4   Which is greater than 10^4   a) 10^4.
Answer: A
The average runs scored by a batsman in 30 matches is 50. In the next 15 matches the batsman scored an average of 26 runs. Find his average in all the 45 matches?
Choices:	A) 31	B) 42	C) 29	D) 97	E) 27

Solution: Total score of the batsman in 30 matches = 1500.Total score of the batsman in the next 15 matches = 390.Total score of the batsman in the 30 matches = 1890.Average score of the batsman = 1890/45= 
1890/45 = 42
42.Answer: 42
Answer: B
Depreciation applicable to an equipment is 20%.The value of the equipment 3 years from now will be less by	Choose the correct choice from the following answers
A) 48.8%	B) 47.8%	C) 46.8%	D) 49.8%	E) 45.8%

Solution: Value after 3 years will be 0.8^3 = 0.512 times the present value.   so it will be less by 48.8%.   48.8%NSWER:48.8%
Answer: A
A pair of articles was bought for $50 at a discount of 40%. What must be the marked price of each of the article?
Pick
A) $25  B) $15  C) $29.65  D) $35.95  E) $45.62

Solution: S.P. of each of the article = 50/2= 
50/2 = 25
$25   Let M.P= $x   60% of x = 25   x = 25*.6= 
25*.6 = 15
$15   Answer is $15
Answer: B
When simplified, the product (1 – 1/2) (1 – 1/3) (1 – 1/4)…… (1 – 1/n) gives:  Choose the correct choice from the following options
A) 1/n B) 2/n C) 2(n – 1)/n D) 2/n(n + 1) E) 3/n(n + 1)

Solution: 1/2 x 2/3 x 3/4 x …..x (n – 1)/n   = 1/n   1/nNSWER:1/n
Answer: A
A person travels equal distances with speed of 3 km/hr, 4 km/hr and 5 km/hr and takes a total of 47
minutes. Find the total distane	Choose the correct choice.
A) 3 km
B) 4 km
C) 6 km
D) 9 km
E) None of these

Solution: Explanation:   Let the distance be 3x km,   then,   x3+x4+x5=476047x60=4760x=1   So total distance = 3*1= 
3*1 = 3
3 Km   3 kmnswer: 3 km
Answer: A
How long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length?  Pick one:
A) 33
B) 72
C) 55
D) 82.5
E) 62

Solution: Explanation:   T = (660 + 165)/36 * 18/5= 
(660 + 165)/36 * 18/5 = 165/2 = around 82.5
82.5   Answer: Option 82.5
Answer: D
What is the greatest prime factor of 1+2+3+。。。+106? Choose one.
A) 131	B) 127	C) 99	D) 101	E) 107

Solution: find the sum from direct formula = n(n+1)/2 = 106(106+1)/2 = 53*107...   107 is a PRIME number, so ans is 107..   101 is the answer
Answer: D
Sum of the squares of 3 no. is 252 and the sum of their products taken two at a time is 116. Find the sum?  Select:
A) 24  B) 33  C) 22  D) 20  E) 21

Solution: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 252 + 2* 116   a + b + c = âˆš484 = 22   Answer 22
Answer: C
How many different ways can 2 students be seated in a row of 3 desks, so that there is always at least one empty desk between the students? Choose the correct answer
A) 2	B) 3	C) 4	D) 6	E) 12

Solution: 1 ways to seat the students:   with two empty seats between   1 empty w/ one student on the left most   1 empty....right most   two students can be interchanged   1x2=2   2
Answer: A
After a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 85% full. If the original contents of the reservoir totaled 220 billion gallons, the reservoir was approximately what percentage full before the storm?	Answers.
A) 45% B) 48% C) 55% D) 58% E) 65%

Solution: When the storm deposited 120 billion gallons, volume of water in the reservoir = 220 + 120= 
220 + 120 = 340
340 billion gallons   If this is only 85% of the capacity of the reservoir, the total capacity of the reservoir= 340/0.85= 
340/0.85 = 400
400 billion gallons   Therefore percentage of reservoir that was full before the storm= (220/400)*100= 
(220/400)*100 = 55
55%   Option 55%
Answer: C
What is the ratio of the volumes of a right cylinder to that of a right cone having equal diameters?  Choices:  A) 1:3  B) 3:1  C) 2:3  D) 3:2  E) None of these

Solution: SOLUTION :   volume of cylinder : volume of cone   pr2h : 1/3 pr2h = 3 : 1   ANSWER IS 3:1
Answer: B
If Greg buys 6 shirts, 4 trousers and 2 ties, the total cost is $80. If Greg buys 4 shirts, 2 trousers and 2 ties, the total cost is $140. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties?	Options:
A) $60 B) $64 C) $75 D) $110 E) Cannot be determined

Solution: Solution: 6x+4y+2z=80 4x+2y+2z=140   adding both the equations= 10x+6y+4z=220   5x+3y+2z=110   ans $110
Answer: D
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choose the correct option.
A) 20 m B) 60 m C) 50 m D) 45 m E) 65 m

Solution: Let breadth = x metres.   Then, length = (x + 20) metres.   Perimeter = 5300 m = 200 m.   26.50   2[(x + 20) + x] = 200   2x + 20 = 100   2x = 80   x = 40.   Hence, length = x + 20 = 60 m   60 m
Answer: B
How many of the positive factors of 85 , 105 and how many common factors are there in numbers?	Choose the correct choice from the following options:
A) 5	B) 4	C) 2	D) 3	E) 1

Solution: factors of 85 - 1, 5, 17, 85   factors of 105 - 1, 3, 5, 7, 15, 21, 35, 105   2omparing both, we have two common factors of 85 and 105- 1,5   Answer(2)
Answer: C
The average weight of A, B and C is 44 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:	Select
A) 33 kg	B) 34 kg	C) 32 kg	D) 36 kg	E) 37 kg

Solution: Let A, B, C represent their respective weights.   Then, we have: A + B + C = (44 x 3) = 132 .... (i)   A + B = (40 x 2) = 80 .... (ii)   B + C = (43 x 2) = 86 ....(iii)   Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)   Subtracting (i) from (iv), we get : B = 34.   B's weight = 34 kg.   34 kg
Answer: B
If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value D of z - x? Choices:
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: x<y<z and="" be="" can="" closest="" could="" each="" even="" find="" for="" if="" is="" least="" minimum="" need="" number="" number,="" odd="" other.="" possible="" some="" that="" the="" then="" to="" value="" values="" we="" what="" x="" y-x="" z="" z-x;="" z.="">5; y>x+5; minimum value for y</y<z>=x+5+2=x+7[Note: x+5 is as even+odd=odd and nearest odd greater than x+5 is x+5+2]   Minimum value for z=y+2=x+7+2=x+9 [Note: z=y+2 because both z and y are odd. 9ifference between two odd numbers is 2]   9=z-x = x+9-x= 9   Ans:9
Answer: D
John and Lewis leave Chennai for Bangalore simultaneously at 8 P.M in the night driving in two cars at speeds of 50 mph and 70 mph respectively. As soon as Lewis reaches Bangalore he returns back to Chennai along the same route and meets John on the way back. If the distance between the two cities is 210 miles, how far from Chennai did John and Lewis meet?	Choices
A) 200 miles	B) 140 miles	C) 150 miles	D) 149 miles	E) 50 miles

Solution: Time taken by Lewis to reach Bangalore = 210/70= 
210/70 = 3
3 hours   In 3 hours, John travels   50*3= 
  50*3 = 150
150 miles   So distance at which they meet should be greater than 150 miles.   Only C satisfies.   Answer is 150 miles.
Answer: C
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals?  Choose the correct answer:	A) 10:1	B) 9:1	C) 72:1	D) 8:1	E) None of these

Solution: Explanation :   Initially we look at the general case of the seats not numbered.The total number of cases of arranging 8 men and 2 women, so that women are together:⇒ 8×!2!The number of cases where in the women are not together:⇒9!−(8!×2!)=QNow, when the seats are numbered, it can be considered to a linear arrangement and the number of ways of arranging the group such that no two women are together is:⇒ 10!−(9!×2!)But the arrangements where in the women occupy the first and the tenth chairs are not favourable as when the chairs which are assumed to be arranged in a row are arranged in a circle, the two women would be sitting next to each other.The number of ways the women can occupy the first and the tenth position:=8!×2!The value of P =10!−(9!×2!)−(8!×2!)Thus P : Q = 10 : 1   10:1nswer : 10:1
Answer: A
If the President and Vice President must sit next to each other in a row with 1 other members of the Board, how many different seating arrangements are possible?  Answers.
A) 4 B) 16 C) 8 D) 10 E) 2

Solution: We need to take President and VP as one unit. Therefore we have 2 people to arrange=2! ways   Also, we both President and VP can be arranged in 2 ! ways.   Reqd no of ways=2!*2!=4 ways   4nswer 42 *2= 
2 *2 = 4
4 ways   4nswer 4
Answer: A
At 1:00, Annie starts to bicycle along a 58 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Choose the correct choice from the following options
A) 2:30  B) 3:00  C) 3:30  D) 4:00  E) 5:00

Solution: In the first 30 minutes, Scott can travel 6 miles, so there are 52 miles left.   Together Annie and Scott can complete 26 miles.   52/26= 
52/26 = 2
2, so they will meet 2 hours after 1:00.   The answer is 3:00.
Answer: B
8.008/1.001	Choose the correct option
A) 0.008
B) 8
C) 0.8
D) 80
E) 800

Solution: Answer is 8, move the decimal forward three places for both numerator and denominator or just multiply both by a thousand. The result is 8008/1001= 
8008/1001 = 8
8   Answer 8
Answer: B
Sandy is younger than Molly by 14 years. If the ratio of their ages is 7:9, how old is Sandy?
Choose the correct choice from the following.
A) 42 B) 49 C) 56 D) 63 E) 70

Solution: Let Sandy's age be 7x and let Molly's age be 9x.   9x - 7x = 14   x = 7   Sandy is 49 years old.   The answer is 49.
Answer: B
Linda spent 3/5 of her savings on furniture and the rest on a TV. If the TV cost her $400, what were her original savings?  Choose the correct choice from the following options
A) $900 B) $300 C) $600 D) $1000 E) $800

Solution: If Linda spent 3/5 of her savings on furnitute, the rest   5 / 5 - 3 / 5 = 2 / 5 on a TV   But the TV cost her $400. So 2 / 5 of her savings is $400. So her original savings are 5/2 times $400 = $2000/2= 
2000/2 = 1_000
$1000   correct answer $1000
Answer: D
How many ways are there to award a gold, silver and bronze medal to 5 contending teams? Choose the most appropriate option:
A) 10 × 9 × 8  B) 10!/(3!7!)  C) 5 * 4 * 3  D) 543  E) 200

Solution: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 5 ways   if gold medal is given to 1 of the teams then only possible 4 teams can be considered for silver medal. we can do selection in 4 ways   similarly if gold and silver medals are awarded then only remaining 3 teams can be considered for a bronze medal. we can do the selection in 3 ways   Total number of ways to select the 3 possible medal winners = 5 * 4 * 3   5 * 4 * 3orrect answer - 5 * 4 * 3
Answer: C
The sub-duplicate ratio of 25:16 is  Pick one.
A) 4:3  B) 1:2  C) 1:3  D) 5:4  E) 2:3

Solution: root(25):root(16)=5:4   ANSWER:5:4
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
Select.
A) 1234	B) 1345	C) 1350	D) 1500	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
One water pump can fill half of a certain empty tank in 5 hours. Another pump can fill half of the same tank in 5.5 hours. Working together, how long will it take these two pumps to fill the entire tank? Choose the correct choice:
A) 1 7/13  B) 5 5/8  C) 3 1/4  D) 5 5/21  E) 3 1/2

Solution: One pump can fill a tank in 5 hours and another in 5.5 hours   so the rate at which both can half fill the tank is (1/5+1/5.5) => 21/55   Thus half of the tank can be filled in 55/21   so for filling the complete tank => 55/21*2 = 110/21 =5 5/21   ANSWER:5 5/21
Answer: D
Walking at 5/6 of her normal speed, a worker is 12 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is Select the correct option:
A) 36 B) 42 C) 48 D) 54 E) 60

Solution: Let V be her normal speed and let T be her normal time.   D = (5/6)V * (T+12)   Since the distance is the same we can equate this to a regular day which is D = V*T   V*T = (5/6)V * (T+12)   T/6 = 10   T=60   The answer is 60.
Answer: E
Janes can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?	Choose the correct answer:
A) 40 minutes.
B) 1 hour and 30 minutes.
C) 1 hour.
D) 1 hour and 40 minutes.
E) 2 hours and 15 minutes.

Solution: Rate =Output/Time   Janes Rate=25/20=5/4   Dylan Rate=25/60=5/12   1 hour.ombined rate = 5/4+5/12= 20/12   1 hour.ombinedRate*1 hour.ombinedTime= 1 hour.ombinedOutput   20/12*t=150   t=90 mins => 1 hr 30 min
Answer: C
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 1/4, 3/5 respectively. Find the probability of success of at least two.
Choose the correct answer.
A) 1/3 B) 2/5 C) 3/4 D) 3/5 E) 4/5

Solution: The probability of success of at least two students will involve the following possibilities.   The first two students are successful, the last two students are successful, the first and third students are successful and all the three students are successful.   Therefore, the required probability = 1/3 x 1/4 x 2/5 + 1/4 x 3/5 x 2/3 + 1/3 x 3/5 x 3/4 + 1/3 x 1/4 x 3/5 = 1/3   1/3NSWER:1/3
Answer: A
If x+|x|+y=2 and x+|y|-y=6 what is x+y=?
Select the correct option:
A) 1 B) -1 C) 3 D) 5 E) 13

Solution: If x<0 and y<0, then we'll have x-x+y=7 and x-y-y=6. From the first equation y=7, so we can discard this case since y is not less than 0.   If x>=0 and y<0, then we'll have x+x+y=7 and x-y-y=6. Solving gives x=4>0 and y=-1<0 --> x+y=3. Since in PS questions only one answer choice can be correct, then the answer is C (so, we can stop here and not even consider other two cases).   Answer: C.   1dding both eqn we get 2x +IxI+IyI = 13   Now considering X <0 and y>0   2x-x +y = 13   we get x+y =1   Hence answer should be 1
Answer: A
Alex deposited x dollars into a new account that earned 9 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?	Choose the correct answer
A) w/(1+1.08)	B) w/(1.08+1.16)	C) w/(1.09+1.09^2)	D) w/(1.16+1.24)	E) w/(1.08^2+1.08^2)

Solution: Account at the end of the first year would be 1.09x dollars. At this time x dollars was deposited, hence the account at the beginning of the second year would be (1.09x+x) dollars. Account at the end of the second year would be (1.09x+x)*1.09=w --> x(1.09^2+1.09)=w --> x=w/(1.09+1.09^2).   Answer: w/(1.09+1.09^2).
Answer: C
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
Options:
A) 15
B) 30
C) 36
D) 45
E) 46

Solution: Explanation:   Originally, let number of women = x. Then, number of men = 2x.   So, in city Y, we have : (2x - 10) = (x + 5) or x - 15.   Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 45.   Answer: 45
Answer: D
In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 2 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the total number of votes is Choose the correct choice from the following.
A) 1 to 3
B) 1 to 2
C) 1 to 4
D) 2 to 3
E) 3 to 4

Solution: IMO : 1 to 3nswer 1 to 3 1 to 3
Answer: A
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?  Choose the correct answer
A) Rs.1000 B) Rs.1100 C) Rs.1170 D) Rs.1200 E) Rs.1240

Solution: sax Ratio of wages of 20 men, 30 women   and 45 chﬂdren perweek   : (3 x 2o):(2 x 30) (1 x 43) 5   Total wages or 20 men per week   = R5 300   Therefore, wages of a man per week : Rs 15,   sirmlarly, wages of woman per week   : Rs 10 and wages ofchwld perweek Rs 5   Total wages of (15 men, 21 women and 30   chﬂdrenj perweek   = 15x15 + 21x10 + 30x5 = 585   Total wages for 2 weeks = Rs.1170   Rs.1170
Answer: C
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?	Choose the correct choice:
A) 7881  B) 4991  C) 4771  D) 4881  E) 4981

Solution: Let the sale in the sixth month =x   Then (6435+6927+6855+7230+6562+x)/6 =6500   =>6435+6927+6855+7230+6562+x =6×6500   =>34009+x=39000   =>x=39000−34009=4991   ANSWER:4991
Answer: B
A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?  Answers:
A) (L+4)/3	B) (L-4)/4	C) (3L-4)/4	D) (3L-1)/3	E) (3L+4)/4

Solution: A+B = L so we know that B = L - A.   A = 3B-4   A = 3(L-A) - 4   4A = 3L - 4   A = (3L-4) / 4   The answer is (3L-4)/4.
Answer: C
A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 23 per kg, then his gain percent is
Choose the correct answer:
A) 12%
B) 23%
C) 14%
D) 15%
E) 16%

Solution: Explanation:   Suppose he bought 5 kg and 3 kg of tea.   Cost Price = Rs. (5 x 18 + 3 x 20) = Rs. 150.   Selling price = Rs. (8 x 23) = Rs. 184.   Profit = 184 - 150= 
184 - 150 = 34
34   So, Profit %= (34/150) * 100 = 23%   Option 23%
Answer: B
A city with a population of 126,160 is to be divided into 7 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
Choose the correct choice from the following answers:
A) 16,500
B) 16,600
C) 16,700
D) 16,800
E) 16,900

Solution: The minimum possible population occurs when all the other districts have a population that is 10% greater than the least populated district.   Let p be the population of the least populated district.   Then 126,160 = p + 6(1.1)p   7.6p=126,160   p = 16,600   The answer is 16,600.
Answer: B
A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is Choose the most appropriate option:  A) 18 runs  B) 28 runs  C) 48 runs  D) 42 runs  E) 46 runs

Solution: Explanation:   Let average for 10 innings be x. Then,   (10x + 108)/11 = x + 6 => 11x + 66 = 10x + 108 => x = 42.   New average = (x + 6) = 48 runs.   Answer: 48 runs
Answer: C
The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is Choose the correct choice from the following:
A) 9 years
B) 15 years
C) 18 years
D) 21 years
E) None

Solution: Sol.   Total age of 3 boys = (25 x 3) years = 75 years.   Ratio of their ages = 3 : 5 : 7.   Age of the youngest = (75 x 3/15)years = 15 years.   Answer 15 years
Answer: B
A certain sum of money at simple interest amounted Rs.945 in 9 years at 3% per annum, find the sum?
Answers:  A) 338  B) 744  C) 749  D) 788  E) 261

Solution: 945 = P [1 + (9*3)/100]   P = 744   Answer:744
Answer: B
A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform? Answers:
A) 450m	B) 200m	C) 250m	D) 270m	E) 300 m

Solution: D = 72 * 5/18 = 40 = 800 â€“ 250 = 450m   450mNSWER:450m
Answer: A
Four different children have jelly beans: Aaron has 5, Bianca has 7, Callie has 8, and Dante has 9. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child? Choose one:
A) 1  B) 3  C) 4  D) 5  E) 6

Solution: Since Bianca and Callie are both within 1 jelly bean of each other and Aaron has 5, Dante must provide 3 of his 9 jelly beans so each child has no more than 1 fewer jelly bean than any other child.   Dante + Aaron = 9+5= 
9+5 = 14
14/2= 
14/2 = 7
7   9-8= 
9-8 = 1
1 so Dante must provide 3 jelly beans to Aaron.   1nswer (1)
Answer: A
If 0 < m < 1 < n< 5, which of the following must be less than 1? I.m/n II. mn III. n - m  Choose the correct choice from the following answers
A) I,III only	B) III,II only	C) III only	D) I only	E) II only

Solution: n > 1. So, option II, III is not possible.   So, Option I is correct.   Answer : I only
Answer: D
An error 10% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?  Pick.
A) 6.64%  B) 16.64%  C) 15.64%  D) 21%  E) 10.64%

Solution: Percentage error in calculated area   =(10+10+(10Ã—10)/100)%=21%   ANSWER:21%
Answer: D