MU-NLPC/Calc-aqua_rat huggingface dataset:
Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 7:00 am and Pipe B at 8:00 am, at what time will the pool be full?
Choose the correct choice from the following answers:
A) 16:00	B) 18:00	C) 19:00	D) 20:00	E) 17:00

Solution: Pipe A fills the pool in 4 hrs.   1 hour's work : 1/4   Pipe B empties the pool in 6 hrs.   1 hour's work : 1/6   Together if they work, 1 hour's work = 1/4 -1/6 = 1/12   Given : Pipe A started at 7:00 a.m and Pipe B at 8:00 a.m   Pool filled after 1 hour by Pipe A : 1/4 or 3/12   After 8:00 a.m   Pool filled after 1 hour with both the pipes on : 1/12   Pool filled after 9 hours with both pipes on : 9/12   Pool filled in 1 hour + Pool filled in 9 hours = 3/12 +9/12= 
3/12 +9/12 = 1
1   Therefore, it takes 10 hrs to fill the pool   As Pipe A started at 7:00 a.m, pool is full at 17:00 hrs   Answer : 17:00
Answer: E
A number increased by 10% gives 660. The number is?	Choose the correct choice from the following: A) 200 B) 300 C) 500 D) 600 E) 400

Solution: Formula = TOTAL=100% ,INCREASE = "+" 600ECREASE= "-"   A number means = 100 %   That same number increased by 10 % = 110 %   110 % -------> 660 (110 Ã— 6 = 660)   100 % -------> 600 (100 Ã— 6 = 600)   Option '600'
Answer: D
A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 10 km/hr. What was the average speed for the whole journey?
Pick one:
A) 14.2 km/h B) 17.1 km/h C) 19.3 km/h D) 21.7 km/h E) 23.5 km/h

Solution: time 1 = d / 60   time 2 = d / 10   total time = d/60 + d/10 = 7d/60   average speed = total distance / total time = 2d / (7d/60) = 17.1 km/h   The answer is 17.1 km/h.
Answer: B
Walking at 3/4 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
Choose the correct option: A) 36 B) 48 C) 60 D) 62 E) 66

Solution: Let V be her normal speed and let T be her normal time.   D = (3/4)V * (T+12)   Since the distance is the same we can equate this to a regular day which is D = V*T   V*T = (3/4)V * (T+12)   T/4 = 9   T=36   The answer is 36.
Answer: A
The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 27, what is the value of a?  Choose the correct choice from the following choices:
A) 18  B) 20  C) 21  D) 22  E) 24

Solution: Let a=2k, b=3k, and c=4k.   a+b+c = 2k+3k+4k = 9k   Since the average is 27:   9k/3 2 +3 +4= 
2 +3 +4 = 9
9k   Since the average is 27:   9k/3= 27   3k = 27   k=9   Then a=18.   The answer is 18.
Answer: A
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choose the correct choice from the following options: A) 188 m B) 876 m C) 251 m D) 150 m E) 145 m

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 15 => y = x/15   x + 100 / 25 = x / 15   x = 150 m.   Answer: 150 m
Answer: D
According to a survey, at least 55% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?  Choices
A) 10%	B) 20%	C) 25%	D) 0%	E) 35%

Solution: To minimize the percentage who like all three, let's maximize the percentage who like 2 out of 3.   80% like cherries and 20% don't like cherries.   Let's combine this with the people who like bananas.   20% don't like cherries but do like bananas.   55% like cherries and bananas.   25% like cherries but not bananas.   Now let's distribute the people who like apples.   20% like bananas and apples, but not cherries.   25% like cherries and apples, but not bananas.   10% like all three.   45% like cherries and bananas, but not apples.   The answer is 10%.
Answer: A
If 76 is divided into four parts proportional to 7,5,3,4, then the smallest part is Pick one:
A) 17 B) 15 C) 16 D) 19 E) 12

Solution: Given ratio=7:5:3:4   Sum of ratio trems =19   Smallest part=(76x3/19)=12   ANSW12R 12 12
Answer: E
The positive integers p and q leave remainders of 2 and 3, respectively, when divided by 6. p > q. What is the remainder when p – q is divided by 6?  Choose the correct choice from the following options.
A) 5	B) 4	C) 3	D) 2	E) 1

Solution: Let's test out some values of p and q that satisfy the given information.   p leaves are remainder of 2 when divided by 6   So, p COULD equal 8   q leaves are remainder of 3 when divided by 6   So, q COULD equal 3   What is the remainder when p – q is divided by 6?   So, p - q = 8 - 3= 
8 - 3 = 5
5, and when we divide 5 by 6, we get 0 with remainder 5   5nswer: 5
Answer: A
A student can select one of 10 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.	Select the correct option:
A) 22 B) 72 C) 99 D) 37 E) 120

Solution: 10C1×3C1×4C1 = 10x3x4=120 ways   Answer:120
Answer: E
Find the number of factors W of 180 that are in the form (4*k + 2), where k is a non-negative integer?  Choose the correct choice from the following options.
A) 1 B) 2 C) 3 D) 4 E) W=6

Solution: As for the question, the most straightforward way is to list out the factors (this is fine for this question as 180 is a relatively small number). Number of factors of 180 W(=2^2*3^2*5) = 18. So listing the factors gives us:   1, 180   2, 90   3, 60   4, 45   5, 36   6, 30   9, 20   10, 18   12, 15   As the question asks us about the factors of the form 4k+2 ---> eliminate all ODD factors. You are now left with   2,4,6,10,12,18,20,30,36,60,90,180   For the form 4k+2, the first few values are 2, 6, 10, 14, 18, 22, 26, 30 ... already giving you 5 factors (=2,6,10,18,30). You can stop here and mark 6 (6th one = 90) as the correct answer as 5 is not given.   For checking any particular factor whether they conform to the form 4k+2---> do the following   4k+2 = 36 ---> 4k = 34 --> this will NOT give you an integer value for k ---> reject. Proceed with others until you find all the values asked.   W=6 is thus the correct answer.
Answer: E
To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much
time A and C will take	Choose the correct choice from the following choices:  A) 24 days  B) 16 days  C) 12 days  D) 8 days  E) None of these

Solution: Explanation:   A+B 1 day work = 1/8   B+C 1 day work +  1= 
+  1 = 1
1/8   B+C 1 day work = 1/12   A+B+C 1 day work  +  1= 
 +  1 = 1
1/12   A+B+C 1 day work = 1/6   We can get A work by (A+B+C)-(B+C)   And C by (A+B+C)-(A+B)   So A 1 day work  + +  1= 
 + +  1 = 1
1/6   We can get A work by (A+B+C)-(B+C)   And C by (A+B+C)-(A+B)   So A 1 day work=   16−112=112   Similarly C 1 day work =   16−18=4−324=124   So A and C 1 day work =   112+124=324=18   So A and C can together do this work in 8 days   Answer: 8 days
Answer: D
The current birth rate per certain number of people is 32, whereas corresponding death rate is 11 per same number of people. If the net growth rate in terms of population increase is 2.1 percent, find number of persons.(initally) Select:	A) 1000	B) 10000	C) 100	D) 2000	E) 20000

Solution: Sol.   Net growth on X = (32- 11)= 
(32- 11) = 21
21.   Net growth on 100= (21/X Ã— 100)% = 2.1%. Then X = 1000   1000nswer:1000
Answer: A
A and B together can do a piece of work in 10 days. B alone can finish it in 20 days. In how many days can A alone finish the work ?
Choose one
A) 10  B) 20  C) 21  D) 22  E) 23

Solution: Time taken by A to finish the work = XY/(Y-X)   = 10 x 20 / (20-10)   = 200/10= 
200/10 = 20
20 days   ANSWER : OPTION 20
Answer: B
A can do a piece of work in 12 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
Options:	A) 3 days	B) 5 days	C) 6 days	D) 7 days	E) 11 days

Solution: B's 9 day's work = 9 x (1/12) = 3/4   Remaining work = (1 - 3/4) = 1/4   1/4 work is done by A in = 12 x (1/4) = 3 days.   answer : 3 days
Answer: A
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.700, what is the reduced price for kg? Choose the correct choice from the following answers
A) 35
B) 60
C) 70
D) 80
E) 20

Solution: 35   700*(25/100)= 
700*(25/100) = 175
175 ---- 5   ? ---- 1=> Rs.35
Answer: A
In the first 10 overs of a cricket game, the run rate was only 3.8. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Choose the correct choice:
A) 4.25  B) 5  C) 6.1  D) 7  E) 7.5

Solution: Required run rate = 282 - (3.8 x 10) =	244   244/40= 
244/40 = 61/10 = around 6.1
6.1   6.1)
Answer: C
By selling 12 toffees for a dollar, a man loses 20%. How many for a should dollar be sell to get a gain of 20%?
Choices:
A) 23
B) 12
C) 78
D) 2
E) 8

Solution: E   S.P. of 12 toffees be $ x.   Then, 80:1 = 120:x or x = 120/180 = 3/2   For $ 3/2, toffees sold = 12.   For Re. 1, toffees sold = 12 * 2/3= 
12 * 2/3 = 8
8
Answer: E
The average age of 20 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher. Choices: A) 35 B) 38 C) 45 D) 36 E) 60

Solution: Explanation:   If teacher's age is 15 years, there is no change in the average. But teacher has contributed 1 year to all the students along with maintaining his age at 16.   Age of teacher = Average age of all + Total increase in age   = 16 + (1 x 20 ) = 36 years   Answer:36
Answer: D
A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race?	Select the correct option:	A) 1 minute	B) 5 minutes	C) 12 minutes	D) 20 minutes	E) 24 minutes

Solution: 4 kmph, 6 kmph and 8 kmph is equal to 4000/60 mtrs/min, 6000/60 mtrs/min and 8000/60 mtrs/min or 200/3, 100, 400/3 mtrs/min respectively.   Seeing this we can infer that the answer should be at least divisible by 3. (minutes in options are integers. So if the answer is not divisible by 3, we will have 200/3*answer = distance traveled by A in fractions whereas 100*answer = distance traveled by A as integer)   So, A,B and D are out.   At 12 min A,B and C will travel 800, 1200 and 1600 mtrs respectively. Length of the circle is given as 400 mtrs.   As 800, 1200 and 1600 are divisible by 400, we can say that A,B and C will be at starting point after 12 min.   Hence, 12 minutes will be the answer.
Answer: C
There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains same digits only.Can you find that number ?  Choices:
A) 142857
B) 135957
C) 123354
D) 114457
E) 133257

Solution: 142857 * 1= 
142857 * 1 = 142_857
142857   142857 * 2= 
142857 * 2 = 285_714
285714   142857 * 3= 
142857 * 3 = 428_571
428571   142857 * 4= 
142857 * 4 = 571_428
571428   142857 * 5= 
142857 * 5 = 714_285
714285   142857 * 6= 
142857 * 6 = 857_142
857142   These number are considered as cyclic numbers.   correct answer is 142857)142857
Answer: A
The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?  Choices:
A) 8.78	B) 8.67	C) 8.75	D) 8.98	E) 8.28

Solution: (5 * 3.5)/2= 
(5 * 3.5)/2 = 8.75
8.75   Answer:8.75
Answer: C
A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is three-fifth of the distance traveled by bus. If he traveled by train, plane and bus, then find the distance traveled by bus?	Choose the correct choice from the following answers.
A) 450 km  B) 850 km  C) 1200 km  D) 750 km  E) None of these

Solution: Total distance traveled = 1800 km.   Distance traveled by plane = 600 km.   Distance traveled by bus = x   Distance traveled by train = 3x/5   => x + 3x/5 + 600 = 1800   => 8x/5 = 1200 => x = 750 km.   ANSWER:750 km
Answer: D
Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/6, what percent of the total number of the remaining employees would then be clerical?
Choices.
A) 25%  B) 22.2%  C) 20%  D) 29.4%  E) 11.1%

Solution: Welcome, just post the question and the choices   Let's see, the way I did it was   1/3 are clerical out of 3600 so 1200 are clerical   1200 reduced by 1/6 is 1200*1/6   so it reduced 200 people , so there is 1000 clerical people left   but since 200 people left, it also reduced from the total of 3600 so there are 3400 people total   since 1000clerical left / 3400 people total   you get (A) 29.4%   Answer : 29.4%
Answer: D
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?	Choose the most appropriate option
A) 11
B) 12
C) 14
D) 18
E) 21

Solution: Sol. 2 oxen = 3 buffaloes = 4 cows 8 oxen = 16 cows and 15 buffaloes = 20 cows 16 cows + 20 cows + 24 cows = 60 cows Since fodder is available for 60 cows for 24 days   So fodder will be available for  (60 + 8 + 12)= 
 (60 + 8 + 12) = 80
80 cows c 24x60 .0 .   for-^—=18 days.   18
Answer: D
Which is greater 2/3 or 3/4? Choose the correct option:  A) 2/3  B) 3/4  C) both are equal  D) Cannot be determined  E) both are equal and equal to 1

Solution: To know which is greater 2/3 or 3/4   = Multiply both by 4*3= 
4*3 = 12
12 ( Product of denominator)= 2/3 * 12 and 3/4 * 12 respectively   = 8 and 9 respectively   which means 3/4 is greater.   Ans: 3/4
Answer: B
A carpenter makes 7 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers? Choose the correct choice from the following options.
A) 3. B) 4. C) 5. D) 6. E) 7.

Solution: I believe it is C because if 1C makes 3 beds in 1 day then:   1C's rate = 3/1   So 5c's = 3/1 * 5= 
3/1 * 5 = 15
15/1= 
15/1 = 15
15 beds in a day.   Since we have 173 soldiers who need beds and bunk beds come in pairs, 72 is the least amount of beds needed.   Time= Amount / Rate   Time = 72 / (15/1) = 72/15, simplifying we get 72/15 = 24/5 = 7   So, in order for the carpenters to be able to finish they need 7 whole days. At first I made the mistake of thinking how many whole days it took them to finish (as in ignore the partial day) but the prompt clarifiesdays in advance, meaning how many days would they need to finish so even if they finish early, theyusedthat day.   7.
Answer: E
A money lender lent a total of $1700 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1700, how much did he lend to each of the two customers?  Answers
A) 700; 1100  B) 1139; 561  C) 1000; 800  D) 1200; 800  E) None of the above

Solution: The method given above is the one given in the book.   However the method I used was   (1*x*5)/100 + (1700-x)*6/100 = 1700*5.67/100   Simplifying we get x=561   1139; 561
Answer: B
What should come in place of question mark (?) in the following equation?
45% of 1500 + 35% of 1700 = ? % of 3175. Choose one:
A) 50 B) 45 C) 30 D) 35 E) None of these

Solution: 45% of 1500 + 35% of 1700 = ? % of 3175   ∴ ? = 1270003175=40   Answer None of these
Answer: E
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?  Answers:
A) 27 7/8 m	B) 77 7/9 m	C) 27 8/9 m	D) 27 7/9 m	E) 22 7/9 m

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train = 50/9 * 5 = 250/9   = 27 7/9 m.   Answer: 27 7/9 m
Answer: D
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60? Choices:
A) 10  B) 20  C) 38  D) 42  E) 33

Solution: Let n the number of students who scored below 60 and N the number of students who scored 60 or more. Xi the grades below 60 and Yi the grades 60 or above.   [sum(Xi) + sum(Yi)] / 20 = 70 : class average   sum(Xi) / n = 50 : average for less that 60   sum(Yi) / N = 75 : average for 60 or more   50n + 75N = 1400 : combine the above equations   n + N = 20 : total number of students   n = 4 and N = 16 : solve the above system   correct answer 20
Answer: B
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? Select the correct option.
A) 5/21  B) 5/14  C) 9/14  D) 16/21  E) 1/3

Solution: Explanation:   Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)   As remaining person can be any one among three couples left.   Required probability = (⁵C₂ * ⁶C₁)/¹⁰C₅   = (10 * 6)/252 = 5/21   5/21NSWER IS 5/21
Answer: A
If t,u, and v are positive integers and 2t=2u+2v, which of the following must be true?
i. t=u
ii. u is not equal to v
iii. t > v
Select:  A) None  B) I only  C) II only  D) III and I  E) III only

Solution: Notice two things: 1. we are asked to find out which of the following MUST be true, not COULD be true and 2. t, u, and v are positive integers.   Given: 2st=2u+2v --> t=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I is never true and III is always true. As for II: it's not necessarily true, for example 4=2+2. So, we have that only option III must be true.   Answer: III only
Answer: E
It is currently 9:53 PM. What time was it in the morning exactly 149,061 minutes ago?  Choices.
A) 9:12	B) 9:18	C) 9:26	D) 9:32	E) 9:38

Solution: Divide by 60 to convert 149,061 minutes to hours: 149,061/60 = 2,484 R21. That is 2,484 hours and 21 minutes. All of the answers are in the 9AM hour before :53, thus we can assume 2,484 previous must be 9:53 AM. 21 minutes before that is 9:32 AM. 9:32
Answer: D
A photograph is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover? Choose the correct choice from the following choices
A) 76  B) 65  C) 59.5  D) 49  E) 38.5

Solution: Area covered by photograph = (8.5-3)*(10-3)   =5.5*7= 
5.5*7 = 38.5
38.5   Answer 38.5
Answer: E
Express of the following as a fraction: 0.6% Choose the correct choice from the following options: A) 1/500 B) 7/500 C) 3/500 D) 8/500 E) None of them

Solution: 0.6 =6/1000 = 3/500   Answer is 3/500.
Answer: C
The ratio of two quantities is 2 to 5. If each of the quantities is increased by 4, what is the ratio of these two new quantities?  Choose the correct choice from the following answers
A) 2/5 B) 5/8 C) 7/13 D) 22/25 E) It cannot be determined from the information given.

Solution: Correct Answer: E   Let x and y be the two quantities such that x/y = 2/5. There is no algebraic operation that can be used to increase x and y each by 3 and determine what happens to the ratio 2/5.   For example, if x = 2 and y = 5, then (x+4)/(y+4) = (2+4)/(5+4) = 6/9. However, if x = 4 and y = 10 (which would still set x/y = 2/5), then (x+3)/(y+3) = (4+4)/(10+4) = 8/14. The ratio of the two new quantities cannot be uniquely determined from the information given, and the correct answer is (It cannot be determined from the information given.).
Answer: E
A box contains 5 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
Choose the correct choice from the following answers
A) 3/4	B) 4/7	C) 5/8	D) 7/9	E) 6/11

Solution: Each ball has an equal chance (1/11) of being selected fourth.   The probability that a black ball is selected fourth is 6/11.   The answer is 6/11.
Answer: E
The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?  Choose the correct choice from the following answers.
A) 83.5 km/hr B) 84.5 km/hr C) 86.5 km/hr D) 87.5 km/hr E) None of these

Solution: Explanation:   Let the speeds of two trains be 7X and 8X km/hr.   8/X=400/4=>X=12.5Km/hr   So speed of first train is   12.5*7= 
  12.5*7 = 87.5
87.5 km/hr   Option 87.5 km/hr
Answer: D
Adding two non multiples of W always results in a multiple of W; which of the following must be the value of W ?
Options: A) [A] two B) [B] three C) [C] five D) [D] ten E) [E] hundred

Solution: NON- multiples of 2 would always be ODD and sum of two odd would be EVEN.   so irrespective of value of non-multiples, sum of two them would always be even and thus multiple of 2..   [A] two
Answer: A
The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the fortythird term in the sequence? Choose the most appropriate option.
A) 2	B) 3	C) 6	D) 4	E) 5

Solution: Following the rule of Infinite sequence we obtain the terms of the sequence as mentioned below   02,07,22,67, 202, 607, 1822, 5467...   Observe the last two digits of the sequence which have the cyclicity of4and the last two digits repeat in the order {02, 07, 22, 67}   Also 43rd Term =5*8 +3   i.e. 35th Terms will have same Last two digits as 3rd term of the sequence = 22   i.e. Sum of lat two digits of 35th Term = 2+2= 
2+2 = 4
4   4
Answer: D
How many terminating zeroes Q does 200! have?	Options.
A) 40	B) 48	C) 49	D) 55	E) 64

Solution: You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.49
Answer: C
Evaluate ((5.68)2 – (4.32)2)/5.68- 4.32
Answers:
A) 8 B) 9 C) 10 D) 11 E) 12

Solution: Given Expression = a2-b2/ a-b = (a+b) (a-b)/ a-b = (a+b)   (5.68)2 – (4.32)2/5.68- 4.32 = (5.68+ 4.32)= 
(5.68+ 4.32) = 10
10   ANSWER:10
Answer: C
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be: Choose the correct answer:  A) 22  B) 23  C) 24  D) 26  E) 25

Solution: Explanation:   Let the number of hens be x and the number of cows be y.   Then, x + y = 48 .... (i)   and 2x + 4y = 140 x + 2y = 70 .... (ii)   Solving (i) and (ii) we get: x = 26, y = 22.   The required answer = 26.   ANSWER IS 26
Answer: D
Skier SARAH completes a straight 300-meter downhill run in t seconds and at an average speed of (x + 10) meters per second. She then rides a chairlift back up the mountain the same distance at an average speed of (x - 8) meters per second. If the ride up the mountain took 135 seconds longer than her run down the mountain, what was her average speed, in meters per second, during her downhill run? Choose the correct choice from the following answers:
A) 10 B) 15 C) 20 D) 25 E) 30

Solution: Backsolving is the preferred approach for this one   300/(x-8) - 300/(x+10) = 135   We are asked for the value of x+10   So we can start with 20 = X+10 = 20   So x = 10   300/2 - 300 / 20= 
300/2 - 300 / 20 = 135
135   Hence answer is 20
Answer: C
John is measuring a banner for the school play and needs to know how many inches are in 5 yards and 2 feet. Can you help him out? Pick one:
A) 235 inches.
B) 204 inches.
C) 220 inches.
D) 206 inches.
E) 208 inches.

Solution: B   204 inches.   5 yards is the same as 15 feet(3 feet = 1 yard).15 feet +2 feet = 17 feet. There are 12 inches in each foot. So 17 feet x 12 = 204 inches.
Answer: B
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choose the correct choice:
A) 443 m	B) 354 m	C) 450 m	D) 350 m	E) 250 m

Solution: 350 m   350   350 m = 72 * 5/18 = 25 = 500 – 150 = 350
Answer: D
The diagonals of a rhombus are 13 cm and 20 cm. Find its area?  Choose the correct choice from the following answers
A) 329
B) 288
C) 150
D) 130
E) 31

Solution: 1/2 * 13 * 20= 
1/2 * 13 * 20 = 130
130   Answer: 130
Answer: D