MU-NLPC/Calc-aqua_rat huggingface dataset:
The ratio of Laxmi's age to the age of her mother is 3:11. The difference of their ages is 24 years. The ratio of their ages after 3 years will be?	Options
A) 1 : 9
B) 1 : 3
C) 1 : 2
D) 1 : 1
E) 3 : 3

Solution: Suppose age of Laxmi is x years.   The difference of their ages   \inline \therefore Ratio of their ages after 3 years = =   = 12 : 36 = 1 : 3   Answer:1 : 3
Answer: B
If the product of two numbers is 82500 and their H.C.F. is 55, find their L.C.M. Choose the correct answer:
A) 2574
B) 2500
C) 1500
D) 1574
E) None of these

Solution: Explanation:   H1500F * L1500M = 82500, because we know   Product of two numbers = Product of H1500F and L1500M   L1500M = 82500/55= 
82500/55 = 1_500
1500   Option 1500
Answer: C
4, 5, 7, 11, 19, (...)
Choose the correct option:	A) 22	B) 35	C) 27	D) 32	E) 30

Solution: 4   4 × 2 - 3 = 5   5 × 2 - 3 = 7   7 × 2 - 3 = 11   11 × 2 - 3 = 19   19 × 2 - 3 = 35   Answer is 35.
Answer: B
If k > 0, x + k = y, and y + 4k = z, what is the ratio between z - x and y - x ?
Choose the correct choice.
A) 2 to 1	B) 3 to 2	C) 3 to 1	D) 4 to 1	E) 5 to 1

Solution: y-x = k   z-y = 4k   Let's add the two equations together:   z-x = 5k   The ratio of z-x to y-x is 5:1.   The answer is 5 to 1.
Answer: E
In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choose the correct choice from the following options:
A) 384	B) 287	C) 279	D) 267	E) 229

Solution: 384verage mark scored by all the three boys =   [64/100 (800) + 36/100 (800) + 44/100 (800)] / 3   = 384   384nswer: 384
Answer: A
Car A runs at the speed of 52km/hr & reaches its destination in 10hr. Car B runs at the speed of 46 km/h & reaches its destination in 8h. What is the respective ratio of distances covered by Car A & Car B?
Select the correct option.
A) 62:25
B) 66:52
C) 68:15
D) 65:41
E) 23:59

Solution: Sol. 65:41istance travelled by Car A = 52 × 10 = 520 km   65:41istance travelled by Car B = 46 × 8 = 368 km   Ratio = 520/368 = 65:41   65:41
Answer: D
An unbiased die is tossed .find the probability of getting a multiple of 3	Choose the correct choice
A) 4/5	B) 7/8	C) 9/8	D) 1/3	E) 6/5

Solution: Here S={1,2,3,4,5,6}   Let E be the event of getting the multiple of 3   then ,E={3,6}   P(E)=n(E)/n(S)=2/6=1/3   Ans: 1/3
Answer: D
In a garden, 26 trees are planted at equal distances along a yard 300 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees?  Choose the correct choice from the following options
A) 10
B) 8
C) 12
D) 14
E) 16

Solution: 26 trees have 25 gaps between them.   Length of each gap = 300/25= 
300/25 = 12
12   i.e., distance between two consecutive trees= 12   Answer is 12.
Answer: C
a man and a woman, walking together start out by both taking a step with the left foot. in order to keep together, the man whose stride is longer, takes two steps while the woman takes three. how many steps will the woman have taken they are both about to step out on the right foot for the first time together? Choose the most appropriate option:
A) 10
B) 20
C) 30
D) 40
E) never

Solution: it never happens   so answer is never   ANSWneverR:never
Answer: E
It costs $2 for the first 15 minutes to use the bumper cars at a fair ground. After the first 15 minutes it costs $6 per hour. If a certain customer uses the bumper cars for 3 hours and 25 minutes, how much will it cost him?
Choose one: A) $22 B) $3 C) $15 D) $21 E) $30

Solution: 3 hrs 25 min = 205 min   First 15 min ------> $2   Time left is 190 min...   Now, 60 min costs $ 6   1 min costs $ 6/60   190 min costs $  6/60*190= 
 6/60*190 = 19
> $ 19   So, Total cost will be $19 + $2 => $ 21   The answer will be ($21) $2119 +  2= 
19 +  2 = 21
> $ 21   The answer will be ($21) $21
Answer: D
Bella is taking a trip in her car from New York (point A) Chicago, Illinois (point B). She is traveling at an average speed of 50 miles per hour, If the total distance from point A to point B is 790 miles, in approximately how long will Bella reach her destination?	Choose the correct option:
A) 10 hours B) 12.50 hours C) 15.80 hours D) 25 hours E) 1 day

Solution: Answer is (C). If she is traveling at a speed of 50 miles per hour and her trip is a total of 790 miles, 790 miles divided by 50 miles per hours would equal 15.80 hours, just shy of 16 hours.
Answer: C
The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is? Pick one
A) 4 months	B) 6 months	C) 8 months	D) 9 months	E) 1 months

Solution: S.I. on Rs. 1600 = T.D. on Rs. 1680.   Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.   Time =(100 x 80/1600 x 15)year   =1/3	year = 4 months.   4 monthsnswer:4 months
Answer: A
A 12 lt solution is 33 1/3% acid. How much water must be added to get the solution having 20 % acid.
Select the correct option.
A) 8
B) 9
C) 10
D) 7
E) 5

Solution: A 12 lt solution is 33 1/3% acid.   means 4 ltr acid and 8 ltr water.   If x is final solution, then   4 ltr = x* 20/100   x=20 ltr   so water to be added = 20-12= 
20-12 = 8
8 ltr   8NSWER:8
Answer: A
A man can row at 5 kmph in still water. If the velocity of current is 3 kmph and it takes him 1 hour to row to a place and come back, how far is the place?	Choose the correct answer:
A) 2.4 km
B) 2.9 km
C) 3.4 km
D) 4.4 km
E) 1.6 km

Solution: 1.6 kmxplanation:   Speed in still water = 5 kmph   Speed of the current = 3 kmph   Speed downstream = (5+3)= 
(5+3) = 8
8 kmph   Speed upstream= (5-3)= 
(5-3) = 2
2 kmph   Let the required distance be x km   Total time taken= 1 hour   â‡’ x/8+x/2=1   â‡’x+4x=8   â‡’5x=8   â‡’x=1.6 km   Answer: Option 1.6 km
Answer: E
If x > 7, which of the following is equal to (x^2 + 2x + 1)/(x^2 - 1) ? Choose one:
A) (x + 4)/(4(x - 4))	B) (x - 4)/(x + 4)	C) (x - 2)/(x + 4)	D) (x + 1)/(x - 1)	E) (x - 8)/(x - 4)

Solution: (x^2 + 2x + 1)/(x^2 - 1)   = (x + 1)(x + 1) / (x + 1)(x - 1)   =(x + 1)/(x - 1)   D. (x + 1)/(x - 1)
Answer: D
At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 20% of the other books are new releases. What fraction of all new releases are the historical fiction new releases? Options.
A) 4/25  B) 8/23  C) 2/5  D) 8/14  E) 2/3

Solution: let there be 100 books in all   Historic fiction books = 40% of total = 40   Other books = 60   New historic fiction = 40% of 40 = 16   Other new books = 20% of 60 = 12   total new books = 28   fraction = 16/28 = 8/14   Ans: 8/14
Answer: D
2x + y = 18
|y| <= 18
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers? Pick:	A) 11	B) 13	C) 15	D) 17	E) 19

Solution: Hi - The questions says |y| <=18 so the values of y will range from 0 to 18.So the values of y will be 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18. So 19 (E) is the answer. remember sign doesn't matter for y as y will always be positive.19
Answer: E
Find the simple interest on $1000 for 3 years at 10% per annum? Choose the most appropriate option:
A) $250 B) $300 C) $500 D) $600 E) $1000

Solution: SI = PTR/100   = 1000*3*10/100= 
1000*3*10/100 = 300
$300   Answer is $300
Answer: B
For how many values of W, is |||W - 5| -10| -5| = 2?
(Those ls are mods)  Choose the correct choice from the following.
A) 0 B) 2 C) 4 D) 8 E) More than 8

Solution: I think its 8   |||W-5|-10|-5| =2   let |W-5| = a which makes above   ||a-10|-5| =2   let |a-10| = b which makes   |b-5| = 2   now for the above b can take 3, 7   for every b =3 a can have 13, 7   and for b = 7 a can have 17 and 3   so 'a' has four solutions 13, 7, 17 and 3   for a = 13; W has 18 or -8 thus has 2 for every combination hence 4x2 = 8   answer 8
Answer: D
what is the remainder of (3682*3684*3686) divided by 19?	Select:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: 3686%19 = 0   so ans = 0   0NSWER:0
Answer: A
Linda and Angela contract to paint a neighbor's house. Even though Linda
spends 20% more time painting the house than Angela, each receives a payment
of m dollars when the work is completed. If Angela decides to pay Linda n
dollars so that they would have received the same compensation per hour
worked, what is n in terms of m?
Options
A) A)(1/2)m
B) B)(1/3)m
C) C)(1/4)m
D) D)(1/5)m
E) E)(1/11)m

Solution: let angela work for 10hrs and get 1100 rs. (m =1100)   According to question, linda works 20% more time and gets the same amount. so let linda work 12 hrs and get 1100 rs.   so they do a total of  12 +10= 
 12 +10 = 22
22 hrs of work and get 2200 rs together . The question basically asks to equalise their payment. so a total of 2200 rs is received by them and they do 20 hrs work together. average rate will be  2200/22= 
 2200/22 = 100
100 rs per hr. so linda should get 12*100= 
12*100 = 1_200
1200 rs. But she got only 1100. so angela should give 100 rs to linda. answer= 100/1100 =1/11   answer (1/11)m
Answer: E
An artist sells paintings through an on-line store, which take a commission of 11% of the price set by the distributor. The distributor obtains the painting from an artist at the price of $20 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 11% profit on the cost of the item? Choose the correct choice from the following
A) 28.11 B) 27.99 C) 36.44 D) 44.12 E) 14.99

Solution: Painter price = $20;The distributor wants to maintain a 11% profit on the cost of the item, thus he must get $ 20*1.11= 
 20*1.11 = 22.2
$22.20 after the store takes a commission of 11% of the final price --> (final price)*0.79= $22.20 --> (final price) = $28.11. 28.11nswer: 28.11.
Answer: A
If a coin is tossed twice, what is the probability that one of the flips was heads and one of the flips was tails?	Choose one:	A) 1/2	B) 1/8	C) 1/4	D) 1/6	E) 3/4

Solution: The possible cases are =>{Head,Head} {Head,Tail} {Tail,Head} {Tail,Tail}   Possible Cases=4   Favourable cases = 2   P(E) = 2/4 = 1/2   1/2nswer: 1/2
Answer: A
The average age of a board of 8 functional directors in a company is the same as it was 3 years ago, a younger man having been substituted for one of the directors. How much younger was the new man than the director whose place he took. Choose the correct choice from the following answers
A) 24 years  B) 26 years  C) 28 years  D) 27 years  E) None of the above

Solution: Let the new man was younger than the director = x years and 3 years ago, the sum of ages of board of directors   = S – 8 × 3 = S – 24   Then, 3 years ago, average age of board of directors   = S−24/8   Now, S−24/8=S−x/8   ⇒ x = 24 years   Shortcut Method : If the new young director would have been not substituted, then total age would have increased at present by 8 × 3 = 24 years.   Therefore, the new man is 24 years younger keeping the average at present same as 3 years ago.   24 yearsnswer 24 years
Answer: A
What is the remainder when 121212.......(300) digits is divided by 99.  Choose the correct option.
A) 18  B) 36  C) 72  D) 0  E) 1

Solution: 12/99=12   1212/99=24   121212/99=36   .   .   .   121212...(300)/99=(12*300)%99=36   if they say 300 digits then (12*150)%99=18   18NSWER:18
Answer: A
A man goes to work daily. Everyday his wife picks him from railway station at 6 o'clock. One day, he left office early and reached the station at 5 o'clock. So, he started walking home. On the way, he met his wife, and they returned together in the car. They reached home ten minutes earlier than usual time. How much time did the man walk? Choose the correct choice from the following.
A) 50 minutes.  B) 55 minutes.  C) 54 minutes.  D) 52 minutes.  E) 45 minutes.

Solution: the man leaves office 1 hr means 60 minute early..wife and man save 10 minutes..so if wife does not meat his husband then she has to go   (10/2)= 
  (10/2) = 5
5 minutes more..so husband walk for (60-5)= 
 (60-5) = 55
55 minutes.   ANSWER:55 minutes.
Answer: B
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 222 marks in the second test and failed by 39 marks in that test. Find the pass mark in the first test?  Pick one
A) 768  B) 232  C) 246  D) 625  E) 224

Solution: Let the maximum mark in each test be M.   The candidate failed by 36 marks in the second test.   pass mark in the second test = 222 + 39 = 252   45/100 M = 261   Pass mark in the first test = 40/100 M = 40/45 * 261= 
40/45 * 261 = 232
232   Answer:232
Answer: B
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream? Choose the correct option:  A) 5 kmph  B) 4 kmph  C) 9 kmph  D) 8 kmph  E) 6 kmph

Solution: Speed of the boat in still water = (50+60)/2= 
(50+60)/2 = 55
55 kmph. Speed of the stream= (60-50)/2= 
(60-50)/2 = 5
5 kmph.   5 kmphnswer:5 kmph
Answer: A
Calculate how many days it will take for 5 boys to paint a 65 m long wall if 2 boys can paint a 40 m long wall in 4 days,
Choose the correct choice from the following answers: A) 2.6 days B) 3.6 days C) 5.6 days D) 6 days E) 2 days

Solution: The length of wall painted by one boy in one day = 40 / 2 * 1/4= 
40 / 2 * 1/4 = 5
5 m   No. of days required to paint 50 m cloth by 8 boys= 65/ 5 *1/ 5= 
65/ 5 *1/ 5 = 13/5 = around 2.6
2.6 days.   2.6 days
Answer: A
What is the least value of x, So that 2x5478 is divisible by 9 Choose the correct choice from the following answers.
A) 7	B) 8	C) 9	D) 1	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 + 8 = 26 + x   Least value of x may be '1',   So that the total 26 + 1= 
26 + 1 = 27
27   is divisible by 9.   Answer: Option 1
Answer: D
Tom is 12 years older than his sister, Amy. He is also four times her age. How olx is Tom?	Answers:
A) 14 years
B) 15 years
C) 16 years
D) 17 years
E) 18 years

Solution: Amy's age is x.   Tom is 12 years older than her, so his age is x+12. He is also, however, 4 times his sister's age, so his age is also 4x.   x+12=4x   3x=12   x=4   This means Amy is 4 years old. If Tom is 12 years older, or 4 times her age, this means he is 16 years old.   ANSWER: 16 years
Answer: C
In an exam, students need to answer 120 multiple choice questions. If the question paper is divided into 10 sections, how many questions are there in a section? Choose the correct choice from the following answers.
A) 6	B) 12	C) 10	D) 4	E) 50

Solution: 120 questions divided into 10 sections means each section containing  120/10= 
 120/10 = 12
12 questions. Answer 12.
Answer: B
Sameer spends 40% of his salary on food articles and 1/3rdof the remaining on transport. If he saves Rs.450 per month which is half of the balance after spending on food items and transport, what is his monthly salary?	Choose the most appropriate option:
A) Rs.1125  B) Rs.2250  C) Rs.2500  D) Rs.4500  E) None

Solution: Explanation:   Suppose, salary = Rs.100   Expenditure on food = Rs.40   Rs.2250alance = Rs.60   Expenditure on transport   = 1/3×60=Rs.20   Now balance = Rs.40   Saving = Rs.20   If saving is 20, salary = Rs.100   If saving is 450,   salary = Rs.(100/20×450)=Rs.2250   Correct Option: Rs.2250
Answer: B
A house wife saved $2.75 in buying an item on sale. If she spent $20 for the item, approximately how much percent she saved in the transaction?	Answers
A) 8%	B) 9%	C) 10%	D) 11%	E) 12%

Solution: Actual price = 20+2.75= 
20+2.75 = 22.75
$22.75   Saving= 2.75/22.75 * 100 = 12% approximately   Answer is 12%
Answer: E
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 10 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?	Choose the correct choice from the following answers
A) R-4	B) R/(R+4)	C) R/(R-8)	D) 8/(R-20)	E) 2R - 4

Solution: Let T be the time thatAlexwill have been walking when Brenda has covered twice as much distance as Alex.   In T hours Alex will cover 4T miles;   Since Brenda begins her journey 1 hour later than Alex then total time for her will be T-1 hours, and the distance covered in that time will be R(T-1);   We want the distance covered by Brenda to be twice as much as that of Alex: 2*10T=R(T-1) --> 20T=RT-R --> T=R/(R-20).   Answer: R/(R-8).
Answer: C
What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?	Select the correct option:  A) 1  B) 2  C) 3  D) 5  E) 6

Solution: (1056 / 23) gives remainder 21   21 + 2= 
21 + 2 = 23
23, So we need to add 2   2
Answer: B
if a2+b2=177and ab=54 then find the value of a+b/a-b?	Choose the correct choice from the following:  A) 5  B) 15  C) 6  D) 3  E) 7

Solution: (a+b)2=a2+b2+2ab=117+2*24=225   a+b=15   (a-b)2=a2+b2-2ab=117-2*54   a-b=3   a+b/a-b=15/3= 
15/3 = 5
5   5NSWER 5 5
Answer: A
What will come in place of the x in the following Number series? 5,28,57,88,125  Options
A) 134	B) 145	C) 166	D) 150	E) 170

Solution: 28=23+5   57=29+28   88=31+57   125=37+88   166=41+125= 
41+125 = 166
166   166
Answer: C
At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 21 liters of forest green to change it to Verdant green?
Answers
A) 1/3
B) 7
C) 1/2
D) 1/7
E) 1/8

Solution: 21 liter of Forset green have 12 liter of blue and 9 liter of yellow   Suppose we add x liter of yellow to make it a verdant green so the ratio of blue to yellow in verdant green is ¾ so the equation is   7lue/yellow =12/(9+x) = ¾   27+3x=48 => x =7   Answer : 7
Answer: B
A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph? Choose the most appropriate option:	A) 15%	B) 20%	C) 25%	D) 30%	E) 40%

Solution: Total time for travelling 80 miles @ 60 mph = 80/60 = 4/3 hour = 80 minutes.   Given, the car uses 1 gallon for every 40 minutes of driving @ 60 mph. Thus in 80 minutes it will use = 2 gallons. Thus, full tank = 2+6= 
2+6 = 8
8 gallons ---> 2/8= 25% of the fuel used. 25% is the correct answer.
Answer: C
If mn > 0, which of the following must be negative?  Select
A) m/n	B) mn	C) m+n	D) 2m+n	E) -m * n

Solution: - * + = -   Answer : -m * n
Answer: E
Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to
right. How far is he from his original position?	Choose one.
A) 87 B) 66 C) 60 D) 27 E) 22

Solution: Explanation:   No explanation is available for this question!   ANSWER: 60
Answer: C
A set of numbers has the property that for any number t in the set, t + 1 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 3
II. 1
III. 5
Choose the correct choice from the following
A) I only	B) II only	C) I and II only	D) II and III only	E) I, II, and III

Solution: The question is which of the followingmustbe in the set, notcouldbe in the set.   If -1 is in the set so must be   -1+1= 
  -1+1 = 0
0, as 0 is in the set so must be   0+1= 
  0+1 = 1
1, as 1 is in the set so must be   1+1= 
  1+1 = 2
2 and so on. So basically knowing that -1 is in the set we can say that ALL numbers more than -1 are also in the set.   Answer: I, II, and III.
Answer: E
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choose the correct option:
A) 9 B) 8 C) 5 D) 5 E) 4

Solution: 1 to 9 = 9 * 9= 
9 * 9 = 81
81   1 to 5= 5 * 10= 
5 * 10 = 50
50   5 to 9= 5 * 8= 
5 * 8 = 40
40   5th= 50 + 40= 
50 + 40 = 90
90 – 81= 9   9nswer:9
Answer: A
Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 1500 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 1500 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 1500 jars?	Choices.
A) m/(m + n)  B) n/(m + n)  C) mn/(m + n)  D) mn/(m – n)  E) mn/(n – m)

Solution: “Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 1500 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 1500 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 1500 jars? ”   Since the number “1500 jars” appears over and over, let’s arbitrarily say 1500 jars = 1 lot, and we’ll use units of lots per hour to simplify our calculations.   P’s individual rate is (1 lot)/(m hours) = 1/m. The combined rate of P & Q is (1 lot)/(n hours) = 1/n. We know   (P’s rate alone) + (Q’s rate alone) = (P and Q’s combined rate)   (Q’s rate alone) = (P and Q’s combined rate) – (P’s rate alone)   (Q’s rate alone) = 1/n – 1/m = m/ (nm) – n/ (nm) = (m – n)/(nm)   We now know Q’s rate, and we want the amount of 1 lot, so we use the “art” equation.   1 = [(m – n)/ (nm)]*T   T = (mn)/(m – n)   Answer = mn/(m – n)
Answer: D
If 2x/|y| = -16 which of the following must be true?	Choose the correct choice
A) x = -y B) x = y C) x^2 =64 * y^2 D) x^2 = y^2 E) x^3 = y^3

Solution: 2x/|y| = -16   2x= -16 |y|   Squaring both sides   4*x^2= (-16 |y|) ^2=256* y^2   x^2 = 64 * y^2   x^2 =64 * y^2 is the answer
Answer: C
The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?
Choose the correct choice from the following answers.
A) 32999 B) 37500 C) 37199 D) 37512 E) 37511

Solution: Let length = x meters, then breadth = 0.6x   Given that perimeter = 800 meters   => 2[ x + 0.6x] = 800   => x = 250 m   Length = 250m and breadth = 0.6 * 250= 
0.6 * 250 = 150
150m   Area= 250 * 150= 
250 * 150 = 37_500
37500   Answer: 37500
Answer: B
Find the fourth proportion to 6,12,18  Choices:	A) 24	B) 12	C) 36	D) 8	E) 15

Solution: Explanation:   6:12 :: 18:x   => 6/12= 18/x   => x = 18*12/6   => x = 24   Answer:36
Answer: C
A car takes 6 hours to cover a distance of 360 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?	Options
A) 60  B) 50  C) 40  D) 70  E) 65

Solution: Time = 6   Distance = 360   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 360/9= 
360/9 = 40
40 Kmph   Answer 40.
Answer: C
Two trains start simultaneously from opposite ends of a 160-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 160-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 160-km trip in 3 hours. How many kilometers had Train X traveled when it met Train Y?	Choose the correct choice from the following answers.
A) 56
B) 58
C) 60
D) 62
E) 64

Solution: If the two trains cover a total distance D, then Train X travels (3/8)*D while Train Y travels (5/8)*D. If the trains travel 160 km to the meeting point, then Train X travels  (3/8)*160= 
 (3/8)*160 = 60
60 km. The answer is 60.
Answer: C
Set S consists of integers {1,2,3,4}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 6?
Choose the correct choice from the following answers:
A) 1/3
B) 1/6
C) 2/3
D) 2/5
E) 3/7

Solution: Number of ways you can choose 2 from 4 = 4C2 = 6   E = event of getting the 2 numbers is more than 6 = (3,4) = 1   probability = 1/6   Answer is 1/6
Answer: B
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?  Choose the correct choice from the following options:
A) 2277 B) 2987 C) 2799 D) 1277 E) 9680

Solution: A= P{1 + R/100}n   => 8000{1 + 10/100}2 = Rs.9680   Answer: 9680
Answer: E