MU-NLPC/Calc-aqua_rat huggingface dataset:
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 65 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?  Choose the correct choice from the following answers:  A) 15  B) 20  C) 40  D) 47  E) 49

Solution: Car Y began travelling after 72 minutes or 1.2 hours.   Let t be the time for which car Y travelled before it stopped.   Both cars stop when they have travelled the same distance.   So,   35(t+1.2) = 65t   t=1.4   Distance traveled by car X from the time car Y began traveling until both cars stopped is   35 x 1.4   = 49 miles   Answer:- 49
Answer: E
Frederique traveled x/8 of the total distance of a trip at an average speed of 40 miles per hour, where 1=<x=<7. She traveled the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Frederique's average speed for the entire trip?  Choose one:	A) (180-x)/2	B) (x+60)/4	C) (300-x)/8	D) 800/(120+x)	E) 960/(x+16

Solution: Let total distance is 200 miles and X=4.   So, half(4/8) of the distance i.e. 100 miles was traveled at 40 mph and rest 100 at 60 mph.   Thus, the average speed will be (2*40*60)/(40+60)= 
(2*40*60)/(40+60) = 48
48.   Now plugging in the value of x in the answer choices, we get 960/(x+16 as 48.
Answer: E
Each of the following numbers has a remainder of 2 when divided by 4 except:
Choose the correct choice
A) 10
B) 2
C) 14
D) 16
E) 6

Solution: It's 16   16 = 4*4+0
Answer: D
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?  Choices: A) 1 B) 16 C) 15 D) 88 E) 19

Solution: Suppose, first pipe alone takes x hours to fill the tank. Then, second and third pipes will take (x - 5) and (x - 9) hours respectively to fill the tank.   1/x + 1/(x - 5) = 1/(x - 9)   (2x - 5)(x - 9) = x(x - 5)   x2 - 18x + 45 = 0   (x- 15)(x - 3) = 0 => x = 15.Answer:15
Answer: C
Bert left the house with N dollars. He spent 1/4 of this at the hardware store, then $9 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $12 left in his pocket. What was the value of N?
Options:
A) $36
B) $44
C) $52
D) $60
E) $68

Solution: started to test answer B   if he had 44, then he spent 11 at hardware store   now he was left with 33$   he spent 9 dollars on cleaning, thus he remained with 24$   he then spent 1/2 of 24, or 12, and was left with 12.   hence, the only option that can be right is $44
Answer: B
A person travels equal distances with speeds of 4 km/hr, 5 km/hr and 6 km/hr and takes a total time of 47 minutes. The total distance is?  Choose the correct choice from the following answers
A) 2 km
B) 4 km
C) 7 km
D) 9 km
E) 5 km

Solution: Let the total distance be 3x km.   Then, x/4 + x/5 + x/6 = 47/60   37x/60 = 47/60 => x = 1.27   Total distance = 3 * 1.27= 
3 * 1.27 = 3.81
3.81 km.   Answer:4 km
Answer: B
Jackson Consulting reduced headcount by laying off 20% of its employees. If the earnings of each of the remaining employees were the same before and after the layoffs, what is the maximum percentage by which the average earnings of the employees at the company could have increased from its level before the layoffs to its level after the layoffs?  Choose one:
A) 15
B) 16
C) 20
D) 25
E) 40

Solution: Since we are looking to maximize the average with no change in earnings..   Let all the laid off employees were ding Social service :wink: that is they were working without any pay..   so if all 100%,say 100 earlier were earning 100 with average = 1..   Now 80% are earning 100 so average = 100/80 = 1.25..   increase = 1.25-1= 
1.25-1 = 0.25
.25   %= .25/1*100= 
.25/1*100 = 25
25%   ANSWER:25
Answer: D
Length of train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge
Choose the correct choice from the following.
A) 230 meters  B) 235 meters  C) 240 meters  D) 245 meters  E) None of these

Solution: Explanation:   Let the length of bridge is X [as always we do :)]   Speed of train is = 45*(5/18) m/sec = 25/2 m/sec   Time = 30 seconds   Total distance = 130+x   We know Speed = distance/time   so,   130+x/30=25/2   =>2(130+x)=750   x=245 meters   So length of the bridge is 245 meters   Option 245 meters
Answer: D
Kevin professes to sell his goods at the cost price but he made use of 300 grams instead of a kg, what is the gain percent? Choose the correct choice:
A) 33 1/3%	B) 12 1/3%	C) 66 2/3%	D) 32 1/3%	E) 34 1/3%

Solution: 300 --- 100   100 --- ? => 33 1/3%   33 1/3%nswer:33 1/3%
Answer: A
If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.) in a period of 3 years is  Pick one.
A) Rs. 154.50 B) Rs. 155.50 C) Rs. 156.50 D) Rs. 157.50 E) None of these

Solution: Explanation:   We need to calculate the profit of B.   It will be,   SI on the rate B lends - SI on the rate B gets   Gain of B=3500×11.5×3/100−3500×10×3/100   =157.50   Option Rs. 157.50
Answer: D
A man buys an article for $100. and sells it for $125. Find the gain percent? Choose the most appropriate option
A) 10%  B) 15%  C) 25%  D) 20%  E) 30%

Solution: C.P. = $100   S.P. = $125   Gain = $25   Gain% = 25/100 *100= 
25/100 *100 = 25
25%   Answer is 25%
Answer: C
A woman traveled 20 kilometer in 14 meter per second and another 20 kilometer in 18 miles per second. what is the average speed of the entire trip? Choose the most appropriate option.
A) 12.25	B) 13.75	C) 15.75	D) 18.25	E) 19.75

Solution: Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)   2X14X18/32= 15.75. '15.75' is the answer.
Answer: C
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 21 years. The present age of the husband is Choose the correct choice from the following answers
A) 40 B) 38 C) 45 D) 55 E) 65

Solution: Explanation:   Sum of the present ages of husband, wife and child = (27 * 3 + 3 * 3)= 
(27 * 3 + 3 * 3) = 90
90 years.   Sum of the present ages of wife and child= (21 * 2 + 5 * 2)= 
(21 * 2 + 5 * 2) = 52
52 years.   Husband's present age= (90 - 52)= 
(90 - 52) = 38
38 years   Option 38
Answer: B
Some of 45%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced? Pick one: A) 2/5 B) 1/4 C) 1/5 D) 1/7 E) 2/3

Solution: Let total paint = 1   Let amount replaced = x   45 (1-x) + 25x = 40   x = 1/4   ANSWER:1/4
Answer: B
A train running at a speed of 60 kmph crosses a pole in 15 seconds.What is the length of the train?  Choose the correct choice from the following answers:
A) 120 m	B) 180 m	C) 190 m	D) 250 m	E) 160 m

Solution: 60 kmph=50/3 m/sec   50/3*15= 
50/3*15 = 250
250 m   ANSWER:250 m
Answer: D
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 6 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?  Pick.
A) 2y
B) 4y
C) 11/3y
D) 6y
E) 10y

Solution: Anthony performed for 14 days meansw Cindy performed for  (14-6)= 
  (14-6) = 8
8 days.   If 11/3yindy gives y dollars to Anthony their Daily rate will be equal.It means   (x+y)/14=(x-y)/8   Solving we get, x=11/3y   Now Anthony's Advance is x=11/3y .So answer should be 11/3y.
Answer: C
On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?  Choose the correct choice:	A) 1 : 3	B) 2 : 3	C) 2 : 1	D) 3 : 5	E) 3 : 7

Solution: Sol. Let the number of wrong answer - x and number of right answer = 30-x x = 50/100 of (30-x) x = 10   Required ratio = 20 : 10 = 2 : 1   2 : 1
Answer: C
Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?  Choose the correct answer.
A) 1/3	B) 1/5	C) 10/35	D) 6/28	E) 5/21

Solution: The total number of ways to choose 3 shirts from 7 is 710/353 = 35   The number of ways to choose a pink shirt plus 2 shirts from 5 is 510/352 = 10   P(a pink shirt but not a blue shirt) = 10/35 = 2/7   The answer is 10/35.
Answer: C
A car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?  Choose the correct answer
A) 9 B) 16 C) 21 D) 22 E) 27

Solution: Let the speed in highway be h mpg and in city be c mpg.   h = c+6   h miles are covered in 1 gallon   462 miles will be covered in 462/h.   Similarly c miles are covered in 1 gallon   336 miles will be covered in 336/c.   Both should be same (as car's fuel capacity does not change with speed)   => 336/c = 560/h   => 336/c = 560/(c+6)   => 336c+336*6=560c   =>c=336*6/224= 
336*6/224 = 9
9   9nswer 9.
Answer: A
287 x 287 + 269 x 269 - 2 x 287 x 269 = ?  Select:
A) 534 B) 446 C) 354 D) 324 E) None of these

Solution: Given Exp.	= a2 + b2 - 2ab, where a = 287 and b = 269   = (a - b)2 = (287 - 269)2   = (182)   = 324   Answer: Option 324
Answer: D
The sum of four consecutive even numbers is 292. What would be the smallest number? Choices:
A) 49
B) 68
C) 60
D) 57
E) number 70

Solution: number 70   70   Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)   Their sum = 8x - 4 = 292 => x = 37   Smallest number is: 2(x - 2) = 70.
Answer: E
The average of 6 no.'s is 2.5. The average of 2 of them is 1.1, while the average of the other 2 is 1.4. What is the average of the remaining 2 no's?	Pick:
A) 2.3 B) 2.6 C) 3.6 D) 4.5 E) 5

Solution: Sum of the remaining two numbers = (2.5 * 6) - [(1.1 * 2) + (1.4 * 2)]   = 15 - (2.2 + 2.8) = 15 - 5= 
15 - 5 = 10
10   Required average= (10 / 2)= 
(10 / 2) = 5
5   Answer : 5
Answer: E
In a recent election, Ms. Robbins received 5,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Answers.
A) 0.06N + 3,200 B) 0.06N + 5,000 C) 0.4N + 7,200 D) 0.1N + 8,000 E) 0.06N + 8,000

Solution: total vote = N   vote cast by independent voters = 0.4 N   vote cast by registered voters = 0.6 N   vote received by Ms. Robbins = 5000 + 10% of vote be registered voters = 5000 + 0.06 N   Answer choice 0.06N + 5,000
Answer: B
If y = 30p, and p is prime, what is the greatest common factor of y and 6p, in terms of p?  Select
A) p
B) 2p
C) 5p
D) 6p
E) p^2

Solution: Y=30p   other number is 6p   then GCF(30p,6P)=6P; 6p is the correct answer
Answer: D
M = {-6, -5, -4, -3, -2}
T = {-2, -1, 1, 2, 3, 4}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?	Options:
A) 0	B) 1/3	C) 2/5	D) 1/2	E) 4/5

Solution: Answer E.   Total # of outcomes: 5*6= 
5*6 = 30
30   # of outcomes where Product is -ve : (-6,1) ,(-6,2), (-6,3)... Hence, total: 24   Probability: 24/30= 4/5
Answer: E
In an election contested by two parties, Party X secured 20% of the total votes more than Party Y. If party Y got 130,000 votes, by how many votes did it lose the election?
Choose the correct choice from the following choices:  A) 26,000  B) 40,000  C) 65,000  D) 220,000  E) 100,000

Solution: X + Y = 100 ---- (1)   X - Y = 20 ---- (2)   Solving (1) and (2) X = 60% and Y = 40%   45% of Total = 130000   Total = 325000   x = 195000   Difference = 195000 - 130000= 
195000 - 130000 = 65_000
65000   Answer: 65,000
Answer: C
It takes Avery 3 hours to build a brick wall while Tom can do it in 4 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own? Choose the correct choice.
A) 25 minutes.  B) 55 minutes.  C) 1 hour and 41 minutes  D) 1 hour and 35 minutes  E) 1 hour and 20 minutes

Solution: Avery's efficiency is 100/3 = 33%   Tom's = 100/4= 
100/4 = 25
25%   they worked together for 1 hour and finished 58% of the job   remaining=42 %   Tom will complete 25% in 60 minutes , and   17% in   60*17/25= 
  60*17/25 = 204/5 = around 40.8
40.8 minutes   Time taken by Tom to finish the remaining on his own= 60+40.8= 
60+40.8 = 100.8
100.8 minutes (adjusting for 0.2) ~ 101 minutes   ANSWER:1 hour and 41 minutes
Answer: C
In a village of 100 households, 70 have at least one DVD player, 80 have at least one cell phone, and 60 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:
Choose the correct choice from the following options: A) 65 B) 50 C) 45 D) 35 E) 25

Solution: Am I missing something here??? it seems straightforward......   The obvious maximum that have all 3 is 60, because you are limited by the SMALLEST number.   The minimum is simply the sum of the max of each people who DONT have the product, so:    100-80= 
 100-80 = 20
20 don't have Cell    100-70= 
 100-70 = 30
30 don't have DVD   and  100-60= 
 100-60 = 40
40 don't have MP3   SO a total of   20+30+40= 
  20+30+40 = 90
90 combined who might NOT have SOME combination of the 3 products. So subtract that from 100, to give you the minimum of the people who COULD have all 3 and you get  100-90= 
 100-90 = 10
10.   60-10= 
60-10 = 50
50   50
Answer: B
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?  Choose the correct option:
A) 15 B) 19 C) 14 D) 18 E) 16

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 45/3= 
45/3 = 15
15 kmph.   15nswer:15
Answer: A
Carina has 130 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?  Choose the correct choice from the following:
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Lets say 5 and 10 ounce packages be x and y respectively.   Given that, 5x+10y=130 and x=y+2. What is the value of y.   Substituting the x in first equation, 5y+10+10y=130 ->y=120/15.= 
120/15. = 8
8   8
Answer: D
The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?	Choose the correct choice from the following answers:	A) 8 hours	B) 6 hours	C) 4 hours	D) 5 hours	E) 6 hours

Solution: Still Water=12km/hr   5 hoursownstream=45/3= 
45/3 = 15
15km/hr   Upstream=>> still water=(u+v/2) =>> 12=u+15/2 = 9km/hr   So time taken in upstream = 45/9= 
45/9 = 5
5hrs   ANSWER:5 hours
Answer: D
The sale price sarees listed for Rs.510 after successive discount is 12% and 15% is?  Choose the correct choice from the following options: A) 298 B) 237 C) 342 D) 381 E) 291

Solution: 510*(88/100)*(85/100)   = 381   Answer: 381
Answer: D
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
Choose the correct choice.
A) 28
B) 77
C) 22
D) 44
E) 12

Solution: Let the son's present age be x years. Then, man's present age = (x + 24) years   => (x + 24) + 2 = 2(x + 2)   => x + 26 = 2x + 4   So, x = 22   Answer: 22
Answer: C
The speeds of 3 trains in the ratio 10:15:20. The ratio between time taken by them to travel the same distance is? Choose the correct choice from the following answers:
A) 6:4:3
B) 1:2:3
C) 4:8:9
D) 6:5:2
E) 4:8:7

Solution: Ratio of time taken is = 1/10 : 1/15 : 1/20 = 6:4:3   6:4:3nswer is 6:4:3
Answer: A
A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?  Pick.
A) 700
B) 710
C) 720
D) 730
E) 740

Solution: 60% of oranges = 420   100% of oranges =(420×100)/6=700   total oranges = 700   700NSWER : 700
Answer: A
A, B and C can do a work in 15,20,45 days respectively. In how many days they can complete the work together.
Answers:
A) 5.2 days B) 9.2 days C) 8.2 days D) 6.2 days E) 7.2 days

Solution: LCM=180   No of days= [180/ (180/15 + 180/20 + 180/45)   = [180/ (12+9+4)]   = [180/25= 
180/25 = 36/5 = around 7.2
7.2 days   ANSW7.2 daysR:7.2 days
Answer: E
How long will it take for a sum of money to grow from Rs.10000 to Rs.20,000, if it is invested at 25% p.a simple interest?  Choose the correct choice
A) 4 years	B) 64 years	C) 72 years	D) 56 years	E) None

Solution: In this case, Rs. 10000 has become Rs.20000.   Therefore, the interest earned = 20000 – 10000 =10000   Interest for Rs 10000 @ 25% for 1 year = 2500   2500 - 1   10000 - ? => 4 years   4 yearsnswer : 4 years
Answer: A
Find the sum of all odd number upto 250.
Choose the correct option:  A) 15345  B) 15645  C) 15625  D) 15342  E) 15683

Solution: Explanation:   Number of odd numbers upto 250 = n/2 = 250/2= 
250/2 = 125
125   Sum of first 125 odd numbers= (125)2   = 15625   Answer: Option 15625
Answer: C
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of six metres is left from all sides of the boundary of the garden. What is the length of the garden?  Choose the correct choice from the following answers.
A) 32
B) 34
C) 26
D) 28
E) 30

Solution: Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length   Also, 6 meter is left from all sides of the boundary of the garden.   Hence, length of the garden = (11 Ã— 2) + 6 + 6 = 34 meter   Answer is 34.
Answer: B
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) 2387  B) 209  C) 240  D) 278  E) 121

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
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: C
An empty bottle weighs 1/6th of the full bottle. When a certain percent of water was removed and the bottle was weighed, the weight of the bottle turned out to be 1/3rd of the bottle when it was full. What is the percent of water removed? Options.
A) 70% B) 85% C) 80% D) 75% E) 65%

Solution: Explanation:   Let the weight of full bottle be 6kg.   Therefore, weight of empty bottle is 1kg and that of water is 5kg.   If x% of water is removed, the weight of the bottle becomes 2kg.   Therefore, the amount of water removed is 4kg.   % of water removed = 4/5 *100= 
4/5 *100 = 80
80%   ANSWER 80%
Answer: C
By selling 100 pens, a trader gains the cost of 40 pens. Find his gain percentage? Answers.
A) 40% B) 50% C) 60% D) 70% E) 30%

Solution: Let the CP of each pen be Rs. 1.   CP of 100 pens = Rs. 100   Profit = Cost of 40 pens   = Rs. 40   Profit% = 40/100* 100= 
40/100* 100 = 40
40%   40%nswer: 40%
Answer: A
A train passes a man standing on the platform. If the train is 150 meters long and its speed is 54 kmph, how much time it took in doing so? Choose the correct option
A) 10 sec
B) 13 sec
C) 14 sec
D) 15 sec
E) 16 sec

Solution: D = 150   S = 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 150/15= 
150/15 = 10
10 sec   10 secnswer:10 sec
Answer: A
How many three digit numbers that do not contain the digit 3 are there?	Choose the correct choice
A) 100  B) 200  C) 648  D) 680  E) 729

Solution: Applying combinations....8 * 9 * 9 = 648...   8 for first digit...cant be 0 or 3   9 and 9 for 2nd and 3rd....cant be 3   ANSWER: 648
Answer: C
In the construction of a house, some persons can do a piece of work in 8 days. Four times the number of such persons will do half of that work in :	Choose one:
A) 1 day
B) 2 days
C) 3 days
D) 4 days
E) None of these

Solution: Explanation :   Solution: Let x men can do the work in 8 days and the required number of days be z.   More men, less days (IP)   Less work, less days (DP)   men 4x : x   } : : 8 : z   Work 1 : 1/2   .'. (4x*1*z) = (x*1/2 * 8)   => z = 1   1 daynswer : 1 day
Answer: A
Albert invested an amount of Rs.8000 in a FD scheme for 2yrs at CI rate 5 p.c.p.a. How much amount will Albert get on maturity of the FD?
Choose the correct choice from the following choices:
A) Rs. 7000  B) Rs. 7020  C) Rs. 7900  D) Rs. 8000  E) Rs. 8820

Solution: Amount   = Rs. 8000 x 1 +	5 2   100   = Rs. 8000 x	21	x	21   20	20   = Rs. 8820.   Rs. 8820
Answer: E
How many multiples of 13 are less than 6000, and also multiples of 16?
Choices:
A) 30
B) 29
C) 34
D) 32
E) 33

Solution: LCM of 13 & 16 = 208   Tried dividing 6000 by 208   Got quotient 28.84'So 29 is answer
Answer: B
The salary of a worker is first increased by 25% and afterwards reduced by 25%. What is the net change in the worker's salary?	Choose the most appropriate option:
A) 3.25% increase
B) 3.25% decrease
C) 6.25% increase
D) 6.25% decrease
E) no change

Solution: Let x be the original salary.   The final salary is 0.75(1.25x) = 0.9375x   The answer is 6.25% decrease.
Answer: D
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?  Options:  A) 7  B) 4  C) 6  D) 9  E) 3

Solution: M = 45   S = 1.5   DS = 6   US = 3   AS = (2 * 6 * 3) /9= 
(2 * 6 * 3) /9 = 4
4   Answer:4
Answer: B
If M : N = 1 : 2, N : O = 2 : 3 and O : P = 4 : 5, then M : N : O : P is : Choose the correct choice from the following choices
A) 2 : 4 : 6 : 7 B) 4 : 2 : 6 : 7 C) 12 : 15 : 8 : 4 D) 4 : 8 : 12 : 15 E) None of these

Solution: Explanation :   Solution: M : N = 1 : 2, N : O = 2 : 3, O : P = 4 : 5 = (4 *3/4 : 5 * 3/4) = 3 : 15/4.   .'. M : N : O : P = 1 : 2 : 3 : 15/4 = 4 : 8 : 12 : 15   Answer : 4 : 8 : 12 : 15
Answer: D
In how many ways can the letters of the word EDUCATION be arranged?	Answers.
A) 2580
B) 2500
C) 2000
D) 2520
E) 362880

Solution: EDUCATION has 9 words. Thus ways = 9! = 362880 ways   362880
Answer: E
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze? Choose the correct choice from the following choices
A) 1210  B) 2772  C) 2678  D) 2672  E) 2992

Solution: π (232 – 122) = 1210   1210nswer:1210
Answer: A
Aunt Mary owns a bakery where she sells lemon cakes for R dollars a piece. Each lemon cake is made with S kgs of flour, and T kgs of lemon. At the local market, flour is sold at U dollars per kg, and lemon at V dollars per kg.
How much profit has she made, after selling W lemon cakes?	Select the correct option.
A) WSU-TVR
B) WR-WTV-WSU
C) WTV+WR+WSU
D) W(TU-SV-R)
E) R(W+UV+TV)

Solution: The cost of lemon used for one cake=TV dollars   The cost of flour used for one cake= SU dollars   Then, the cost price=W(TV+SU) dollars   The selling price= RW dollars   So, the profit= RW-W(TV+SU) dollars   The answer is WR-WTV-WSU!!
Answer: B